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外形任意的多孔介质轴对称物体中充满非Newton幂律流体时的自然对流

S·M·阿布德尔盖德 M·R·伊德

S·M·阿布德尔盖德, M·R·伊德. 外形任意的多孔介质轴对称物体中充满非Newton幂律流体时的自然对流[J]. 应用数学和力学, 2011, 32(2): 171-179. doi: 10.3879/j.issn.1000-0887.2011.02.005
引用本文: S·M·阿布德尔盖德, M·R·伊德. 外形任意的多孔介质轴对称物体中充满非Newton幂律流体时的自然对流[J]. 应用数学和力学, 2011, 32(2): 171-179. doi: 10.3879/j.issn.1000-0887.2011.02.005
S. M. Abdel-Gaied, M. R. Eid. Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium[J]. Applied Mathematics and Mechanics, 2011, 32(2): 171-179. doi: 10.3879/j.issn.1000-0887.2011.02.005
Citation: S. M. Abdel-Gaied, M. R. Eid. Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium[J]. Applied Mathematics and Mechanics, 2011, 32(2): 171-179. doi: 10.3879/j.issn.1000-0887.2011.02.005

外形任意的多孔介质轴对称物体中充满非Newton幂律流体时的自然对流

doi: 10.3879/j.issn.1000-0887.2011.02.005
详细信息
  • 中图分类号: O357.1

Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium

  • 摘要: 在一个轴对称、外形任意的多孔介质二维体中,充满了有屈服应力的非Newton幂律流体时,数值分析其自由对流及其传热/传质问题.利用相似变换,将边界层控制方程及其边界条件变换为无量纲形式,然后用有限差分法求解该方程组.所研究的参数为流变常数、浮力比和Lewis数.给出并讨论了典型的速度、温度及浓度曲线.发现屈服应力参数值和非Newton流体的幂律指数对结果有着显著的影响.
  • [1] Mohanty H K. Similarity solutions of unsteady laminar, incompressible boundary layer equations for flow, heat and mass transfer in non-Newtonian fluids around axisymmetric bodies[J]. Rheologica Acta, 1978, 17(4): 342-352. doi: 10.1007/BF01525950
    [2] Hassanien I A, Hady F M. Hydromagnetic free convection and mass transfer flow of non-Newtonian fluid through a porous medium bounded by an infinite vertical limiting surface with constant suction[J]. Astrophysics Space Science, 1985, 116(1):141-148. doi: 10.1007/BF00649280
    [3] Nakayama A, Koyama H. An analysis for friction and heat transfer characteristics of power-law non-Newtonian fluid flows past bodies of arbitrary geometrical configuration[J]. Heat and Mass Transfer, 1988, 22(1/2): 29-36.
    [4] Kawase Y. Particle-fluid heat/mass transfer: Newtonian and non-Newtonian fluids[J]. Heat and Mass Transfer, 1992, 27(2): 73-76.
    [5] Yang Y T, Wang S J. Free convection heat transfer of non-Newtonian fluids over axisymmetric and two-dimensional bodies of arbitrary shape embedded in a fluid-saturated porous medium[J]. International Journal of Heat and Mass Transfer, 1996, 39(1): 203-210. doi: 10.1016/S0017-9310(96)85016-2
    [6] Pascal J P, Pascal H. Free convection in a non-Newtonian fluid saturated porous medium with lateral mass flux[J]. International Journal of Non-Linear Mechanics, 1997, 32(3): 471-482. doi: 10.1016/S0020-7462(96)00078-9
    [7] 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]. International Communication in Heat and Mass Transfer, 2000, 27(4): 485-494. doi: 10.1016/S0735-1933(00)00131-7
    [8] Wang S C, Chen C K, Yang Y T. Natural convection of non-Newtonian fluids through permeable axisymmetric and two-dimensional bodies in a porous medium[J]. International Journal of Heat and Mass Transfer, 2002, 45(2): 393-408. doi: 10.1016/S0017-9310(01)00123-5
    [9] Ibrahim F S, Mansour M A, Abdel-Gaied S M. Radiative and thermal dispersion effects on non-Darcy natural convection with lateral mass flux for non-Newtonian fluid from a vertical flat plate in a saturated porous medium[J]. Transport in Porous Media, 2005, 61(1): 45-57. doi: 10.1007/s11242-004-6142-4
    [10] Cheng C Y. Natural convection heat and mass transfer of non-Newtonian power law fluids with yield stress in porous media from a vertical plate with variable wall heat and mass fluxes[J]. International Communication in Heat and Mass Transfer, 2006, 33(9): 1156-1164. doi: 10.1016/j.icheatmasstransfer.2006.06.006
    [11] Cheng C Y. Double diffusion from a vertical wavy surface in a porous medium saturated with a non-Newtonian fluid[J]. International Communication in Heat and Mass Transfer, 2007, 34(3): 285-294. doi: 10.1016/j.icheatmasstransfer.2006.09.006
    [12] Cheng C Y. Double-diffusive natural convection along a vertical wavy truncated cone in non-Newtonian fluid saturated porous media with thermal and mass stratification[J]. International Communication in Heat and Mass Transfer, 2008, 35(8): 985-990. doi: 10.1016/j.icheatmasstransfer.2008.04.007
    [13] Hayat T, Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet[J]. International Journal of Heat and Mass Transfer, 2007, 50(1/2): 75-84. doi: 10.1016/j.ijheatmasstransfer.2006.06.045
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出版历程
  • 收稿日期:  2010-10-15
  • 修回日期:  2010-11-18
  • 刊出日期:  2011-02-15

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