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Cattaneo equation

Equation (559) coincides with the Maxwell-Cattaneo equation [254],... [Pg.269]

To derive Eq. (6), we imposed causality into the relationship between j and Vh inspired by the microscale heat transfer theory or Cattaneo equation. ... [Pg.3079]

This is the Cattaneo equation [10], which, in combination with the following energy conservation equation,... [Pg.636]

As a second approach, we use reaction-Cattaneo equations, see Sect. 2.2.2, to study the effect of inertia on Turing instabilities [206]. The uniform steady state of the two-species reaction-Cattaneo system. [Pg.299]

As for HRDEs, the Turing condition C4 = 0 for the reaction-Cattaneo system leads to exactly the same conditions as for the standard reaction-diffusion equation, namely (10.42) and (10.40) the Turing condition is independent of r and ty for reaction-Cattaneo equations. As for HRDEs, the spatial Hopf bifurcation cannot occur in the regime of small inertia, if (10.23) is satisfied. [Pg.300]

The above equation is known as Cattaneo equation similar to equation (8.13). The ID energy equation is written as... [Pg.326]

Combining Cattaneo equation with energy equation, we get... [Pg.326]

See other pages where Cattaneo equation is mentioned: [Pg.16]    [Pg.89]    [Pg.481]    [Pg.638]    [Pg.38]    [Pg.40]    [Pg.164]    [Pg.110]    [Pg.89]    [Pg.159]   
See also in sourсe #XX -- [ Pg.8 , Pg.12 ]

See also in sourсe #XX -- [ Pg.38 , Pg.40 , Pg.164 ]



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Maxwell-Cattaneo equation

Reaction-Cattaneo equation

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