Multi-Mode Heat Transfer in a Randomly Packed Bed of Cylindrical Rods Using a Finite Volume Scheme

2000 ◽  
Author(s):  
J. Y. Murthy ◽  
S. R. Mathur
Keyword(s):  
Heat Transfer ◽  
Finite Volume ◽  
Packed Bed ◽  
Refractive Indices ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Volume Method ◽  
Periodic Module ◽  
Multi Mode ◽  
Unstructured Finite Volume Method

Abstract In this paper, calculations of mixed-mode heat transfer in beds of randomly-packed cylinders are presented. An unstructured finite volume method is employed. Random packing is addressed by meshing a periodic module, and creating the bed by stacking and random lateral translation of modules. The ability of the finite volume scheme to employ arbitrary polyhedra is exploited in addressing the resulting non-conformal interfaces. Conduction and radiation are considered, but convection is ignored. Results are presented for conducting and semi-transparent cylinders for a range of fluid and solid conductivities and solid refractive indices and establish the viability and versatility of the method.

Computation of Sub-Micron Thermal Transport Using an Unstructured Finite Volume Method

2002 ◽  
Vol 124 (6) ◽  
pp. 1176-1181 ◽  
Author(s):  
J. Y. Murthy ◽  
S. R. Mathur
Keyword(s):  
Finite Volume ◽  
Isotropic Scattering ◽  
Finite Volume Scheme ◽  
Boltzmann Transport ◽  
Linear Set ◽  
Volume Scheme ◽  
Relaxation Time Approximation ◽  
Fully Implicit ◽  
Volume Method ◽  
Unstructured Finite Volume Method

An unstructured finite volume scheme is applied to the solution of sub-micron heat conduction problems. The phonon Boltzmann transport equation (BTE) in the relaxation time approximation is considered. The similarity between the radiative transfer equation (RTE) and the BTE is exploited in developing a finite volume scheme for the BTE. The spatial domain is divided into arbitrary unstructured polyhedra, the angular domain into control angles, and the frequency domain into frequency bands, and conservation equations for phonon energy are written. The unsteady wave propagation term, not usually present in thermal radiation problems, is differentiated using a fully implicit scheme. A sequential multigrid scheme is applied to solve the nominally linear set. Isotropic scattering due to a variety of mechanisms such as impurity and Umklapp scattering is considered. The numerical scheme is applied to a variety of sub-micron conduction problems, both unsteady and steady. Favorable comparison is found with the published literature and with exact solutions.

Computation of Sub-Micron Thermal Transport Using an Unstructured Finite Volume Method

2001 ◽  
Author(s):  
J. Y. Murthy ◽  
S. R. Mathur
Keyword(s):  
Finite Volume ◽  
Isotropic Scattering ◽  
Finite Volume Scheme ◽  
Boltzmann Transport ◽  
Linear Set ◽  
Volume Scheme ◽  
Relaxation Time Approximation ◽  
Fully Implicit ◽  
Volume Method ◽  
Unstructured Finite Volume Method

Abstract An unstructured finite volume scheme is applied to the solution of sub-micron heat conduction problems. The phonon Boltzmann transport equation (BTE) in the relaxation time approximation is considered. The similarity between the radiative transfer equation (RTE) and the BTE is exploited in developing a finite volume scheme for the BTE. The spatial domain is divided into arbitrary unstructured polyhedra, the angular domain into control angles and the frequency domain into frequency bands and conservation equations for phonon energy are written. The unsteady wave propagation term; not usually present in thermal radiation problems, is differenced using a fully implicit scheme. A sequential multigrid scheme is applied to solve the nominally linear set. Isotropic scattering due to a variety of mechanisms such as impurity and Umklapp scattering is considered. The numerical scheme is applied to a variety of sub-micron conduction problems, both unsteady and steady. Favorable comparison is found with the published literature and with exact solutions.

Numerical Study on Radiation Heat Transfer in Diesel Engine With 3D Unstructured Finite Volume Method

2013 ◽  
Author(s):  
Pingjian Ming ◽  
Yafei Jiao ◽  
Yongfeng Liu ◽  
Lirong Fu ◽  
Gongmin Liu ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Diesel Engine ◽  
Numerical Method ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Study ◽  
Radiation Heat Transfer ◽  
Radiation Heat ◽  
Volume Method ◽  
Unstructured Finite Volume Method

In this paper, a numerical method based on finite volume method for diesel engine is presented. The production of combustion is assumed to be a grey medium and the scatter of particle is neglected. In this paper the unstructured finite-volume method (UFVM) for radiation has been formulated and implemented in an in-house fluid flow solver GTEA. For its comparison and validation of the present FVM on unstructured grids, a test case with 3D complex geometries is chosen, which was used by S. W. Baek et.al.[1]. The results obtained by the presented FVM agree well with the exact solutions. Radiation heat transfer in TBD620 diesel engines is studied with present numerical method. It is shown that the radiation has little effect on average pressure and temperature, but it changes the temperature distribution in cylinder.

Radiative Heat Transfer in Periodic Geometries Using a Finite Volume Scheme

1999 ◽  
Vol 121 (2) ◽  
pp. 357-364 ◽  
Author(s):  
S. R. Mathur ◽  
J. Y. Murthy
Keyword(s):  
Heat Transfer ◽  
Finite Volume ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Radiant Energy ◽  
Finite Volume Scheme ◽  
Angular Domain ◽  
Volume Scheme ◽  
Control Volumes ◽  
Angular Discretization

A procedure for computing radiative heat transfer in translationally and rotationally periodic geometries is presented. The finite volume scheme is applied to meshes composed of arbitrary polyhedral control volumes. The angular domain is discretized into a finite number of control angles over which radiant energy is conserved. At periodic boundaries, control angle overhang occurs because of the misalignment of the arbitrary periodic face with the global angular discretization and due to the arbitrary rotation of adjacent modules with respect to each other. A discretization scheme using control angle pixelation is developed to conservatively transfer radiant energy between adjacent modules. The method is tested for a variety of radiation problems and shown to perform satisfactorily.

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