化学反应时混合对流传热传质磁流体流经多孔楔形体粘度变化及热分层影响的数值研究

I·姆哈敏; R·坎达沙密; A·B·哈米什

doi:10.3879/j.issn.1000-0887.2009.11.002

化学反应时混合对流传热传质磁流体流经多孔楔形体粘度变化及热分层影响的数值研究

doi: 10.3879/j.issn.1000-0887.2009.11.002

马来西亚敦胡先翁大学科学研究中心,马来西亚

详细信息

中图分类号: O357.1
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出版历程
- 收稿日期: 2008-09-06
- 修回日期: 2009-07-09
- 刊出日期: 2009-11-15

Numerical Investigation of Variable Viscosity and Thermal Stratification Effects on MHD Mixed Convective Heat and Mass Transfer Past a Porous Wedge in the Presence of Chemical Reaction

University Tun Hussein Onn Malaysia, Centre for Science Studies, Malaysia

摘要

摘要: 在磁流体力学中，当粘滞不可压缩传热传质混合对流的导电流体，流经多孔楔形体且伴有化学反应时，对其粘度变化及热分层影响进行了分析．将楔形体壁面埋入均匀的非Darcy多孔介质中，壁面具有吸入或抽出流体的功能．通过相似变换，将边界层的控制方程写为无量纲形式．使用有限差分法，对变换后耦合的非线性常微分方程进行数值解．对无量纲参数的不同值进行数值计算时，略去三阶以上的高阶差分．图形形式给出的结果表明，这些参数对流场及其它物理量都有重要影响．与已知文献的结果比较表明，它们高度地一致．
- 可变粘度 /
- 化学反应 /
- 非Darcy流动 /
- 混合对流 /
- 热分层 /
- 磁影响
Abstract: An analys is was presented to investigate the effects of variable viscosity and thermal stratification on MHD mixed convective heat and mass transfer of a viscous, incom pressible and electrically conducting fluid past a porous wedge in the presence of chemical reaction. The wall of the wedgewas embedded in a uniform non-Darcian porousmedium in order to allow for possible fluid wall suction or in jection. The governing boundary layer equations were written into a dmiension less form by smiilarity transformations. The transformed coupled nonlinear ordinary differential equations were solved numerically by using finite difference methods. Numericalcal-culations up to third order level of truncation were carried out for different values of dmiensionless parameters. The results are presented graphically and the conclusion is drawn that the flow field and other quantities of physical interest are significantly in fluenced by these parameters. The results are compared with those known from the literature and excellent agreement between the results is obtained.
- variable viscosity /
- chemical reaction /
- non-Darcy flow /
- mixed convection /
- thermal stratification /
- magnetic effect

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参考文献(42)

