Engee documentation

Poppet with Conical Seat (IL)

A two-cone disc valve with a conical seat.

blockType: EngeeFluids.IsothermalLiquid.DesignComponents.Poppets.ConicalSeat

Poppet with Conical Seat (IL)

Path in the library:

/Physical Modeling/Fluids/Isothermal Liquid/Valves & Orifices/Spools & Poppets/Fixed Body/Poppet with Conical Seat (IL)

Poppet with Conical Seat with Moving Body (IL)

Path in the library:

/Physical Modeling/Fluids/Isothermal Liquid/Valves & Orifices/Spools & Poppets/Moving Body/Poppet with Conical Seat with Moving Body (IL)

Description

Block Poppet with Conical Seat (IL) It represents a one-dimensional movement of a two-cone poppet valve with a conical seat.

The conical seat poppet valve model is mainly used in injection systems.

The resulting force acting on the valve is due to the pressure force and external forces. This force can be adjusted using hydrodynamic force. It is assumed that the angle of inclination of the jet acting on the valve plate is constant (half the angle of the conical seat).

The movement and speed of the rod are transmitted to the RB port.

If the check box is selected Moving body, then the block is implemented Poppet with Conical Seat with Moving Body (IL) and the body movement is simulated. In this case, the displacement and velocity of the case are transmitted to the CA port.

There are no restrictions on the displacement value in the block, but restrictions can be provided by an attached block using end stops (Translational Hard Stop).

The area of the open opening is a variable related to the movement of the valve plate and the movement of the body, if modeled.

Sometimes it is useful to limit the hole area to a minimum and/or maximum value. The minimum area can be used to simulate a leak or a special flow hole, even when the valve plate is completely adjacent to the seat. The maximum area can be used to simulate the flow area adjacent to the opening when the valve is wide open.

The flow rate is calculated based on the movement of the valve plate.

The figure shows a diagram of a two-cone disc valve with a conical seat and its main parameters.

poppet with conical seat il 1

The figure shows:

  • — the diameter of the cylindrical part of the seat, the value of the parameter Seat cylinder diameter;

  • — the diameter of the cylindrical part of the plate, the value of the parameter Poppet cylinder diameter;

  • — diameter of the plate, parameter value Poppet diameter;

  • — diameter of the cone, parameter value Cone diameter;

  • — the diameter of the hole in the seat, the value of the parameter Seat diameter (hole);

  • — the diameter of the rod, the value of the parameter Rod diameter (seat side);

  • — half the angle of the needle cone, the parameter value Needle cone half angle;

  • — half of the angle of the saddle cone, parameter value Seat half angle.

The diameter values should be determined as follows:

Half of the angle of the needle cone It must be more than half the angle of the saddle cone. . Both angles must be defined in the range [0; 90] degrees.

The equations

If the check box is Moving body removed, and the body movement is not simulated, then the lifting of the two-cone valve is defined as:

where

  • — the rise corresponding to the zero offset, the value of the parameter Lift corresponding to zero displacement;

  • — moving the stem in the RA port.

If the check box is Moving body If the valve body is installed, and the body movement is simulated, then the lift of the two-cone valve is defined as:

where — moving the case in port CA.

The minimum flow area is determined by the curved surface of the truncated cone, as shown in the figure. It is assumed that this surface divides the area occupied by the liquid into two areas with different pressures.

The figure shows a diagram for calculating the flow area of a two-cone disc valve with a conical seat, which has half the angle of the needle. more than half of the saddle angle . If the angle values are equal , then the valve is a conical valve with a conical seat.

poppet with conical seat il 2

Depending on the elevation value, there are two possible ways to calculate the flow area. The effective flow area will be equal to the minimum value between these two options.:

  • If m, the valve is in contact with the seat along the edge of the valve plate. Then, for small values of rises, the flow area is defined as the area calculated from the edge of the valve plate:

    where It is determined from the relations:



  • For large elevation values, the flow area is defined as the area of calculated from the edge of the saddle:

    where defined as:

    a It is determined from the relations:



    The expression for strictly equivalent to the expression given in [3]:

    where calculated as shown in [3]:

Hydraulic diameter it is calculated in a simplified way for a conical valve (with half an angle ) on a saddle with a sharp edge:

In the above model, it is assumed that the lift values are much smaller than the seat diameter.

Lifting value at which the flow area reaches the neck area , is determined numerically and is limited by the area of the neck.

The value used for lifting , is limited by the lower value (parameter value Lift corresponding to minimum area) and the smaller of the values (parameter value Lift corresponding to maximum area) and . Usually it is zero, but it can be set higher to simulate the leakage rate. Meaning usually very large (for example, inf), but a much lower value can be set to simulate an additional hole.

