Three-Dimensional Free Convective Flow Through Porous Medium in a Vertical Channel with Heat Source and Chemical Reaction

Rath, P. K.; Parida, T.; Dash, G. C.

doi:10.1007/s40010-012-0029-5

Cited by 7 publications

(3 citation statements)

References 10 publications

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“…MHD flow through a porous medium past a stretched vertical permeable surface in the presence of heat source or sink and a chemical reaction has been studied [11]. The three dimensional free convection flow through porous medium in a vertical channel with heat source and chemical reaction studied [12].The unsteady two dimensional flow and heat transfer through an elastic viscous liquid along an infinite hot vertical porous surface bounded by porous medium studied [13]. MHD flows in Non Newtonian fluids has been studied [16].…”

Section: Introductionmentioning

confidence: 99%

Thermal Radiation, Chemical Reaction and Viscous Dissipation Effects on Unsteady MHD Flow of Viscoelastic Fluid Embedded in a Porous Medium

Zigta¹

2019

birex. budapest. internation. research. in. exact. science

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In this paper the effect of unsteady, incompressible, magneto hydrodynamics filled with electrically conducting viscoelastic fluid in an infinite vertical Couette porous channel wall embedded in a porous medium is analyzed. A uniform magnetic field is applied perpendicular to the channel wall. The temperature of the moving channel wall varies periodically and the temperature difference between the two infinite vertical channel walls is high due to thermal radiation. The Eckert number is the ratio of the kinetic energy of the flow to the temperature difference of the channel walls. The solution of the governing equations is obtained using regular perturbation techniques. These techniques are used to transform partial differential equations that are difficult to solve in closed form. These equations are reduced to a set of ordinary differential equations in dimensionless form so can be solved analytically. The effects of physical parameters Viz. Hartmann number, Viscoelastic parameter, Eckert number, Permeability of porous medium, Chemical reaction parameter, thermal Grashof number for heat transfer, modified Grashof number for mass transfer, frequency parameter and Schmidt number on flow parameters Viz., velocity, temperature and concentration has been discussed and shown graphically. The theoretical results have been supported by MATLAB code simulation study. The results show that velocity decreases with increasing values of frequency, Hartmann number and viscoelastic parameter but reverse effect is observed with temperature, thermal Grashof number, modified Grashof number and permeability of porous medium. Furthermore, The result shows that an increment in both thermal radiation parameter and Eckert number results in decrement of temperature near the moving porous channel wall while it approaches to a zero in the region close to the boundary layer of the stationary channel wall,. An increment in both chemical reaction and Schmidt number results in decreasing concentration. The velocity of fluid increases as Grashof number and modified Grashof number increases.

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Section: Introductionmentioning

confidence: 99%

Thermal Radiation, Chemical Reaction and Viscous Dissipation Effects on Unsteady MHD Flow of Viscoelastic Fluid Embedded in a Porous Medium

Zigta¹

2019

birex. budapest. internation. research. in. exact. science

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“…MHD flow through a porous medium past a stretched vertical permeable surface in the presence of heat source or sink and a chemical reaction has been studied [11]. The three dimensional free convection flows through porous medium in a vertical channel with heat source and chemical reaction was studied [12]. The unsteady two dimensional flows and heat transfer through an elastic viscous liquid along an infinite hot vertical porous surface bounded by porous medium was studied [13].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Physical Parameters on Flow Variables of an Electrically Conducting Viscoelastic Fluid

Zigta¹,

Koya²

2017

AJAM

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In this paper the effect physical parameters on flow variables of unsteady, incompressible, electrically conducting viscoelastic fluid flowing between a pair of infinite vertical Couette porous channel walls embedded in a porous medium is analyzed. A uniform magnetic field is applied perpendicular to the channel walls. The temperature of the moving wall varies periodically. The temperature difference between the two walls is high enough due to thermal radiation. The solution of the governing equations is obtained using regular perturbation techniques. This technique is applied on partial differential equations that are difficult to solve. These partial differential equations are reduced to a set of ordinary differential equations in dimensionless form and thus they can be solved analytically. The effects of physical parameters on the flow variables are studied and the results have been discussed. The physical parameters considered include Hartmann number, viscoelastic parameter, Permeability of porous medium, chemical reaction parameter, radiative parameter, thermal Grashof number for heat transfer, modified Grashof number for mass transfer, frequency parameter, Prandtl number, mass diffusivity and Schmidt number. The flow variables considered include velocity, temperature and concentration. The theoretical results have been supported by simulation study. The observations include: (i) velocity decreases with increasing values of frequency, Hartmann number and viscoelastic parameter (ii) velocity increases with increasing values of temperature, thermal Grashof number, modified Grashof number and permeability of porous medium, (iii) the temperature decreases near the moving channel wall when the radiative parameter increases (iv) the temperature approaches to zero in the region near to the boundary layer of the stationary channel wall when the radiative parameter increases (v) concentration decreases with an increment in both chemical reaction and Schmidt number and (vi) The velocity of fluid increases as thermal Grashof number and modified Grashof number increases.

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“…MHD flow through a porous medium past a stretched vertical permeable surface in the presence of heat source/sink and a chemical reaction has been studied by Dash et al [13]. Rath et al [14] have studied the three dimensional free convection flow through porous medium in a vertical channel with heat source and chemical reaction. Sharma and Sharma [15] have studied the unsteady two dimensional flow and heat transfer through an elastico-viscous liquid along an infinite hot vertical porous surface bounded by porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD flow of a visco-elastic fluid along vertical porous surface with fluctuating temperature and concentration

Mohanty¹

2014

IOSRJEN

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Three-Dimensional Free Convective Flow Through Porous Medium in a Vertical Channel with Heat Source and Chemical Reaction

Cited by 7 publications

References 10 publications

Thermal Radiation, Chemical Reaction and Viscous Dissipation Effects on Unsteady MHD Flow of Viscoelastic Fluid Embedded in a Porous Medium

Thermal Radiation, Chemical Reaction and Viscous Dissipation Effects on Unsteady MHD Flow of Viscoelastic Fluid Embedded in a Porous Medium

The Effect of Physical Parameters on Flow Variables of an Electrically Conducting Viscoelastic Fluid

Unsteady MHD flow of a visco-elastic fluid along vertical porous surface with fluctuating temperature and concentration

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