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Explicit reconstruction of space- and time-dependent heat sources with integral transforms Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-12-04 Anny R. Negreiros; Diego C. Knupp; Luiz A. S. Abreu; Antônio J. Silva Neto
Abstract This work addresses an explicit methodology based on integral transforms for the inverse problem of reconstructing space and time dependent heat sources. The basic idea is to perform an integral transformation of the heat conduction equation and obtain an explicit expression for the integral transformed heat source in terms of the integral transformed temperatures. Once temperature measurements
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Implicit discrete ordinates discontinuous Galerkin method for radiation problems on shared-memory multicore CPU/many-core GPU computation architecture Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-09-29 Xiao Xu
Abstract The implicit discrete ordinates (SN ) discontinuous Galerkin (DG)/generalized minimal residual (GMRES) method has been implemented on shared-memory, multicore CPU/many-core GPU heterogeneous computation architecture via standard application programming interfaces (APIs) of open multiprocessing (OpenMP) and computer unified device architecture (CUDA). The compiler derivative based OpenMP parallelization
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Analysis of electro-osmotic flow by lattice Boltzmann simulation and Helmholtz-Smoluchowski formula Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-09-22 Shr-Chuan Yang; Tony Wen-Hann Sheu
Numerical study of electro-osmotic flow (EOF) and theoretical exploration of relationship between EOF and electrical double layer (EDL) are carried out in the present work. Under the Poisson-Boltzmann and Debye-Hückel approximations, the analytic solution of electric potential, net charge, and flow pattern can be derived. The numerical results obtained by Poisson-Nernst-Planck (PNP) and Navier-Stokes
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Hybrid solutions for thermally developing flows in channels partially filled with porous media Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-09-18 Kleber Marques Lisboa; José Luiz Zanon Zotin; Renato Machado Cotta
A new approach based on the Generalized Integral Transform Technique is advanced to deal with convective heat transfer in partially porous channels under local thermal nonequilibrium (LTNE) formulation. A semi-infinite partially porous parallel plates channel configuration is used to illustrate the semi-analytical solution methodology. The proposed eigenfunction expansion is based on a novel coupled
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Point mean beam length, a new concept to enhance the computational efficiency of multidimensional, non-gray radiative heat transfer Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-09-14 Walter W. Yuen; Wai Cheong Tam
A new concept of point mean beam length (PMBL) is introduced. For enclosures with simple geometry, this concept provides a fundamental self-consistent interpretation on the various different definition of the conventional mean beam length. The concept is further demonstrated to be effective in enhancing the computational efficiency for multidimensional radiative heat transfer in non-gray media. In
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The Physical Influence Scheme applied to staggered unstructured grids for solving fluid flow problems Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-15 Sérgio Peters; Hermínio T. Honório; Clovis R. Maliska
In this article, a finite volume formulation for solving the Navier-Stokes equations using unstructured hybrid grids and a staggered arrangement of variable pressure and velocity is presented. In this manner, a tight spatial pressure-velocity coupling is ensured without compromising geometrical flexibility. A second contribution of this work lays upon proposing a suitable interpolation function for
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Numerical analysis on flow pattern and heat transfer characteristics of flow boiling in the mini-channels Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-13 Fuxia Huang; Jin Zhao; Yongde Zhang; Hang Zhang; Chao Wang; Zihao Liu
Flow pattern and heat transfer of flow boiling for different flow orientation, mini-channel width and height were presented in this work. The data were obtained by the numerical simulation with the coolant of R141b flow in a vertical mini-channel. Orientation includes upward and downward. A constant heat flux was loaded at the wall of the channel, of which the width ranges from 1 mm to 3 mm, and a
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Identifying heat conductivity and source functions for a nonlinear convective-diffusive equation by energetic boundary functional methods Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-06-16 Chein-Shan Liu; Han-Taw Chen; Jiang-Ren Chang
In the article, we solve the inverse problems to recover unknown space-time dependent functions of heat conductivity and heat source for a nonlinear convective-diffusive equation, without needing of initial temperature, final time temperature, and internal temperature data. After adopting a homogenization technique, a set of spatial boundary functions are derived, which satisfy the homogeneous boundary
