Volume 5, Issue 1 (January 2018), Pages: 170-176

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 Original Research Paper

 Title: Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

 Author(s): Hassan Fayyaz, Abdullah Shah *

 Affiliation(s):

 Department of Mathematics, COMSATS Institute of Information Technology, Park Road Chak Shahzad, Islamabad, Pakistan

 https://doi.org/10.21833/ijaas.2018.01.023

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 Abstract:

In this paper, accurate and efficient calculations of the flow inside different types of cavities are presented. The incompressible Navier-Stokes equations are expressed in generalized curvilinear coordinates using artificial compressibility method. The governing equation in conservative form is solved numerically using an upwind compact finite difference scheme. The solution algorithm for solving the resulting linear system of equation is approximate factorization based ADI scheme. The computed results are compared with the results in the literature and the agreement is good. Also the presence of multiple solution and critical value of aspect ratio and Reynolds number for two sided cavity calculated and compared. 

 © 2017 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Incompressible Navier-Stokes, Curvilinear coordinates, Upwind compact scheme, Approximate factorization, Flow in cavity

 Article History: Received 9 August 2017, Received in revised form 20 November 2017, Accepted 30 November 2017

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.01.023

 Citation:

 Fayyaz H and Shah A (2018). Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver. International Journal of Advanced and Applied Sciences, 5(1): 170-176

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I1/Fayyaz.html

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