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One Dimensional Heat Transfer through a Uniform Plane Wall by Using Finite Volume Method


Saiful Islam1*, Md. Sirajul Islam2, and Sajib Mandal3


1Department of Computer Science and Engineering, Stamford University Bangladesh, Dhaka, Bangladesh; and 2&3Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh. 

*Correspondence: saiful.islam@stamforduniversity.edu.bd

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ABSTRACT

In this paper, the finite volume method has been used to investigate one-dimensional conductive heat transfer throw a uniform plane wall. Then the step by step procedures of this numerical solution is described and implemented in a real-world problem where tri-diagonal matrix algorithm and Gaussian elimination matrix method are applied to solve the system of our discretized algebraic system of equations. Finally, to check the accuracy of our method, a comparison between the numerical solution obtained by finite volume techniques and the exact solution is presented which shows a minimum error compared to other existing methods. 


Keywords: Computational fluid dynamics, Finite volume method, and Tri-diagonal matrix algorithm.


Citation: Islam S, Islam MS, and Mandal S. (2020). One dimensional heat transfer through a uniform plane wall by using finite volume method, Aust. J. Eng. Innov. Technol., 2(2), 24-30. https://doi.org/10.34104/ajeit.020.024030


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