International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

Steady and unsteady exact inverse solutions for the flow of a viscous fluid

S. Islam1, T. Haroon1, Manzoor Elahi1, Murad Ullah2* and A. M. Siddiqui3
  1COMSATS Institute of Information Technology Park Road, Chakshazad, Islamabad, Pakistan. 2Islamia College Peshawar (Charted University), Peshawar, NWFP, Pakistan. 3Pennsylvania State University, York Campus, Edgecombe 1703, USA.
Email: [email protected]

  •  Accepted: 23 May 2011
  •  Published: 02 November 2011



In this paper, inverse solutions are derived for the equations of two dimensional flows of a viscous incompressible fluid by assuming certain conditions on the stream function. The equation is coupled in terms of the stream function by eliminating the pressure between the component forms of the flow equation. The solutions for steady and unsteady cases are found by prescribing the vorticity proportional to the stream function perturbed by the uniform stream in x and y directions. The solutions for the stream functions and velocity components are derived in each case and comparison of results have been made with the known results.


Key words: Inverse solutions, viscous fluid, unsteady flow, stream function.