Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium

Endalew, Mehari Fentahun; Sarkar, Santu

doi:10.1002/htj.22153

Cited by 11 publications

(8 citation statements)

References 34 publications

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“…The species which is affected and emitted by simple reaction containing concentration diffuses into the fluid. The movement of the fluid in a parabolic and unsteady mode based on the general Boussinesq's estimates and limit level approximations is governed by the following equations 5,22,36,42…”

Section: Formulation Of the Problemmentioning

confidence: 99%

\frac{\partial \hat{u}}{\partial \hat{t}}=\nu \frac{{\partial }^{2}\hat{u}}{\partial \hat{y}}+g\beta (\hat{T}-{\hat{T}}_{\infty })\sin \,\alpha -\frac{\sigma {B}_{0}^{2}\hat{u}}{\rho }+g\hat{\beta }(\hat{C}-{\hat{C}}_{\infty })\sin \,\alpha -\frac{\nu }{{\hat{k}}_{p}}\hat{u}

\frac{\partial \overset{T}{true}}{\partial \overset{t}{true}} = \frac{1}{ρ C_{p}} (][, false \begin{array}{r} k_{T} true \frac{\partial^{2} \hat{T}}{\partial {\overset{y}{true}}^{2}} - true \frac{\partial \hat{q}}{\partial \hat{y}} + \overset{Q}{true} (\hat{T} - {\overset{T}{true}}_{\infty}) + (true \frac{D_{m} k_{T} ρ}{C_{s}}) true \frac{\partial^{2} \hat{C}}{\partial {\overset{y}{true}}^{2}} \\ + μ {(\frac{\partial \overset{u}{true}}{\partial \overset{y}{true}})}^{2} + Q_{l} (\hat{C} - \overset{C}{true} \end{array})

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Several writers investigated the impact of MHD parabolic flow across an inclined plate with various physical parameters. [2][3][4][5] Some of them considered Newtonian fluids and some others analyzed non-Newtonian fluids under different geometries. Hamid et al 6 discussed timedependent Prandtl fluid slip flow under natural convection.…”

Section: Introductionmentioning

confidence: 99%

“…Andac et al 1 modeled Darcy–Forchheimer bio‐convective Powell Eyring nanofluid with artificial neural network. Several writers investigated the impact of MHD parabolic flow across an inclined plate with various physical parameters 2–5 . Some of them considered Newtonian fluids and some others analyzed non‐Newtonian fluids under different geometries.…”

Section: Introductionmentioning

confidence: 99%

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MHD flow pattern in a parabolic mode based on the angle of inclination under cross‐diffusion

et al. 2022

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A considerable effort has been made to draw out the flow properties of the magnetohydrodynamic fluid in parabolic movement with several parameters under cross‐diffusion. The novelty in the examination is the angle of inclination with a permeable vertical plate. The purpose of the work is to analyze the impact of some parameters on the flow in two cases, namely, obtuse angle and acute angle. The solution of the flow‐governed equations is attained by the utilization of the finite divergence technique in explicit type. The nature of the fluid velocity is observed in the cases of acute angle and obtuse angle and described accordingly with the use of graphs and tables. The validation of the method is checked with the published outcomes and pointed out a fine agreement with it. One of the major findings is that for increasing values of porosity the velocity enhances in the case of an acute angle and falls in the case of an obtuse angle.

