The heat conduction equation for a two-phase isotropic body
Abstract
Heat conduction equations are derived for a two-phase isotropic solid exhibiting a random structure and constituting a micro-inhomogeneous medium whose physical characteristics are random functions of space coordinates. Heat conduction is described on the basis of a multitemperature homogeneous continuum, with heat conduction equations giving effective characteristics of the medium when the temperatures of the phases are equalized. Heat transfer between phases obeys Henry's law. A problem dealing with the temperature distribution in an infinite two-phase layer at zero surface temperature is worked out by way of illustration.
- Publication:
-
Akademiia Nauk Ukrains koi RSR Dopovidi Seriia Fiziko Matematichni ta Tekhnichni Nauki
- Pub Date:
- January 1977
- Bibcode:
- 1977DoUkr.......49K
- Keywords:
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- Conductive Heat Transfer;
- Heat Transfer Coefficients;
- Temperature Distribution;
- Binary Systems (Materials);
- Correlation;
- Henry Law;
- Isotropic Media;
- Random Variables;
- Stochastic Processes;
- Surface Temperature;
- Temperature Gradients;
- Fluid Mechanics and Heat Transfer