Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction

Rahman, Muhammad M.; Mamun, Abdullah Al; Azim, Md. Abdul; Alim, Md. Abdul

doi:10.15388/na.2008.13.4.14555

Cited by 27 publications

(18 citation statements)

References 15 publications

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“…Table 2 depicts that the Nusselt number decreases due to increase in the thermal conductivity parameter (θ k =3, 5... 15) for h= 0.4. The results are qualitatively similar to the related study by Rahman et al (2008) and show that increasing the thermal conductivity of the fluid leads to a decrease in the Nusselt number. This may partly be explained by the fact that that increasing thermal conductivity has the effect of accelerating and increasing the temperature of the fluid.…”

Section: Resultssupporting

confidence: 89%

The Effects of Variable Viscosity and Thermal Conductivity on MHD Oscillatory Free Convective Flow Past a Vertical Plate in Slip Flow Regime with Variable Suction and Periodic Plate Temperature

2013

JAFM

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The effects of variable viscosity and thermal conductivity on free convective oscillatory flow of a viscous incompressible and electrically conducting fluid past a vertical plate in slip flow regime with periodic plate temperature when suction velocity oscillates in time about a constant mean is discussed. The fluid viscosity and thermal conductivity are assumed to be inverse linear functions of temperature. The problem is governed by a coupled non-linear system of partial differential equations. Explicit finite difference method is employed to solve the equations. The effects of viscosity variation parameter, thermal conductivity variation parameter, magnetic parameter on the velocity distribution dna temperature distribution for Pr  =0.7 fluid and for rarefaction parameter h=0 and h=0.4 are discussed and shown graphically. Also the effects of these parameters on the skin friction coefficient and on the rate of heat transfer are calculated.

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Section: Resultssupporting

confidence: 89%

The Effects of Variable Viscosity and Thermal Conductivity on MHD Oscillatory Free Convective Flow Past a Vertical Plate in Slip Flow Regime with Variable Suction and Periodic Plate Temperature

2013

JAFM

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“…Here  is coefficient of volume expansion. The temperature dependent thermal conductivity, which is used by Rahman [5]…”

Section: Mathematical Formulation Of the Problemmentioning

confidence: 99%

“…Hossain [4] analyzed the viscous and Joule heating effects on MHD free convection flow with variable plate temperature. Rahman et al [5] investigated the effects of temperature dependent thermal conductivity on MHD free convection flow along a vertical flat plate with heat conduction. Nasrin and Alim [6] studied the combined effects of viscous dissipation and temperature dependent thermal conductivity on MHD free convection flow with conduction and joule heating along a vertical flat plate.…”

Section: Introductionmentioning

confidence: 99%

Effects of Conduction Variation on MHD Natural Convection Flow along a Vertical Flat Plate with Thermal Conductivity

Islam¹,

Alim²,

Karim³

et al. 2016

J. Sci. Res.

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This paper reports the effect of conduction variation of free convection flow along a vertical flat plate on magnetohydrodynamic (MHD) with thermal conductivity. The governing equations with associated boundary conditions reduce to local non-similarity boundary layer equations for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method together with Keller-box technique. Numerical results of the velocity and temperature profiles, skin friction and surface temperature profiles for different values of the magnetic parameter, the thermal conductivity variation parameter, the Prandtl number and the conduction variation parameters are presented graphically. Detailed discussion is given for the effect of the aforementioned parameters. Opposite scenario is found in skin friction and surface temperature for the thermal conductivity variation parameter. Significant effect is found in skin friction and surface temperature for conduction variation parameter.

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“…Alim et al [2] investigated the Joule heating effect on the coupling of conduction with MHD free convection flow from a vertical flat plate. Rahman et al [3] presented the effects of temperature dependent thermal conductivity on MHD free convection flow along a vertical flat plate with heat conduction. Alim et al [4] studied the combined effect of viscous dissipation & Joule heating on the coupling of conduction & free convection along a vertical flat plate.…”

Section: Introductionmentioning

confidence: 99%

Effect of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate

Sarker

Alam

2021

JAMCS

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Free convection flow around a heated vertical flat plate in the presence of a magnetic field is very important from the technical standpoint, and several researchers have studied this issue. The effects of variable viscosity and thermal conductivity on Magneto-Hydrodynamics (MHD) free convection flow over an isothermal vertical plate immersed in a fluid with heat conduction will be studied in this study. The two-dimensional, laminar, and unsteady boundary layer equations are considered in this paper. Using relevant variables, simple governing equations are transformed into non-dimensional governing equations. The implicit finite difference scheme, also known as the Crank-Nicolson scheme, is used to solve these equations numerically. This research looks at viscous incompressible fluids with temperature-dependent viscosity and thermal conductivity. The effect of various parameters on velocity, temperature, local skin friction, and local heat transfer coefficient profiles will be shown in this study, and the results will be compared to those of other researchers. The current numerical results will be compared to the results of previously published works. Figures from the current thesis will be compared to those from previously published works. The outcomes result will be shown in graphs for various values of relevant physical parameters.

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Effects of Temperature Dependent Thermal Conductivity on Magnetohydrodynamic (MHD) Free Convection Flow along a Vertical Flat Plate with Heat Conduction

Cited by 27 publications

References 15 publications

The Effects of Variable Viscosity and Thermal Conductivity on MHD Oscillatory Free Convective Flow Past a Vertical Plate in Slip Flow Regime with Variable Suction and Periodic Plate Temperature

The Effects of Variable Viscosity and Thermal Conductivity on MHD Oscillatory Free Convective Flow Past a Vertical Plate in Slip Flow Regime with Variable Suction and Periodic Plate Temperature

Effects of Conduction Variation on MHD Natural Convection Flow along a Vertical Flat Plate with Thermal Conductivity

Effect of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate

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