Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2022
  • Volume: 14
  • Issue: 1

Mathematical study on thermal pollution with reference to diffusional transfer of dispersants

  • Author:
  • M. L. Mallikarjuna1, V.K Katiyar2, K.S. Basavarajappa3,*, T.K Krishna Kumar4
  • Total Page Count: 6
  • Page Number: 1 to 6

1Department of Physics, Adichunchanagiri Institute of Technology, Chickmagalore, Karnataka

2Department of Mathematics, Indian Institute of Technology, Roorkee, Uttarakhand

3Department of Mathematics, Bapuji Institute of Engineering and Technology, Davanagere, Karnataka

4Department of Physics, Bapuji Institute of Engineering and Technology, Davanagere, Karnataka

*E-mail: ksbraju@hotmail.com, sairamputtaparthy@gmail.com

Online Published on 16 June, 2022.

Abstract

Mathematical study has been developed to analyze the thermal pollution using continuity equation. The diffusion equation is a partial differential equation consists of thermal dispersants such as tracer concentration C(x, t) and longitudinal mixing coefficient with respect to x, y and z directions at time ‘t’. The diffusion equation represents the dispersants has been solved analytically and the range of dispersion is considered for the range of 10ft to 1000ft. Fully mixed contour defined by equation gives the dispersants surroundings, the area as computed for solving partial differential equation (diffusion equation)

Keywords

Dispersants, Pollution, Thermal