Computational Treatment of MHD Transient Natural Convection Flow in a Vertical Channel Due to Symmetric Heating in Presence of Induced Magnetic Field

Jha, Basant K.; Isa, Siti Sarah Mat

doi:10.7566/jpsj.82.084401

Cited by 19 publications

(10 citation statements)

References 19 publications

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“…These, however, could be obviously difficult hence we employed a numerical method; the Riemann-Sum Approximation Method used by Khadrawi et al 29 and later by Jha and Isa. 30 This approach requires that the Laplace inverse of any function U y p ̅ ( , ) can be obtained from…”

Section: Riemann-sum Approximation Methodsmentioning

confidence: 99%

“…To obtain their corresponding expression in the time domain, we take their respective Laplace inverses. These, however, could be obviously difficult hence we employed a numerical method; the Riemann‐Sum Approximation Method used by Khadrawi et al 29 and later by Jha and Isa 30 . This approach requires that the Laplace inverse of any function

\mathop{U}\limits^{&#773;}(y,p)

can be obtained from

U(y,t)=\frac{{e}^{\varepsilon t}}{t}\left[\frac{1}{2}\bar{U}(y,\varepsilon )+Re\sum _{k=1}^{n}\bar{U}\left(y,\varepsilon +\frac{{ik}\pi }{t}\right){(-1)}^{k}\right],

where

Re

is the real part of the expression,

i=\sqrt{-1}

is the imaginary number, and

n

is the number of iterations used while

\varepsilon

is the real part of the Bromwich contour used for inverting a function from the Laplace domain to its corresponding time domain.…”

Section: Mathematical Analysismentioning

confidence: 99%

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Time‐dependent pressure‐driven flow in a horizontal cylinder filled with a bidisperse porous material

2023

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Some properties of time-dependent that modify Brinkman equations for fluid flow in a cylindrical tube filled with Bidisperse Porous Material are discussed in this article. The fluid velocities through the fracture and porous phases of the Bidisperse Porous Medium (BDPM) resulting from the application of pressure gradient are described by two coupled second-order partial differential equations. Laplace transform technique, D'Alembert and Riemann-Sum Approximation Methods are used to obtain a semianalytical solution for the model. The choice of the

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Section: Riemann-sum Approximation Methodsmentioning

confidence: 99%

\mathop{U}\limits^{&#773;}(y,p)

can be obtained from

U(y,t)=\frac{{e}^{\varepsilon t}}{t}\left[\frac{1}{2}\bar{U}(y,\varepsilon )+Re\sum _{k=1}^{n}\bar{U}\left(y,\varepsilon +\frac{{ik}\pi }{t}\right){(-1)}^{k}\right],

where

Re

is the real part of the expression,

i=\sqrt{-1}

is the imaginary number, and

n

is the number of iterations used while

\varepsilon

is the real part of the Bromwich contour used for inverting a function from the Laplace domain to its corresponding time domain.…”

Section: Mathematical Analysismentioning

confidence: 99%

Time‐dependent pressure‐driven flow in a horizontal cylinder filled with a bidisperse porous material

2023

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“…Haque and Alam (2009) studied the transient heat and mass transfer by mixed convection flow from a vertical porous plate with induced magnetic field, constant heat and mass fluxes. Jha and Sani (2013) carried out a study on computational treatment of MHD of transient natural convection flow in a vertical channel due to symmetric heating in presence of induced magnetic field. Ahmed (2010) analyzed induced magnetic field with radiation fluid over a porous vertical plate.…”

Section: Inroductionmentioning

confidence: 99%

Induced Magnetic Field Interaction in Free Convective Heat and Mass Transfer Flow of a Chemically Reactive Heat Generating Fluid With Thermo-Diffusion and Diffusion-Thermo Effects

Sengupta¹,

Karmakar²

2018

Frontiers in Heat and Mass Transfer

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An exact analysis is made to study the magnetohydrodynamics (MHD) free convective flow of an electrically conducting and chemically reacting Newtonian, incompressible, viscous fluid, flowing past an infinite vertical plate with combined heat and mass transfer. An inclined magnetic field of uniform strength is applied to the plate. As the value of the magnetic Reynolds number is of comparable order of magnitude, the effect of induced magnetic field is being considered and on the other hand due to weak voltage difference caused by the very low polarization charges, the influence of electric field is considered to be neglected. Cross-diffusion effects, like thermo-diffusion (Soret) and diffusion-thermo (Dufour) is being undertaken for this study due to high temperature and concentration gradients in the flow field. The influence of various physical parameters likes Hartmann number (Ha), heat generation (source) parameter (Qs), first order chemical reaction parameter (F), Soret number (Sr) and Dufour number (Du) in particular is studied. The parametric effect of various pertinent parameter on the velocity, temperature and concentration profiles as well as on the induced, current density, total magnetic field as well as on the skin-friction, Nusselt number () and Sherwood number () are discussed. The increase in the magnetic field parameter (Hartmann number (Ha)) decreases the fluid velocity and current density but increases the skin-friction as well as induced magnetic field. The first order chemical reaction is found to decrease both the velocity field as well as induced magnetic field. The Soret number (Sr) increases both the velocity field and induced magnetic field but Dufour number (Du) only increases the velocity field while decreases the induced magnetic field.

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“…Realizing the significance of the induced magnetic effects on flows of electrically conducting fluids, several researchers have studied MHD flow problems under diverse physical and geometrical conditions. [25][26][27][28][29] The principal focus of the current investigation is to analyze the problem of free convective MHD flow past an impulsively started infinite vertical plate taking into account the Dufoureffect and induced magnetic field with Ramped wall temperature and concentrations at the wall.…”

Section: Introductionmentioning

confidence: 99%

Natural MHD convection for an impulsively started infinite vertical plate with diffusion‐thermo effect, induced magnetic field, and ramped wall temperature and concentration

Ahmed

Gohain

2021

Heat Trans

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The major motive of the current investigation is to analyze an exact solution for an unsteady magnetohydrodynamics natural convective flow of a viscous incompressible electrically conducting non-gray optically thick fluid past an impulsively started infinite vertical plate with ramped wall temperature and concentration in the presence of radiation, diffusionthermo effect, and induced magnetic field. Laplace transform method is used to acquire the specific solutions of the dimensionless domain equations. The impact of various physical parameters on fluid velocities, temperature, concentration, and moreover on the rate of heat transfer, mass transfer, and skin friction at the wall are shown graphically. It is also found that the Dufour effect causes an increase in fluid velocity as well as temperature. The ramped condition influences the rise in Nusselt number. K E Y W O R D S concentration, diffusion-thermo effect (Dufour effect), heat transfer, induced magnetic field, mass flux, natural convection, ramped wall temperature

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Computational Treatment of MHD Transient Natural Convection Flow in a Vertical Channel Due to Symmetric Heating in Presence of Induced Magnetic Field

Cited by 19 publications

References 19 publications

Time‐dependent pressure‐driven flow in a horizontal cylinder filled with a bidisperse porous material

Time‐dependent pressure‐driven flow in a horizontal cylinder filled with a bidisperse porous material

Induced Magnetic Field Interaction in Free Convective Heat and Mass Transfer Flow of a Chemically Reactive Heat Generating Fluid With Thermo-Diffusion and Diffusion-Thermo Effects

Natural MHD convection for an impulsively started infinite vertical plate with diffusion‐thermo effect, induced magnetic field, and ramped wall temperature and concentration

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