The Structure of Solutions and Numerical Simulation of Steady State Model of JS Fluid

Steady solutions of Johnson-Segalman(JS) model present the steady state flow of the fluid.In this paper,the structure of solutions of steady state model is discussed and the accurate formula of steady solutions of JS model is given.Moreover,a condition is given which is necessary and sufficient for three distinct steady solutions in planar(,)to ex-ist.The JS model is simulated by using Crank-Nicolson finite difference method.