What is Jacjobs number?

Jacobi's number, often referred to in the context of fluid dynamics, is a dimensionless number that characterizes the relative effects of buoyancy and inertial forces in a fluid flow. It is particularly relevant in situations involving convection, where temperature differences lead to density variations in the fluid. The Jacobi number is defined as the ratio of the thermal diffusion time scale to the time scale of advection. It helps in understanding the stability and behavior of thermal plumes in various engineering and environmental applications.