Unsteady Magnetohydrodynamic Convective Fluid Flow of Oldroyd-B Model Considering Ramped Wall Temperature and Ramped Wall Velocity

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.

Impacts of Thermal Radiation and Heat Consumption/Generation on Unsteady MHD Convection Flow of an Oldroyd-B Fluid with Ramped Velocity and Temperature in a Generalized Darcy Medium

“…Figure 10 depicts that enlargement in time τ raises the velocity profiles of both ramped and isothermal wall. Figure 11 shows a good agreement between the present work and the result of Mazhar et al [27] when radiation and heat consumption/generation are removed from the thermal system. The function of Pr on temperature profiles is given in Figure 12.…”

“…First of all, a velocity profile comparison of the present work and the solution of the corrected model of Reference [27] is graphed in Figure 2, and a good agreement is observed in both solutions in the absence of heat consumption/generation and radiation effects. Figure 3 indicates that an increase in Gr values provides enhancement in the momentum boundary layer.…”

“…The model also involves the porous medium, heat consumption/generation, and thermal radiation. During the modeling of flow, deficiency of Reference [27] modeling is removed and the correct equation of velocity is obtained. Laplace transformation is used as a solution finding tool.…”

“…However, in the work of Mazhar et al [27], the term 1 + λ ∂ ∂t is missing with the coefficient of thermal expansion pointing out the deficiency of their model. The geometrical presentation of considered model is provided in Figure 1.…”

Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

“…Maqbool et al [36] examined the effect of simultaneous ramped wall conditions on freely convective flow of a Jeffery fluid in the presence of a porous medium. Further, Mazhar et al studied the influence of simultaneous ramped conditions on Oldroyd-B fluid [37]. Keeping the aforementioned observations in view, the principal concern of this work is the simultaneous application of ramped temperature and velocity on the natural convective flow of an unsteady, incompressible Maxwell fluid for an infinite vertical plate embedded in porous medium under the effect of magnetohydrdynamic (MHD) force.…”