Boundary layer flow over a shrinking sheet with power-law velocity
作者： Tiegang Fang
DOI: 10.1016/J.IJHEATMASSTRANSFER.2008.04.067
关键词: Materials science 、 Boundary (topology) 、 Velocity overshoot 、 Mechanics 、 Classical mechanics 、 Work (thermodynamics) 、 Power law 、 Similarity solution 、 Mass transfer 、 Nonlinear system 、 Boundary layer
摘要: Abstract In this work, the boundary layers over a continuously shrinking sheet with power-law surface velocity and mass transfer were investigated. Based on layer assumptions, similarity equations controlling parameter β obtained solved numerically. Theoretical analysis was conducted for certain special conditions exact solutions derived β = −1 β = −2 also power index m = - 1 . Numerical techniques used to solve equation other parameters. Quite different interesting solution behaviors found compared stretching sheet. Multiple β. Velocity overshoot near wall edge observed branches. The current results offer quite nonlinear greatly enrich understanding of layers.
elsevier.com
sci-hub.se 参考文章(25)
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)
Frank M. White, Viscous Fluid Flow ,(1974)
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
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
B.K. Dutta, P. Roy, A.S. Gupta, Temperature field in flow over a stretching sheet with uniform heat flux International Communications in Heat and Mass Transfer. ,vol. 12, pp. 89- 94 ,(1985) , 10.1016/0735-1933(85)90010-7