Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field

Khatun, Ronju; Roknujjaman, Mohammad; Mohit, Mohammad Abdul Al

doi:10.11648/j.ijamtp.20180401.13

Cited by 2 publications

(2 citation statements)

References 3 publications

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“…Considering nodes (1,2), (1,3), (2,1), (2,2), (2,3) and (3,1), (3,2), (3,3), then the equation ( 21 The above equations represent a system of ODEs. By considering Matlab code the required solution for the system of ODEs is given by U = [ -10.4132, 20.8238, 13.1834, 20.8238, -0.0182, 43.0405, 13.1834, 43.0405, 9.0124] Substitute the above solution in equations (11) given by…”

Section: Numerical Solutionsmentioning

confidence: 99%

“…In existing applications, partial differential equations play a crucial role in various fields, with a focus on the sciences and engineering [6][7][8]. Many studies in scientific and engineering domains are modeled using partial differential equations, including studies in thermoelasticity [8,9], fluid flow [10,11], and so on. There is a growing emphasis on the development, analysis, and implementation of numerical methods to solve these problems.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

Roknujjaman,

Arefin,

Joarder

2024

Preprint

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The method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations numerically. In this study, the numerical techniques were introduced to solve elliptic partial differential equation (PDE) together with initial and boundary conditions. The Poisson equation was considered as an elliptic PDE. Particularly, two methods were used to solve a two-dimensional Poisson equation numerically, such as the method of lines (MOL) and Crank-Nicholson method (CNM). The implementation of the solutions was done using Microsoft office spreadsheet and MATLAB programing language. Lastly, the numerical solutions were presented graphically which was obtained with method of lines along with Crank-Nicholson method.

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Section: Numerical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

Roknujjaman,

Arefin,

Joarder

2024

Preprint

View full text Add to dashboard Cite

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On magnetohydrodynamics free convective flow within coaxial cylinder due to nonlinear thermal radiation in an isothermal/isoflux condition

Isah,

Abubakar,

Usman

2024

Proceedings of the Institution of Mechanical Engineers, Part E:

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A theoretical exploration was reported to highlight the electrically viscous conducting fluid within a coaxial cylinder. Both the outer surface of the inner cylinder and the inner surface of the outer cylinder were porous, heated, and cool, respectively. The action of a simultaneous radial transverse magnetic field and velocity slip were imposed across the coaxial cylinder. For appropriate insight into the physical problem, the thermal Rosseland diffusion approximation was used to indicate the radiative heat flux in the energy equation. The aim is to investigate the effects of isothermal and isoflux conditions on slip-upshot heat transfer in a vertical coaxial cylinder due to nonlinear thermal radiation. The steady-state and unsteady solutions of the physical problem were provided and solved via regular perturbation and implicit finite different domains, respectively. It was noted that the magnetic and suction parameters reduced the fluid velocity and skin friction under both isothermal and isoflux conditions. Conversely, the Grashof number, thermal radiation, and injection parameters increased the fluid velocity, fluid temperature, and skin friction, with a more significant effect observed under isothermal conditions on the surfaces of the coaxial cylinder. Additionally, the sensitivity analysis revealed that the radiation parameter is highly sensitive under isothermal conditions, followed by the temperature difference parameter. In contrast, under isoflux conditions, the injection parameter shows extreme sensitivity, with the radiation parameter being the next most sensitive. The result reveals an excellent agreement between the analytical and numerical results at maximum time.

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Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field

Cited by 2 publications

References 3 publications

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

On magnetohydrodynamics free convective flow within coaxial cylinder due to nonlinear thermal radiation in an isothermal/isoflux condition

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