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

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

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 corresp...

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Main Authors: Nugroho, G., A.M.S., Ali, Abdul Karim, Z. A.
Format: Article
Published: 2010
Subjects:
TJ Mechanical engineering and machinery
Online Access:http://ijamm.bc.cityu.edu.hk/ijamm/wp_home_download_this.asp?pn=298
http://eprints.utp.edu.my/6238/
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Institution: Universiti Teknologi Petronas
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spelling my.utp.eprints.62382011-08-02T04:04:53Z PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS Nugroho, G. A.M.S., Ali Abdul Karim, Z. A. TJ Mechanical engineering and machinery 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. 2010 Article PeerReviewed http://ijamm.bc.cityu.edu.hk/ijamm/wp_home_download_this.asp?pn=298 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 http://eprints.utp.edu.my/6238/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic TJ Mechanical engineering and machinery
spellingShingle TJ Mechanical engineering and machinery
Nugroho, G.
A.M.S., Ali
Abdul Karim, Z. A.
PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
description 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.
format Article
author Nugroho, G.
A.M.S., Ali
Abdul Karim, Z. A.
author_facet Nugroho, G.
A.M.S., Ali
Abdul Karim, Z. A.
author_sort Nugroho, G.
title PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
title_short PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
title_full PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
title_fullStr PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
title_full_unstemmed PROPERTIES OF curl(phi) AND grad(phi)+curl(phi) CLASSES OF SOLUTION TO THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
title_sort properties of curl(phi) and grad(phi)+curl(phi) classes of solution to the three-dimensional incompressible navier-stokes equations
publishDate 2010
url http://ijamm.bc.cityu.edu.hk/ijamm/wp_home_download_this.asp?pn=298
http://eprints.utp.edu.my/6238/
_version_ 1738655472796303360

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