Interaction of heat generation in nonlinear mixed/forced convective flow of Williamson fluid flow subject to generalized Fourier's and Fick's concept

This research communication deals with the steady, incompressible two-dimensional (2D) nonlinear mixed/forced convective flow of Williamson fluid towards a flat and stretchable surface of sheet. The flow is discussed in semi-infinite domain and generated via linear stretching phenomenon. Nonlinear mixed convection is considered. The most prominent feature of mixed convection is buoyancy force caused by fluctuating temperature and density. The energy and concentration equations are modeled in the presence of generalized Fourier's and Fick's laws. Furthermore, variable thermal conductivity and mass diffusivity are accounted. The governing equations are first altered into ordinary differential equations through implementation of appropriate similarity variables and then series solutions are calculated for the flow field, temperature and concentration via homotopy analysis method. Novel characteristics of non-dimensional variables are discussed subject to graphical representation. It is noticed that the thermal field is more in the presence of Generalized Fourier Law (GFL) as compared to Fourier Law (FL).