Area value limited by the area of the hole:

If the check box Moving body removed, the volumes of liquid that are discharged to ports A and B are calculated as:



where and — parameter values Volume at port A corresponding to zero lift and Volume at port B corresponding to zero lift, respectively.

If the check box is Moving body installed:



Flow coefficient calculated as:

where

  • — pressure difference between ports A and B;

  • — hydraulic diameter;

  • — kinematic viscosity;

  • — the average density of the liquid.

The average density is calculated at an average pressure .

Expense ratio calculated as:

where

  • — maximum flow rate, parameter value Maximum flow coefficient;

  • — critical flow coefficient, parameter value Critical flow number.

For meaning practically does not change. For low meaning it changes linearly with the change .

A reasonable value the default is 1000. However, for holes with complex (rough) geometry, it may be smaller. 50. For very smooth geometry, it can be set to 50000.

The average fluid velocity is:

The volume consumption is:

where

  • — the area of the passage hole;

  • — the density of a liquid at atmospheric pressure.

If the check box is Moving body if withdrawn, the volume costs in ports B and A are calculated as:



where

  • — liquid density at port pressure B, ;

  • — liquid density at port pressure A, ;

  • — the speed of the rod in the port RA.

If the check box Moving body installed:



where — the speed of the hull in the port CA.

The hydrodynamic force is determined by estimating the change in momentum. This force tends to close the valve. For a steady-state fluid flow, the hydrodynamic force is:

where — the angle of inclination of the jet, equal to half the angle of the saddle cone.

Dependence of the hydrodynamic force from the rise It is defined as follows:

It is assumed that the average pressure is in the port side area, A affects the balance of forces if the lift value is greater than the parameter value. Lift needed for the setting of mean pressure (the transition is assumed to be exponential). The average pressure is determined by the formula:

where — parameter value Lift needed for the setting of mean pressure.

The power in port RA is calculated as:

where — the power that enters the RB port.

If the check box is selected Moving body, and the hull movement is modeled, then the force in the port CA is calculated as:

where

  • ;

  • ;

  • — the power that enters the CB port.

Values and limited from above by the value .

Ports

Conserving

# A — Isothermal liquid port
Isothermal liquid

Details

Isothermal liquid port, corresponds to the inlet or outlet.

Program usage name

port_a

# B — Isothermal liquid port
Isothermal liquid

Details

Isothermal liquid port, corresponds to the inlet or outlet.

Program usage name

port_b

# RA — stock
translational mechanics

Details

Mechanical translational port corresponding to the rod.

Program usage name

rod_flange_a

# RB — stock
translational mechanics

Details

Mechanical translational port corresponding to the rod.

Program usage name

rod_flange_b

# CA — housing
translational mechanics

Details

Mechanical translational port corresponding to the body.

Dependencies

To use this port, check the box Moving body.

Program usage name

case_flange_a

# CB — housing
translational mechanics

Details

Mechanical translational port corresponding to the body.

Dependencies

To use this port, check the box Moving body.

Program usage name

case_flange_b

Parameters

Parameters

# Opening orientation — the direction of movement of the valve corresponding to the opening of the hole
Positive relative rod displacement opens orifice | Negative relative rod displacement opens orifice

Details

The direction of movement of the element corresponding to the opening of the hole:

  • Positive orientation Positive relative rod displacement opens orifice this means that the positive movement of the valve opens the opening.

  • The negative direction Negative relative rod displacement opens orifice this means that the negative movement of the valve opens the opening.

Values

Positive relative rod displacement opens orifice | Negative relative rod displacement opens orifice

Default value

Positive relative rod displacement opens orifice

Program usage name

opening_orientation

Evaluatable

Yes

# Moving body — movable housing

Details

Select this option if you are modeling a movable enclosure.

If the flag is unchecked, it is assumed that the body is stationary.

Default value

Program usage name

moving_case

Evaluatable

Yes

# Poppet cylinder diameter — diameter of the cylindrical part of the valve plate
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Diameter of the cylindrical part of the spool .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

6.0 mm

Program usage name

cylinder_diameter

Evaluatable

Yes

# Poppet diameter — valve plate diameter
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Valve plate diameter .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

5.0 mm

Program usage name

poppet_diameter

Evaluatable

Yes

# Cone diameter — diameter of the cone
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Diameter of the cone .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

2.0 mm

Program usage name

cone_diameter

Evaluatable

Yes

# Seat diameter (hole) — diameter of the hole in the seat
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Diameter of the hole in the seat .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

1.0 mm

Program usage name

seat_diameter

Evaluatable

Yes

# Rod diameter (seat side) — diameter of the stem on the seat side
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Diameter of the stem on the seat side .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.0 mm

Program usage name

rod_diameter_at_seat_side

Evaluatable

Yes

# Seat half angle — half of the angle of the saddle cone
rad | deg | rev | mrad | arcsec | arcmin | gon

Details

Half of the angle of the saddle cone .

