Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates

Sa’adAldin, AbdelLatif; Qatanani, Naji

doi:10.1155/2017/6856470

Cited by 5 publications

(4 citation statements)

References 12 publications

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“…Recently, there has been more attentions on heat transfer, and fluid flow analysis under a magnetic field, especially MHD, and solving the governing equations numerically. [37][38][39][40][41][42][43][44] Sa'adaldin and Qatanani 45 examined the unsteady MHD flow issue analytically and numerically. Nesliturk and Tezer-Sezgin 46 studied the high Hartmann numbers for MHD flow using the finite element approach.…”

Section: Introductionmentioning

confidence: 99%

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Raghunatha

Vinod

2023

Heat Trans

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In this study, a numerical solution of the velocity and heat transfer on the magnetohydrodynamic suction–injection model of viscous fluid flow has been studied. We use the differential transformation method and Bernoulli wavelet method to solve the highly nonlinear governing equations; applying appropriate similarity transformations and reducing governing equations to highly nonlinear coupled ordinary differential equations. The objective of this analysis is to determine how the suction parameter, Hartmann number, squeeze number, thermophoresis parameter, and Prandtl number affect the velocity and temperature profiles. When the current findings are compared with those that have already been published in the literature, confident suppositions are made, and it is discovered that there is considerable agreement. Graphs have been used to discuss the influence of nondimensional characteristics on velocity and temperature.

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Section: Introductionmentioning

confidence: 99%

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Raghunatha

Vinod

2023

Heat Trans

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“…It is used in a variety of applications, including nuclear reactor cooling systems, blood flow monitoring, and accelerators. Sa'adAldin et al, [1] researched and addressed the problem of unsteady MHD flow in porous media within the existence of a magnetic field between two parallel flat plates using the Finite Element Method. Acharya et al, [2] investigated the spatial and temporal effects of medium porosity coupled with plate temperature fluctuations.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Study on a Steady MHD Flow in Double Stratification Medium

V. Ananthaswamy,

R. R. Subanya,

S. Sivasankari

2023

CFDL

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The detailed analysis on the flow of MHD fluid in double stratification medium across a stretching sheet with exponential permeability is examined in this research. The approximate analytical solution for the governing equations in steady state is found by using a new approximate analytical method called Ananthaswamy-Sivasankari Method (ASM) and Modified Homotopy Analysis Method (MHAM). The approximate analytical expressions for the dimensionless velocity, dimensionless temperature and dimensionless concentration are derived using these methods. The analytical and numerical results (previous work) are compared and there is a good agreement between our analytical results and numerical works. The impacts of several parameters including porosity, magnetic, suction and heat source parameters are shown in graphical representation. The error table for the physical parameter namely Nusselt number for various values of Prandtl number has been provided. Both ASM and MHAM are very useful to solve some other non-linear boundary value problems especially in MHD fluid flow

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“…FE method yields reliable solutions to a wide variety of problems. Abdel and Naji 33 presented a case study for magnetohydrodynamics (MHD) flow past porous regions confined between parallel sheets and opined that the FE approach provides more reliable findings for comparison with the FD approach. Bég et al 34 developed an FE solution for Lorentz force effects on rotating magneto fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Significance of solar radiation and magnetic dipole impact on micropolar ferromagnetic fluid flow via an extending surface using finite element approach

et al. 2022

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The Galerkin finite element approach is utilized to examine the significance of magnetic dipole and solar radiation on the dynamic of micropolar ferromagnetic fluid due to extending stretch surface. The magnetic field and the significant power of magnetic dipole help to stabilize the magnetized nanoparticles inside the fluid. The solid nano-sized particles are incorporated due to enhanced host fluid thermal conductivity, which plays a significant role in heat exchangers, modern nano-technology, electronics chips, and materials sciences. In the present elaborated problem, with the aid of similarity transformation, the partial differential formulation is transformed into a set of dimensionless ordinary differential equations, and finds a numerical solution via finite element discretization. The detailed parametric study corresponding to various physical conditions is carried out to reveal that incremented ferromagnetic interaction variable recedes the flow speed, but it grows the thermal and microrotation distributions, and the decline in temperature is observed with the increment of ratio, viscous dissipation, and curie temperature parameters. The

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Finite Element Solution of an Unsteady MHD Flow through Porous Medium between Two Parallel Flat Plates

Cited by 5 publications

References 12 publications

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

A Mathematical Study on a Steady MHD Flow in Double Stratification Medium

Significance of solar radiation and magnetic dipole impact on micropolar ferromagnetic fluid flow via an extending surface using finite element approach

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