Transient heat transfer in a spherical protective material, submitted to flux and mixed boundary conditions: an investigation on zirconia

2005 ◽  
Vol 93 (4) ◽  
pp. 461-472 ◽  
Author(s):  
Parham Sadooghi
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Transient Heat Transfer ◽  
Protective Material

scholarly journals Benchmark Studies for the Generalized Streamwise Periodic Heat Transfer Problem

2008 ◽  
Vol 130 (11) ◽  
Author(s):  
Steven B. Beale
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Transfer Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Wall Boundary Conditions ◽  
Engineering Problems ◽  
Complex Engineering ◽  
The Common ◽  
Periodic Heat

This is a comparison of calculations performed with a scheme for handling streamwise-periodic boundary conditions with known solutions to the common problem of fully developed heat transfer in a plane duct. Constant value, constant flux, mixed boundary conditions, and linear wall flux (conjugate heat transfer) are all considered. Agreement is, in every case, near exact showing that the methodology may be applied with confidence to complex engineering problems with a variety of thermal wall boundary conditions.

On the Boundary Conditions for Heat Transfer Using Immersed Boundary Methods

2006 ◽  
Author(s):  
J. Rafael Pacheco ◽  
Tamara Rodic ◽  
Arturo Pacheco-Vega
Keyword(s):  
Heat Transfer ◽  
Boundary Conditions ◽  
Mixed Boundary ◽  
Numerical Data ◽  
Mixed Boundary Conditions ◽  
Heat Diffusion ◽  
Special Treatment ◽  
Immersed Boundary ◽  
Immersed Boundary Methods ◽  
Transfer Problems

We describe the implementation of a general interpolation technique which allows the accurate imposition of the Dirichlet, Neumann and mixed boundary conditions on complex geometries when using the immersed boundary technique on Cartesian grids. The scheme is general in that it does not involve any special treatment to handle either one of the three types of boundary conditions. The accuracy of the interpolation algorithm on the boundary is assessed using three heat transfer problems: (1) forced convection over a cylinder placed in an unbounded flow, (2) natural convection on a cylinder placed inside a cavity, and (3) heat diffusion inside an annulus. The results show that the accuracy of the scheme is second order and are in agreement with analytical and/or numerical data.

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