scholarly journals Steady-state heat transport: Ballistic-to-diffusive with Fourier's law

2015 ◽  
Vol 117 (3) ◽  
pp. 035104 ◽  
Author(s):  
Jesse Maassen ◽  
Mark Lundstrom
Keyword(s):  
Steady State ◽  
Heat Transport ◽  
Fourier’S Law ◽  
State Heat ◽  
Steady State Heat ◽  
Fourier's Law

scholarly journals Uncertainties in vertical groundwater fluxes from 1-D steady state heat transport analyses caused by heterogeneity, multidimensional flow, and climate change

2016 ◽  
Vol 52 (2) ◽  
pp. 813-826 ◽  
Author(s):  
Dylan J. Irvine ◽  
Ian Cartwright ◽  
Vincent E.A. Post ◽  
Craig T. Simmons ◽  
Eddie W. Banks
Keyword(s):  
Climate Change ◽  
Steady State ◽  
Heat Transport ◽  
State Heat ◽  
Steady State Heat

Analyzing Numerical Errors in Domain Heat Transport Models Using the CVBEM

1987 ◽  
Vol 109 (2) ◽  
pp. 163-169
Author(s):  
T. V. Hromadka
Keyword(s):  
Exact Solution ◽  
Steady State ◽  
Heat Transport ◽  
Domain Model ◽  
Test Case ◽  
Variable Boundary ◽  
Steady State Condition ◽  
State Heat ◽  
Heat Effects ◽  
Steady State Heat

Besides providing an exact solution for steady-state heat conduction processes (Laplace-Poisson equations), the CVBEM (complex variable boundary element method) can be used for the numerical error analysis of domain model solutions. For problems where soil-water phase change latent heat effects dominate the thermal regime, heat transport can be approximately modeled as a time-stepped steady-state condition in the thawed and frozen regions, respectively. The CVBEM provides an exact solution of the two-dimensional steady-state heat transport problem, and also provides the error in matching the prescribed boundary conditions by the development of a modeling error distribution or an approximate boundary generation. Consequently, this error evaluation can be used to develop highly accurate CVBEM models of the heat transport process, and the resulting model can be used as a test case for evaluating the precision of domain models based on finite elements or finite differences.

Steady state heat transport in 3D heterogeneous porous media

2009 ◽  
Vol 32 (8) ◽  
pp. 1206-1212 ◽  
Author(s):  
Juan J. Hidalgo ◽  
Jesús Carrera ◽  
Marco Dentz
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Heat Transport ◽  
Heterogeneous Porous Media ◽  
State Heat ◽  
Steady State Heat
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