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...
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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/ |
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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 |
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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/ |
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1738655404806635520 |
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