The equation of motion for a jet of hot gas at a temperature TH (abs.) moving through a colder gas at a temperature T0 (abs.) and a pressure p0 (abs.) is DtDv=01p+v02v+(T0TH1)g, where 0 and v0, respectively, are the density and kinematic viscosity of the gas at T0 and p0, and g=gk is the gravitational acceleration. (a) Let L and V0 be the length and velocity scales for the prescribed flow. Also let 0V02 be the pressure scale, and L/V0 be the time scale. Normalize the equation of motion specified above, and show that the ratio of gravity (buoyancy) to inertia forces acting on a fluid element is V02Lg(T0TH1). The equation of motion for a jet of hot gas at a temperature TH (abs.) moving through a colder gas at a temperature T0 (abs.) and a pressure p0 (abs.) is DtDv=01p+v02v+(T0TH1)g, where 0 and v0, respectively, are the density and kinematic viscosity of the gas at T0 and p0, and g=gk is the gravitational acceleration. (a) Let L and V0 be the length and velocity scales for the prescribed flow. Also let 0V02 be the pressure scale, and L/V0 be the time scale. Normalize the equation of motion specified above, and show that the ratio of gravity (buoyancy) to inertia forces acting on a fluid element is V02Lg(T0TH1)