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Acceleration of high-order combined compact finite difference scheme for simulating three-dimensional flow and heat transfer problems in GPUs Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-07 Neo Shih-Chao Kao; Rex Kuan-Shuo Liu; Tony Wen-Hann Sheu
In this article, the high-order upwinding combined compact difference scheme developed in a three-point grid stencil is applied to solve the incompressible Navier-Stokes (NS) and energy equations in three dimensions. The time integrator with symplectic property is employed to approximate the temporal derivative term in inviscid Euler equation so as to numerically retain the embedded Hamiltions and
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Numerical study of the oscillation amplitude effect on the heat transfer of oscillatory impinging round jets Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-21 Saeed Jahangiri; Amir Hossein Shiravi; Mostafa Hosseinalipour; Arun S. Mujumdar
In this study, the effect of oscillation amplitude on the pulsed impinging jets in different nozzle to surface distances and Reynolds numbers investigated. Generally, the heat transfer increases by increasing frequency and amplitude. For distances smaller and longer than the length of the jet potential core the threshold frequency is highly dependent on the amplitude. As the amplitude increases, the
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Numerical study of the oscillation amplitude effect on the heat transfer of oscillatory impinging round jets Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-21 Saeed Jahangiri; Amir Hossein Shiravi; Mostafa Hosseinalipour; Arun S. Mujumdar
Abstract In this study, the effect of oscillation amplitude on the pulsed impinging jets in different nozzle to surface distances and Reynolds numbers investigated. Generally, the heat transfer increases by increasing frequency and amplitude. For distances smaller and longer than the length of the jet potential core the threshold frequency is highly dependent on the amplitude. As the amplitude increases
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On the stability and convergence of numerical solutions Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-14 V. A. F. Costa
Abstract This work aims to clarify and discuss, in a simultaneously accurate and simple way, some relevant issues on the stability and convergence of numerical solutions that are not usually presented in the literature and available for the students in this form. These include stability and physically realistic solutions of unsteady problems, and why the unconditionally stable Crank-Nicolson scheme
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Mesh-free multilevel iterative algorithm for Navier–Stokes equations Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-11 Nikunja Bihari Barik; T. V. S. Sekhar
In this article, we developed a computationally efficient multilevel local radial basis function (RBF-FD) mesh-free algorithm. The algorithm provides a new strategy to get good order of accuracy with less computational time, which is most important in the present world. The main idea is the layer-by-layer calculation and then layer-by-layer correction from coarsest level to finest level node points
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A global approach for the time-dependent solution of natural convection in a tilted porous cavity Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-11 Amin Fahs; Ali Zakeri; Adrien Wanko
Natural convection in an inclined cavity filled with saturated porous media has been investigated. A time-dependent solution using a spectral weighted residual method is determined. Preparing the governing equations by the substitution of the stream functions, we obtained a system of nonlinear ordinary differential equations. Integrating in time using the Runge-Kutta method of variable order the final
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Developing unconditional moment models of turbulent combustion Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-11 L. X. Zhou
Turbulent combustion models are substantially important in CFD simulation of combustion. Some simple models frequently cannot well simulate the finite-rate chemistry. Widely recognized models are good only for certain flame types and flame structures. More general is the PDF equation model, but its computation requirement is very large, in particular when using large-eddy simulation (LES). Alternatively
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A global approach for the time-dependent solution of natural convection in a tilted porous cavity Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-11 Amin Fahs; Ali Zakeri; Adrien Wanko
Abstract Natural convection in an inclined cavity filled with saturated porous media has been investigated. A time-dependent solution using a spectral weighted residual method is determined. Preparing the governing equations by the substitution of the stream functions, we obtained a system of nonlinear ordinary differential equations. Integrating in time using the Runge-Kutta method of variable order
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Developing unconditional moment models of turbulent combustion Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-08-11 L. X. Zhou
Abstract Turbulent combustion models are substantially important in CFD simulation of combustion. Some simple models frequently cannot well simulate the finite-rate chemistry. Widely recognized models are good only for certain flame types and flame structures. More general is the PDF equation model, but its computation requirement is very large, in particular when using large-eddy simulation (LES)
