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

The present investigation explores the characteristics of Maxwell nanofluid over a stretched sheet possessing variable sheet thickness. The model utilized for nanofluid contains the combined impacts of thermophoresis and Brownian motion. Effects of melting heat transfer and magnetohydrodynamics are included in the analysis as well. For the formulation procedure, we have adopted the concept of usual boundary layer approximation. Convergent homotopic solutions are presented for the developed nonlinear systems. Impact of different pertinent variables on the non-dimensional equations of velocity, temperature, concentration, local Sherwood and local Nusselt numbers is analyzed and discussed in detail. It is revealed that larger Deborah and Hartman numbers retard the flow. The melting and nonlinear parameters have reverse effects for velocity and temperature. Moreover, it observed that temperature and concentration distributions augment for higher values of Brownian motion parameter; however, temperature and concentration distributions have opposite behavior for thermophoretic parameter. Besides this, in limiting sense the accuracy of outcoming results is also affirmed by comparing them with the results already available in the literature.