流经有热源多孔平板并伴有化学反应的传热传质混合对流MHD流动

J·祖额科; S·阿么德

doi:10.3879/j.issn.1000-0887.2010.10.003

流经有热源多孔平板并伴有化学反应的传热传质混合对流MHD流动

doi: 10.3879/j.issn.1000-0887.2010.10.003

J·祖额科¹,
S·阿么德²

1.
卡塔赫纳综合技术大学流体工程技术系工业工程ETS,卡塔赫纳木尔西亚, 西班牙;
戈阿尔帕拉学院数学系流体动力学研究所,阿萨姆邦-783101戈阿尔帕拉,印度

详细信息

中图分类号: O361
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-07-28
- 刊出日期: 2010-10-15

Combined Heat and Mass Transfer by Mixed Convection MHD Flow Along a Porous Plate With Chemical Reaction in Presence of Heat Source

Joaqu韓 Zueco¹,
Sahin Ahmed²

1.
ETS Ingenier韆 Industrial, Departamento de Ingenier韆 Térmicay Fluidos, Universidad Politécnica de Cartagena, 30202, Cartagena (Murcia), Spain;
Fluid Dynamics Research, Department of Mathematics, Goalpara College, Goalpara, Assam-783101, India

摘要

摘要: 对流经无限竖直多孔平板的不可压缩粘性导电流体，稳定的传热传质混合对流MHD流动问题，给出了精确解和数值解．假定均匀磁场横向作用于流动方向，考虑了感应磁场及其能量的粘性和磁性损耗．多孔平板有恒定的吸入速度并均匀地混入流动速度．用摄动技术和数值方法求解控制方程．得到了平板上速度场、温度场、感应磁场、表面摩擦力和传热率的分析表达式．相关参数取不同数值时，用图形表示出问题的数值结果．讨论了从平板到流体的Hartmann数、化学反应参数、磁场的Prandtl数，以及包括速度场、温度场、浓度场和感应磁场等其它参数的影响．可以发现，热源/汇或Eckert数的增大，极大地提高了流体的速度值．x-方向的感应磁场随着Hartmann数、磁场的Prandtl数、热源/汇和粘性耗散的增大而增大．但是，研究表明，随着破坏性化学反应(K＞0)的增大，流动速度、流体温度和感应磁场将减小．对色谱分析系统和材料加工的磁场控制，该研究在热离子反应堆模型、电磁感应、磁流体动力学传输现象中得到了应用．
- MHD /
- 摄动技术 /
- 网络模拟法 /
- 混合对流 /
- Eckert数 /
- 感应磁场 /
- 粘性耗散 /
- 热源/汇
Abstract: An exact and numerical solution to the problem of a steady mixed convective MHD flow of an incompressible viscous electrically conducting fluid past an infinite vertical porous plate with combined heat and mass transfer was presented.A uniform magnetic field was assumed to be applied transversely to the direction of the flow, taking into account the induced magnetic field with viscous and magnetic dissipations of energy.The porous plate was subjected to a constant suction velocity as well as uniform mixed stream velocity.The governing equations were solved by perturbations technique and numerical method.The analytical expressions for the velocity field, temperature field, induced magnetic field, skin-friction and the rate of heat transfer at the plate were obtained.The numerical results were demonstrated graphically for the various values of the parameters involved in the problem.The effects of the Hartmann number, the chemical reaction parameter, the magnetic Prandtl number, and the other parameters involved on the velocity field, temperature field, concentration field and induced magnetic field from the plate to the fluid were discussed.An increase in heat source/sink or Eckert number was found to strongly enhance fluid velocity values.The induced magnetic field along x-direction increases with the increase in Hartmann number, magnetic Prandtl number, heat source/sink and the viscous dissipation.However, it is found that the flow velocity, fluid temperature, and induced magnetic field decrease with the increase in destructive chemical reaction(K0).Applications of the study arise in thermal plasma reactor modelling, electromagnetic induction, magnetohydrodynamic transport phenomena in chromatographic systems and magnetic field control of materials processing.
- MHD /
- perturbation technique /
- network simulation method /
- mixed convection /
- Eckert number /
- induced magnetic field /
- viscous dissipation /
- heat source/sink

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参考文献(21)