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A two-dimensional finite element recursion relation for the transport equation using nine-diagonal solvers Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-06-22 Sogol Pirbastami; Darrell W. Pepper
A Galerkin-based finite element recursion relation is used to solve the heat transport equation in two-dimensions. The finite element method (FEM) is a powerful technique that is commonly used for solving complex engineering problems. However, the implementation of the FEM in multi-dimensional problems can be computationally expensive. A finite element recursion algorithm based on bilinear triangular
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Numerical study on heat transfer of Stirling engine heater tube with rectangular micro-ribs Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-06-22 Hua Zhu; Xiaohong Yang; Rui Tian; Lei Han; Liping Wang
Numerical simulations were carried out to study the heat transfer and friction characteristics for Stirling engine heater tubes with three-dimensional internal extended micro-rib. During the numerical simulations, phase angle in a cycle ranged from 0° to 360°. The results represent that the friction factor (f) increased with micro-rib length (L) and micro-rib height (H) for enhanced tube within the
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A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method for incompressible Navier-Stokes equations Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-22 Zheng-Ji Chen; Zeng-Yao Li; Wen-Quan Tao
Abstract A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method is presented for incompressible Navier-Stokes equations based on two local Gauss integrations which effectively replace a unit operator (first level) and an orthogonal project operator (second level). The present VMS-MLPG method allows arbitrary combinations of interpolation functions for the velocity and pressure
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A new modified skew upwind differencing scheme for convective flows Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-20 Perwez Siddiqui
Abstract In this article, a new modified skew upwind differencing scheme (MSUDS) for convective flow is presented. This scheme is tested by pure advection test cases such as Step, Sine-square, Semi-ellipse, and Smith-Hutton test profiles. The benchmark lid-driven cavity flow problem is also solved with this MSUDS scheme. All the results are well plotted and validated. All the data regarding overshoots/undershoots
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An improved compressive volume of fluid scheme for capturing sharp interfaces using hybridization Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-17 Ashish Arote; Mukund Bade; Jyotirmay Banerjee
Abstract A Compressive volume-of-fluid (VOF) schemes exhibits numerical diffusion which inhibit them in obtaining a numerically sharp and wrinkle free description of fluid interface which is vital for understanding the complex interfacial dynamics. Therefore, the present study introduces a novel compressive VOF scheme capable of capturing sharp abrupt interfaces at stringent Courant conditions while
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A finite volume method preserving maximum principle for steady heat conduction equations with modified Anderson acceleration Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-13 Huifang Zhou; Zhiqiang Sheng; Guangwei Yuan
Abstract In this article, we propose a finite volume scheme preserving the discrete maximum principle (DMP) for steady heat conduction equations on distorted meshes. In contrary to these finite volume schemes preserving DMP, our new scheme uses the geometric average (instead of harmonic average) of two one-side numerical heat fluxes, especially it produces a more accurate flux approximation, which
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Novel numerical method for heat conduction using superposition of exact solutions Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-09 Keith A. Woodbury; Forooza Samadi; James V. Beck
Abstract A novel formulation for numerical solution of heat conduction problems using superposition of exact solutions (SES) to represent temperature on sub-elements of a region is described and demonstrated. A simple 1-D linear problem is used to describe the method and highlight potential benefits; however, extensions to higher geometric dimensions and linearization for temperature-dependent properties
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A novel numerical method for steady-state thermal simulation based on loop-tree and HBRWG basis functions Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-09 Liang Chen; Min Tang; Zuhui Ma; Junfa Mao
Abstract This article presents a novel numerical method for steady-state thermal simulation. This method firstly solves the heat flux efficiently by applying the loop-tree basis functions. Then, the temperature is obtained by finding solutions of the gradient equation. The half boundary Rao-Wilton-Glisson (HBRWG) basis functions are employed for handling arbitrary boundary conditions. In addition,
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An implicit implementation of the characteristic boundary condition in a fully coupled pressure-based flow solver Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-09 M. M. Alloush; F. Moukalled; L. Mangani; M. Darwish
