Note that the term 'Jet Pump' is used to refer to a liquidâliquid ejector. The most comprehensive source of design information for ejectors can be found in a series of Engineering Sciences Data Unit (ESDU) data items, Nos. 85032 and 84029.
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- Steam Ejector Calculation
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- Feb 25, 2018 helo there, first off kudos on simple crisp and to the point explanation. But could you help me with the design calculations for a simple ejector with air as the motive and suction fluid please. August 19, 2018 at 2:53 pm.
- Ezejector now offers a program for design of multi stage steam ejectors. Contact us if you are interested in this software. See below an example of design development. The overall compression ratio required.
The pipe system is defined using Pipe Flow Expert's incredibly intuitive user interface, which also supports isometric 3D piping layouts.
Our focus on producing reliable, simple-to-use and yet powerful piping design software makes it easy for the pipe designer, saving countless hours, days, weeks and even months of effort.
Piping Design and Pipeline Modeling
The piping model will typically include standard physical data such as:
- The internal size, internal roughness and length of each pipe.
- The elevation of each node (join point) where several pipes connect.
- The additional in-flow or out-flow (take off) at any particular node.
- The elevation, liquid level and surface pressure data for each tank.
- The flow versus head performance data for each pump.
The calculated results include the flow rates for each pipe, the fluid velocities for each pipe, Reynolds numbers, friction factors, friction pressure losses for each pipe, fittings losses, component pressures losses, node pressures, pipeline HGL (Hydraulic Grade Line), pump operating points (including pump head required) and more.
Flow Rate and Pressure Drop Calculations
Pipe Flow Expert calculates the balanced steady state flow rates, pipe pressure drops and node pressures within a piping system.
The Colebrook-White friction factor equation is used to determine the correct pipe friction factors and the Darcy-Weisbach friction loss calculation method is used to calculate the pipe friction losses.
Solving the Piping Design
To solve and calculate the flow and pressure loss results the following conditions have to be satisfied:
- Conservation of Mass Flow must be maintained, i.e. there must be mass flow continuity at every node (point where multiple pipes join) within the pipe system.
- Conservation of Energy must be maintained, i.e. the algebraic sum of the pressure losses around a loop in the pipe network must be zero.
The second condition can also be related to 'pseudo-loops' (any path between two tanks or end points in the system) such that the algebraic sum of the pressure losses in the pipes along the path must equal the difference in pressure between the start and end point.
Method of Solution
Pipe Flow Expert generates the fundamental conservation of energy and conservation of mass flow equations from the piping system model. It then uses advanced mathematical matrix methods to solve the resulting hydraulic equations, taking account of pumps, components, flow controls, PRVs, BPVs, pipe fittings, pipe materials, pipe sizes, and fluid data.
The final solution is then checked by a second algorithm which compares the calculated pressure at all adjacent nodes to ensure that the pressure difference is equal to the pressure loss resulting from the flow in the pipe joining the nodes. This double check of the pipe network verifies that the calculated pressure at each node is consistent, irrespective of which path through the network is used to calculate the pressure loss back to a particular pressure reference.
Finding an accurate solution of the flows and pressures in a pipe network is not an easy task. It is many orders of magnitude more difficult than finding the pressure loss in a single pipe for a known flow rate, which is why it is important to use proven software with a reliable calculation engine. Pipe Flow Expert is trusted by users in over 100 countries worldwide.
Next: Pipe Flow Expert Software Brochure
Library
Pumps and Motors
Description
The Jet Pump block represents a jet liquid-liquidpump consisting of a nozzle, throat, and diffuser, as shown in thefollowing illustration.
