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Gate Valve (IL)

Gate valve in an isothermal liquid system

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  • Simscape / Fluids / Isothermal Liquid / Valves & Orifices / Flow Control Valves

  • Gate Valve (IL) block

Description

The Gate Valve (IL) block models flow control by a gate valve in an isothermal liquid network. The valve comprises a round, sharp-edged orifice and a round gate with the same diameter. The gate opens or closes according to the displacement signal at port S. A positive signal retracts the gate and opens the valve.

Opening Area

Gate Valve Opening Schematic

The area open to flow as the gate retracts is:

Aopen=πd024Ashielded,

where d0 is the Valve orifice diameter. The area shielded by the gate in a partially open valve is:

Ashielded=d022cos1(Δld0)Δl2d02(Δl)2,

where Δl is the gate displacement, which is the sum of the signal at port S and the gate offset, which is set by the Gate position when fully covering orifice parameter. The opening area is bounded by the Orifice diameter; for any displacement values larger than the orifice diameter, Aopen is the sum of the maximum orifice area and the Leakage area:

Aopen=π4d02+Aleak.

For any combination of the signal at port S and the gate offset that is less than 0, the minimum valve area is the Leakage area.

Mass Flow Rate Equation

Mass is conserved through the valve:

m˙A+m˙B=0.

The mass flow rate through the valve is calculated as:

m˙=CdAvalve2ρ¯PRloss(1(AvalveAport)2)Δp[Δp2+Δpcrit2]1/4,

where:

  • Cd is the Discharge coefficient.

  • Avalve is the valve open area.

  • Aport is the Cross-sectional area at ports A and B.

  • ρ¯ is the average fluid density.

  • Δp is the valve pressure difference pApB.

The critical pressure difference, Δpcrit, is the pressure differential associated with the Critical Reynolds number, Recrit, which is the flow regime transition point between laminar and turbulent flow:

Δpcrit=πρ¯8Avalve(νRecritCd)2.

Pressure loss describes the reduction of pressure in the valve due to a decrease in area. PRloss is calculated as:

PRloss=1(AvalveAport)2(1Cd2)CdAvalveAport1(AvalveAport)2(1Cd2)+CdAvalveAport.

Pressure recovery describes the positive pressure change in the valve due to an increase in area. If you do not wish to capture this increase in pressure, set Pressure recovery to Off. In this case, PRloss is 1.

Ports

Conserving

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Liquid entry or exit port to the valve.

Liquid entry or exit port to the valve.

Input

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Gate displacement, in m, specified as a physical signal. A positive signal retracts the gate and opens the valve.

Parameters

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Valve open-area diameter.

Gate offset when the valve is closed. A positive, nonzero value indicates a partially open valve. A negative, nonzero value indicates an overlapped valve that remains closed for an initial displacement set by the physical signal at port S.

Sum of all gaps when the valve is in the fully closed position. Any area smaller than this value is saturated to the specified leakage area. This contributes to numerical stability by maintaining continuity in the flow.

Areas at the entry and exit ports A and B, which are used in the pressure-flow rate equation that determines the mass flow rate through the orifice.

Correction factor accounting for discharge losses in theoretical flows. The default discharge coefficient for a valve in Simscape™ Fluids™ is 0.64.

Upper Reynolds number limit for laminar flow through the valve.

Whether to account for pressure increase when fluid flows from a region of smaller cross-sectional area to a region of larger cross-sectional area.

Introduced in R2020a