What is the equation for estimating the specific speed of a pump or turbine?
The specific speed is a function of the impeller geometry and streamlines, and essentially defines the shape of the four-quadrant representation of the pump. HAMMER needs this additional information because of the possibility of reverse flow and speed during a transient simulation. Each Specific Speed corresponds to an internal curve whose values are a percentage of the "rated" flow, head and speed. The "rated" conditions are from the initial conditions calculation - the pump's initial head, flow and speed. So, it is important that the pump be operating at or near its best efficiency point during the initial conditions, so as not to skew the four-quadrant representation.
The Specific Speed can be estimated with the following equations if it is not available from the manufacturer:
Ns is specific speed (rpm)
N is pump rotational speed (rpm)
Q is flow rate (m3/s or gpm) at the point of best efficiency
H is total head (m or ft) per stage at the point of best efficiency
In US units n is in rpm, P is in hp, and H is in ft.In SI units n is in rpm, P is in kW, and H is in m.
For turbines, there are three different specific speeds available to choose from: “SI=115, US=30,” “SI=170, US=45,” and “SI=230, US=60.”
Note: In a case where you need to have a specific four-quadrant curve not represented by the choices above, it is possible to create a custom four-quadrant curve. Please see the Help topic “Pump and Turbine Characteristics in Bentley HAMMER” for details. Note that the data that you enter for custom quadrant curves is unitless - it represents the shape of the curve, which is applied to the initial head drop and flow across the turbine to construct the characteristics curve (with units) used during the simulation.
For more, see Help topic "Specific Speed"
Using Turbines in Bentley HAMMER
Source of Specific Speeds
Pump Flow Calculation During a Transient Simulation