PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Nugroho, G. and A.M.S., Ali and Abdul Karim, Z. A. (2010) PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. International Journal of Applied Mathematics and Mechanics, 6 (11). pp. 98-117. ISSN 0973-0184

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Abstract

The solution in the special classes of curl(phi) and gard(phi)+curl(phi) of Navier-Stokes equations is investigated in this work. Analysis is taken using the vorticity equations rather than the original Navier Stokes equations based on the work of Chae and Choe [1]. Derivations show that the corresponding problem can be transformed to the class of linear parabolic and elliptic equations. Analysis is performed on L-infinite,L-2 and L-p theory of solutions to linear problems. Results show that the corresponding problems admit unique and regular solutions.

Item Type: Article
Subjects: T Technology > TJ Mechanical engineering and machinery
Departments / MOR / COE: Departments > Mechanical Engineering
Depositing User: AP Dr Zainal Ambri Abdul Karim
Date Deposited: 02 Aug 2011 04:04
Last Modified: 02 Aug 2011 04:04
URI: http://scholars.utp.edu.my/id/eprint/6238

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