A CONTROL-VOLUME FINITE-ELEMENT METHOD FOR PREDICTING FLOW AND HEAT TRANSFER IN DUCTS OF ARBITRARY CROSS SECTIONS—PART I: DESCRIPTION OF THE METHOD

1987 ◽  
Vol 12 (4) ◽  
pp. 389-412 ◽  
Author(s):  
C. Prakash ◽  
S. V. Patankar
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Cross Sections ◽  
Control Volume ◽  
Flow And Heat Transfer ◽  
Control Volume Finite Element ◽  
Element Method

Numerical Study of Transient Convection With Volumetric Radiation Using an Hybrid Lattice Boltzmann Bhatnagar–Gross–Krook–Control Volume Finite Element Method

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
Raoudha Chaabane ◽  
Faouzi Askri ◽  
Abdelmajid Jemni ◽  
Sassi Ben Nasrallah
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Radiative Heat Transfer ◽  
Lattice Boltzmann ◽  
Radiative Heat ◽  
Control Volume ◽  
Double Population ◽  
Control Volume Finite Element ◽  
Element Method

In this paper, a new hybrid numerical algorithm is developed to solve coupled convection–radiation heat transfer in a two-dimensional cavity containing an absorbing, emitting, and scattering medium. The radiative information is obtained by solving the radiative transfer equation (RTE) using the control volume finite element method (CVFEM), and the density, velocity, and temperature fields are calculated using the two double population lattice Boltzmann equation (LBE). To the knowledge of the authors, this hybrid numerical method is applied at the first time to simulate combined transient convective radiative heat transfer in 2D participating media. In order to test the efficiency of the developed method, two configurations are examined: (i) free convection with radiation in a square cavity bounded by two horizontal insulating sides and two vertical isothermal walls and (ii) Rayleigh–Benard convection with and without radiative heat transfer. The obtained results are validated against available works in literature, and the proposed method is found to be efficient, accurate, and numerically stable.

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