Modares Mechanical Engineering

Modares Mechanical Engineering

Multidimensional Characteristic Modeling of Combined Convection Flows

Authors
Alireza Rostamzadeh khosroshahi 1
seied esmaeel razavi 2
Seyed mehdi Mirsajedi 3
1 Member of academic staff and head of energy conversion group/ Islamic azad university of tabriz
2 School of Mechanical Engineering, University of Tabriz, Tabriz, Iran.
3 Aerospace Engineering Department, Faculty of New Technologies & Engineering, Shahid Beheshti University, Tehran, Iran.
Abstract
Present study proposes a new multidimensional artificially characteristic-based (MACB) scheme for simulation of combined convection flows. Multidimensional characteristic structure for energy propagation in incompressible flow is derived for the first time. Four pseudo-waves are selected and equations are discretized along them to observe the physical behavior of domain. Viscous fluxes are computed by variables derivatives at the cell interfaces and for time discretization, a 4th-order Runge-Kutta method was used. According to the new scheme, two-dimensional flow with heat transfer in a square cavity and forced convection around a circular cylinder are solved for a wide range of Reynolds and Grashof numbers. Also, for comparison purposes, the CB scheme with averaging for energy equation is used. It was found that MACB has remarkable faster convergence in comparison with CB scheme and averaging methods. Also, by using MACB scheme, maximum permissible CFL number can be increased 80 percent in comparison to CB scheme. At higher Richardson numbers, the conventional flux averaging was failed to converge properly while MACB scheme presents the most rapid convergence. The computed results of MACB scheme are in good agreement with the benchmark solutions.
Keywords
Multidimensional characteristic
Artificial compressibility
Navier-Stokes equations
Combined Convection

Subjects

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Modares Mechanical Engineering
Volume 18, Issue 6
October 2018
Pages 1-11