Numerical solution to the radiation heat- transfer equation for scattering medium.

AIAA Journal ◽  
1968 ◽  
Vol 6 (9) ◽  
pp. 1748-1752 ◽  
Author(s):  
F. SHAHROKHI ◽  
P. WOLF
Keyword(s):  
Heat Transfer ◽  
Numerical Solution ◽  
Transfer Equation ◽  
Radiation Heat Transfer ◽  
Heat Transfer Equation ◽  
Scattering Medium ◽  
Radiation Heat

Scaling Anisotropic Scattering in Radiation Heat Transfer for a Planar Medium

1982 ◽  
Vol 104 (1) ◽  
pp. 68-75 ◽  
Author(s):  
H. Lee ◽  
R. O. Buckius
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Anisotropic Scattering ◽  
Isotropic Scattering ◽  
Scattering Medium ◽  
Radiation Heat ◽  
Scattering Problems ◽  
Solution Methods ◽  
The One ◽  
Planar Medium

Radiation heat transfer in a planar participating medium which scatters anisotropically is scaled to an isotropically scattering medium. Only isotropic scattering problems need to be solved with a scaled optical depth and albedo. The scaling is derived from approximate solution methods to the equation of transfer. From the P-1 approximation, the two-flux method, and the modified linear anisotropic scattering model, three scalings are derived. The scaling that gives the best results when comparing the scaled solutions to exact solutions is the one derived from the P-1 approximation.

scholarly journals Thermal Modelling of the Torrefaction Process Using the Finite Element Method

2021 ◽  
Vol 25 (1) ◽  
pp. 736-749
Author(s):  
Alok Dhaundiyal ◽  
Laszlo Toth
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Thermal Behaviour ◽  
Transfer Equation ◽  
Thermal Characteristic ◽  
Heating System ◽  
Heat Transfer Equation ◽  
The Finite Element Method

Abstract This paper focuses on the thermal characteristic of the torrefied pinecone pellets. The resistivity heating system was used for torrefaction purposes. The torrefaction was conducted at 523 K for different holding times of 5, 10 and 15 minutes. The thermal behaviour of the pinecone pellet was numerically predicted using the pdepe algorithm. A parabolic 2-D heat transfer equation was used to estimate the thermal profile across the pinecone. The effect of the interactive atmosphere was on the numerical solution was also examined. The pelletisation was performed using a ring-die at the temperature of 70 °C.

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