Abstract
An analytical solution (in the form of a Neumann series) of the problem of rarefied gas flow in a plane channel with infinite walls in the presence of a pressure gradient (Poiseuille flow) parallel to them is constructed within the framework of the kinetic approach in an isothermal approximation. The ellipsoidal-statistical model of the Boltzmann kinetic equation and the diffuse reflection model are used as the basic equation and the boundary condition, respectively. Using the resulting distribution function, the mass and heat flux densities in the direction of the pressure gradient per unit channel length in the y′ direction are calculated, and profiles of the gas mass velocity and heat flux in the channel are constructed. The results obtained for the continuum and free-molecular flow models are analyzed and compared with similar results obtained by numerical methods.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