Abstract The article deals with an implicit formulation of the pressure far field boundary condition, also known as the characteristic boundary condition, in a pressure-based coupled solver. This boundary condition applies to compressible flows over the entire Mach regime, and is derived by invoking the Riemann invariants to implicitly express the flow variables at inlets and outlets in terms of their
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Thermal anisotropy in binary alloy solidification: An equivalent isotropic model Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-07 Amman Jakhar; Prasenjit Rath; Prodyut Ranjan Chakraborty; Swarup Kumar Mahapatra
Abstract A continuum mixture model is proposed for phase change of binary alloy including the effect of thermal anisotropy. Thermal anisotropy is incorporated by an additional departure source in the conventional isotropic heat transfer-based energy equation. The governing equations for heat, mass, momentum, and species transport are solved using implicit finite volume method. The pressure and velocity
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Avoiding under-relaxations in SIMPLE algorithm Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-07 M. M. Rahman
Abstract The SIMPLE algorithm is devised by interpolating the mass continuity and non-advective momentum equations, provoking apparent simplicity and clarity in the formulation. The SIMPLE variant entitled as the SIMPLE-AC scheme convokes an artificial compressibility (AC) parameter to augment the diagonal dominance of discretized pressure-correction equation. Both methods are characteristically pressure-based
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A numerical methodology for simulation of non-Newtonian viscoelastic flows Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-07-07 J. C. Tomio; M. M. Martins; M. Vaz Jr.; P. S. B. Zdanski
Abstract The non-Newtonian fluids presenting viscoelastic flow behavior are found in many engineering applications. The development of a new numerical scheme for solution of this class of problems is the main goal of the present work. The proposed methodology adopts a second-order fully implicit finite difference approximation to discretize the convection and diffusion terms in the governing equations
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A fully implicit conjugate heat transfer method Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-05-06 Luca Mangani; Marwan Darwish; Lucian Hanimann; Ali Al Abed; Ernesto Casartelli; Fadl Moukalled
This article deals with the development of an implicit and conservative method for conjugate heat transfer at solid-fluid interfaces. The technique is applicable for both conformal and non-conformal meshes. The method, which is implemented within a fully coupled in-house code, is symmetric in its treatment of the solid and fluid regions and is shown to be very robust for highly complex configurations
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A hybrid discontinuous spectral element method and filtered mass density function solver for turbulent reacting flows Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-17 Jonathan Komperda; Zia Ghiasi; Dongru Li; Ahmad Peyvan; Farhad Jaberi; Farzad Mashayek
We present a novel hybrid scheme for the large eddy simulation (LES) of turbulent reacting flows. The scheme couples the discontinuous spectral element method (DSEM) solver for the unsteady compressible Navier-Stokes equations with a Monte Carlo particle filtered mass density function (FMDF) solver for the transport of reacting species. The method is capable of high-order simulations on unstructured
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Can pulsation unsteadiness increase the convective heat transfer in a pipe flow? A systematic study Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-16 L. P. Geng; Y. Jin; H. Herwig
Unsteady laminar and turbulent pipe flows subjected to a constant temperature gradient in axial direction are investigated based on asymptotic considerations. The thermal boundary condition is that of a constant wall heat flux for a steady flow. The unsteadiness is induced by a sinusoidal pressure gradient with different amplitudes and frequencies. The asymptotic analysis is performed with the help
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A new meshless “fragile points method” and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part II: Validation and discussion Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-10 Yue Guan; Rade Grujicic; Xuechuan Wang; Leiting Dong; Satya N. Atluri
In the first part of this two-paper series, a new computational approach is presented for analyzing transient heat conduction problems in anisotropic nonhomogeneous media. The approach consists of a truly meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI) scheme for time discretization. In the present article, extensive numerical
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A grad-div stabilized projection finite element method for a double-diffusive natural convection model Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-07 Yunhua Zeng; Pengzhan Huang
In this article, a grad-div stabilized projection finite element method is proposed for the double-diffusive natural convection model. Moreover, for the presented method, the stability analysis, and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found that the presented method can improve the accuracy of the solution compared
