A class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity

The objective of this paper is to indicate a class of new exact solutions of the equations governing the steady plane flows of incompressible fluid of variable viscosity. The class consists of the stream function characterized by equation (2). Exact solutions are determined for and When is arbitrary we can construct an infinite set of streamlines and the velocity components, viscosity function, generalized energy function and temperature distribution . Therefore, an infinite set of solutions to flow equations. When is not arbitrary, there are two values of and therefore, two exact solutions to flow equations. The streamlines are presented through Fig.(1–56) for some chosen from of f(r).