Units

rad | deg | rev | mrad | arcsec | arcmin | gon

Default value

30.0 deg

Program usage name

conical_seat_semi_angle

Evaluatable

Yes

# Needle cone half angle — half of the angle of the needle cone
rad | deg | rev | mrad | arcsec | arcmin | gon

Details

Half of the angle of the needle cone

Units

rad | deg | rev | mrad | arcsec | arcmin | gon

Default value

45.0 deg

Program usage name

needle_cone_semi_angle

Evaluatable

Yes

# Lift corresponding to zero displacement — the rise corresponding to the zero offset
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

The rise corresponding to the zero offset.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.0 mm

Program usage name

lift_offset

Evaluatable

Yes

# Lift needed for the setting of mean pressure — the rise required to establish the average pressure
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Lift required to establish the average pressure , is used to calculate the average pressure.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.01 mm

Program usage name

lift_at_average_pressure

Evaluatable

Yes

# Lift corresponding to minimum area — lifting corresponding to the minimum area
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Lift , corresponding to the minimum area of the passage hole.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.0 mm

Program usage name

orifice_opening_at_min_area

Evaluatable

Yes

# Lift corresponding to maximum area — lifting corresponding to the maximum area
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Lift , corresponding to the maximum area of the passage hole.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

Inf mm

Program usage name

orifice_opening_at_max_area

Evaluatable

Yes

# Volume at port A corresponding to zero lift — the volume in port A corresponding to zero lift
m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3

Details

The volume in port A corresponding to zero lift.

Units

m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3

Default value

0.0 cm^3

Program usage name

V_a_lift_offset

Evaluatable

Yes

# Volume at port B corresponding to zero lift — the volume in port B corresponding to zero lift
m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3

Details

The volume in port B corresponding to zero lift.

Units

m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3

Default value

0.0 cm^3

Program usage name

V_b_lift_offset

Evaluatable

Yes

# Seat cylinder diameter — diameter of the cylindrical part of the seat
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

Diameter of the cylindrical part of the seat .

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

8.0 mm

Program usage name

seat_cylinder_diameter

Evaluatable

Yes

Jet Force Evaluation

# Jet force coefficient — coefficient of hydrodynamic force

Details

The coefficient of hydrodynamic force, which is at the value 0 (by default) disables the hydrodynamic force, and when set to 1 turns it on. If there is experimental data for this coefficient, then you can adjust the model to fit this data.

Default value

0.0

Program usage name

jet_force_coefficient

Evaluatable

Yes

Flow Coefficient Law

# Maximum flow coefficient — maximum flow rate

Details

The maximum flow rate affects the flow rate/pressure drop characteristics in the orifice. For most applications, this value can be left at the default.

Default value

0.7

Program usage name

C_q_max

Evaluatable

Yes

# Critical flow number — critical flow coefficient

Details

The critical flow coefficient affects the flow rate/pressure drop characteristics in the orifice. For most applications, this value can be left at the default.

Default value

100.0

Program usage name

critical_flow_number

Evaluatable

Yes

Initial Conditions

# Initial rod displacement — initial displacement of the rod
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

The initial displacement of the rod.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.0 mm

Program usage name

rod_displacement_start

Evaluatable

Yes

# Initial case displacement — initial displacement of the body
m | um | mm | cm | km | in | ft | yd | mi | nmi

Details

The initial displacement of the body.

Dependencies

To use this option, check the box Moving body.

Units

m | um | mm | cm | km | in | ft | yd | mi | nmi

Default value

0.0 mm

Program usage name

case_displacement_start

Evaluatable

Yes

Literature

  1. Hardenberg H., "Die geometrischen Strömungsquerschnitte von Lochdüsen für Direkteinspritzmotoren", MTZ 45 (1984) 10, S. 427-429, 1984.

  2. Hardenberg H., "Die Nadelhubabhängigkeit der Durchflußbeiwerte von Lochdüsen für Direkteinspritzdieselmotoren", MTZ 46 (1985) 4, S. 143-146, 1985.

  3. De Groen O., Kok D.: "Rechenprogramm zur Simulation von Hochdruckeinspritzsystemen für Nutzfahrzeuge" - Motortechnische Zeitschrift MTZ - 57 (1996)