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Commit 2e63da12 authored by wenqing's avatar wenqing
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Merge branch 'CleanupTMDocu' into 'master'

[doc/TM] Drop unused tags documentation.

See merge request ogs/ogs!3457
parents 4e0cd0af fa11ff2f
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Linear expansion changes in one dimension.
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Reference solid density \f$\rho_{\rm SR0}\f$.
The real solid's density (the density of the solid grains) is expressed as:
\f[\rho_{\rm SR} = \frac{\rho_{\rm SR0}}{1 + 3 * \alpha_{\rm T} * \Delta T }\f]
under the assumption of mechanically incompressible solid.
The original Ansatz made is \f[\rho_{\rm SR} = \rho_{\rm SR0} {\rm exp} (-3
\alpha_{\rm T} \Delta T)\f] for large thermal strains. Once we linearize around
\f$\Delta T = 0\f$ and truncate the Taylor series after the first member, the
end result is the above formula \f$\rho_{\rm SR} = \rho_{\rm SR0} / ( 1 + 3
\alpha_{\rm T} \Delta T)\f$. One can also arrive at the result by assuming a
linear volume strain from the start: \f$e = 3 \alpha_{\rm T} \Delta T\f$. The
key assumption is that the solid density is independent of pressure, _i.e._:
\f$\rho_{\rm SR} = \rho_{\rm SR}(T)\f$.
Specific heat capacity is the heat capacity per unit mass of a material.
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Thermal conductivity is the property of a material to conduct heat.
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