Jet with variable fluid properties: Free jet and dissipative jet

An analysis of the laminar jet of an incompressible Newtonian fluid emerging from a narrow slot or a circular hole, where the physical properties like viscosity and thermal conductivity depends upon the temperature, is given. Both the cases: the case of In the absence of viscous heat dissipation and the case of In the presence of viscous heat dissipation are considered. The governing partial differential equations of the flow problem are transformed into the ordinary differential equations by group theoretic technique. The Runge–Kutta method is applied to obtained numerical solution of the transformed ordinary differential equations.