Abstract
This article provides a comprehensive analysis regarding effects of ramped wall temperature and ramped wall velocity on incompressible time-dependent magnetohydrodynamic flow of Maxwell fluid. The flow is due to free convection and bounded to an infinite vertical plate embedded in porous medium. Solutions of mass, shear stress, and energy fields are computed symmetrically by introducing some suitable non-dimensional parameters along with the Laplace transformation technique. The expression for the Nusselt number is also calculated. A comparison between solutions incorporating isothermal temperature and ramped wall temperature conditions is also executed to examine the profile differences. A graphical study is performed to highlight the influence of parameters on mass flow and energy transfer.
Highlights
Non-Newtonian fluids such as paints, toothpastes, plastics, and foodstuffs are attractive to researchers because of their significant practical utility in modern and emerging technologies
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
These graphs of mass, shear stress, and energy profiles for the Maxwell material are comprised of two types of solution: (1) Solution with ramped wall temperature conditions indicated by solid lines
Summary
Non-Newtonian fluids such as paints, toothpastes, plastics, and foodstuffs are attractive to researchers because of their significant practical utility in modern and emerging technologies. Seth et al gave primary focus to instinctive and moving vertical plates to explore the effects of ramped temperature (at the wall) on mass and energy profiles, encountering physical phenomena like chemical reaction, Hall current, thermal diffusion, heat absorption, and immersion of the plate in porous medium [28,29,30,31]. 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. 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. The rate of heat transfer (Nusselt number) is taken into account
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