Capturing the transient features of double diffusive thin film flow of a second grade fluid through a porous medium (Q2657497)

The aim of this paper is to study 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. 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 in thin film flow of a fluid of second grade are revealed and supported with physical interpretations. The authors have found that the influence of thermal and solutal buoyancy forces grows 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. In order to check the validity, the authors have compared the current solution with the existing solution of \textit{M. Ali} and \textit{M. Awais} [``Laplace transform method for unsteady thin film flow of a second grade fluid through a porous medium'', J. Mod. Phys. 5, No. 3, 103--106 (2014; \url{doi:10.4236/jmp.2014.53017})]. It has been found that the results are in good agreement as shown in Fig. 2. This gives me the strong confidence that the results of this paper are correct.