Abstract
The motivation of the current study demonstrates an experimental and theoretical issue discussed for time-dependent on Cross nanofluid in the presence of radiation and heat-source sink. Furthermore, the relation of nanomaterials with revised Buongiorno's is applied for mathematical modeling of Falkner Skan flow of unsteady Cross fluid. The PDE's of time dependent governing equations of velocity, temperature and concentration are converted into highly non-linear ODE's. The profile of these ODE's are solved to obtain a numerical solution by using a Matlab technique Bvp4c. Physically, the effects of various relevant parameters are investigated diagrammatically. Numerical results resume that fluid temperature increasing with higher convection parameter. Furthermore, the rate of heat transfer is faster with growth in thermophoresis and Brownian motion parameter. Also, this paper looks on the effect of a physical parameter of local Skin fraction, Nusselt and Sherwood numbers are discussed, and correlation is totally furnished in obtained results with earlier published works.