Numerical tests of a new moleculedependent momentum transport equation
Abstract
It is shown that a new incompressible fluid equation is obtained by inclusion of a new dimensionless coupling parameter in the momentum transport equation derived in [L. Jirkovsky, L. Boot, Momentum transport equation for the fluids using projectionperturbation formalism and onset of turbulence, Physica A 352 (2005) 241251] from the Boltzmann kinetic equation where the Boltzmann collision integral includes inelastic interactions of quantum origin among the particles of the fluid. Numerical results from the equation for the plane and circular Poiseuille flows are consistent with the observations. The numerical tests also manifest a difference in the onset of turbulence between the flat plates and the circular pipe flow systems. Although all obtained velocity profiles are flattened at the centera feature of turbulencethe results demonstrate greater stability of the velocity profiles in the circular pipe flow.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 September 2008
 DOI:
 10.1016/j.physa.2008.05.006
 Bibcode:
 2008PhyA..387.5012J