The rate of change of gas mass within the cavity is the difference between leakage into and out of the cavity:
[ \dotm = A_leak \cdot p_u \sqrt\frac2\kappa(\kappa-1)RT_u \left[ \left( \fracp_dp_u \right)^\frac2\kappa - \left( \fracp_dp_u \right)^\frac\kappa+1\kappa \right] ]
+------------------ Casing Wall ------------------+ | ____ ____ | | / \ / \ | | | Male | <--- Intermeshing ------> | Female | | | | Rotor | Clearance Zone | Rotor | | | \ ____ / \ ____ / | | <- Interlobe Space -> | +-------------------------------------------------+ Profile Generation Mechanics Screw Compressors - Springer Nature
Screw Compressors- Mathematical Modelling And Performance Calculation
The rate of change of gas mass within the cavity is the difference between leakage into and out of the cavity:
[ \dotm = A_leak \cdot p_u \sqrt\frac2\kappa(\kappa-1)RT_u \left[ \left( \fracp_dp_u \right)^\frac2\kappa - \left( \fracp_dp_u \right)^\frac\kappa+1\kappa \right] ] The rate of change of gas mass within
+------------------ Casing Wall ------------------+ | ____ ____ | | / \ / \ | | | Male | <--- Intermeshing ------> | Female | | | | Rotor | Clearance Zone | Rotor | | | \ ____ / \ ____ / | | <- Interlobe Space -> | +-------------------------------------------------+ Profile Generation Mechanics Screw Compressors - Springer Nature The rate of change of gas mass within