[1]	Gehart B,Pera L.The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion[J].International Journal of Heat Mass Transfer,1971,14(12):2025-2032. doi: 10.1016/0017-9310(71)90026-3
[2]	Byron Bird R,Stewart Warren E,Lightfoot Edwin N.Transport Phenomena[M].New York:John Wiley and Sons,1992.
[3]	Cussler E L.Diffusion Mass Transfer in Fluid Systems[M].London:Cambridge University Press,1988.
[4]	Yih K A.Uniform suction/blowing effect on force convection about a wedge[J].Acta Mechanica,1998,128(3/4):173-182. doi: 10.1007/BF01251888
[5]	Kafoussias N G,Nanousis N D.Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection[J].Canadian Journal of Physics,1997,75(10),733-742.
[6]	Kumari M.Effect of large blowing rates on the steady laminar incompressible electrically conducting fluid over an infinite wedge with a magnetic field applied parallel to the wedge[J].International Journal of Engng Sci,1998,36:299-307. doi: 10.1016/S0020-7225(97)00064-5
[7]	Devi Anjali S P,Kandasamy R.Effects of heat and mass transfer on MHD laminar boundary layer flow over a wedge with suction or injection[J].Journal of Energy Heat and Mass Transfer,2001,23:167-178.
[8]	Yih K A.The effect of uniform suction/blowing on heat transfer of MHD Hiemenz flow through porous media[J].Acta Mech,1998,130(11):147-156. doi: 10.1007/BF01184307
[9]	Watanabe T.Thermal boundary layers over a wedge with uniform suction or injection in forced flow[J].Acta Mechanica,1990,83(3/4):119-126. doi: 10.1007/BF01172973
[10]	Chamkha A J,Khaled A R A.Similarity solutions for hydro magnetic simultaneous heat and mass transfer[J].Heat Mass Transfer,2001,37(2/3):117-125. doi: 10.1007/s002310000131
[11]	Hossian M A.Viscous and Joule heating effects on MHD free convection flow with variable plate temperature[J].Int Journal of Heat and Mass Transfer,1992,35(4):3485-3492. doi: 10.1016/0017-9310(92)90234-J
[12]	Hakiem M A EL,Mohammadeian A A,Kaheir S M M EL,et al.Joule heating effects on MHD free convection flow of a micro polar fluid[J].International Comms Heat Mass Transfer,1999,26(2):219-226. doi: 10.1016/S0735-1933(99)00008-1
[13]	Kuo Bor-lih.Heat transfer analysis for the Falkner-Skan wedge flow by the differential transformation method[J].International Journal of Heat Mass Transfer,2005,48(23/24):5036-5042. doi: 10.1016/j.ijheatmasstransfer.2003.10.046
[14]	Cheng W T,Lin H T.Non-similarity solution and correlation of transient heat transfer in laminar boundary layer flow over a wedge[J].Int J Engineering Science,2002,40(5):531-540. doi: 10.1016/S0020-7225(01)00081-7
[15]	Apelblat A.Mass transfer with a chemical reaction of the first order[J].Chemical Engineering Journal,1982,23:193-201. doi: 10.1016/0300-9467(82)80011-7
[16]	Das U N,Deka R,Soundalgekar.Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction[J].Forschung im Ingenieurwesen,1994,60(10):284-292. doi: 10.1007/BF02601318
[17]	Muthucumaraswamy R,Ganesan P.Effects of the chemical reaction and injection on flow characteristics in an unsteady upward motion of an isothermal plate[J].Journal of Applied Mechanics and Technical Physics,2001,42(4),665-673.
[18]	Kandasamy R,Periasamy K,Sivagnana Prabhu K K.Effects of chemical reaction,heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection[J].International Journal of Heat and Mass Transfer,2005,48(7):1388-1395. doi: 10.1016/j.ijheatmasstransfer.2004.10.008
[19]	Cortell R.Toward an understanding of the motion and mass transfer with chemically reactive species for two classes of viscoelastic fluid over a porous stretching sheet[J].Chemical Engineering and Processing,2007,46(10):982-989. doi: 10.1016/j.cep.2007.05.022
[20]	Cortell R.MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species[J]. Chemical Engineering and Processing,2007,46(8):721-728. doi: 10.1016/j.cep.2006.09.008
[21]	Sajid M,Hayat T.Non-similar series solution for boundary layer flow of a third-order fluid over a stretching sheet[J].Applied Mathematics and Computation,2007,189(2):1576-1585. doi: 10.1016/j.amc.2006.12.038
[22]	Cortell R.Viscous flow and heat transfer over a nonlinearly stretching sheet[J].Applied Mathematics and Computation,2007,184(2):864-873. doi: 10.1016/j.amc.2006.06.077
