Turbulence is seen as one of the last outstanding unsolved problems in classical physics. In the last century, great minds viz, Heisenberg, von Weizs"acker, Kolmogorov, Prandtl and G.I. Taylor had worked on it. Einstein put his last postdoc Bob Kraichnan on the subject of Turbulence. Despite the fact that isotropic turbulence constitutes the simplest type of turbulent flow, it is still not possible to render the problem analytically traceable without introducing the two point double and triple longitudinal velocity correlations to admit self-similarity solution with respect to a single length-scale, which has served as a useful hypothesis since its inception by von Karman and Howarth (1938). Rapid development of experimental and numerical techniques in this area and the growth of computing power created a lot of activities on turbulence research. Here authors have elaborated a debated concept Loitsiansky’s type of invariant associated with turbulent study from analytical point.
