Nonlinear and Transient Heat Transfer in the Fin by a Truly Meshless Method

Rajul Garg; Harishchandra  and Thakur Brajesh Tripathi

doi:10.17485/ijst/2017/v10i31/113859

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Nonlinear and Transient Heat Transfer in the Fin by a Truly Meshless Method

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2017/v10i31/113859

Year: 2017, Volume: 10, Issue: 31, Pages: 1-7

Original Article

Nonlinear and Transient Heat Transfer in the Fin by a Truly Meshless Method

Rajul Garg¹ , Harishchandra¹ and Thakur Brajesh Tripathi²

¹SOE, Gautam Buddha University, Greater Noida – 201312, Uttar Pradesh, India; [email protected], [email protected]²Rajasthan Technical University, Kota – 324009, Rajasthan, India; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this article, Meshless Local Petrov- Galerkin (MLPG) method is used to solve the nonlinear and transient one- dimensional heat transfer equation of a fin with the power- law temperature- dependent heat transfer coefficient. Moving least square approximants are used to approximate the unknown function of temperature T(x) with Th (x). These approximants are constructed by using a linear basis, a weight function and a set of non- constant coefficients. Essential boundary conditions are enforced by direct method of interpolation and Penalty Method (PM) respectively. Temperature variation along the fin length over the different time range till the attainment of steady state has been demonstrated for the convective and insulated tip conditions.

Keywords: Convective Tip, Direct Method, Fins, Insulated Tip, Meshless Local Petrov-Galerkin (MLPG) Method, Penalty method, Transient