Ideal flow rate source (P)#

The Ideal flow rate source (P) block represents the ideal source of mechanical energy in a pneumatic network.

Hint

The source can maintain a predetermined mass flow regardless of the differential pressure.

Important

There is no flow resistance and heat exchange with the environment in the block.

Hint

The block can operate with and without performing work on gas.

If the mode with isentropic work is selected, then the following expression is valid for an ideal gas (1) :

(1)#\[\frac{p_A^{\frac{\gamma -1}{\gamma}}}{T_A}=\frac{p_B^{\frac{\gamma -1}{\gamma}}}{T_B}\]

where:

\(\gamma=\frac{c_p}{c_v}\)

\(C_p\) – molar heat capacity at constant pressure, [\(\frac{J}{mol\cdot К}\)];

\(C_V\) – molar heat capacity at constant volume, [\(\frac{J}{mol\cdot К}\)];

\(p_A\) – inlet pressure, [Pa];

\(p_B\) – outlet pressure, [Pa];

\(T_A\) – inlet temperature, [K];

\(T_B\) – outlet temperature, [K].

Work in progress (2) :

(2)#\[\phi_{раб}==\dot m_A \cdot (h_A+\frac{w_А^2}{2})-\dot m_B\cdot (h_B+\frac{w_B^2}{2})\]

where:

\(\dot m_A\), \(\dot m_B\) – mass flow rate at inlet and outlet, [kg/s];

\(h_A\), \(h_B\) – gas enthalpy at inlet and outlet, [kJ/kg];

\(w_A\), \(w_B\) – gas velocity at inlet and outlet, [m/s].

Then the energy conservation equation (3) :

(3)#\[\phi_A+\phi_B+\phi_{раб}=0\]

where:

\(\phi_A\) – input energy flow, [W];

\(\phi_B\) – output energy flow, [W];

\(\phi_{oper}\) – power transmitted to gas, [W].

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

1. Properties#

Property	Default Value	Description	Units of measurement
Source type: Constant; Controlled	Constant	-	-
Mass flow rate, available when `Source type` - `Constant`	1.0	-	kg/s
Power added: Isentropic; None	Isentropic	-	-
Input port cross-sectional area	0.01	-	m\(^2\)
Output port cross-sectional area	0.01	-	m\(^2\)

Parameters	Input/Output	Description	Units of measurement	Port type
Mass flow rate, available when `Source type` - `Controlled`	Input	-	kg/s	Automation
Input	Input	-	-	Pneumatics
Output	Output	-	-	Pneumatics

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