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A new meshless “fragile points method” and a local variational iteration method for general transient heat conduction in anisotropic nonhomogeneous media. Part I: Theory and implementation Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-07 Yue Guan; Rade Grujicic; Xuechuan Wang; Leiting Dong; Satya N. Atluri
A new and effective computational approach is presented for analyzing transient heat conduction problems. The approach consists of a meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational Iteration (LVI) scheme for time discretization. Anisotropy and nonhomogeneity do not give rise to any difficulties in the present implementation. The meshless FPM is
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A level set redistancing algorithm for simulation of two-phase flow Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-06 R. D. An; C. H. Yu
Incompressible two-phase flow involving interface evolution was studied using a level set method. To maintain the level set function as a signed distance function from the zero level set and meanwhile preserve the mass conservation, a level set redistancing algorithm of level set methods was developed. Important to the above level set redistancing algorithm was a new idea that keeps the zero level
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Prediction of radiation spectra of composite with periodic micron porous structure Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-06 Bo Liu; Feng-Xian Sun; Xue Chen; Xin-Lin Xia
In this work, one three-dimensional periodic composite structure consisting of alumina frame and inscribed nickel spheres is proposed for designing the micron composite porous structure. The finite-difference time domain method is applied for predicting the radiation spectra of proposed composite structure and distribution of absorbed radiative power. The spectral characteristics of composite structure
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Local least–squares element differential method for solving heat conduction problems in composite structures Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-06 Xiao-Wei Gao, Yong-Tong Zheng, Nicholas Fantuzzi
In this article, a completely new numerical method called the Local Least-Squares Element Differential Method (LSEDM), is proposed for solving general engineering problems governed by second order partial differential equations. The method is a type of strong-form finite element method. In this method, a set of differential formulations of the isoparametric elements with respect to global coordinates
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Stability of the numerical solution of unsteady heat conduction: A mechanical approach Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-04-02 V. A. F. Costa
This work proposes a mechanical analog of the unsteady energy conservation equation for analysis of the stability of its numerical solution. The space discretized energy conservation equation is the analog of the linear momentum equation, from which no relevant information can be extracted concerning the stability of its numerical solution. The corresponding angular momentum equation can be obtained
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Numerical analysis on supercritical natural convection by lattice Boltzmann method Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-03-24 Jianqi Zhu, Shihua Lu, Dongyan Gao, Weiwei Chen, Xinjun Li
One of the main factors affecting the heat transfer efficiency of solar collector is that the ordinary fluid in it is in the state of natural convection. Supercritical fluid is expected to improve the heat transfer efficiency of solar collectors due to its dramatic changes in thermal properties, so it is necessary to carry out the research of natural convection of supercritical fluid. Although researchers
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A new interpolation method for Lagrangian statistics in non-isothermal gas-solid flow Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-02-13 Peng-Hui Xiao, Ben-Wen Li, Yi-Ling Li
In this article, a new interpolation method is developed for the Lagrangian statistics in the non-isothermal gas-solid flow. The Lagrangian statistics are inseparable from interpolation, especially the optimal interpolation. The new interpolation method in this article is developed based on the smooth Dirac delta function, which is also called delta function interpolation method (DFIM). The performance
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Modeling of double-layer triangular microchannel heat sink based on thermal resistance network and multivariate structural optimization using firefly algorithm Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-02-11 Guojie Liu, Bin Zhang, Yunliang Zhang, Chunsheng Guo
The micro-channel heat dissipation system has minor specifications and good thermal conductivity per unit, which is the best choice for heat dissipation of micro-chips. By optimizing the cross section of microchannel, the heat exchange efficiency and temperature uniformity can be effectively improved. In this article, a double-layer triangular microchannel heat sink is proposed, which uniquely combines
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Correction Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-02-04
(2020). Correction. Numerical Heat Transfer, Part B: Fundamentals: Vol. 77, No. 5, pp. 429-429.
