Coupled Transfer Through Boundary Reactions: An Application-Oriented Cavity Flow Problem

Author(s):  
Zhan-Chao Hu
Keyword(s):  
Author(s):  
Santhana Krishnan Narayanan ◽  
Antony Alphonnse Ligor ◽  
Jagan Raj

In this paper, the flow problem of constant velocity of a square cavity whose lid is solved and obtained a numerical solution on 2 grid levels, having 32x32 and 64x64 cells. Reynolds number of 1x102 , 1x103 was selected for laminar flow and 8x103 was selected for turbulent flow. The problem is identified in NavierStokes equations. The finite volume discretization is based on the numerical model. The simulated results are in valid agreement with those that are available in the given report. The numerical solution of these works are accurately obtained for this problem.


Author(s):  
S. Hosseinzadeh ◽  
Ramin Ostadhossein ◽  
H. R. Mirshahvalad ◽  
J. Seraj

2007 ◽  
Vol 6 (1) ◽  
pp. 104
Author(s):  
J. M. B. S. Guigon ◽  
J. S. Pérez Guerrero ◽  
R. M. Cotta

An analysis is presented of the computational optimization for integral transform algorithms using the streamfunction only formulation of the Navier-Stokes equations, as applied to the steady incompressible laminar flow of a Newtonian fluid in two-dimensional formulation. The classical lid-driven rectangular cavity flow problem is considered in order to revise the conventional development of the Generalized Integral Transform Technique (GITT). The GITT is applied transforming the partial differential equation into a system of coupled ordinary differential equations, which is numerically solved by a general algorithm for boundary value problems, using a subroutine from the IMSL library with automatic error control. The conventional algorithm written in FORTRAN language is modified and tested seeking its optimization. A few different strategies of applying the technique are considered to achieve improved computational performance and allowing the inspection of convergence rates in the eigenfunction expansion of the original potentials for high Reynolds numbers. These different algorithm alternatives are analyzed and the relative merits are discussed. Results for different values of the Reynolds number and cavity aspect ratios are presented in tabular and graphical forms and fully converged results are critically compared against previously published findings.


2017 ◽  
Vol 56 (1) ◽  
pp. 123-135 ◽  
Author(s):  
Tamer A. AbdelMigid ◽  
Khalid M. Saqr ◽  
Mohamed A. Kotb ◽  
Ahmed A. Aboelfarag

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