Influence of melting heat transfer and chemical reaction on the flow of non-Newtonian nanofluid with Brownian motion: Advancement in mechanical engineering

The aim of the present study is to investigate the melting heat and mass transport characteristics on the stagnation point flow of Powell–Eyring nanofluid over a stretchable surface because melting is so important in many processes, such as Permafrost melting, magma solidification, and thawing of frozen grounds, are all examples of soil melting and freezing around the heat exchanger coils of a ground-based pump. The developing mathematical model under the boundary layer flow in terms of differential equations is solved through a numerical algorithm using a boundary value problem solver bvp4c/shooting technique with the help of MATLAB software. The impact of emerging parameters on the velocity profile, temperature profile, and concentration profile is elaborated graphically. The profile and boundary-layer width rate for the value stretching parameter less than one rises when A enhances while the thickness of boundary layer velocity profile for the value stretching parameter greater than one decreases as A. The velocity function shows a decrement response for M, while the opposite behavior is seen against the concentration field. Furthermore, the numeric data for the friction factor and Nusselt number are demonstrated in tabular form, and the result shows a remarkable agreement with the previously published data.