The thermodynamic stability of coupled heat and mass transfer described by linear wave equations

✍ Scribed by StanisŁaw Sieniutycz

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 414 KB
• Volume: 36
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(81)80151-0

✦ Synopsis

A-et-Applying Liapounov' s direct method it was shown that the distributed steady states, approached by the solutions of the non-Fourier (wave) equations of energy and mass transfer, are always stable if the well-known classical thermodynamics criterion of stability-the negativity of thermostatic matrix C. is met. The assumptions associated with the simalest structure of the wave eauations are revealed on the basis of the thermodynamic stability analysis. _ 1. IN'IRODUCTION In view of limitations of the classical transport theory to low frequencies and disturbances of low amplitude the wave equations of heat have been recently advocated since they take into account the inertial (relaxation) effects and provide the finite propagation speed of disturbances even in linear case, see, e.g. Cattaneo[l], Luikov[Z], Bubnov[3], Nettleton[4], Gyarmati[S], Sieniutycz[6] and others. The theory of coupled wave equations was formulated in matrix form describing the relaxation effects in the simultaneous heat and mass transfer.