Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime

R. C. Chaudhary; Abhay Kumar Jha

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(9): 1069-1082

R. C. Chaudhary, Abhay Kumar Jha. Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1069-1082.

Citation:

R. C. Chaudhary, Abhay Kumar Jha. Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1069-1082.

Citation:

R. C. Chaudhary, Abhay Kumar Jha. Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1069-1082.

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Effects of Chemical Reaction on MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime

Department of Mathematics, University of Rajasthan, Jaipur-302004, Indian

Received Date: 2007-03-12
Rev Recd Date: 2008-06-29
Publish Date: 2008-09-15

Abstract

Abstract

Heat and mass transfer effects on unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in slip-flow regime was studied, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field acts perpendicular to the porous surface which absorbs the micropolar fluids with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using approximate method the expression for the velocity microrotation, temperature and concentration were obtained. Also the results of the skin friction coefficient, the couple stress coefficient, the rate of heat and mass transfer at the wall were presented with various values of fluid properties and flow conditions.
- micropolar fluid,
- microrotation,
- chemical reaction,
- slip-flow,
- magnetohydrodynamics,
- heat and mass transfer

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References(22)

References

[1]	Eringen A C.Simple microfluids[J].Internat J Engng Sci,1964,2(2):205-217. doi: 10.1016/0020-7225(64)90005-9
[2]	Eringen A C.Theory of micropolar fluids[J].J Math Mech,1996,16(1):1-18.
[3]	Eringen A C.Theory of Termomicrofluids[J].J Math Anal Appl,1972,38(9):480-496. doi: 10.1016/0022-247X(72)90106-0
[4]	Ariman T,Turk M A,Sylvester N D.Microcontinuum fluid mechanics—a review[J].Internat J Engng Sci,1973,11(8):905-930. doi: 10.1016/0020-7225(73)90038-4
[5]	Gorla R S R.Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux[J].Internat J Engng Sci,1992,30(3):349-358. doi: 10.1016/0020-7225(92)90080-Z
[6]	Rees D A S,Pop I.Free convection boundary layer flow of a micropolar fluid from a vertical flat plate[J].IMAJ Appl Math,1998,61(2):179-197. doi: 10.1093/imamat/61.2.179
[7]	Singh Ajay Kumar.Numerical solution of unsteady free convection flow of an incompressible micropolar fluid past an infinite vertical plate with temperature gradient dependent heat source[J].J Energy Heat and Mass Transfer,2002,24：185-194.
[8]	Hiremath P S,Patil P M.Free convection effects on oscillatory flow of couple stress field through a porous medium[J].Acta Mech,1993,98(1/4):143-158. doi: 10.1007/BF01174299
[9]	Helmy K A.MHD unsteady free convection flow past a vertical porous plate[J].ZAMM,1998,78(4):255-270. doi: 10.1002/(SICI)1521-4001(199804)78:4<255::AID-ZAMM255>3.0.CO;2-V
[10]	El-Hakiem M A,Mohammadein A A,El-Kabeir,et al.Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid[J].Internat Comm Heat Mass Tran,1999,26(2):219-227. doi: 10.1016/S0735-1933(99)00008-1
[11]	El-Amin M F.Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction[J].J Magn Mater,2001,234(3):567-574. doi: 10.1016/S0304-8853(01)00374-2
[12]	Kim Y J.Unsteady convection flow of micropolar fluids past a vertical plate embedded in a porous medium[J].Acta Mech,2001,148(1/4):105-116. doi: 10.1007/BF01183672
[13]	Kim Y J.Heat and mass transfer in MHD micropolar flow over a vertical moving plate in a porous medium[J].Trans Porous Media,2004,56(1):17-37. doi: 10.1023/B:TIPM.0000018420.72016.9d
[14]	Khandelwal K Anil, Gupta Poonam,Jain N C.Effects of couple stresses on the flow through a porous medium with variable permeability in slip flow regime[J].Ganita,2003,54(2):203-212.
[15]	Sharma P K,Chaudhary R C.Effect of variable suction on transient free convective viscous incompressible flow past a vertical plate with periodic temperature variations in slip flow regime[J].Emirates Journal of Engineering Research,2003,8(2):33-38.
[16]	Sharma P K.Influence of periodic temperature and concentration on unsteady free convective viscous incompressible flow and heat transfer past a vertical plate in slip-flow regime[J].Mathematicas，2005,8(1):51-62.
[17]	Cussler E L.Diffusion Mass Transfer in Fluid Systems[M].2nd Ed.Cambridge,U K:Cambridge University Press,1998.
[18]	Das U N,Deka R K,Soundalgekar V M.Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction[J].Forschung im Engenieurwesen Engineering Research Co,1994,60(10):284-287.
[19]	Muthucumarswamy R,Ganesan P.First order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux[J].Acta Mech,2001,147(1/4):45-57. doi: 10.1007/BF01182351
[20]	Muthucumarswamy R.Effects of a chemical reaction on moving isothermal vertical surface with suction[J].Acta Mech,2002,155(1/2):65-70. doi: 10.1007/BF01170840
[21]	Kandasamy R,Periasamy K,Prashu Sivagnana K K.Effects of chemical reaction, heat and mass transfer along wedge with heat source and concentration in the presence of suction or injection[J].Internat J Heat Mass transfer,2005,48(7):1388-1394. doi: 10.1016/j.ijheatmasstransfer.2004.10.008
[22]	Rees D A S,Bassom A P.The Blasisum boundary layer flow of microppolar fluid[J].Internat Engng Sci,1996,34(1):113-124. doi: 10.1016/0020-7225(95)00058-5