Nearly incompressible hydrodynamics and heat conduction

Details Nearly incompressible hydrodynamics and heat conduction Nearly incompressible hydrodynamics and heat conduction

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..64.1243z&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 64, March 12, 1990, p. 1243-1246.

Computer Science

Sound

43

Compressibility Effects, Conductive Heat Transfer, Hydrodynamics, Ideal Fluids, Incompressible Flow, Asymptotic Methods, Hydrodynamic Equations

Scientific paper

By means of an asymptotic analysis, two distinct approaches to incompressibility are found for a low-Mach-number ideal fluid, distinguished according to the relative magnitudes of temperature, density, and pressure fluctuations. For heat-conduction-dominated fluids, temperature and density fluctuations are predicted to be anticorrelated, and the classical passive scalar equation for temperature is recovered, whereas a generalized 'pseudosound' relationship for the fluctuations is found for heat-conduction-modified fluids, together with a modified thermal equation. The full set of nearly incompressible dynamical equations is described.

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