Viscous flow over a shrinking sheet with an arbitrary surface velocity

作者: Tiegang Fang , Yongfang Zhong

DOI: 10.1016/J.CNSNS.2010.01.034

关键词:

摘要: Abstract In this paper, an analytical solution in a closed form for the boundary layer flow over shrinking sheet is presented when arbitrary velocity distributions are applied on sheet. The solutions with seven typical profiles derived based general expression. Such usually not self-similar and can only be implemented mass transfer at wall prescribed determined by moving of wall. characteristics flows discussed compared previous similarity solutions. observed to have quite different behavior from that reported literature results demonstrate distinctive momentum energy transport characteristics. Some plots stream functions also illustrated show difference field between stretching An integral approach solve or uncoupled surface outlined effectiveness discussed.

参考文章(30)
Taylan Altan, H. L. Gegel, Soo-Ik Oh, Metal Forming : Fundamentals and Applications ,(1983)
Edwin George Fisher, Extrusion of plastics Published for the Plastics Institute [by] Iliffe , Interscience Publishers. ,(1958)
M. Sajid, T. Hayat, The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet Chaos, Solitons & Fractals. ,vol. 39, pp. 1317- 1323 ,(2009) , 10.1016/J.CHAOS.2007.06.019
M. Sajid, T. Javed, T. Hayat, MHD rotating flow of a viscous fluid over a shrinking surface Nonlinear Dynamics. ,vol. 51, pp. 259- 265 ,(2007) , 10.1007/S11071-007-9208-3
Mohamed E. Ali, On thermal boundary layer on a power-law stretched surface with suction or injection International Journal of Heat and Fluid Flow. ,vol. 16, pp. 280- 290 ,(1995) , 10.1016/0142-727X(95)00001-7
Tiegang Fang, Boundary layer flow over a shrinking sheet with power-law velocity International Journal of Heat and Mass Transfer. ,vol. 51, pp. 5838- 5843 ,(2008) , 10.1016/J.IJHEATMASSTRANSFER.2008.04.067
Cha'o-Kuang Chen, Ming-I Char, Heat transfer of a continuous, stretching surface with suction or blowing Journal of Mathematical Analysis and Applications. ,vol. 135, pp. 568- 580 ,(1988) , 10.1016/0022-247X(88)90172-2
L. J. Grubka, K. M. Bobba, Heat Transfer Characteristics of a Continuous, Stretching Surface With Variable Temperature Journal of Heat Transfer. ,vol. 107, pp. 248- 250 ,(1985) , 10.1115/1.3247387
Tiegang Fang, Wei Liang, Chia-fon F. Lee, A new solution branch for the Blasius equation-A shrinking sheet problem Computers & Mathematics With Applications. ,vol. 56, pp. 3088- 3095 ,(2008) , 10.1016/J.CAMWA.2008.07.027
T. Hayat, Z. Abbas, M. Sajid, On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid Over a Shrinking Sheet Journal of Applied Mechanics. ,vol. 74, pp. 1165- 1171 ,(2007) , 10.1115/1.2723820