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Section: Formulation Of the Problemmentioning

confidence: 99%

\frac{\partial \hat{u}}{\partial \hat{t}}=\nu \frac{{\partial }^{2}\hat{u}}{\partial \hat{y}}+g\beta (\hat{T}-{\hat{T}}_{\infty })\sin \,\alpha -\frac{\sigma {B}_{0}^{2}\hat{u}}{\rho }+g\hat{\beta }(\hat{C}-{\hat{C}}_{\infty })\sin \,\alpha -\frac{\nu }{{\hat{k}}_{p}}\hat{u}

\frac{\partial \overset{T}{true}}{\partial \overset{t}{true}} = \frac{1}{ρ C_{p}} (][, false \begin{array}{r} k_{T} true \frac{\partial^{2} \hat{T}}{\partial {\overset{y}{true}}^{2}} - true \frac{\partial \hat{q}}{\partial \hat{y}} + \overset{Q}{true} (\hat{T} - {\overset{T}{true}}_{\infty}) + (true \frac{D_{m} k_{T} ρ}{C_{s}}) true \frac{\partial^{2} \hat{C}}{\partial {\overset{y}{true}}^{2}} \\ + μ {(\frac{\partial \overset{u}{true}}{\partial \overset{y}{true}})}^{2} + Q_{l} (\hat{C} - \overset{C}{true} \end{array})

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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MHD flow pattern in a parabolic mode based on the angle of inclination under cross‐diffusion

et al. 2022

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“…Thus, understanding the concept of thermal radiation and chemical reaction is the main focus of this area of work. MHD convective flow with thermal radiation and chemical reaction effects is studied by Endalew and Sarkar [16]. In this study, they conducted an analytical study of thermal radiation, and chemical reac-tion effect on natural convective MHD flow within porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

Endalew

Goshu

Tegegne

2022

Journal of Applied Mathematics

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This paper explores the impact of chemical reaction and thermal radiation on time-dependent hydromagnetic thin-film flow of a second-grade fluid across an inclined flat plate embedded in a porous medium. The thermal radiation based on the Rosseland approximation is incorporated in the energy equation. Uniform applied magnetic field and first-order homogenous chemical reaction are included in the momentum and concentration equations, respectively. The novel mathematical flow model is constructed by using a set of partial differential equations (PDEs). The PDEs are then transformed into an equivalent set of ordinary differential equations (ODEs) and solved by applying the Laplace transform method. However, the time domain solutions are obtained by using the INVLAP subroutine of MATLAB. Physical parameters influencing thin-film velocity, temperature, and concentration are illustrated graphically, while those affecting skin friction, heat, and mass transfer rates are presented in a tabular form. It is found that thin-film velocity and temperature boost with increasing values of thermal radiation, but thin-film velocity decreases with increasing values of chemical reaction and magnetic field. The current investigation is to enhance heat and mass transfer in the design of mechanical systems involving the thin film flow of second-grade fluids over an inclined flat plate after applying thermal radiation and chemical reaction.

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MHD steady natural convection in a vertical porous channel in the presence of point/line heat source/sink: An exact solution

2023

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This study focuses on the steady free convection of an electrically conducting viscous and incompressible fluid in a vertically oriented porous channel with a line/point heat source/sink (point/line heat generation/absorption) at different channel positions in the coexistence of magnetic and suction/injection parameters. The constant heat source/sink parameters, which mathematically define the line heat source/sink, are modeled using the Heaviside step function. The Laplace transform procedure was applied to find the precise expression for the dimensionless governing equations that make up the flow model. Investigations were conducted on flow patterns with line graphs to visually depict the function of the magnetic, suction/injection, and heat generation parameters. The tabular simulations of results demonstrate that increasing the suction/injection parameter can result in a decrease in the mass flow rate by 8.9%. Similarly, increasing the magnetic parameter causes the mass flow rate to drop by almost 27%. Furthermore, with an improvement in the magnetic and suction/injection parameters, frictional force and mass flux values declined. An upsurge in the magnetic fieldand suction/injection parameters causes a rise in skin friction and mass flux near the left surface and a decline at around the right surface as the point heat source extends over a region.

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Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium

Cited by 11 publications

References 34 publications

MHD flow pattern in a parabolic mode based on the angle of inclination under cross‐diffusion

MHD flow pattern in a parabolic mode based on the angle of inclination under cross‐diffusion

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

MHD steady natural convection in a vertical porous channel in the presence of point/line heat source/sink: An exact solution

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