IJPAM: Volume 96, No. 2 (2014)
NAVIER STOKES EQUATIONS IN POROUS MEDIA



Anwar Zeb




University of Science and Technology of China
Hefei, 230026, P.R. CHINA

Business Administration and Accounting
Buraimi University College
Al-Buraimi, OMAN

COMSATS Institute of Information, Technology, Abbottabad, PAKISTAN

University of Malakand
Chakdara Dir (Lower), Khyber Pakhtunkhwa, PAKISTAN

Pusan National University
Geumjeong-Gu, Busan, 609-735, SOUTH KOREA
Abstract. This paper investigates exact solutions of steady Navier Stokes equations of
an incompressible viscous fluid in a porous medium. Different flow situations
are investigated using vorticity as a stream function. Making use of stream
function, the two-dimensional flow equations are transformed into non-linear
compatibility equation, and then it is linearized by vorticity function.
Stream functions and velocity distributions are discussed for various flow
situations.
Received: April 18, 2014
AMS Subject Classification: 76S05, 76S99, 74A99
Key Words and Phrases: porous medium, exact solutions, two-dimensional flows
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DOI: 10.12732/ijpam.v96i2.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 2
Pages: 235 - 247
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This work is licensed under the Creative Commons Attribution International License (CC BY).