Pick any property of statistically steady, forced turbulence that you understand and can reproduce with whatever program you are using. Then change the flow's forcing to one periodic in time [pulsating] with the same mean as before. Describe the differences in flow's time averaged statistics observed.
There is an interesting topic in turbulence in relation with population dynamics. The question that one may ask is: how does a population of phytoplankton or zoo-plankton behave when it is transported by turbulent flow in a marine environment? You need some technical prerequisites in particles in turbulence to model this kind of phenomena. Usually the physics can be well described when the population size is small enough through the Fisher-Kolmogorov equation in order to take into account the effects of diffusion (swimming) and reproduction as well as the turbulent advection effect. Please do not hesitate to contact me if you need further information about this suggested topic! I can provide you by some interesting papers!
As listed in the KIIT University website there is a Department of Metallurgical Engineering. Problems are suitable for casting turbulence models, since they are relatively low Reynolds, which does not require great computing capacity, but otherwise the variation in rheological properties of the molten metal is extremely interesting. Furthermore, the thermodynamic processes are also important, logo gives an intriguing issue and possible resolution.
If you see the monumental book by Hinze, Turbulence, an introduction to its mechanism and theory, then with the help of a friend you will find your way out. It is difficult and you need a lot of good luck.