粘度与温度相关时对铁磁流体作有热交换轴对称旋转流动的影响

P·拉姆; V·库马尔

doi:10.3879/j.issn.1000-0887.2012.11.009

粘度与温度相关时对铁磁流体作有热交换轴对称旋转流动的影响

doi: 10.3879/j.issn.1000-0887.2012.11.009

国家技术学院数学系,特拉哈里亚纳邦136119,印度

详细信息

中图分类号: O357.1;O414.1
计量
- 文章访问数: 1616
- HTML全文浏览量: 51
- PDF下载量: 974
- 被引次数: 0
出版历程
- 收稿日期: 2011-11-08
- 修回日期: 2012-07-11
- 刊出日期: 2012-11-15

Effect of Temperature Dependent Viscosity on the Revolving Axi-Symmetric Ferrofluid Flow With Heat Transfer

Department of Mathematics, National Institute of Technology, Kurukshetra, Haryana136119, India

摘要

摘要: 就粘度与温度相关时，研究粘度对铁磁流体作轴对称旋转层流边界层流动的影响．铁磁流体是不可压缩非导电的，在一块固定平板上作轴对称的旋转流动，固定平板受到磁场的作用并保持恒定的温度．为了达到上述目的，首先利用众所周知的相似变换法，将耦合的非线性偏微分方程组转化为常微分方程组；然后，运用常用的有限差分法，将耦合的非线性微分方程离散化；采用MATLAB软件中的Newton法求解上述离散化方程；借助FlexPDE求解器得到最初的猜测值．在求得速度分布的同时，还就粘度与温度相关时求得了表面摩擦力、热交换率和边界层位移厚度．所得的结果用图表表示出来．
- 铁磁流体 /
- 粘度与温度相关 /
- 边界层 /
- 轴对称 /
- 磁场
Abstract: The prime objective of the present study was to examine the effect of temperature dependent viscosity on the revolving axi-symmetric laminar boundary layer flow of incompressible, electrically nonconducting ferrofluid in the presence of a stationary plate subjected to a magnetic field and maintained at a uniform temperature. To serve this purpose, the non linear coupled partial differential equations were firstly converted into the ordinary differential equations using well known similarity transformations and later, the popular finite difference method was employed to discretize the non linear coupled differential equations. These discretized equations were then solved using Newton method in MATLAB, for which an initial guess was made with the help of Flex PDE Solver.Along with the velocity profiles, the effects of temperature dependent viscosity were also examined on skin friction, heat transfer and the boundary layer displacement thickness.The results, so obtained, were presented numerically as well as graphically.
- ferrofluid /
- temperature dependent viscosity /
- boundary layer /
- axi-symmetry /
- magnetic field

HTML全文

参考文献(17)

[1]	Rosensweig R E. Ferrohydrodynamics[M]. Cambridge: Cambridge University Press, 1985.
[2]	Schlichting H. Boundary Layer Theory[M]. New York: McGraw-Hill Book Company, 1960.
[3]	Krmn V Th. ber laminare und turbulente reibung[J]. Zeitschrift für Angewandte Mathmatik und Mechanik, 1921, 1(4): 233-252.
[4]	Cochran W G. The flow due to a rotating disk[C]Proceedings of the Cambridge Philosophical Society, 1934, 30: 365-375.
[5]	Benton E R. On the flow due to a rotating disk[J]. Journal of Fluid Mechanics, 1966, 24(4):781800.
[6]	Attia H A. Transient flow of a conducting fluid with heat transfer due to an infinite rotating disk[J]. International Communications in Heat and Mass Transfer, 2001, 28(3): 439-448.
[7]	Kafoussias N G, Williams E W. The effect of temperature dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal at plate[J]. Acta Mechanica, 1995, 110(1/4): 123-137.
[8]	Attia H A. Influence of temperature dependent viscosity on the MHD-channel flow of dusty fluid with heat transfer[J]. Acta Mechanica, 2001, 151(1): 89-101.
[9]	Maleque K A, Sattar M A. Steady laminar convective flow with variable properties due to a porous rotating disk[J]. Transactions of ASME, 2005, 127(12): 1406-1409.
[10]	Ramanathan A, Muchikel N. Effect of temperature-dependent viscosity on ferroconvection in a porous medium[J]. International Journal of Applied Mechanics and Engineering, 2006, 11(1): 93-104.
[11]	Hooman K, Gurgenci H. Effects of temperature-dependent viscosity on Benard convection in a porous medium using a non-Darcy model[J]. International Journal of Heat and Mass Transfer, 2008, 51(5/6): 1139-1149.
[12]	Hooman K, Gurgenci H. Effects of temperature-dependent viscosity on forced convection inside a porous medium[J]. Transport in Porous Media, 2008, 75(2): 249-267.
[13]	Frusteri F, Osalusi E. On MHD and slip flow over a rotating porous disk with variable properties[J]. International Communications in Heat and Mass Transfer, 2007, 34(4): 492-501.
[14]	Ram P, Bhandari A, Sharma K. Effect of magnetic field-dependent viscosity on revolving ferrofluid[J]. Journal of Magnetism and Magnetic Materials, 2010, 322(21): 3476-3480.
[15]	Rani H P, Kim C N. A numerical study on unsteady natural convection of air with variable viscosity over an isothermal vertical layer[J]. Korean Journal of Chemical Engineering, 2010, 27(3): 759-765.
[16]	Maleque K A. Effects of combined temperature- and depth-dependent viscosity and Hall current on an unsteady MHD laminar convective flow due to a rotating disk[J]. Chemical Engineering Communications, 2010, 197(4): 506-521.
[17]	Anderson H I, Valnes O A. Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole[J]. Acta Mechanica, 1998, 128(1/2): 39-47.