Unsteady Squeezing Flow of Jeffery Fluid between Two Parallel Disks
A. Qayyum1, M. Awais1, A. Alsaedi2, T. Hayat1**
1Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan 2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Unsteady Squeezing Flow of Jeffery Fluid between Two Parallel Disks
A. Qayyum1, M. Awais1, A. Alsaedi2, T. Hayat1**
1Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan 2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
摘要We investigate an unsteady axisymmetric flow of a Jeffrey fluid between two parallel disks. The relevant partial differential equations are modeled and simplified by using appropriate transformations. The resulting ordinary differential system is solved and a series solution is obtained. Effects of various parameters of interest on the flow quantities are seen. It is found that the velocity profile increases when porosity and squeezing parameters are increased.
Abstract：We investigate an unsteady axisymmetric flow of a Jeffrey fluid between two parallel disks. The relevant partial differential equations are modeled and simplified by using appropriate transformations. The resulting ordinary differential system is solved and a series solution is obtained. Effects of various parameters of interest on the flow quantities are seen. It is found that the velocity profile increases when porosity and squeezing parameters are increased.
A. Qayyum1, M. Awais1, A. Alsaedi2, T. Hayat1**. Unsteady Squeezing Flow of Jeffery Fluid between Two Parallel Disks[J]. 中国物理快报, 2012, 29(3): 34701-034701.
A. Qayyum, M. Awais, A. Alsaedi, T. Hayat. Unsteady Squeezing Flow of Jeffery Fluid between Two Parallel Disks. Chin. Phys. Lett., 2012, 29(3): 34701-034701.
[1] Stefan M J 1874 Akademie der Wissenschaften in Wien. Mathematik Naturwissen 69 713
[2] Langlois W E 1962 Appl. Math. 20 131
[3] Verma R L 1981 Wear 72 89
[4] Hamza E A 1999 J. Phys. D: Appl. Phys. 32 656
[5] Rajagopal K R and Gupta A S 1981 Int. J. Engin. Sci. 19 1009
[6] Rashidi M M, Shahmohamadi H and Dinarvand S 2008 Math. Prob. Engin. 2008 935095
[7] Domairry G and Aziz A 2009 Math. Prob. Engin. 2009 603916
[8] Liao S J 2004 Appl. Math. Comput. 147 499
[9] Bataineh A S, Noorani M S M and Hashim I 2008 Comput. Math. Appl. 55 2913
[10] Abbasbandy S 2010 Nonlin. Anal.: Real World Appl. 11 307
[11] Abbasbandy S, Shivanian E and Vajravelu K 2011 Commun. Nonlin. Sci. Numer. Simulat. 16 4268
[12] Rashidi M M, Domairry G and Dinarvand S 2009 Commun. Nonlin. Sci. Numer. Simulat. 14 708
[13] Yao B 2009 Eur. J. Mech. B Fluids 28 689
[14] Hayat T, Awais M, Asghar S and Hendi A A 2011 ASME J. Fluid Engin. 133 061201
[15] Hayat T, Mustafa M and Obaidat S 2011 ASME J. Fluid Engin. 133 021202
2012, Vol. 29 