The model is based on the following equations, described in[1]:
q1=An1+Kn2Ï(p1âp0) | (1) |
q2=Anâ c1+Ken2Ï(p2âp0) | (2) |
Ejector Design Calculation Software Free
pdâp0=Zb2(2b+21âbM2â(1+M)2â (1+Kth+Kdi+a2)) | (3) |
where
q1 | Primary flow rate pumped through the nozzle |
q2 | Secondary flow rate |
qd | Output flow rate |
p1 | Pressure at the nozzle inlet |
p2 | Pressure at the secondary flow rate inlet |
p0 | Pressure at the throat inlet |
pd | Pressure at the pump outlet |
An | Nozzle area |
Ath | Throat area |
a | Diffuser area ratio, Ath / Ad |
Ad | Diffuser outlet area |
Kn | Nozzle hydraulic loss coefficient |
Ken | Throat entry hydraulic loss coefficient |
Kth | Throat hydraulic loss coefficient |
Kdi | Diffuser hydraulic loss coefficient |
Ï | Fluid density |
Equation 1 describesthe nozzle, Equation 2 âthroat entry, and Equation 3 âthe combination of the throat and the diffuser. The equations correspondto a standard configuration of the pump, where all the longitudinaldimensions conform to established, empirically determined values.For more details, see [1].
The pump parameters are closely related to each other, and themethodology described in [1]is recommended to determine their initial values.
Basic Assumptions and Limitations
-
The model is based on the one-dimensional theory.
-
The primary and secondary flows enter the mixing throatwith uniform velocity distribution, and the mixed flow leaves thediffuser with uniform velocity distribution.
-
The fluid in the primary and secondary flows is thesame.
-
The fluid is assumed to be incompressible and containingno gas.
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Parameters
- Nozzle area
-
Cross-sectional area of the nozzle. The parameter must be greaterthan zero. The default value is
1
cm^2. - Throat area
-
Cross-sectional area of the throat. The throat area is usuallytwo to four times larger than the nozzle area. The default value is
4
cm^2. - Diffuser inlet/outlet area ratio
-
The ratio between the inlet and outlet diffuser areas. For astandard pump with a 5° â 7° included-angle diffuser,the ratio is close to 0.2. The parameter must be greater or equalto zero. The default value is
0.224
. - Nozzle loss coefficient
-
The hydraulic friction loss coefficient in the nozzle. The parametermust be greater than zero. The default value is
0.05
. - Throat entry loss coefficient
-
The hydraulic friction loss coefficient in the throat entry.The parameter must be greater than zero. The default value is
0.005
. - Throat loss coefficient
-
The hydraulic friction loss coefficient in the throat. The parametermust be greater than zero. The default value is
0.1
.Ejector Design Calculation
- Diffuser loss coefficient
-
The hydraulic friction loss coefficient in the diffuser. Theparameter must be greater than zero. The default value is
0.1
.Global Parameters
Parameters determined by the type of working fluid:Use the Hydraulic Fluid blockor the Custom Hydraulic Fluid blockto specify the fluid properties.Ports
The block has the following ports: A
-
Hydraulic conserving port associated with the nozzle entry (primaryflow entry).
S
-
Hydraulic conserving port associated with the pump suction (secondaryflow entry).
P
-
Hydraulic conserving port associated with the pump outlet.
N
-
Internal nonvisible hydraulic conserving port associated withthe throat entry section of the pump. You can view the variables associatedwith the port by logging simulation data. For more information, see Data Logging (Simscape).
Examples
The Well withJet Pump example represents a well jet pump installation,consisting of a surface-mounted centrifugal pump and a jet pump installedin the well below water level.References
Steam Ejector Calculation
[1] I.J. Karassic, J.P. Messina, P. Cooper, C.C. Heald, PumpHandbook, Fourth edition, McGraw-Hill, NY, 2008Ejector Design Calculation Software Reviews
Extended Capabilities
C/C++ Code Generation
Generate C and C++ code using Simulink® Coderâ¢.Ejector Design Calculation Software Online
See Also
Ejector Design Calculation Software 2016
Centrifugal Pump | Fixed-Displacement Pump | Variable-DisplacementPressure-Compensated Pump | Variable-DisplacementPump