Abstract
The double diffusion heat transfer phenomenon for the unsteady viscous fluid has been focused subject to the non-Fourier relations. The thermal radiation impact along the inclined direction has also been utilized. The non-Fourier analysis for the heating phenomenon is performed using the Cattaneo-Christov and Fick's mathematical models. The transformed systems due to similarity variables are analytically predicted via HAM scheme and also with the assistance of BVP4C solver. The convergence of the method to justify a solution is also observed. Also, the effect of involved physical parameters on the given model is explained through graphs and tables. The observations are compared with the available literature with a fine agreement. The numerical representation and quantitative analysis for drag force, heat transfer and mass transfer rates are worked out.