Numerical investigation of transient responses of triangular fins having linear and power law property variation under step changes in base temperature and base heat flux using lattice Boltzmann method

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.