Force and mass balances of the incompressible, isothermal, planar laminar jet issuing from a finite source

Abstract

Abstract A mathematical solution to the velocity and concentration distributions of an incompressible, isothermal, planar laminar jet issuing from a long rectangular slot into quiescent surroundings of the same density is presented. The features of the solution are : concentration and velocity distributions remain finite back to the orifice ; the orifice is finite in width ; the change in concentration distribution, which is flat at the orifice, and the change in the velocity distribution from the Poiseuillian form at the orifice are taken into account. The present solution for velocity distribution is a modification of that of O kabe [8, 9] who solved for the velocity distribution in a viscous jet for flow from a nozzle which provides a uniform velocity profile at the throat. Previous analyses of the planar, laminar jet assumed the jet to originate from a line source. A ndrade [1] reported experimental velocity distribution measurements of a laminar jet issuing from a nozzle under conditions similar to those specified by the theoretical studies of O kabe . The results of these two investigations are compared here after extension of numerical values of the essential parameters beyond those originally published.