Role of diffusion thermo on unsteady natural convection of a chemically reactive fluid impacted by heat source/sink in a tube

Abstract

The impact of diffusion thermo on transient natural convection flow of a chemically reactive fluid with heat source/sink in a tube is investigated. The Laplace transform technique enables the governing equations to be solved analytically with the solutions inverted by the Riemann-sum approximation method. Constant values of Prandtl number and Schmidt number of 0.71 and 0.75 are used for the study. A time variable ranging from 0.2 to a steady-state, chemical reaction, and heat source/sink parameters ranging from −0.6–0.6, and the Dufour number ranging from 0–0.8 are used for the study. This study reveals that the Dufour number elevates the Nusselt number and the skin friction. Furthermore, it posits that when the Dufour number is small, the temperature heightens with time, and then switches over to decreasing with time when the Dufour number is large. The present model finds application in the pharmaceutical, petroleum, and paint-making industries, etc.

Keywords

• Chemical reaction
• mass diffusion
• Dufour number
• Riemann sum
• heat source/sink