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A comprehensive review on numerical approaches to simulate heat transfer of turbulent supercritical CO2 flows Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-02-04 Jianyong Wang, Zhiqiang Guan, Hal Gurgenci, Yubiao Sun, Kamel Hooman
Extensive computational investigations have been performed to obtain more detailed information about the peculiar phenomena of turbulent supercritical carbon dioxide (sCO2) flow as ideal heat transfer fluids in various thermal engineering applications. This paper reviews the simulation techniques used and discusses their advantages, shortcomings and applicability. Not only is a comprehensive inspection
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Solving heat equations under convection boundary conditions by a high-performance space-time boundary shape functions method Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-28 Chein-Shan Liu, Lin Qiu, Ji Lin
To be a numerical method, the time-dependent convection boundary conditions are hard to be fulfilled exactly, which will deteriorate the accuracy of numerical solution. With this in mind, we develop novel algorithms to find the solutions for 1-D and 2-D heat equations, which can exactly satisfy the initial condition and convection boundary conditions. A new idea of space-time boundary shape functions
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Unified formula for the field synergy principle Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-23 Yalin Cui, Yaning Zhang, Wei Wang, Bingxi Li, Bengt Sundén
The field synergy principle has three criteria to qualitatively describe the essence of single-phase convective heat transfer enhancement. However, in practice these criteria are difficult to be applied to convective heat transfer analysis, because there are no corresponding indicators available to quantitatively describe them. Therefore, a unified formula for the field synergy principle was developed
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An optimized compact reconstruction weighted essentially non-oscillatory scheme for Degasperis-Procesi equation Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-23 R. D. An, C. H. Yu, Zhenyu Wu
This article presents a two-step iterative method that uses u – P formulation to study a Degasperis-Procesi (DP) equation, with which the DP equation is decomposed into the nonlinear advection equation and the Helmholtz equation. The first-order derivative terms in the advection equation are approximated by an Optimized Compact Reconstruction Weighted Essentially Non-Oscillatory (OCRWENO) scheme that
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Calculating 3-D multi-domain heat conduction problems by the virtual boundary element-free Galerkin method Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-21 Dong-Sheng Yang, Jing Ling, Hong-Ying Wang, Zong-Hui Huang
A new boundary-type meshfree collection method, namely the virtual boundary element-free Galerkin method (VBEFGM), is demonstrated for three-dimension (3-D) multi-domain steady-state heat conduction problems. The virtual source functions of the virtual nodes are constructed by the radial basis function interpolation. And the virtual and real boundaries are discreted into the virtual and real nodes
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Flow and heat transfer characteristics of droplet obliquely impact on a stationary liquid film Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-21 Feng Wang, Luyuan Gong, Shengqiang Shen, Yali Guo
The flow and heat transfer characteristics of a droplet obliquely impact on a stationary liquid film is numerically studied by using a coupled level set and volume of fluid method (CLSVOF). The effects of impact angle, Weber number, and film thickness are analyzed. As compared with the normal impact, the flow features and surface heat flux distribution for oblique impact are asymmetric and where the
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Effect of radial injection on heat transfer of a Taylor–Couette–Poiseuille flow Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-21 Mahdi Farsi, Sina Karbalaee M., Farshad Kowsary, Pedram Hanafizadeh
The effect of radial flow injection on the heat transfer characteristics of a Taylor–Couette–Poiseuille flow in an annulus is numerically investigated using the SST k-ω turbulence model. The ranges of the axial Reynolds number (ReA) and the rotational Reynolds number (ReΩ) are 6.58×104−1.37×105 and 7.19×104–1.8×105, respectively. For every combination of axial and rotational Reynolds number, flow is
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A general self-adaptive under-relaxation strategy for fast and robust convergence of iterative calculation of incompressible flow Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2020-01-21 Wei You, Zeng-Yao Li, Wen-Quan Tao
The method of successive under-relaxation (SUR) is an effective way for numerically solving a nonlinear system of equations governing the fluid flow and heat transfer, resulting in stable convergence. So far, there is not any doable applied method to determine the best relaxation factor of SUR. In this article, the interrelation among the diffusion term, the convection term and the under-relaxation
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A new numerical technique for interval analysis of convection-diffusion heat transfer problems using LSE and optimization algorithm Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-12-18 Chunjiang Ran, Haitian Yang
