Stagnation point flow of nanomaterial towards nonlinear stretching surface with melting heat

Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation

Objective A recent evolution in fluid dynamics has been the consideration of nanoliquids which retains exceptional thermal conductivity characteristics and upsurge heat transportation in fluids. Inspired by this, the current attempt develops a nonlinear mathematical model (Williamson fluid) towards moving surface heated convectively. Formulated problem further encompasses thermophoresis, magnetic dipole, heat source, Brownian diffusion, thermal radiation and thermo-solutal convective conditions. Upshots are simulated and unveiled graphically. Drag force along with heat/mass transportation rates is addressed numerically. Method The dimensionless expressions are highly non-linear and exact/analytic computations for such expressions are not possible. Thus we employed numeric (bvp4c) scheme for solution development. Conclusions Temperature of Williamson nanofluid intesifies through larger N_b (Brownian movement) factor and N_t (thermophoretic variable). Moreover, Buongiorno relation has reverse behavior for concentration ϕ(η) of Williamson nanofluid regarding N_t and N_t. Transportation rate of heat dwindles against both N_t and N_b.