[23]	Herwig H,Wickern.Effects of variable properties on laminar boundary layer flow[J].Warme-und Stoffiibctragung,1986,20(1):47-54. doi: 10.1007/BF00999737
[24]	Lai E C,Kulacki F A.Effects of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium[J].International Journal of Heat and Mass Transfer,1990,33:1028-1035. doi: 10.1016/0017-9310(90)90084-8
[25]	Kafoussias N G,Williams E W.Effects of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate[J].Acta Mechanica,1995,110(1/4):123-132. doi: 10.1007/BF01215420
[26]	Hady E M,Bakier A Y,Gorla R S R.Mixed convection boundary layer flow on a continuous flat plate with variable viscosity[J].Heat and Mass Transfer,1996,31(3):169-176. doi: 10.1007/BF02333315
[27]	Gill S.A process for the step-by-step integration of differential equations in an automatic digital computing machine[J].Proceeding of Cambridge Philosophical Society，1951,47(1):96-108. doi: 10.1017/S0305004100026414
[28]	Pantokratos A.The Falkner-Skan flow with constant wall temperature and variable viscosity[J].International Journal of Thermal Sciences,2006,45(4):378-384. doi: 10.1016/j.ijthermalsci.2005.06.004
[29]	CHEN Chien-hsin.Non-Darcy mixed convection over a vertical flat plate in porous media with variable wall heat flux[J].International Communication Heat Mass Transfer,1997,24(3):427- 433. doi: 10.1016/S0735-1933(97)00028-6
[30]	Yih K A.Blowing/suction effect on non-Darcy forced convection flow about a flat plate with variable wall temperature in porous media[J].Acta Mechanica,1998,131(3/4):255-262. doi: 10.1007/BF01177229
[31]	Afify Ahmed A.Effects of variable viscosity on non-Darcy MHD free convection along a non-isothermal vertical surface in a thermally stratified porous medium[J].Applied Mathematical Modeling,2007,31(8):1621-1630. doi: 10.1016/j.apm.2006.05.002
[32]	Chamkha Ali J.Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media[J].International Communications in Heat and Mass Transfer,1996,23(6):875-882. doi: 10.1016/0735-1933(96)00070-X
[33]	Jayanthi S,Kumari M.Effect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in a non-Newtonian fluid saturated porous medium[J].Applied Mathematics and Computation,2007,182(2):1643-1659.
[34]	CHENG Ching-yang.Non-Darcy natural convection heat and mass transfer from a vertical wavy surface in saturated porous media[J].Applied Mathematics and Computation,2006,182(2):1488- 1496. doi: 10.1016/j.amc.2006.05.037
[35]	Jayanthi S,Kumari M.Effect of variable viscosity on non-Darcy free or mixed convection flow on a vertical surface in a fluid saturated porous medium[J].Mechanics Research Communication,2006,33(2):148-156. doi: 10.1016/j.mechrescom.2005.09.001
[36]	Rathish Kumar B V,Shalini M.Darcy free convection induced by a vertical wavy surface in a thermally stratified porous medium[J].International Journal of Heat Mass Transfer,2004,47:2353-2359. doi: 10.1016/j.ijheatmasstransfer.2003.11.006
[37]	Kumari M,Nath G.Non-Darcy mixed convection in power-law fluids along a non-isothermal horizontal surface in a porous medium[J].International Journal of Engineering Science,2004,42(3/4):353-361. doi: 10.1016/S0020-7225(03)00140-X
[38]	Yih K A.Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation[J].International Communications in Heat and Mass Transfer,2000,27(4):591-602. doi: 10.1016/S0735-1933(00)00141-X
[39]	Hossain M A,Kambiz Vafai,Khalil M N Khanafer.Non-Darcy natural convection heat and mass transfer along a vertical permeable cylinder embedded in a porous medium[J].International Journal of Thermal Sciences,1999,38(10):854-861. doi: 10.1016/S1290-0729(99)80040-4
[40]	AI-Odat M Q,AI-Hussien F M S,Damesh R A.Influence of radiation on mixed convection over a wedge in non-Darcy porous medium[J].Forsch Ingenieurwesen,2005,69(4):209-215. doi: 10.1007/s10010-005-0004-2
[41]	Ali Mohamed E.Effect of variable viscosity on mixed convection heat transfer along a vertical moving surface[J].International Journal of Thermal Sciences,2006,45(1):60-67. doi: 10.1016/j.ijthermalsci.2005.04.006
[42]	Elbarbary Elsayed M E,Elgazery N