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

Anwar, Talha; Watthayu, Wiboonsak; Asifa,

doi:10.3390/sym12030392

Cited by 19 publications

(10 citation statements)

References 38 publications

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“…The MHD flow and heat transferal for a UCM fluid past a stretched plate with varying thermophysical characteristics were presented by Prasad et al [4]. Anwar et al [5] recorded the impact of the ramped wall temperature and ramped wall velocity for an unsteady MHD convective Maxwell fluid flow. The recent inquiries demonstrating the flows of Maxwell fluid can be found in [6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

The Effectiveness of Mass Transfer in the MHD Upper-Convected Maxwell Fluid Flow on a Stretched Porous Sheet near Stagnation Point: A Numerical Investigation

Shahid

2020

Inventions

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The present inquiry studies the influence of mass transfer in magnetohydrodynamics (MHD) upper-convected Maxwell (UCM) fluid flow on a stretchable, porous subsurface. The governing partial differential equations for the flow problem are reformed to ordinary differential equations through similarity transformations. The numerical outcomes for the arising non-linear boundary value problem are determined by implementing the successive linearization method (SLM) via Matlab software. The accuracy of the SLM is confirmed through known methods, and convergence analysis is also presented. The graphical behavior for all the parametric quantities in the governing equations across the velocity and concentration magnitudes, as well as the skin friction and Sherwood number, is presented and debated in detail. A comparability inquiry of the novel proposed technique, along with the preceding explored literature, is also provided. It is expected that the current achieved results will furnish fruitful knowledge in industrious utilities and correlate with the prevailing literature.

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Section: Introductionmentioning

confidence: 99%

The Effectiveness of Mass Transfer in the MHD Upper-Convected Maxwell Fluid Flow on a Stretched Porous Sheet near Stagnation Point: A Numerical Investigation

Shahid

2020

Inventions

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“…At

t = 0^{+}

, plate moves with single slip assumption at wall in x ‐direction. Under these presumption, the governing equation for magnetized viscoelastic fluid with appropriate conditions are given below 46,47 :

\begin{matrix} right (1 + \overset{˘}{λ} \frac{\partial}{\partial \overset{˘}{t}}) \frac{\partial \overset{˘}{w} (\overset{˘}{ζ}, \overset{˘}{t})}{\partial \overset{˘}{t}} & left = υ \frac{\partial^{2} \overset{˘}{w} (\overset{˘}{ζ}, \overset{˘}{t})}{\partial {\overset{˘}{ζ}}^{2}} + g β (1 + \overset{˘}{λ} \frac{\partial}{\partial \overset{˘}{t}}) (\overset{˘}{T} (\overset{˘}{ζ}, \overset{˘}{t}) - {\overset{˘}{T}}_{\infty}) - \frac{μ ϕ}{ρ k^{*}} (1 + \overset{˘}{λ} \frac{\partial}{\partial \overset{˘}{t}}) \overset{˘}{w} (\overset{˘}{ζ}, \overset{˘}{t}) & right \\ right & left - \frac{σ B_{0}^{2}}{ρ} (1 + \overset{˘}{λ} \frac{\partial}{\partial \overset{˘}{t}}) \overset{˘}{w} (\overset{˘}{ζ}, \overset{˘}{t}), \end{matrix}

…”

Section: Development Of Governing Equations Based On Problem Statementmentioning

confidence: 99%

Role of single slip assumption on the viscoelastic liquid subject to non‐integer differentiable operators

Saeed

Abro

Almani

2021

Math Methods in App Sciences

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The main focus of this study is to investigate the impact of heat generation/absorption with single slip assumptions based on Newtonian heating on magnetohydrodynamic (MHD) time‐dependent Maxwell fluid over an unbounded plate embedded in a permeable medium. The mathematical modeling based on fractional treatment of governing equation subject to the temperature distribution, shearing stress, and velocity field is developed. The fractionalized analytical solutions have been traced out separately through Atangana‐Baleanu (AB) and Caputo‐Fabrizio (CF) fractional differential operators. These differential operators with and without non‐locality have been employed on the developed governing partial differential equations. The mathematical analysis of developed fractionalized governing partial differential equations has been established by means of systematic and powerful techniques of Laplace transform with its inversion. For the sake of physical investigation of the considered problem, the effective Prandtl number and fractional parameter have been invoked on temperature with and without single slip assumption. Our results suggest that the velocity profile decrease by increasing the effective Prandtl number. The existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity. Additionally, the magnetic field and relaxation phenomenon have been analyzed on the profile of velocity with and without single slip assumption.

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“…Nandi and Kumbhakar, 21 studied the influence of hall current on free convective flow by applying solutal and thermal ramped conditions. Anwar et al, 22 Krishna, 23 Tiwana et al 24 are some of the authors whose contributions in the field of MHD thermal and solutal free convective flow using ramped conditions are really admirable.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD free convective flow past a moving vertical plate in a porous medium with radiation and chemical reaction including arbitrary thermal and solutal ramped condition

Ahmed

Saikia

2022

Heat Trans

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The motive behind this investigation is to examine the unsteady magnetohydrodynamics free convective fluid flow with heat and mass transfer of a viscous, incompressible flow past a moving upright plate in a porous medium with radiation, chemical reaction, arbitrary thermal, and solutal ramped condition. An analytical solution for momentum, energy, and concentration equations is accomplished by implementing the Laplace transformation technique. The influence of different nondimensional parameters on fluid velocity, temperature, and concentration along with skin friction and rate of heat transfer as well as mass transfer at the plate are exhibited graphically. It can be spotted that both the concentration and temperature field decrease for rising values of the ramped parameter, radiation parameter, chemical reaction parameter, and Schmidt number. Moreover, it is detected that the fluid velocity drops in the case of the isothermal plate, and velocity upsurges for the ramped plate temperature. Investigation simulates that the rate of heat transfer, as well as rate of mass transfer, is escalated on hiking radiation parameter.

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

Cited by 19 publications

References 38 publications

The Effectiveness of Mass Transfer in the MHD Upper-Convected Maxwell Fluid Flow on a Stretched Porous Sheet near Stagnation Point: A Numerical Investigation

The Effectiveness of Mass Transfer in the MHD Upper-Convected Maxwell Fluid Flow on a Stretched Porous Sheet near Stagnation Point: A Numerical Investigation

Role of single slip assumption on the viscoelastic liquid subject to non‐integer differentiable operators

Unsteady MHD free convective flow past a moving vertical plate in a porous medium with radiation and chemical reaction including arbitrary thermal and solutal ramped condition

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