Abstract

In this article, transient response of triangular longitudinal fin with internal heat generation under step change in (i) base temperature and (ii) base heat flux assuming is reported. The convection coefficient is assumed to be power law function of temperature, accounting for different practical application. Moreover, thermal conductivity and heat generation coefficient are assumed as linear and power law functions of temperature. The nonlinear differential equation of triangular fins is solved using Lattice Boltzmann method (LBM) with the aid of in-house MATLAB code. Till date, transient response of triangular fins with linear temperature dependence are only reported, under the step change in base temperature. Further, internal heat generation under the step change in base heat flux with power law temperature dependent properties for fins have been rarely reported. The results are first validated with available benchmarks and subsequently results for different thermal and geometry parameter are reported in graphical form.

摘要

在本文中，报告了在 (i) 基础温度和 (ii) 基础热通量假设的阶跃变化下具有内部发热的三角形纵向翅片的瞬态响应。假设对流系数是温度的幂律函数，考虑到不同的实际应用。此外，导热系数和发热系数被假定为温度的线性函数和幂律函数。三角鳍的非线性微分方程是在内部 MATLAB 代码的帮助下使用格子玻尔兹曼方法 (LBM) 求解的。迄今为止，仅报道了在基础温度阶跃变化下具有线性温度依赖性的三角翅片的瞬态响应。更远，翅片在具有幂律温度相关特性的基础热通量阶跃变化下的内部生热很少被报道。结果首先使用可用的基准进行验证，然后以图形形式报告不同热和几何参数的结果。