This paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity. The boundary layer equations are transformed into ordinary differential equations using suitable non-dimensional transformations. These equations are solved numerically using shooting and Runge-Kutta (RK) methods. The impact of non-dimensional radius of curvature and power-law indices on the velocity field, the pressure and the skin friction coefficient are investigated. The results deduced for linear stretching are compared with the published work to validate the numerical procedure. The important findings are: (a) Slight variation of the curvature of the stretching sheet increases the velocity and the skin friction coefficient significantly. (b) The nonlinearity of the stretching velocity increases the skin friction. (c) The results for linear stretching and the flat surface are the special cases of this problem

This paper deals with the boundary layer flow of electrically conducting dusty fluid over a stretching surface in the presence of applied magnetic field. The governing partial differential equations of the problem are transformed to nonlinear nondimensional coupled ordinary differential equations using suitable similarity transformations. The problem is now fully specified in terms of characterizing parameters known as fluid particle interaction parameter, magnetic field parameter, and mass concentration of dust particles. An exact analytical solution of the resulting boundary value problem is presented that works for all values of the characterizing parameters. The effects of these parameters on the velocity field and the skin friction coefficient are presented graphically and in the tabular form, respectively. We emphasize that an approximate numerical solution of this problem was available in the literature but no analytical solution was presented before this study.

In this study, the flow and heat transfer of Powell–Eyring fluid over a permeable stretching surface is examined. By using Lie group analysis, the symmetries of the equations are found. Four finite parameter and one infinite parameter Lie group of transformations are obtained. Similarity transformations for the problem are derived with help of these symmetries. The governing system of partial differential equations is transformed to a system of ordinary differential equations by using the similarity transformations. These equations are solved numerically using the Keller-box method. A comparison is performed with analytical results as well as previously published work, and an excellent agreement is observed between the results. The effects of governing parameters on the velocity and temperature profiles, the skin friction, and local Nusselt number are analyzed and discussed. It is observed that both the skin friction and local Nusselt number increase due to an increase in suction/injection parameter f_w. The effects of the Prandtl number Pr, temperature power index m, and fluid parameter ε are found to increase the local Nusselt number whereas the effect of the fluid parameter δ is to decrease it. The obtained results elucidate that the skin friction reduces with increase in ε while opposite behavior is noticed for increasing values of δ.