Normal solutions of the Boltzmann equation for highly nonequilibrium Fourier flow and Couette flow

Couette flow of a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation

A concise and accurate solution to the problem of plane Couette flow for a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation and general (specular-diffuse) Maxwell boundary conditions for each of the two species of gas particles is developed. An analytical version of the discrete-ordinates method is used to establish the velocity, heat-flow, and shearstress pro...

Nonequilibrium velocity fluctuations and energy amplification in planar Couette flow.

In this paper we investigate intrinsic thermally excited nonequilibrium velocity fluctuations in laminar planar Couette flow. For this purpose we have complemented the solution of the stochastic Orr-Sommerfeld equation for the intensity of the fluctuations of the wall-normal velocity, presented in a previous publication, with a solution of the stochastic Squire equation for the intensity of the...

Lattice Boltzmann Equation for Laminar Boundary Flow

A simple method based on the lattice Boltzmann equatio n is presented for the evaluati on of the velocity profile of fluid flows near walls or in the vicinity of the interface between two fluids. The met hod is applied to fluid flow near a wall, to channel flow, and to the transition zone between two fluids flowing parallel to each other in opposite direct ions. The results show good agreement ...

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow

Approximate Solutions for the Couette Viscometry Equation

The recovery of flow curves for non-Newtonian fluids from Couette rheometry measurements involves the solution of a quite simple first kind Volterra integral equation with a discontinuous kernel for which the solution, as a summation of an infinite series, has been known since 1953. Various methods, including an Euler–Maclaurin sum formula, have been proposed for the estimation of the value of ...