Double-Diffusive Convection in a Composite System with a Heat Source and Temperature Gradients
Narayanappa Manjunatha, Ramakrishna Sumithra, R. K. Vanishree · 2023
In this chapter, the composite layer system bounded by adiabatic boundaries for the Darcy model, the problem of double-diffusive Marangoni convection, is explored. Three temperature gradients are applied to this composite layer, with constant heat sources and Marangoni effects in both layers. The thermal Marangoni number, which happens to be the Eigen value, is solved in closed form for the Eigen value problem of a system of ordinary differential equations. The thermal Marangoni numbers for linear, parabolic, and inverted parabolic profiles are derived using an exact technique. It has been discovered that an inverted parabolic temperature profile can be used to enhance convection, a parabolic profile for mild convection, and a linear profile to postpone Bènard double-diffusive convection. In the porous layer dominant composite system, the thermal Marangoni number also increases rapidly.