B. K. JHA ET AL.

Copyright © 2011 SciRes. AM

1436

From the results presented in Tables, it can be noticed

that the approximate analytical solutions presented in this

work, though it is simple, it gives good and accurate re-

sults, and hence it can be efficiently used to solve this

class of nonlinear differential equation models.

6. References

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[2] M. P. Cheng and C. H. Chang, “Mixed Convection about

a Nonisothermal Cylinder and Sphere in a Porous Me-

dium,” Numerical Heat and Mass Transfer, Vol. 8, 1985,

pp. 349-359.

[3] H. C. Brinkman, “A Calculation of the Viscous Force

Exerted by a Flowing Fluid on a Dence Swarm of Parti-

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[4] D. A. Nield and A. Bejan, “Convection in Porous Me-

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[5] K. Vafai and S. J. Kim, “Forced Convection in a Channel

filled with a Porous Medium: An Exact Solution,” Tran-

sactions of the ASME (American Society of Mechanical

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[6] D. A. Nield, S. L. M. Junqueira and J. L. Lage, “Forced

Convection in a Fluid-Saturated Porous-Medium Channel

with Isothermal or Iso-Flux Boundaries,” Journal of

Fluid Mechanics, Vol. 322, 1996, pp. 201-214.

doi:10.1017/S0022112096002765

[7] M. A. Al-Nimr and T. K. Aldoss, “The Effect of the Mac-

roscopic Local Inertial Term on the Non-Newtonian Fluid

Flow in Channels Filled with Porous Medium,” Interna-

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pp. 125-133. doi:10.1016/S0017-9310(03)00382-X

[8] B. A. Abu-Hijleh and M. A. Al-Nimr, “The Effect of the

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[9] A. F. Khadrawi and M. A. Al-Nimr, “The Effect of the

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[10] M. L. Kaurangini and B. K. Jha, “Effect of Inertial on

Generalized Couette Flow in Composite Parallel Plates

with Uniform Porous Medium in the Presence of Suction

and Injection,” International Journal of Modelling, Simu-

lation and Control (AMSE), 2011, Article in Press.

Nomenclature

d

d

p

axial pressure gradient Darcy number, 2

H

Da

dimensionless pressu re gra die nt, 3

2

d

d

p

u

velocity of the fluid

G

dimensionless velocity of the fluid, uH

u

total width of the channel

ydimensional co-ordinate t

dimensional time

dimensionless co-ordinate, y

dimensionless tim e , 2

t

H

yt

nindex Greek symbols

eff

effective kinematics viscosity of porous medium

Cinertia coefficient

C = dimensionless inertia coefficient,

3

3

22

n

n

CH

kinematics viscosity of fluid

ratio of kinematics viscosity

G = dimensionless axial pressure gradient

0

Umotion of the channel wall at 0y

Bdimensionless m otion of the channel wall at 0y

Kpermeability of the porous medium