Fluid mechanics provides the mathematics that gives acceptance to the behavior of fluids. In the case of lava lambs, there are some tension between wax, water, and oil, and that tension creates the interaction between molecules. Thus, the droplets emerge, and all these are related to the fluid mechanics. Since there is movement in this system, it can be called fluid dynamics.
In this experiment, I have used alka-seltzer tablets as the heat source in the real lava lamb, and water and oil for the fluids with different densities. So, this is a home-made lava lamp. You can find all the details  of experiments and Java scripts in the experiment report.