Assessment of Heat Convection in a Square Cavity using the Finite Volume Method
碩士 === 中華大學 === 機械工程學系碩士班 === 99 === A numerical study of natural and mixed convection inside a cavity based on a finite volume scheme for the steady compressible Navier-Stokes equations was carried out. The numerical fluxes are obtained based a second order central scheme while the gradients of vel...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/32504278921240422212 |
| Summary: | 碩士 === 中華大學 === 機械工程學系碩士班 === 99 === A numerical study of natural and mixed convection inside a cavity based on a finite volume scheme for the steady compressible Navier-Stokes equations was carried out. The numerical fluxes are obtained based a second order central scheme while the gradients of velocity and temperature are calculated from a fourth order isoparametric element. The overall residual is integrated using the fourth-order Runge-Kutta scheme with a preconditioning matrix. The numerical code is validated by comparing our results with previously published results of shear and thermal driven flows. The compressible effect of Mach number of lid and the temperature difference of the differential heated vertical wall problems was examined and compared with the solutions based on incompressible flow. For the natural convection inside an inclined cavity with a hot wavy wall problem, the results are presented for different angle of inclination (30o-150o) for four different undulations (0-3). Finally, the current scheme is conducted to analyze mixed convection heat transfer in lid-driven cavity with a sinusoidal wavy bottom surface.
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