We investigate the half-space problem of evaporation and condensation in the scope of discrete kinetic theory. Exact solutions are found to the boundary value problem and the initial boundary value problems of the flow in the half space for a discrete velocity model. The results are used to analyze the transition of the unsteady solutions towards steady states.
On étudie dans le cadre de la théorie cinétique discrète les phénomènes d'évaporation et de condensation dans le demi-espace. Des solutions exactes sont trouvées pour le problème aux valeurs initiales et aux limites de l'écoulement dans le demi-espace pour un modèle discret et on analyse leur convergence vers les solutions du problème aux limites stationnaire.
Accepted:
Published online:
Mots-clés : Mécanique des fluides, Solutions exactes, Demi-espace, Evaporation, Condensation
Amah d'Almeida 1
@article{CRMECA_2008__336_7_612_0, author = {Amah d'Almeida}, title = {Transition of unsteady flows of evaporation to steady state}, journal = {Comptes Rendus. M\'ecanique}, pages = {612--615}, publisher = {Elsevier}, volume = {336}, number = {7}, year = {2008}, doi = {10.1016/j.crme.2008.04.006}, language = {en}, }
Amah d'Almeida. Transition of unsteady flows of evaporation to steady state. Comptes Rendus. Mécanique, Volume 336 (2008) no. 7, pp. 612-615. doi : 10.1016/j.crme.2008.04.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.04.006/
[1] Rarefied Gas Dynamics, vol. 2 (V. Boffi; C. Cercignani, eds.), Teubner, Stuttgart, 1986, pp. 323-333
[2] Adiabatic Waves in Liquid–Vapor Systems (G.E.A. Meier; P.A. Thompson, eds.), Springer, Berlin, 1990, pp. 293-304
[3] Phys. Fluids A, 3 (1991), pp. 2260-2275
[4] Phys. Fluids A, 2 (1990), pp. 1867-1878
[5] Phys. Fluids, 13 (2001), pp. 324-334
[6] J. Rech. Sci. Univ. Lomé, 5 (2001), pp. 167-174
[7] M3AS, 13 (2003), pp. 99-119
[8] Lecture Notes on the Discretization of the Boltzmann Equation (N. Bellomo; R. Gatignol, eds.), World Scientific, 2003, pp. 289-294
[9] Mech. Res. Com., 34 (2007), pp. 405-409
[10] Eur. J. Mech. Fluids B, 13 (1994), pp. 685-699
[11] Eur. J. Mech. Fluids B, 21 (2002), pp. 355-370
Cited by Sources:
Comments - Policy