[1]	Ganesan P, Loganathan P. Heat and mass flux effects on a moving vertical plate with chemically reactive species diffusion[J]. Diffusion J Engineering Phys and Thermophys, 2002, 75(4): 899-909. doi: 10.1023/A:1020367102891
[2]	Ghaly A Y, Seddeek M A. Chebyshev finite difference method for the effects of chemical reaction, heat and mass transfer on laminar flow along a semi-infinite horizontal plate with temperature dependent viscosity[J]. Chaos Solutions & Fractals, 2004, 19(1): 61-70.
[3]	Muthucumaraswamy R, Ganesan P. Natural convection on a moving isothermal vertical plate with chemical reaction[J]. J Engineering Phys Thermophys, 2002, 75(1): 113-119. doi: 10.1023/A:1014826924926
[4]	Hossain M A, Hussain S, Rees D A S. Influence of fluctuating surface temperature and concentration on natural convection flow from a vertical flat plate[J]. ZAMM, 2001, 81(10): 699-709.
[5]	Khair K R, Bejan A. Mass transfer to natural convection to boundary layer flow driven by heat transfer[J]. J Heat Transfer, 1985, 107:979-981. doi: 10.1115/1.3247535
[6]	Lin H T, Wu C M. Combined heat and mass transfer by laminar natural convection from a vertical plate[J]. Heat and Mass Transfer, 1995, 30(6): 369-376. doi: 10.1007/BF01647440
[7]	Muthucumaraswamy R, Ganesan P, Soundalgekar V M. Heat and mass transfer effects on flow past an impulsively started vertical plate[J]. Acta Mechanica, 2001, 146(1/2): 1-8. doi: 10.1007/BF01178790
[8]	Chamkha A J. MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction[J]. Int Communication in Heat and Mass Transfer, 2003, 30(3): 413-422. doi: 10.1016/S0735-1933(03)00059-9
[9]	Chen C H. Combined heat and mass transfer in MHD free convection from a vertical plate Ohmic heating and viscous dissipation[J]. Int J Eng Sci, 2004, 42(7): 699-713. doi: 10.1016/j.ijengsci.2003.09.002
[10]	Aldoss T K, Al-Nimir M A. Effect of the local acceleration term on the MHD transient free convection flow over a vertical plate[J]. Int J for Numerical Methods for Heat Fluid Flow, 2005, 15(3): 296-305. doi: 10.1108/09615530510583883
[11]	Ahmed S. Effects of viscous dissipation and chemical reaction on transient free convective MHD flow over a vertical porous plate[J]. J of Energy, Heat and Mass Transfer, 2010, 32: 311-332.
[12]	Ahmed S. Free and forced convective three-dimensional flow with heat and mass transfer[J]. Int J Applied Mathematics and Mechanics, 2009, 5(1): 26-38.
[13]	Ahmed S. Transient three-dimensional flows through a porous medium with transverse permeability oscillating with time[J]. Emirates Journal for Engineering Research, 2008, 13(3): 11-17.
[14]	Ahmed S. Free and forced convective MHD oscillatory flows over an infinite porous surface in an oscillating free stream[J]. Latin American Applied Research, 2010, 10: 167-173.
[15]	Zueco-Jordn J. Numerical study of an unsteady free convective MHD flow of a dissipative fluid along a vertical plate subject to a constant heat flux[J]. Int J Engineering Science, 2006, 44(18/19): 1380-1393. doi: 10.1016/j.ijengsci.2006.08.006
[16]	Ahmed S, Liu I-Chung. Mixed convective three-dimensional heat and mass transfer flow with transversely periodic suction velocity[J]. Int J Applied Mathematics and Mechanics, 2010, 6(1): 58-73.
[17]	Nayfeh A, Namat-Nasser S. Electromagneto-thermoelastic plane waves in solids with thermal relaxation[J]. J Appl Mech Ser E, 1972, 39: 108. doi: 10.1115/1.3422596
[18]	Zueco J. Network method to study the transient heat transfer problem in a vertical channel with viscous dissipation[J]. Int Comm Heat Mass Transfer, 2006, 33(9): 1079-1087. doi: 10.1016/j.icheatmasstransfer.2006.06.009
[19]	Zueco J, Hernández-González A. Network simulation method applied to models of diffusion-limited gas bubble dynamics in tissue[J]. Acta Astronautica, 2010, 67(3/4): 344-352. doi: 10.1016/j.actaastro.2010.03.007
[20]	Zueco J, Bég O A. Network numerical analysis of hydromagnetic squeeze film between rotating disks over a wide range of Batchelor numbers[J]. Tribology International, 2010, 43(3): 532-543. doi: 10.1016/j.triboint.2009.09.002
[21]	Pspice 6.0. Irvine, California 92718. Microsim Corporation, 20 Fairbanks, 1994.