Spin and Win
Assume isentropic expansion. For an ideal gas: $$M_m = \sqrt \frac2k-1 \left[ \left( \fracP_mP_s \right)^\frack-1k - 1 \right] $$
You might ask: Why not use commercial CFD or dedicated software like Aspen EDR? ejector design calculation xls
$$P_discharge = P_throat + \eta_d \cdot \frac12 \rho_m (V_2^2)$$ Assume isentropic expansion
A simplified practical approach used in industry XLS templates: Use the by El-Dessouky (2002) for steam-jet ejectors: $$Er = 0.85 \times \left( \fracP_mP_s \right)^0.77 \times \left( \fracP_dP_s \right)^-1.13$$ Ejector Design Calculation XLS: A Comprehensive Guide An
[ M_e = \sqrt\frac2\gamma-1\left[ \left(\fracP_mP_exit\right)^\frac\gamma-1\gamma -1 \right] ] Excel: =SQRT((2/(gamma-1))*((P_m/P_exit)^((gamma-1)/gamma)-1))
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Ejector Design Calculation XLS: A Comprehensive Guide An is a critical tool for engineers specializing in vacuum systems, thermocompressors, or jet pumps. These spreadsheets automate the complex thermodynamic and fluid dynamic equations required to size components such as the motive nozzle, mixing chamber, and diffuser. Key Design Principles of Ejectors