The Study of similarity Transformation Method has played a remarkable role of dealing with many immediate theoretical and practical applications in our life problems, such as physical and engineering problems .This method find the solution for the complicated problems which contains coupled higher non linear partial differential equations. By using this method we can seek a solution to spherical fluid spheres models. In this paper we found a new solution and analyzed it with respect to its physical acceptability conditions .Here we deals with a perfect fluid distribution described a metric in the non conformally flat form ,it has been a subject of interest. The science of hydrodynamics deals with motion of fluids which is defined as a collection of molecules . All liquids are compressible to a slight extent, but for many purposes it is simpler to consider the liquid as being incompressible. However the pressure is the same in all directions for a perfect fluid. .