Effect of Thermal Conductivity on Heat Transfer for a Power-Law Non-Newtonian Fluid Over a Continuous Stretched Surface With Various Injection Parameter
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摘要: 在一个具有吸入/吹出功能、幂律变化的伸展表面上,分析了二维稳定非Newton流体的流动.假定热传导率按温度的线性函数变化.将控制方程无量纲化后,用Runge-Kutta法进行数值求解.将该问题的一个特例所得到的一些结果,与以前发表的结果相比较,发现两者有着很好的一致性.考虑两种情况,一种对应着致冷的表面温度,另一种对应着均匀的表面温度.数值结果显示,对上述两种情况,可变热传导参数β,传质参数d和幂律指数n,对温度分布和Nusselt数有着重大的影响.Abstract: An analysis of the steady two-dimen sional non-Newtonian flow on a power-lawstretched surface with suction or injection was considered. The thermal conductivity was assumed to vary as a linear function of temperature. The transformed governing equations in the present study were solved numerically by using the Runge-Kutta method. Some of the results obtained for a special case of the problem were compared to the results published in a previous work and were found to be in excellent agreement. Two cases were considered, one corre-sponding to a cooled surface temperature and the other, to a uniform surface temperature. The numerical results show that variable thermal conductivity parameter B, injection parameterd and the power-law indexn have sign ificant in fluences on the temperature profiles and the Nus-seltnumber in the above two cases.
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Key words:
- non-Newtonian fluid /
- thermal conductivity /
- power-law fluid
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[1] Fox V G, Erickson L E, Fan L T. The laminar boundary layer on a moving continuous flat sheet immersed in a non-Newtonian fluid[J]. A I Ch E J, 1969, 15(3): 327-333. doi: 10.1002/aic.690150307 [2] Chen C K, Char M. Heat transfer of a continuous stretching surface with suction or blowing[J]. J Math Anal, 1988, 135(2): 568-580. doi: 10.1016/0022-247X(88)90172-2 [3] Ahmad N, Mubeen A. Boundary layer flow and heat transfer for the stretching plate with suction[J]. Int Comm Heat Mass Transfer, 1995, 22(6): 895-906. doi: 10.1016/0735-1933(95)00067-4 [4] Ali M E. On thermal boundary layer on a power-law stretched surface with suction or injection[J]. Int J Heat and Fluid Flow, 1995, 16(4): 280-290. doi: 10.1016/0142-727X(95)00001-7 [5] Hassanien A I, Abdullah A A, Gorla R S R. Flow and heat transfer in a power-law fluid over a nonisothermal stretching sheet[J]. Mathematical and Computer Modelling, 1998, 28(9): 105-116. [6] Bourhan Tashtoush, Kodah Z, Al-Gasem A. Heat transfer analysis of a non-Newtonian fluid on a power-law stretched surface with suction or injection for uniform and cooled surface temperature[J]. Int J Numerical Method for Heat & Fluid Flow, 2000, 10(4): 385-396. [7] Herwig H, Wicken G. The effect of variable properties on laminar boundary layer flow[J]. War Stoffubertr, 1986, 20(1): 47-57. doi: 10.1007/BF00999737 [8] Chiam T C. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet[J]. Acta Mechanica, 1998, 129(1/2): 63-72. doi: 10.1007/BF01379650 [9] Elbashbeshy E M A. Free convection flow with variable viscosity and thermal diffusivity along a vertical plate in the presence of the magnetic field[J]. Int J Eng Sci, 2000, 38(2): 207-213. doi: 10.1016/S0020-7225(99)00021-X [10] Hossain Md Anwar, Munir Md Sazzad, Rees David Andrew S. Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with uniform surface heat flux[J]. Int J Therm Sci, 2000, 39(6): 635-644. [11] Datti P S, Prasad K V, Subhas Abel M, Ambuja Joshi. MHD visco-elastic fluid flow over a non-isothermal stretching sheet[J]. Int J Eng Sci, 2004, 42(8/9): 935-946. doi: 10.1016/j.ijengsci.2003.09.008 [12] Salem A M. The influence of thermal conductivity and variable viscosity on the flow of a micropolar fluid past a continuously semi-infinite moving plate with suction or injection[J]. Il Nuovo Cimentio, B, 2006, 121(1): 35-42. [13] Seddeek M A, Salama F A. Effects of temperature dependent viscosity and thermal conductivity on unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction[J]. Computational Material Science, 2007, 40(2):186-192. doi: 10.1016/j.commatsci.2006.11.012 [14] Chiam T C. Heat transfer with variable thermal conductivity in a stagnation-point flow towards stretching sheet[J]. Int Commun Heat Mass Transfer, 1996, 23(2): 239-248. doi: 10.1016/0735-1933(96)00009-7 [15] Adams J K, Rogers D F. Computer-Aided Heat Transfer Analysis[M]. New York: McGraw-Hill, 1973.
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