Steady-state Green’s function solution for moving media with axial conduction

The objective of this presentation is the development of a generalized steady-state Green’s function solution to study the temperature field in moving bodies. This type of solution permits the inclusion of different non-homogeneous boundary conditions, volumetric heat sources, and possible position-...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2010-06, Vol.53 (13), p.2583-2592
Main Authors: Haji-Sheikh, A., Beck, J.V., Cole, K.D.
Format: Article
Language:English
Subjects:
Axial conduction
Computational fluid dynamics
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fluid flow
Fluids
Fundamental areas of phenomenology (including applications)
Green's functions
Heat conduction
Heat transfer
Mass transfer
Mathematical analysis
Mathematical models
Moving boundary
Physics
Slug flow
Thermal entrance
Thermophysical properties
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Summary:The objective of this presentation is the development of a generalized steady-state Green’s function solution to study the temperature field in moving bodies. This type of solution permits the inclusion of different non-homogeneous boundary conditions, volumetric heat sources, and possible position-dependent thermophysical properties. Although the mathematical formulation is for moving solids, it can be used to study the heat transfer in a moving fluid with a non-uniform velocity distribution passing through a micro-channel or fluid-saturated porous ducts. Additionally, this presentation includes the application of this Green’s function solution to acquire numerical information for selected examples to further illustrate the numerical details.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2009.11.009