Capturing the Transient Features of Double Diffusive Thin Film Flow of a Second Grade Fluid Through a Porous Medium

Abstract

The transient features of double-diffusive natural convection thin film flow of a second grade fluid past an inclined plate embedded in a porous medium has been captured. Laplace transform technique combined with INVLAP subroutine of MATLAB is employed to solve the governing equations. The numerical values of all fluid flow characteristics are demonstrated graphically for different values of pertinent flow parameters. Furthermore, the time bound effects of the flow parameters influencing unsteady heat and mass transfer thin film flow of a fluid of second grade are revealed and supported with physical interpretations. We have found that the influence of thermal and solutal buoyancy forces grow with respect to time while the effects of thermal and solutal diffusion diminish with time. Also, the effect of second grade parameter becomes more pronounced with the passage of time. Researchers are welcome to validate the novel results presented in this paper through experiments which may find use in the upgraded design of mechanical systems involving second grade thin film flow in a way that supports better heat and mass transfer.