非Newton流体在多孔介质中沿竖直面作自由对流时应力屈服和Soret效应对其传热/传质的影响

F·S·易卜拉欣; F·M·哈代; S·M·阿布德尔-盖德; M·R·伊德

doi:10.3879/j.issn.1000-0887.2010.06.002

非Newton流体在多孔介质中沿竖直面作自由对流时应力屈服和Soret效应对其传热/传质的影响

doi: 10.3879/j.issn.1000-0887.2010.06.002

艾斯尤特大学理学院数学系, 艾斯尤特 71515, 埃及;2.艾斯尤特大学教育学院科学与数学系, 新谷 72111, 埃及

详细信息

中图分类号: O357.1
计量
- 文章访问数: 1324
- HTML全文浏览量: 110
- PDF下载量: 813
- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-01-13
- 刊出日期: 2010-06-15

Influence of Chemical Reaction on Heat and Mass Transfer of Non-Newtonian Fluid With Yield Stress by Free Convection From a Vertical Surface in Porous Medium Considering Soret Effect

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt;

摘要

摘要: 对饱和的非Newton幂律流体，流经多孔介质中竖直平板时的自由对流，在出现应力屈服和Soret效应时，研究化学反映对传热/传质的影响．用相似变换，将边界层控制方程及其边界条件转换为无量纲的形式，然后通过有限差分法求解该方程．给出并讨论了浓度曲线，以及本问题各种参数值时的Nusselt数和Sherwood数．发现化学反应参数γ、化学反应级m、Soret数Sr、浮力比N、Lewis数Le及无量纲流变参数Ω对流场有着显著的影响．
- 非Newton流体 /
- 自由对流 /
- 化学反应 /
- 屈服应力 /
- Soret效应
Abstract: The effect of chemical reaction on free convection heat and mass trans fer for non-New tonian power law fluid overa vertical flat plate embedded in a fluid saturated porous medium was studied in the presence of yield stress and Soreteffect. The governing boundary layer equations and boundary conditions were cast in to a dimension less form by smiilarity tran sformations and the resulting system of equations was solved by a finite difference method. Results are presented and discussed for concentration profiles, as well as the Nusselt and Sherwood numbers for various values of the parameters, which govern the problem. The results obtained show that the flow field is in fluenced appreciably by the presence of chemical reaction parameter, order of chemical reaction parameterm, Soret number S_r, buoyancy ratio N, Lew is number Le, and dmiension less rheological parameter.
- non-New tonian fluid /
- free convection /
- chemical reaction /
- yield stress /
- Soret effect

HTML全文

参考文献(34)

