摘要Effects of variable viscosity on the flow and heat transfer in a thin film on a horizontal porous stretching sheet are analyzed. The steady boundary layer equations for momentum and thermal energy are simplified by using similarity transformations. The resulted and coupled nonlinear differential equations are solved by Homotopy analysis method. The results are presented graphically to interpret various physical parameters appearing in the problem.
Abstract：Effects of variable viscosity on the flow and heat transfer in a thin film on a horizontal porous stretching sheet are analyzed. The steady boundary layer equations for momentum and thermal energy are simplified by using similarity transformations. The resulted and coupled nonlinear differential equations are solved by Homotopy analysis method. The results are presented graphically to interpret various physical parameters appearing in the problem.
S. Nadeem;Naeem Faraz. Thin Film Flow of a Second Grade Fluid over a Stretching/Shrinking Sheet with Variable Temperature-Dependent Viscosity[J]. 中国物理快报, 2010, 27(3): 34704-034704.
S. Nadeem, Naeem Faraz. Thin Film Flow of a Second Grade Fluid over a Stretching/Shrinking Sheet with Variable Temperature-Dependent Viscosity. Chin. Phys. Lett., 2010, 27(3): 34704-034704.
[1] Lavrik N V, Tipple C A, Sepaniak M J Datskos D 2001 Biomed. Microdev. 3 35 [2] Mahmood M, Asghar S and Hossain M A 2007 Heat Mass Transfer 44 165 %DOI: 10.1007/s00231-006-0218-3 [3] Wang C Y 2008 Int. J. Eng. Sci. 46 391 [4] Dandapat B S, Ray P C 1990 Int. J. Nonlin. Mech. 25 569 [5] Wang C 2006 Heat Mass Transfer 42 759 %DOI: 10.1007/s00231-005-0027-0. [6] Dandapat B S, Santra B and Vajravelu K 2007 Int. J. Heat Mass Transfer. 50 991 [7] Khan M, Ali S H, Hayat T and Fetecau C 2008 Int. J. Nonlinear Mech. 43 302 [8] Nadeem S, Hayat T, Hutter K and Asghar S 2004 Z. Angew Math. Phys. 55 626 [9] Nadeem S, Hayat T, Hanif K and Asghar S 2004 Mechanica 39 483 [10] Nadeem S, Khan M, Hayat T and Siddiqui A M 2005 Math. Comput. Modelling 41 629 [11] Nadeem S, Hayat T, Asghar S and Siddiqui A M 2005 Chem. Eng. Commun. 192 1 [12] Nadeem S, Asghar S, Hanif K and Hayat T 2006 Math. Prob. Eng. 2 1 [13] Nadeem S 2006 J. Porous Media 8 779 [14] Nadeem S, Asghar S, Hayat T and Hussain M 2008 Mechanica 43 5 [15] Hayat T, Saif S and Abbas Z 2008 Phys. Lett. A 372 5037 [16] Hayat T, Javed T and Abbas Z 2008 Int. J. Heat Mass Transfer 51 4528 [17] Bataller R C 2007 Int. J. Heat Mass Transfer 50 3152 [18] Abbas Z, Hayat T, Sajid M, Asghar S 2008 Math. Comput. Modelling 48 518 [19] Fetecau C, Hayat T, Ali N and Fetecau C 2008 Nonlin. Anal.: Real World Appl. 9 1236 [20] Bataller R C 2007 Comput Math Appli. 53 305. [21] Sajid M, Ahmad I, Hayat T and Ayub M 2009 Commun. Nonlin. Sci. Num. Sim. 14 96 [22] Cortell R 2006 Int. J. Nonlin. Mech. 41 78 [23] Cortell R 2006 Phys. Lett. A 357 298 [24] Hayat T and Sajid M 2007 Int. J. Heat Mass Transfer 50 75 [25] Cortell R 2007 Chem. Eng. Proc. 46 721 [26] Cortell R 2007 Chem. Eng. Proc. 46 982 [27] Ahmad I, Sajid M, Hayat T and Ayub M 2008 Comput. Math. Appl. 56 1351 [28] Khan M, Naheed, E Fetecau C and Hayat T 2008 Int. J. Nonlin. Mech. 43 868 [29] Sakiadis B C 1961 AIChE J. 7 26 [30] Xu H and Liao S J 2008 Comm. Nonlinear Sci. Num. Sim. 13 350 [31] Liao S J 2006 Commun. Nonlin. Sci. Num. Sim. 11 326 [32] Liao S J 2005 Int. J. Heat Mass Transf. 48 2529 [33] Hayat T and Sajid M 2007 Int. J. Eng. Sci. 45 393 [34] Abel M S and Nandeppanavar M M 2009 Commun. Nonlin. Sci. Num. Sim. 14 2120 [35] Ishak A, Nazar R and Pop I 2009 Commun. Nonlin. Sci. Num. Sim. 14 109 [36] Bose S and Chakraborty S 2008 Int. J. Heat Mass Transfer 51 5465 [37] Ishak A, Nazar R and Pop I 2009 Commun. Nonlin. Sci. Num. Sim. 14 1324
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