Time-dependent flow of thermally developed viscous fluid over an oscillatory stretchable curved surface

The present article describes the flow and heat transfer phenomenon for an unsteady hydromagnetic viscous fluid towards an oscillatory stretching curved surface. Besides, the impacts of thermal radiation are also considered in the energy equation along with convective boundary condition. The flow mechanism is induced by an infinite elastic curved surface that is stretched to and fro in its own plane. The flow equations are formulated in the form of partial differential equations by employing the curvilinear coordinate system and the resulting flow equations are then solved analytically by utilizing the Homotopy analysis method (HAM). A comprehensive examination to study the influence of different parameters like the ratio of oscillating frequency to the surface to its stretching rate, magnetic and radiation parameters and dimensionless radius of curvature on the fluid velocity, skin friction coefficient, rate of heat transfer, pressure and temperature distribution is carried out and discussed in detail through graphs and in tabular form. Also, a comparison between the current studies with the published data in the literature for the flat oscillating surface validates the obtained analytical results for the curved oscillating surface. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.