Joint Distribution Function and Temperature Fluctuations

Derived the transport equation by making use of the derivation of the constructed distribution function.Under the derivation of the distribution function we have got a partial differential equation.Then the equation of motion and field equation of temperature and concentrations of particles in presence of Coriolis force have been used in the above equation.Simplifying each term of the equa. in terms of one-point and two-point distribution function and substituting the simplified terms in above equa., we obtained the transport equa. for the joint distribution function of velocity, temperature and concentration of particles in convective turbulent flow in presence of Coriolis force.Then compared the result with the equa. of one-point distribution function in case of zero Coriolis force and negligible diffusivity.The system is unclosed that is why some approximations are required to closed the system of equa. for the joint distribution function.We have obtained the equa. of the decay of temperature fluctuations in homogeneous turbulence before the final period in a rotating system, considering the correlation between fluctuating quantities at 1 points and 3 points for single time.