Chin. Phys. Lett.  2009, Vol. 26 Issue (1): 014703    DOI: 10.1088/0256-307X/26/1/014703
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Viscous Flow over an Unsteady Shrinking Sheet with Mass Transfer
FANG Tie-Gang, ZHANG Ji, YAO Shan-Shan
Mechanical and Aerospace Engineering Department, North Carolina State University, 3182 Broughton Hall-Campus Box 7910, 2601 Stinson Drive, Raleigh, NC 27695, USA
Download: PDF(312KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The unsteady viscous flow over a continuously shrinking surface with mass suction is studied. The solution is fortunately an exact solution of the unsteady Navier-Stokes equations. Similarity equations are obtained through the application of similarity transformation techniques. Numerical techniques are used to solve the similarity equations for different values of the mass suction parameters and the unsteadiness parameters. Results show that multiple solutions exist for a certain range of mass suction and unsteadiness parameters. Quite different flow behaviour is observed for an unsteady shrinking sheet from an unsteady stretching sheet.
Keywords: 47.10.Ad      47.15.Cb     
Received: 14 October 2008      Published: 24 December 2008
PACS:  47.10.ad (Navier-Stokes equations)  
  47.15.Cb (Laminar boundary layers)  
Cite this article:   
FANG Tie-Gang, ZHANG Ji, YAO Shan-Shan 2009 Chin. Phys. Lett. 26 014703
URL:  
http://cpl.iphy.ac.cn/10.1088/0256-307X/26/1/014703       OR      http://cpl.iphy.ac.cn/Y2009/V26/I1/014703
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
FANG Tie-Gang
ZHANG Ji
YAO Shan-Shan
[1] Altan T, Oh S and Gegel H 1979 Metal FormingFundamentals and Applications (Metals Park, OH: American Society ofMetals)
[2] Fisher E G 1976 Extrusion of Plastics (New York:Wiley)
[3] Tadmor Z and Klein I 1970 Engineering Principles ofPlasticating Extrusion, Polymer Science and Engineering Series(New York: Van Norstrand Reinhold)
[4] Sakiadis B C 1961 AIChe J. 7 26
[5] Sakiadis B C 1961 AIChe J. 7 221
[6] Wang C Y 1989 Appl. Mech. Rev. 42 S269
[7] Wang C Y 1991 Ann. Rev. Fluid Mech. 23 159
[8] Xie Z W, Cao Z X, Kats E I and Liu W M 2005 Phys.Rev. A 71 025601
[9] Xie Z W, Zhang W P, Chui S T and Liu W M 2004 Phys.Rev. A 69 053609
[10] Kengne E and Liu W M 2006 Phys. Rev. E 73026603
[11] Crane L J 1970 Zeitschrift f\"ur Angewandte Mathematikund Physik 21 645
[12] Gupta P S and Gupta A S 1977 Can. J. Chem. Eng. 55 744
[13] Wang C Y 1984 Phys. Fluids 27 1915
[14] Fang T 2007 Phys. Fluids 19 128105
[15] Fang T and Zhang J 2008 Int. Commun. Heat MassTransfer 35 892
[16] Surna Devi C D, Takhar H S and Nath G 1986 Int. J.Heat Mass Transfer 29 1996
[17] Miklavcic M and Wang C Y 2006 Quarterly Appl. Math. 64 283
[18] Fang T, Liang W and Lee C F 2008 Comput. Math.Appl. 56 3088
[19] Fang T 2008 Int. J. Heat Mass Transfer 515838
[20] Hayat T, Abbas Z and Sajid M 2007 J. Appl. Mech.Trans. ASME 74 1165
[21] Sajid M, Hayat T and Javed T 2008 NonlinearDynamics 51 259
[22] Wang C Y 2008 Int. J. Non-Linear Mech. 43377
[23] Goldstein J 1965 J. Fluid Mech. 21 33
[24] White F M 1991 Viscous Fluid Flow 2nd edn (NewYork: McGraw-Hill)
Related articles from Frontiers Journals
[1] Swati Mukhopadhyay*. Heat Transfer Analysis of the Unsteady Flow of a Maxwell Fluid over a Stretching Surface in the Presence of a Heat Source/Sink[J]. Chin. Phys. Lett., 2012, 29(5): 014703
[2] M. Sajid, K. Mahmood, Z. Abbas. Axisymmetric Stagnation-Point Flow with a General Slip Boundary Condition over a Lubricated Surface[J]. Chin. Phys. Lett., 2012, 29(2): 014703
[3] LI Shao-Wu, WANG Jian-Ping. Finite Spectral Semi-Lagrangian Method for Incompressible Flows[J]. Chin. Phys. Lett., 2012, 29(2): 014703
[4] Chandaneswar Midya*. Exact Solutions of Chemically Reactive Solute Distribution in MHD Boundary Layer Flow over a Shrinking Surface[J]. Chin. Phys. Lett., 2012, 29(1): 014703
[5] Krishnendu Bhattacharyya**, Swati Mukhopadhyay, G. C. Layek . Slip Effects on an Unsteady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Stretching Sheet[J]. Chin. Phys. Lett., 2011, 28(9): 014703
[6] Krishnendu Bhattacharyya**, G. C. Layek . MHD Boundary Layer Flow of Dilatant Fluid in a Divergent Channel with Suction or Blowing[J]. Chin. Phys. Lett., 2011, 28(8): 014703
[7] Krishnendu Bhattacharyya** . Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet[J]. Chin. Phys. Lett., 2011, 28(8): 014703
[8] Krishnendu Bhattacharyya . Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet[J]. Chin. Phys. Lett., 2011, 28(7): 014703
[9] TANG Zhan-Qi, JIANG Nan, ** . TR PIV Experimental Investigation on Bypass Transition Induced by a Cylinder Wake[J]. Chin. Phys. Lett., 2011, 28(5): 014703
[10] SI Xin-Hui**, ZHENG Lian-Cun, ZHANG Xin-Xin, SI Xin-Yi, YANG Jian-Hong . Flow of a Viscoelastic Fluid through a Porous Channel with Expanding or Contracting Walls[J]. Chin. Phys. Lett., 2011, 28(4): 014703
[11] Krishnendu Bhattacharyya**, Swati Mukhopadhyay, G. C. Layek . MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate[J]. Chin. Phys. Lett., 2011, 28(2): 014703
[12] FANG Tie-Gang*, ZHANG Ji, ZHONG Yong-Fang, TAO Hua . Unsteady Viscous Flow over an Expanding Stretching Cylinder[J]. Chin. Phys. Lett., 2011, 28(12): 014703
[13] Swati Mukhopadhyay . Heat Transfer in a Moving Fluid over a Moving Non-Isothermal Flat Surface[J]. Chin. Phys. Lett., 2011, 28(12): 014703
[14] ZHANG Hui, FAN Bao-Chun**, CHEN Zhi-Hua . In-depth Study on Cylinder Wake Controlled by Lorentz Force[J]. Chin. Phys. Lett., 2011, 28(12): 014703
[15] Tiegang FANG**, Shanshan YAO . Viscous Swirling Flow over a Stretching Cylinder[J]. Chin. Phys. Lett., 2011, 28(11): 014703
Viewed
Full text


Abstract