Overflows and Gravity Drainage Systems
0 INTRODUCTION/PURPOSE
1 SCOPE
2 FIELD OF APPLICATION
3 DEFINITIONS
4 OUTLINE OF THE PROBLEM
5 DESIGNING FOR FLOODED FLOW
6 DESIGNING NON-FLOODED PIPELINES
6.1 Vertical Pipework
6.2 From the Side of a Vessel
6.3 Established (uniform) