Mass velocity of Bose-gas in the problem about isothermal sliding

TL;DR

This paper analytically investigates the mass velocity distribution of quantum Bose-gas near a wall, deriving velocity profiles and comparing them with Fermi-gases, based on solutions to Kramer's problem.

Contribution

It provides an analytical solution for the mass velocity of Bose-gas in half-space and compares velocity coefficients with Fermi-gases.

Findings

Velocity at the wall is determined.

Velocity gradient far from the wall is established.

Comparison with Fermi-gases shows differences in velocity coefficients.

Abstract

Distribution of mass velocity of quantum Bose-gas in half-space is received. Far from half-space border the gradient of mass velocity is set. The mass velocity of Bose-gas directly at a wall is found also. All results are received on basis of the analytical solution of Kramer's problem. The analysis of dependence of velocity coefficients from parametre quantity is carried out. The parametre representing the relation of chemical potential to product of Boltzmann constant on absolute temperature. Graphic comparison of coefficients of velocity Bose- and Fermi-gases is resulted.