A New Approximate Analytical Solutions for Two‐ and Three‐Dimensional Unsteady Viscous Incompressible Flows by Using the Kinetically Reduced Local Navier‐Stokes Equations

Abdul-Sattar J. Al-Saif and Assma J. Harfash

Journal of Applied Mathematics, 2019, vol. 2019, issue 1

Abstract: 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.

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2019/3084394

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2019:y:2019:i:1:n:3084394

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().