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A New Approximate Analytical Solutions for Two- and Three-Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier-Stokes Equations
Joint Authors
Al-Saif, Abdul-Sattar J.
Harfash, Assma J.
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this work, the kinetically reduced local Navier-Stokes equations are applied to the simulation of two- and three-dimensional unsteady viscous incompressible flow problems.
The reduced differential transform method is used to find the new approximate analytical solutions of these flow problems.
The new technique has been tested by using four selected multidimensional unsteady flow problems: two- and three-dimensional Taylor decaying vortices flow, Kovasznay flow, and three-dimensional Beltrami flow.
The convergence analysis was discussed for this approach.
The numerical results obtained by this approach are compared with other results that are available in previous works.
Our results show that this method is efficient to provide new approximate analytic solutions.
Moreover, we found that it has highly precise solutions with good convergence, less time consuming, being easily implemented for high Reynolds numbers, and low Mach numbers.
American Psychological Association (APA)
Al-Saif, Abdul-Sattar J.& Harfash, Assma J.. 2019. A New Approximate Analytical Solutions for Two- and Three-Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier-Stokes Equations. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1168871
Modern Language Association (MLA)
Al-Saif, Abdul-Sattar J.& Harfash, Assma J.. A New Approximate Analytical Solutions for Two- and Three-Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier-Stokes Equations. Journal of Applied Mathematics No. 2019 (2019), pp.1-19.
https://search.emarefa.net/detail/BIM-1168871
American Medical Association (AMA)
Al-Saif, Abdul-Sattar J.& Harfash, Assma J.. A New Approximate Analytical Solutions for Two- and Three-Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier-Stokes Equations. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1168871
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168871