Impact of Chemical Reaction, Hall Current, and Radiation on MHD Flow Between Vertical Walls

Panigrahi, Lipika; Kumar, Dileep; Panda, J. P.

doi:10.1134/s1810232821010100

Cited by 13 publications

(9 citation statements)

References 20 publications

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“…Ali et al [22] studied the significance of heat source and their related thermal aspects. Many other researchers investigated how thermal radiation affects on MHD such as Mulinti and Pallavarapu [23], Panigrahi et al [24], Patel [25], Abbas et al [26], Wahid et al [27], Shah et al [28], and so forth.…”

Section: Introductionmentioning

confidence: 99%

A study of magnetohydrodynamic flow on a channel with induced magnetic field, Soret effect and heat radiation

Das

Majumdar

2023

Z Angew Math Mech

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The current study focuses on the magnetohydrodynamic flow of fluids through two vertical, insulated walls. The influences of Newtonian heating/cooling, induced magnetic field (IMF), the Soret effect, radiative heat flux, and first‐order chemical reaction are considered. By solving the set of non‐dimensional linked governing equations, we were able to determine the expressions for the velocity, temperature, concentration, and IMF. The equations for Nusselt number, induced current density, and skin friction were also obtained. The graph displays the effects of several parameters on velocity, temperature, concentration, IMF, and induced current density (ICD). Additionally, a tabular analysis is done to see how these non‐dimensional parameters affect Nusselt number and skin frictions. It is seen that the Grashof number and Soret number improve the fluid velocity and skin friction whereas the chemical reaction parameter and Schmidt number reduces skin friction.

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Section: Introductionmentioning

confidence: 99%

A study of magnetohydrodynamic flow on a channel with induced magnetic field, Soret effect and heat radiation

Das

Majumdar

2023

Z Angew Math Mech

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“…e finite element method (FEM) and boundary integral equation method are used to solve the forward problem [8,9]. For some other numerical techniques for differential equations, we refer to [10][11][12][13][14][15][16][17][18]. e Bayesian perspective to inverse problems is developed rapidly in the past two decades.…”

Section: Introductionmentioning

confidence: 99%

A Homotopy Bayesian Approach for Inverse Problems

Yang

Deng

2022

Mathematical Problems in Engineering

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In solving Bayesian inverse problems, it is often desirable to use a common density parameterization to characterize the prior and posterior. Typically, we seek an optimal approximation of the true posterior from the same distribution family as the prior. As one of the most important classes of distributions in statistics, the exponential family is considered as the parameterization. The optimal parameter values for representing the approximated posterior are achieved by minimizing the deviation between the parameterized density and a homotopy that deforms the prior density into the posterior density. Instead of the usual moment parameters, we introduce a new parameter system in the process, by which we reduce the dimension of the parameter and therefore the computational cost. The parameters are ruled by a system of explicit first-order differential equations. Solving this system over finite “time” interval yields the desired optimal density parameters. This method is proven to be effective using some numerical examples.

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“…The impact of Hall‐ion slip influence on the hydromagnetic flow of viscoelastic fluid in an inclined permeable channel has been investigated by Singh and Savanur 19 . Other notable articles on the subject can be found in Panigrahi et al, 20 Kumar and Singh, 21 Kumar et al, 22,23 Singh et al, 24 Gireesha et al, 25 Singh et al, 26 Othman and Abd‐Elaziz, 27 Gala and Ragusa, 28 Singh and Vishwanath, 29 Rajakumar et al, 30–32 and Goud et al 33…”

Section: Introductionmentioning

confidence: 99%

“…The impact of Hall-ion slip influence on the hydromagnetic flow of viscoelastic fluid in an inclined permeable channel has been investigated by Singh and Savanur. 19 Other notable articles on the subject can be found in Panigrahi et al, 20 Kumar and Singh, 21 Kumar et al, 22,23 Singh et al, 24 Gireesha et al, 25 Singh et al, 26 Othman and Abd-Elaziz, 27 Gala and Ragusa, 28 Singh and Vishwanath, 29 Rajakumar et al, [30][31][32] and Goud et al 33 The current study presents a theoretical examination of the transient hydromagnetic flow of viscous fluid in a vertical microchannel subject to simultaneous suction/injection at the microchannel walls in the combined occurrence of an IMF, ion slip with Hall effects. The inclusion of suction/injection has a significant contribution to flow formation and has the ability to affect the rate of heat and mass transfer which could be utilized in cooling the boundary surface.…”

Section: Introductionmentioning

confidence: 99%

Computational analysis and heat transfer on MHD transient‐free convection flow in a vertical microporous channel in the existence of Hall and ion slip current

Jha

Malgwi

2022

Heat Trans

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This investigation presents an analysis of the transient magnetohydrodynamic flow of Newtonian viscous fluid in a vertical microporous channel with the inclusion of ion slip‐Hall current as well as an induced magnetic field (IMF) effects. Owing to the nature of the flow equations which are difficult to obtain an analytical result, a numerical scheme (PDEPE) based on finite difference approximation is adopted in solving the governing dimensional partial differential equation. The active influence of different flow parameters on velocity and IMF along the main flow and induced flow directions are visualized. Furthermore, variations of shear stress and induced current density are also presented in tabular form for active nondimensional flow quantities and later on analyzed. To establish the validity of the results obtained in this computation, values for velocity and IMF in this analysis were correlated with the steady‐state existing benchmark when the values of nondimensional time are considered large. Significant results from the analysis show that at the transient time and in the simultaneous occurrence of suction/injection at the microchannel walls, higher values of ion slip current have no considerable influence on flow formation along the primary flow direction, whereas an oscillatory phenomenon is observed along the secondary flow direction. It is also significant to note that at a transient time, magnetic induction could be improved or controlled by choosing favorable values of the suction/injection parameter.

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Impact of Chemical Reaction, Hall Current, and Radiation on MHD Flow Between Vertical Walls

Cited by 13 publications

References 20 publications

A study of magnetohydrodynamic flow on a channel with induced magnetic field, Soret effect and heat radiation

A study of magnetohydrodynamic flow on a channel with induced magnetic field, Soret effect and heat radiation

A Homotopy Bayesian Approach for Inverse Problems

Computational analysis and heat transfer on MHD transient‐free convection flow in a vertical microporous channel in the existence of Hall and ion slip current

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