We study the isothermal flow of a dusty viscous incompressible conducting fluid between two types of boundary motions-oscillatory and non-oscillatory, under the influence of gravitational force. Within the frame work of some physically realistic approximations and suitable boundary conditions, closed form solutions were obtained for the velocity profiles and the skin friction of the particulate flow. These results show that for a constant pressure gradient, only the velocity profile of the fluid and the skin friction are unaffected by gravity, while magnetic field is seen to affect both the fluid, particle velocities and the skin friction. Thus, our results are extension of previous results in literature, and graphical demonstration of some these solutions have been presented.
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D. A. Bratsun and V. S. Teplov,On the stability of the pulsed convective flow with small heavy particles, Eur. Phys. Jour. Appl. Physics,13 (2000), 219–230
P. Chandran, N. C. Sacheti and A. K. Singh,On laminar boundary layer flow of electrically conducting liquids near an accelerated vertical plate, Phys. chem. liq.,40(3) (2002), 241–254.
E. M. Erdogan,A note on an unsteady flow of viscous fluid due to an oscillating place wall, Int. journal of Non linear Mechanics,35 (2002), 1–6.
G. K. Ganguly and S. Lahiri,Oscillatory motion of dusty viscous incompressible fluid between two parallel plates, Indian journal of theoretical Physics,41(2) (1992), 91–95.
M. Gachpazan, A. Karayechian and A. V. Kamyad,A New Method for Solving Nonlinear Second Order Partial Differential Equations, J. Appl. Math. and Computing (old:KJCAM)7(2) (2000), 453–465.
K. Halder,Application of Adomian's approximation to blood flow through arteries in the presence of a magnetic field, J. Appl. Math. and Computing (old:KJCAM)12(2) (2003), 267–279.
J. M. Hill, A. J. Avagliano and M. P. Edward,Some exact results of nonlinear diffusion with absorbtion, IMA Journal of Applied Mathematics,48 (1992), 283–304.
D. V. Lyubimov, D. A. Bratsun, T. P. Lyubimova B. Roux and V. S. Teplov,Non-isothermal flows of dusty media, Third International Conference on Multiphase Flow, ICMF98, Lyon, France, (1998). 1–5.
P. G. Saffman,On the stability of laminar flow of a dusty gas, Jour. Fluid Mech.,13 (1962), 120–128.
V. M. Soundalgekar and Bhat, J. P.,Laminar convection through porous medium between two vertical parallel plates, Bull. Cal. Math. Soc.82 (1990), 93–98.
I. J. Uwanta,Oscillatory free convection flow of a Conducting fluid with a suspension of spherical particles, Direction in Mathematics (Edited by G.O.S. Ekhaguere and O. Ugbebor), Associated Book Makers Nig. Ltd. (1999), 159–167.
F. M. White,Fluid Mechanics, McGraw-Hill, New York, Third Edition, 1994.
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Ajadi, S.O. A note on the unsteady flow of dusty viscous fluid between two parallel plates. JAMC 18, 393–403 (2005). https://doi.org/10.1007/BF02936582
AMS Mathematics Subject Classification
Key words and phrases
- Incompressible fluid, isothermal flow
- skin friction particulate flow