[1]	Kandasamy R, Anjali Devi S P. Effects of chemical reaction, heat and mass transfer on non-linear laminar boundary-layer flow over a wedge with suction or injection[J]. Comput Appl Mech, 2004, 5(1): 21-31.
[2]	Takhar H S, Chamkha A J, Nath G. Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species[J]. Int J Eng Sci, 2000, 38(12): 1303-1314. doi: 10.1016/S0020-7225(99)00079-8
[3]	Chamkha A J. MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and chemical reaction[J]. Int Comm Heat Mass Transf, 2003, 30(3): 413-422. doi: 10.1016/S0735-1933(03)00059-9
[4]	Muthucumaraswamy R, Ganesan P. Natural convection on a moving isothermal vertical plate with chemical reaction[J]. Eng Phys Thermophys, 2002, 75(1): 113-119. doi: 10.1023/A:1014826924926
[5]	Muthucumaraswamy R. Effects of a chemical reaction on a moving isothermal vertical surface with suction[J]. Acta Mech, 2002, 155(1/2): 65-70. doi: 10.1007/BF01170840
[6]	Muthucumaraswamy R. Effects of chemical reaction on moving isothermal vertical plate with variable mass diffusion[J]. Theoret Appl Mech, 2003, 30(3): 209-220.
[7]	Yih K A. Coupled heat and mass transfer by free convection over a truncated cone in porous media VWT/VWC or VHF/VMF[J].Acta Mech, 1999, 137(1/2): 83-97. doi: 10.1007/BF01313146
[8]	Singh P, Queeny. Free convection heat and mass transfer along a vertical surface in a porous medium[J]. Acta Mech, 1997, 123(1/4): 69-73. doi: 10.1007/BF01178401
[9]	Muthucumaraswamy R, Kulandaivel T. Chemical reaction effects on moving infinite vertical plate with uniform heat flux and variable mass diffusion[J]. Forschung im Ingenieurwesen, 2003, 68(2): 101-104. doi: 10.1007/s10010-003-0112-9
[10]	Kandasamy R, Periasamy K, Prabhu K K S. Effects of chemical reaction,heat and mass transfer along a wedge with heat source and concentration in the presence of suction or injection[J]. Int J Heat Mass Transf, 2005, 48(7): 1388-1394. doi: 10.1016/j.ijheatmasstransfer.2004.10.008
[11]	Kandasamy R, Periasamy K, Prabhu K K S. Chemical reaction,heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects[J].Int J Heat Mass Transf, 2005, 48(21/22): 4557-4561. doi: 10.1016/j.ijheatmasstransfer.2005.05.006
[12]	Abreu C R A, Alfradique M F, Telles A S. Boundary layer flows with Dufour and Soret effects Ⅰ—forced and natural convection[J].Chem Eng Sci, 2006, 61(13): 4282-4289. doi: 10.1016/j.ces.2005.10.030
[13]	Cheng C Y. An integral approach for hydromagnetic natural convection heat and mass transfer from vertical surfaces with power-law variation in wall temperature and concentration in porous media[J]. Int Comm Heat Mass Transf, 2005, 32(1/2): 204-213. doi: 10.1016/j.icheatmasstransfer.2004.04.033
[14]	Postelnicu A. Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects[J].Heat Mass Transf, 2007, 43(6): 595-602. doi: 10.1007/s00231-006-0132-8
[15]	Ibrahim F S, Elaiw A M, Bakr A A. Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi infinite vertical permeable moving plate with heat source and suction[J]. Comm Nonlinear Sci Numer Simulat, 2008, 13(6):1056-1066. doi: 10.1016/j.cnsns.2006.09.007
[16]	Rastogi S K, Poulikakos D. Double-diffusion from a vertical surface in a porous region saturated with a non-Newtonian[J].Int J Heat Mass Transf, 1995, 138(5): 935-946.
[17]	Prasad K V, Abel S, Datti P S. Diffusion of chemically reactive species of a non-Newtonian fluid immersed in a porous medium over a stretching sheet[J].Int J Non-Linear Mech, 2003, 38(5): 651-657. doi: 10.1016/S0020-7462(01)00122-6
[18]	Eldabe N T, El-Saka A G, Fouad A. Thermal-diffusion and diffusion-thermo effects on mixed free-forced convection and mass transfer boundary layer flow for non-Newtonian fluid with temperature dependent viscosity[J]. Appl Math Comput, 2004, 152(3): 867-883. doi: 10.1016/S0096-3003(03)00603-9
[19]	Elperin T, Fominykh A, Orenbakh Z. Mass transfer with heterogeneous chemical reaction in a Glauert flow of non-Newtonian fluid[J].Int J Heat Mass Transf, 2004, 47(14/16): 3573-3576. doi: 10.1016/j.ijheatmasstransfer.2004.03.003
[20]	Abo-Eldahab E M, Salem A M. MHD flow and heat transfer of non-Newtonian power-law fluid with diffusion and chemical reaction on a moving cylinder[J]. Heat Mass Transf, 2005, 41(8): 703-708. doi: 10.1007/s00231-004-0592-7
[21]	Hayat T, Abbas Z, Sajid M. Heat and mass transfer analysis on the flow of a second grade fluid in the presence of chemical reaction[J]. Phys Letters A, 2008, 372(14): 2400-2408. doi: 10.1016/j.physleta.2007.10.102
[22]	Patil P M, Kulkarni P S. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation[J].Int J Thermal Sci, 2008, 47(8): 1043-1054. doi: 10.1016/j.ijthermalsci.2007.07.013
[23]	Barnes H A, Walters K. The yield stress myth[J]. Rheol Acta, 1985, 24(4): 323-326. doi: 10.1007/BF01333960
[24]	Zhang J, Vola D, Frigaard I A. Yield stress effects on Rayleigh-Bénard convection[J]. Fluid Mech, 2006, 566: 389-419 . doi: 10.1017/S002211200600200X
[25]	Christensen R M. Observations on the definition of yield stress[J].Acta Mech, 2008, 196(3): 239-244. doi: 10.1007/s00707-007-0478-0
[26]	Jumah R Y, Mujumdar A S. Free convection heat and mass transfer of non-Newtonian power law fluids with yield stress from a vertical flat plate in saturated porous media[J].Int Comm Heat Mass Transf, 2000, 27(4): 485-494. doi: 10.1016/S0735-1933(00)00131-7
[27]	Zhu H, Kim Y D, De Kee D. Non-Newtonian fluids with a yield stress[J]. Non-Newtonian Fluid Mech, 2005, 129(3): 177-181. doi: 10.1016/j.jnnfm.2005.06.001
[28]	Zhu H, De Kee D. A numerical study for the cessation of Couette flow of non-Newtonian fluids with a yield stress[J]. Non-Newtonian Fluid Mech, 2007, 143(2/3): 64-70. doi: 10.1016/j.jnnfm.2007.01.006
[29]	Merrill E W, Cheng C S, Pelletier G A. Yield stress of normal human blood as a function of endogenous fibrinogen[J]. J Appl Physiol, 1969, 26(1): 1-3.
[30]	Lemaire E, Bossis G. Yield stress and wall effects in magnetic colloidal suspensions[J]. J Phys D: Appl Phys, 1991, 24(8): 1473-1477. doi: 10.1088/0022-3727/24/8/037
[31]	Boissy C, Wu C W, Fahmy Y, Conrad H. Experimental study of the yield stress of electrorheological suspensions under AC field comparison with a theoretical model[J]. Int J Modern Phys, 1999, 13(14):1775-1782. doi: 10.1142/S0217979299001788
[32]	Curran S J, Hayes R E, Afacan A, Williams M C. Experimental mixing study of a yield stress fluid in a laminar stirred tank[J]. Ind Eng Chem Res, 2000, 39(1): 195-202. doi: 10.1021/ie990468e
[33]	Ko Y G, Choi U S, Sung B H. Chemical structure designing to enhance the yield stress of electrorheological fluids based on modified chitosan compounds[J].Inc J Appl Polym Sci, 2004, 93(4): 1559-1566. doi: 10.1002/app.20632
[34]	Nigen S. Experimental investigation of the impact of an (apparent) yield-stress material[J]. J Atomiz Spr, 2005, 15(1): 103-118. doi: 10.1615/AtomizSpr.v15.i1.60