Two dimensional compressibility

Stanitz, J.D., Two-Dimensional Compressible Flow in Conical Mixed-Flow Compressors, NACA TN-1744, 1948. 

Two-dimensional compressible momentum and energy equations were solved by Asako and Toriyama (2005) to obtain the heat transfer characteristics of gaseous flows in parallel-plate micro-channels. The problem is modeled as a parallel-plate channel, as shown in Fig. 4.19, with a chamber at the stagnation temperature Tstg and the stagnation pressure T stg attached to its upstream section. The flow is assumed to be steady, two-dimensional, and laminar. The fluid is assumed to be an ideal gas. The computations were performed to obtain the adiabatic wall temperature and also to obtain the total temperature of channels with the isothermal walls. The governing equations can be expressed as... 

V. B. Fainerman and D. Vollhardt, Equation of state for monolayers under consideration of the two-dimensional compressibility in the condensed state, J. Phys. Chem. B 107, 3098-3100 (2003). 

Oh S. H. and Jang H. M., Enhanced thermodynamic stability of tetragonal-phase field in epitaxial Pb(Zr,Ti)03 thin films under a two-dimensional compressive stress, Appl. Phys. Lett. 72 (1998) pp.1457-1460. 

Most published computations have dealt with boundary layers. The numerical techniques employed have varied considerably, and hence the computational costs initially varied widely among programs. But now most workers have adopted implicit-difference schemes, with special wall-region treatment as outlined above, and/or a linearized iteration technique (Ml), so that run times are now reasonably uniform. A typical two-dimensional compressible boundary layer can now be treated in under one minute on a typical large computer. 

Fig. 6.9. Prewetting phase diagram for mercury showing liquid-vapor coexistence curve and diameter together with line of prewetting transitions extending from to the prewetting critical point, The dashed extension of the prewetting line indicates loci of maximum two-dimensional compressibility in the supercritical range above Inset, Prewetting layer thicknesses estimated with a slab model as described in text.

For calculations of the rheological dependences for CuEOg according to the theory of Lucassen [57, 58] for non-micellar solution we applied a combined reorientation model with two-dimensional compressibility in state with minimal molar area (O2 as... 

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