Heat and mass transfer in Jeffery-Hammel flow: Comparison between the new and classical simulations

Abstract

The well-known classical Jaffery-Hammel flow model of converging and diverging channel in plan Polar Coordinates is reformulated in Cartesian Coordinates with the additional effects of heat and mass transfer. Second, concept of wedge flow is explained in view of Blasius variables in 1931 and it is strictly presented in Cartesian Coordinates. This classical problem of blasius is reformulated with the additional effects of heat and mass transfer in terms of Cartesian Coordinated system, whereas, the classical boundary layer approximations are not taken into account. The well-known two dimensional form of four governing equations are taken in Cartesian Coordinates, whereas, no restrictions have been imposed on the velocity components. The PDE’s are transformed into non-linear coupled ODE’s of variable coefficients. Later on, another set of transformation is found and the non-linear ODE’s with variable coefficients are transformed into ODE’s of constant coefficients and the modeled problem is exactly matched with the classical simulation of converging and diverging flow. Moreover, the problem is solved by different methods and effects of different parameters are seen on field variables.