Centrifugal pump (TL)#

The unit describes the centrifugal pump operation.

(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:

\( ho\) – 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.

(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].

(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].

(4)#\[\dot{m_A}+ \dot{m_B}=0 \]

(5)#\[\phi_A+\phi_B=0\]

where:

\(\phi_A\) - energy flow at the input, [W];

\(\phi_B\) - energy flow at the output, [W].

1. Properties#

Property	Default value	Description	Units of measurement
Nominal capacity	45.0	-	lpm
Nominal head	40.0	-	m
Nominal brake power	850.0	-	W
Maximum head at zero capacity	60.0	-	m
Maximum head at zero head	80.0	-	lpm
Reference shaft speed	29.5	-	rps
Minimum shaft speed threshold vs reference	0.01	-	-
Scaling factor	1.0	-	-
Ports cross sectional area	0.1	-	m\(^2\)

Parameters	Input/output	Description	Units of measurement	Port type
Input	Input	-	-	Thermohydraulics
Angular velocity	Input	-	rad/s	Rotational motion
Output	Output	-	-	Thermohydraulics

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

С примерами использования данного блока можно ознакомиться в следующих разделах:

Практическое руководство

Раздел	Название руководства
Энергетика	Development of a model of the industrial circuit system of oil coolers of NPP with WCWR