Numerical analysis of heat and mass transfer with viscous dissipation, Joule dissipation, and activation energy

Abstract

An investigation of the flow and heat transfer in the boundary layer is provided here to characterise the behaviour of a porous exponentially stretched sheet. At the boundary, Joule dissipation and Activation energy is taken into account rather than no-slip conditions being present. In the equation for temperature, there is a factor that accounts for thermal radiation. The momentum and temperature partial differential equations are transformed into highly nonlinear ordinary differential equations via similarity transformations. The Runge–Kutta-Fehlberg method is used with the shooting system to get the numerical solutions to these equations. Transformation cooling, nuclear power plant refrigeration, appliance cooling, heat transfer fluid, and bioengineering are a few examples of technical applications. A comparison is made with prior studies, and good agreement is found. It is discovered that raising the activation energy $\left(E\right)$, leads to a rise in concentration. Increases $Nt,{\sigma }_1$, and $\sigma$ factors lead to a higher concentration, whereas rises in the $Nb,Le$, and $E$ factors lead to a lower concentration. The value of the skin friction quantity rises in response to falls in activation energy. The value of Nusselt drops when variable E is increased. The Sherwood number enhances when the value of activation energy increases.

KEYWORDS:

• Viscous dissipation
• activation energy
• RKF
• Joule dissipation
• shooting method

Disclosure statement

No potential conflict of interest was reported by the author(s).