Abstract
The problem of magnetohydrodynamic (MHD) mixed convection flow near a stagnation-point region over a nonlinear stretching sheet with velocity slip and prescribed surface heat flux is investigated; this has not been studied before. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations, and then are solved by employing a homotopy analysis method. The effects of the nonlinearity parameter, the magnetic field, mixed convection, suction/injection, and the boundary slip on the velocity and temperature profile are analyzed and discussed. The results reveal that the increasing exponent of the power-law stretching velocity increases the heat transfer rate at the surface. It is also found that the velocity slip and magnetic field increase the heat transfer rate when the free stream velocity exceeds the stretching velocity, i.e. $\varepsilon< 1$ , and they suppress the heat transfer rate for $\varepsilon> 1$ .
Highlights
The problem of stagnation-point flow and heat transfer on stretching sheet arises in an abundance of practical applications in industry and engineering, such as cooling of electronic devices and nuclear reactors, polymer extrusion, drawing of plastic sheets, etc.; and, in the magnetohydrodynamic (MHD) flow which has both liquid and magnetic properties and can exhibit particular characteristics in thermal conductivity
Ali et al [ ] studied the MHD mixed convection stagnation-point flow and heat transfer of an incompressible viscous fluid over a vertical stretching sheet, and the MHD boundary layer flow over a vertical stretching/shrinking sheet in a nano-fluid was investigated by Makinde et al [ ] and Das et al [ ]
Different from the previous works, the current results focus on the effect of nonlinearly vertical stretching for the MHD stagnation-point flow with mixed convection
Summary
The problem of stagnation-point flow and heat transfer on stretching sheet arises in an abundance of practical applications in industry and engineering, such as cooling of electronic devices and nuclear reactors, polymer extrusion, drawing of plastic sheets, etc.; and, in the magnetohydrodynamic (MHD) flow which has both liquid and magnetic properties and can exhibit particular characteristics in thermal conductivity. There has been increasing interest in studying the problem of MHD with mixed convection boundary layer flow and heat transfer characteristics over a stretching vertical surface [ – ]. In the present paper, motivated by the above studies, the problem of MHD mixed convection stagnation-point flow on the nonlinearly vertical stretching sheet is discussed in the presence of buoyancy force, suction/injection parameters, and boundary slip. 4.2 Results and discussion The influence of key parameters on the coefficient of skin friction, the local Nusselt number, the velocity, and the temperature profiles are shown . Figure shows that an increase in λ corresponds to a decrease in the temperature and the thermal boundary layer thickness. It is observed that the thickness of the velocity boundary layer decreases with increasing values of m, S, δ, and M for both cases, which implies an increasing magnitude of the velocity gradient at the surface. The heat transfer rate at the surface increases with δ or M for ε < , and the opposite behaviors are observed for the effects of δ and M for ε >
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
