Author(s)

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

Department of Mathematics, Jahangirnagar University, Dhaka, Bangladesh.

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.

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

Biswas, P. , Andallah, L. and Eusha-Bin-Hafiz, K. (2022) Estimation of Thermal Pollution Using Numerical Simulation of Energy Equation Coupled with Viscous Burgers’ Equation. American Journal of Computational Mathematics, 12, 306-313. doi: 10.4236/ajcm.2022.123020.