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.