Linearized viscous free mixing with streamwise pressure gradients

Abstract

Sets of similar solutions applicable within a linearized approximation are derived for twodimensional compressible and axisymmetric incompressible viscous free mixing with streamwise pressure gradients Viewed as eigenfunctions these solutions can be superposed to represent arbitrary initial conditions However, it is observed that only one solution of family possesses a net momentum defect (or excess) different from zero This mode decays exponentially in normal direction and has a stronger streamwise persistence than any of other solutions that have exponential normal decays; it is usually referred to as the similar solution