Double diffusive MHD convective flows of a viscous fluid under influence of the inclined magnetic field, source/sink and chemical reaction

Abstract

Unsteady magneto-hydrodynamic double-diffusive convection flows between two infinite vertical parallel plates have been investigated in the presence of the inclined magnetic field, heat generation or absorption, and chemical reaction. The dimensionless form of governing equations for momentum, energy and concentration has been solved using the integral transforms (Laplace and finite sine-Fourier transforms). The exact solutions for the velocity, temperature and concentration are obtained without any constraints. Semi analytical solutions of these problems are also established by using the Laplace inversion numerical algorithms Stehfest’s and Tzou’s. Further, we compare our obtained analytical and numerical results in graphical and tabular forms. Finally, the influence of pertinent parameters on the fluid velocity, temperature and concentration have been disused in detailed through graphs.

Keywords

• Free convection
• Inclined magnetic field
• Laplace and finite sine-Fourier transforms
• Dufour effect
• Chemical reaction