Abstract
This paper examines unsteady magnetohydrodynamic (MHD) convective fluid flow described by the Oldroyd-B model using ramped wall temperature and velocity simultaneously. The fluid flow is closed to an infinite vertical flat plate immersed through a porous medium. Laplace transformation is used to find solutions of momentum and energy equations. Afterwards, the Nusselt number and skin friction coefficient are obtained. A parametric study is performed to investigate the effects of ramped velocity and temperature (at wall) on the considered fluid flow model.
Highlights
Non-Newtonian fluids gained a wide deal of attention due to their practical utility in modern technologies
We investigated the MHD convective fluid flow of the Oldroyd-B model subject to ramped velocity and ramped temperature, through a porous medium
The solid line is used for Oldroyd-B model considering ramped temperature profiles and velocity conditions, while the dashed lines are used for Oldroyd-B model with constant temperature and ramped velocity conditions
Summary
Non-Newtonian fluids gained a wide deal of attention due to their practical utility in modern technologies. We investigated the MHD convective fluid flow of the Oldroyd-B model subject to ramped velocity and ramped temperature (at wall), through a porous medium. The simultaneous use of ramped wall temperature and velocity conditions are physically important, but mathematically difficult to handle. An efficient and effective way to estimate the increase in temperature due to adiabatic conditions can be controlled with the help of ramped heating. Chandran et al [20] used the ramped wall temperature condition with convective viscous fluid flow. The focus of the present work is to use the velocity and temperature conditions on ramped wall simultaneously for the convective flow of Oldroyd-B fluid model. Laplace transformation is implemented to solve the Oldroyd-B fluid model subject to ramped velocity and temperature at wall.
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