A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions

The main objective of this review is to report on key mathematical issues related to the analytical methods of the Navier-Stokes equations, especially the attempt of generating exact solution. Several aspects of exact solutions to provide mathematical justifications are criticised. In particular, so...

Full description

Saved in:
Bibliographic Details
Main Authors: Nugroho, Gunawan, Ali, A.M.S., Abdul Karim, Z. A.
Format: Conference or Workshop Item
Published: 2010
Subjects:
Online Access:http://eprints.utp.edu.my/5430/1/Gunawan_Short_Review.pdf
http://eprints.utp.edu.my/5430/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utp.eprints.5430
record_format eprints
spelling my.utp.eprints.54302017-01-19T08:24:54Z A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions Nugroho, Gunawan Ali, A.M.S. Abdul Karim, Z. A. TJ Mechanical engineering and machinery The main objective of this review is to report on key mathematical issues related to the analytical methods of the Navier-Stokes equations, especially the attempt of generating exact solution. Several aspects of exact solutions to provide mathematical justifications are criticised. In particular, some elementary functions appear in exact solutions are sometime found to have difficulties describing the actual phenomena. For example, in boundary layer flows, the difference from the outer layer is hard to accommodate. Additional matched function usually implemented to grasp the whole picture. In some conditions even, the situation is more obscure such that the considered problem approaching singularity. Turbulent flows is also reviewed both in physical and mathematical point of view. Since main structures of turbulent flows can be seen as consequences of the dynamics of the Navier-Stokes equations, resolving turbulence should be put as a main goal of analytical research. 2010 Conference or Workshop Item PeerReviewed application/pdf http://eprints.utp.edu.my/5430/1/Gunawan_Short_Review.pdf Nugroho, Gunawan and Ali, A.M.S. and Abdul Karim, Z. A. (2010) A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions. In: 2nd International Conference on Plant Equipment and Reliability, 15-17 June 2010, Kuala Lumpur Convention Centre. http://eprints.utp.edu.my/5430/
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, Gunawan
Ali, A.M.S.
Abdul Karim, Z. A.
A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
description The main objective of this review is to report on key mathematical issues related to the analytical methods of the Navier-Stokes equations, especially the attempt of generating exact solution. Several aspects of exact solutions to provide mathematical justifications are criticised. In particular, some elementary functions appear in exact solutions are sometime found to have difficulties describing the actual phenomena. For example, in boundary layer flows, the difference from the outer layer is hard to accommodate. Additional matched function usually implemented to grasp the whole picture. In some conditions even, the situation is more obscure such that the considered problem approaching singularity. Turbulent flows is also reviewed both in physical and mathematical point of view. Since main structures of turbulent flows can be seen as consequences of the dynamics of the Navier-Stokes equations, resolving turbulence should be put as a main goal of analytical research.
format Conference or Workshop Item
author Nugroho, Gunawan
Ali, A.M.S.
Abdul Karim, Z. A.
author_facet Nugroho, Gunawan
Ali, A.M.S.
Abdul Karim, Z. A.
author_sort Nugroho, Gunawan
title A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
title_short A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
title_full A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
title_fullStr A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
title_full_unstemmed A Short Review on the Analytical Methods in Fluid Dynamics Research: The Importance of Exact Solutions
title_sort short review on the analytical methods in fluid dynamics research: the importance of exact solutions
publishDate 2010
url http://eprints.utp.edu.my/5430/1/Gunawan_Short_Review.pdf
http://eprints.utp.edu.my/5430/
_version_ 1738655404806635520
score 13.211869