Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids
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摘要: 粘性流体间夹有多孔介质,流经壁面温度等温的水平管道时,研究其非定常振荡流动及其热传导问题.多孔介质中的流动采用Brinkman方程模型.通过集中非周期项和周期项,将偏微分的控制方程转化为常微分方程,并利用边界和界面条件,找到了每个区间的闭式解.数值计算了各种物理参数,如多孔性参数、频率参数、周期频率参数、粘度比、热传导速度比和Prandtl数,对速度和温度场的影响,并给出相应的图形.此外,导出了壁顶和壁底处的Nusselt数并用表格列出.Abstract: The problem of unsteady oscillatory flow and heat transfer of porousmedia sandwiched between viscous fluids through a horizontal channel with isothermal wall temperatures was considered.The flow in the porous medium was modeled using Brinkm an equation.The governing partial differential equations were transformed to ordinary differential equations by collecting the non-periodic and periodic terms and closed-formsolutions for each region were found after applying the boundary and interface conditions.The influence of physical parameters such as porous parameter,frequency parameter,periodic frequency parameter,viscosity ratios,conductivity ratios and Prandtl number on the velocity and tem perature fields were computed numerically and presented graphically.In addition,the numerical values of the heat transfer rate at the top and bottom walls are derived and were tabulated.
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Key words:
- unsteady /
- porous medium /
- mimiscible fluids /
- horizontal channel /
- analytical solutions
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[1] Ostrach S. Low-gravity fluid flows[J]. Ann Rev Fluid Mech, 1982,14: 313-345. doi: 10.1146/annurev.fl.14.010182.001525 [2] Langlois W E. Buoyancy-driven flows in crystal-growth melts[J]. Ann Rev Fluid Mech, 1985, 17: 191-215. doi: 10.1146/annurev.fl.17.010185.001203 [3] Schwabe D. Surface-tension-driven flow in crystal growth metals[J]. Crystal, 1986,11: 848-852. [4] Sparrow E M, Azevedo L F A, Prata A T. Two-fluid and single-fluid natural convection heat transfer in an enclosure[J]. ASME J Heat Transfer, 1986,108(4): 848-852. doi: 10.1115/1.3247022 [5] Kimura T, Heya N, Takeuchi M, Isomi H. Natural convection heat transfer phenomena in an enclosure filled with two stratified fluids[J]. JSME,B, 1986,52: 617-625. doi: 10.1299/kikaib.52.617 [6] Bethancourt L A M, Hashiguchi M, Kuwahara K, Hyun J M. Natural convection of a two-layer fluid in a side-heated cavity[J]. Int J Heat Mass Transfer, 1999,42(13): 2427-2437. doi: 10.1016/S0017-9310(98)00311-1 [7] Alazmi B, Vafai K. Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer[J]. Int J Heat Mass Transfer, 2001, 44 (9): 1735-1749. doi: 10.1016/S0017-9310(00)00217-9 [8] Kuznetsov A V. Analytical studies of forced convection in partly porous configurations[C] Vafai K. Handbook of Porous Media. New York: Marcel Dekker, 2000: 269-312. [9] Vafai K, Kim S J. Fluid Mechanics of the interface region between a porous medium and a fluid layer: an exact solution[J]. Int J Heat Fluid Flow, 1990,11(3):254-256. doi: 10.1016/0142-727X(90)90045-D [10] Kuznetsov A V, Vafai K. Development and investigation of three-phase model of the mushy zone for analysis of porosity formation in solidifying castings[J]. Int J Heat Mass Transfer, 1995, 38(14): 2557-2567. doi: 10.1016/0017-9310(95)00012-X [11] Muralidhar K, Suzuki K. Analysis of flow and heat transfer in a regenerator mesh using a non-Darcy thermally non-equilibrium model[J]. Int J Heat Mass Transfer, 2001, 44(13): 2493-2504. doi: 10.1016/S0017-9310(00)00285-4 [12] Kelin H, Eigenberger G. Approximate solutions for metallic regenerative heat exchangers[J]. Int J Heat Mass Transfer, 2001, 44 (18): 3553-3563. doi: 10.1016/S0017-9310(01)00010-2 [13] Umavathi J C, Palaniappan D. Oscillatory flow of unsteady Oberbeck convection in an infinite vertical porous medium[J]. AMSE, 2000, 69: 35-60. [14] Malashetty M S, Umavathi J C, Kumar J Prathap. Convective flow and heat transfer in a composite medium[J]. J Porous Media, 2001, 4: 15-22. [15] Malashetty M S, Umavathi J C, Kumar J Prathap. Two fluid flow and heat transfer in an inclined channel containing porous and fluid layer[J]. Heat Mass Transfer, 2004, 40(11): 871-876. doi: 10.1007/s00231-003-0492-2 [16] Malashetty M S, Umavathi J C, Kumar J Prathap. Flow and heat transfer in an inclined channel containing a fluid layer sandwiched between two porous layers[J]. J Porous Media, 2005, 8(5):443-453. doi: 10.1615/JPorMedia.v8.i5.30 [17] Malashetty M S, Umavathi J C, Kumar J Prathap. Flow and heat transfer in an inclined channel containing a porous layer sandwiched between two fluid layers[J]. AMSE, 2005, 74: 19-35. [18] Umavathi J C, Mateen Abdul, Chamkha A J, Al-Mudhaf A. Oscillatory flow and heat transfer in a horizontal composite porous medium[J]. Int J Heat Technology, 2006, 24: 75-86. [19] Lohrasbi J, Sahai V. Magnetohydrodynamic heat transfer in two phase flow between parallel plates[J]. Appl Sci Res, 1987, 45 (1): 53-66.
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