Centrifugal pump (IH)#

block — Block appearance in REPEAT VISION#

The unit describes the centrifugal pump operation.

Pump pressure increment is described by the formula (1) :

(1)#\[ \Delta P = \Delta H_{ref}(q) \ \cdot \rho \cdot g \cdot (\frac{\omega}{\omega_{ref}})^2 \cdot (\frac{D}{D_{ref}})^2 \]

where:

\(\Delta H_{ref}(q)\) – pressure characteristic is determined by volumetric flow rate by square interpolation based on three initial points - maximum head at zero flow rate, nominal head and maximum flow rate at zero head;

\( ho\) – fluid density, [kg/m\(^3\)];

\(g\) – gravity acceleration, [m/s\(^2\)];

\(\omega\) – shaft angular speed, [rad/s];

\(\omega_{ref}\) – reference shaft speed, [rad/s];

\(\frac{D}{D_{ref}}\) – impeller diameter scale factor.

Volumetric flow rate is defined as (2) :

(2)#\[ q = \frac{\dot{m}}{\rho}\cdot \frac{\omega_{ref}}{\omega}\cdot (\frac{D_{ref}}{D})^3\]

where \(\dot m\) – mass flow rate of liquid, [kg/s].

The shaft force torque is determined by the formula (3):

(3)#\[ \tau = W_{brake,ref} \cdot \frac{\omega^2}{\omega_{ref}^3} \cdot (\frac{D}{D_{ref}})^5 \]

where \(W_{brake,ref}\) – nominal brake power, [W].

1. Properties#

Property	Default value	Description	Units of measurement
Nominal capacity	45	-	lpm
Nominal head	40	-	m
Nominal brake power	850	-	W
Maximum head at zero capacity	60	-	m
Maximum capacity at zero head	80	-	lpm
Reference shaft speed	29.5	-	rps
Minimum shaft speed threshold vs reference	0.01	-	-
Impeller diameter scale factor	1	-	-

2. Inputs and outputs#

Parameters	Input/Output	Description	Units of measurement	Port type
Input	Input	-	-	Isothermal hydraulics
Shaft angular speed	Input	-	-	Rotational motion
Output	Output	-	-	Isothermal hydraulics

In order to see the connection capabilities of the block, you need to go to page Description of block ports