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 [6].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 [5].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 [2]. 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. [8].