Numerical Study of MHD Flow and Heat Transfer of Nanofluid along a Nonlinear Curved Stretching Surface

In this paper, a problem of two-dimensional MHD nanofluid flow and heat transfer over a curved surface is discussed. Flow is generated by a curved surface which is stretched nonlinearly. Nanofluid comprises water as base fluid and Copper(Cu) and silver(Ag) as nanoparticles. The system of nonlinear ordinary differential equations is attained from the partial differential equations by employing appropriate similarity transformations. The nonlinear system of equations is solved numerically using the bvp4c tool of the MATLAB software. The impact of relevant parameters like power-law indices, dimensionless radius of curvature, volume fraction and Hartmann number on temperature and velocity profile are studied and presented graphically. With the increase in the value of curvature parameter temperature and velocity profiles decreases. Also, there is an enhancement in the temperature profile when nanoparticle volume fraction is increased. Moreover, with the increment in the value of Hartman number velocity and surface heat transfer rate reduces. To examine the skin-friction coefficients and local Nusselt number, numerical computations are performed. A comparison is done with the published work to validate the numerical results.