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Entropy generation analysis of Falkner–Skan flow of Maxwell nanofluid in porous medium with temperature-dependent viscosity
Pramana ( IF 2.8 ) Pub Date : 2021-04-21 , DOI: 10.1007/s12043-021-02083-3
Ajeet Kumar Verma , Anil Kumar Gautam , Krishnendu Bhattacharyya , Ioan Pop

Entropy generation analysis in steady two-dimensional, viscous, incompressible forced convective Falkner–Skan flow of Maxwell nanofluid over a static wedge embedded in a porous medium with temperature-dependent viscosity is examined. The Buongiorno’s model has been utilised, to get the flow governing higher-order coupled nonlinear partial differential equations (PDEs) from mass, momentum, energy and concentration conservations. Suitable transformations have been done to convert governing PDEs into the coupled non-linear ODEs along with no-slip boundary conditions, which are then solved using the MATLAB programme bvp4c. The influences of diverse flow governing parameters on various flow properties and quantities of physical interest are displayed in graphical mode and discussed. It is found that entropy generation reduces only with Eckert number (Ec), while more entropy is generated for pressure gradient parameter (m), local Deborah number (\(\beta )\), variable viscosity parameter (\(\delta \)) and permeability parameter (K). Entropy generation due to heat transfer irreversibility is prominent with increase in m and \(\delta \), but it is not so for other parameters. The drag force on the wedge surface become stronger with \(\beta \) and m, but it reduces with \(\delta \). Rates of heat transfer and mass transfer enhance with m and \(\delta \). In addition, surface drag force and heat transfer rate diminish with Brownian motion parameter (Nb) and thermophoresis parameter (Nt).



中文翻译:

随温度变化的黏性多孔介质中麦克斯韦纳米流体的Falkner-Skan流动的熵产生分析

在稳定的二维,粘性,不可压缩的强制对流Falkner-Skan麦克斯韦纳米流体在嵌入温度依赖粘度的多孔介质中的静态楔形体上的麦克斯韦纳米流体的熵产生分析中,进行了分析。已使用Buongiorno模型,从质量,动量,能量和浓度守恒中获得控制高阶耦合非线性偏微分方程(PDE)的流量。已经进行了适当的转换,以将控制PDE转换为耦合的非线性ODE以及无滑移边界条件,然后使用MATLAB程序bvp4c对其进行求解。以图形方式显示并讨论了各种流量控制参数对各种流量特性和物理关注量的影响。发现熵的产生仅随着Eckert数(Ec),虽然压力梯度参数(m),局部Deborah数(\(\ beta)\),可变粘度参数(\(\ delta \))和渗透率参数(K)产生了更多的熵。随着m\(\ delta \)的增加,由于传热不可逆而产生的熵很突出,但对于其他参数却不是。楔形表面上的阻力随着\(\ beta \)m的增大而增强,但随着\(\ delta \)的减小而减小。传热和传质的速率随着m\(\ delta \)的增加而提高。另外,表面阻力和传热速率随着布朗运动参数(Nb)和热泳参数(Nt)而减小。

更新日期:2021-04-21
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