This article devotes to the uncertain analysis of steady-state convection-diffusion heat transfer problems with interval input parameters in material properties, thermal source and boundary conditions. The optimization strategy is adopted to ensure a reliable bounds estimation when scales of interval width is larger, and a Galerkin system is derived to construct a Legendre Series Expansion (LSE) to
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Effect of the presence of a shoulder on the thermal and dynamic structure of a laminar flow in an air-plane solar collector Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-12-18 Hamidou Benzenine, Said Abboudi, Rachid Saim
A numerical study of the forced convection of a two-dimensional laminar air flow through a rectangular pipe with a shoulder is presented. The profiles and contours of velocity and temperature were analyzed in detail. The effects of the location of this shoulder on the insulation and on the absorber, and its height on the variations of the temperature and the velocity at the exit of the collector were
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Space–time polynomial particular solutions method for solving time-dependent problems Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-12-11 Yanhua Cao, C. S. Chen, Hui Zheng
A new space–time method, utilizing polynomials as the basis function, has been developed for solving time-dependent problems. Our proposed method does not have stability issues, nor does it require any parameters as were needed in the space–time radial basis function method, such as, the shape parameter, or those for the nodes distribution. In this article, various linear and nonlinear numerical examples
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Thermo-distortion characteristics of spiral groove gas face seal at high temperature Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-12-11 Jing Xie, Chunhong Ma, Shaoxian Bai
Thermal distortion characteristics of spiral groove gas face seals are investigated for cases of high temperature. The influence of ambient temperature and temperature difference on the thermal distortion and the sealing performance is analyzed with consideration of gas thermoviscosity effect. It is found that, the thermal distortion makes the opening force decrease slightly with the increasing ambient
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Scheduled relaxation Jacobi method as preconditioner of Krylov subspace techniques for large-scale Poisson problems Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-12-03 Ankita Maity, Krishna Mohan Singh
This article presents an assessment of the scheduled relaxation Jacobi (SRJ) method for the solution of large-scale Poisson problems arising in the numerical simulation of large eddy turbulent flow in large complex geometry. The SRJ schemes are used both as standalone solvers and as preconditioners to Krylov subspace solvers. The Navier-Stokes equation is solved using structured Cartesian grids (both
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A proper orthogonal decomposition analysis method for transient nonlinear heat conduction problems. Part 1: Basic algorithm Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-11-26 Qiang-Hua Zhu, Yu Liang, Xiao-Wei Gao
The present work conducts a systematic and in-depth algorithm investigation for transient nonlinear heat conduction problems solved by using the proper orthogonal decomposition (POD) method. Part 1 of this two-part articles presents the process and characteristics of basic algorithms, including POD explicit and implicit time-marching methods. The accuracy and efficiency are verified by several numerical
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A proper orthogonal decomposition analysis method for transient nonlinear heat conduction problems. Part 2: Advanced algorithm Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-11-26 Qiang-Hua Zhu, Yu Liang, Xiao-Wei Gao
The present work conducts a systematic and in-depth algorithm investigation for transient nonlinear heat conduction problems solved by using the proper orthogonal decomposition (POD) method. The computational results as presented in Part 1 have revealed some signatures of the basic algorithms, in which poor efficiency is its main shortcoming. In this article, as Part 2, several advanced algorithms
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A hybrid strategy for solving radiation-conduction in irregular geometries filled with gray semitransparent medium using Monte Carlo method combined with blocked-off and embedded boundary treatments Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-11-19 Zhen-Huan Li, Xiao-Lei Li, Xin-Lin Xia, Chuang Sun
Monte Carlo method (MCM) and finite volume method (FVM) are integrated to deal with combined conduction-radiation heat transfer problems in irregular geometries containing gray semitransparent media. The MCM is employed to get radiative heat source using blocked-off and embedded boundary treatments via Cartesian system. The FVM is adopted to solve the energy equation via unstructured grid system. The
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Generalized decomposition method: Applications to nonlinear oscillator and MHD fluid flow past cone/wedge geometries Numer. Heat Transf. Part B Fundam. (IF 1.6) Pub Date : 2019-11-14 Yasir Nawaz, Muhammad Shoaib Arif
In this article, Adomian decomposition method has been modified and two of the recursive relations for nonlinear oscillator and the nonlinear ordinary differential equation that arise from the boundary layer flow problem has been applied. The MHD, electrically conducted, steady, incompressible, and boundary layer flow past a cone and a wedge problem is modeled and reduced into boundary value problem
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