Study of Heat and Mass Transfer of Transient Free Convection Through Vertical Annuli in Presence of Heat Source, Chemical Reaction, and Newtonian Heating

Newtonian heating with a heat source has applications in a variety of areas, including heat exchangers, electronic devices, nuclear reactors, gas cooling systems, ventilated rooms, and industrial processes. In the present numerical investigation, we examine the effect of Newtonian heating with an internal heat source and temperature-dependent chemical reaction on transient free convective laminar flow within a vertical annulus. The Method of Lines is employed to solve the governing partial differential equations with the appropriate boundary conditions. The numerical findings were extensively analyzed through plots and tables to demonstrate the impact of various fluid features on the concentration, temperature, and velocity profiles. It is observed that these profiles increase over time until they stabilize at a steady state. Additionally, the Schmidt and Damköhler numbers are found to reduce the concentration and velocity profiles, whereas the Richardson, Biot, and mass Grashof numbers have the opposite effect. A major investigation revealed that the Newtonian heating with heat source increases the external mass transport and gives a better control parameter.