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Biswas, P. and Andallah, L.S. (2018) Higher Order Efficient Numerical Method for One Dimensional Heat Transfer Problem in Viscous Incompressible Fluid Flow. M.S. Thesis Work, Department of Mathematics, Jahanginagar University.

has been cited by the following article:

• TITLE: Estimation of Thermal Pollution Using Numerical Simulation of Energy Equation Coupled with Viscous Burgers’ Equation

  AUTHORS: Prokriti Biswas, Laek Sazzad Andallah, Khandaker Md. Eusha-Bin-Hafiz

  KEYWORDS: Viscous Burgers’ Equation, Energy Equation, Heat Transfer, Lax-Wendroff Type Scheme, Thermal Pollution

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.12 No.3, August 12, 2022

  ABSTRACT: In this paper, we implement energy equation coupled with viscous Burgers’ equation as a mathematical model for the estimation of thermal pollution of river water. The model is a nonlinear system of partial differential equations (PDEs) that read as an initial and boundary value problem (IBVP). For the numerical solution of the IBVP, we investigate an explicit second-order Lax- Wendroff type scheme for nonlinear parabolic PDEs. We present the numerical solutions graphically as a temperature profile, which shows good qualitative agreement with natural phenomena of heat transfer. We estimate the thermal pollution of water caused by industrialization on the bank of a river.