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important to the performance of a centrifugal compressor. Hub diameter will be determined by the diameter of the shaft and whether or not the shaft must protrude through the hub (as in a multistage design, for example). This determination will have to be made by the user, considering torque, materials and the configuration of the system. The code uses the input parameters to determine the diameter of the blade tips that the impeller must have in order to accommodate the design mass flow rate at the inlet, given the velocity and density of the fluid. The calculation is among the most simple in the entire code, basing inducer size on the mass flow rate, the designerβs chosen number of blades and the dimension for blade thickness. Inducer blade tip diameter is determined by π π·1π 2 βπ π·1π» 2 βπ1(π·1π βπ·1π»)π‘πΏπΈ = π Eqn.3-5 44 ππ1 where D1T is the tip diameter, D1H is the hub diameter, Z1 is the number of blades, tLE is the leading edge thickness of the blades and V1 is the inlet velocity at the RMS radius. This is just a statement of conservation of mass. These calculations are contained in the subroutine INLET and the velocity triangle is computed in the subroutine INLET_TRI. To calculate the velocity triangle at the outlet, a phenomenon known as βslipβ must be understood. The meridional plane is defined in centrifugal compressor design as the plane that contains the axis of rotation. At the inducer, the meridional direction is the same as the axial direction and at the impeller outlet, it is equivalent to the radial direction. Based on conservation of mass as the flow progresses in the meridional direction, the velocity triangle at impeller outlet can be determined. Observed impeller performance, however, reveals that the flow βslipsβ as shown in Figure 3.8. Slip is the result of pressure gradients at the blade passage outlet and is explained in more detail in [Cumpsty, 2004]. 56PDF Image | Supercritical Carbon Dioxide Cycle Analysis
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