International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

A class of exact solutions of second grade fluid

A. M. Siddiqui1, M. KamranAlam2*, S. Islam3, M. T. Rahim2 and Manzoor Elahi3      
1Department of Mathematics Pennsylvania State University, York Campus, 1031 Edgecombe Avenue, New York, PA 17403, USA. 2Department of Mathematics, National University of Computer and Emerging Sciences, Peshawar, Pakistan. 3COMSATS Institute of Information Technology, Islamabad 44000, Pakistan.  
Email: [email protected]

  •  Accepted: 21 April 2011
  •  Published: 16 October 2011


This paper describes a class of exact solutions of the equations of motion for an unsteady, incompressible non-Newtonian second grade fluid in the Cartesian co-ordinates. The exact solutions of non-linear equations governing the flow of second grade fluids are obtained through generalized separation variables method by assuming certain form of stream functions. The expressions for velocity profile and vorticity stream function are constructed.


Key words: Exact solutions, vorticity functions, second grade fluids, separation of variables.