Consider a compressible fluid flowing through a nozzle with a converging-diverging geometry. The fluid has a stagnation temperature \(T_0\) and a stagnation pressure \(p_0\) . The nozzle is characterized by an area ratio \(\frac{A_e}{A_t}\) , where \(A_e\) is the exit area and \(A_t\) is the throat area.
The volumetric flow rate \(Q\) can be calculated by integrating the velocity profile over the cross-sectional area of the pipe: advanced fluid mechanics problems and solutions
Evaluating the integral, we get:
Consider a two-phase flow of water and air in a pipe of diameter \(D\) and length \(L\) . The flow is characterized by a void fraction \(\alpha\) , which is the fraction of the pipe cross-sectional area occupied by the gas phase. Consider a compressible fluid flowing through a nozzle
This is the Hagen-Poiseuille equation, which relates the volumetric flow rate to the pressure gradient and pipe geometry. The volumetric flow rate \(Q\) can be calculated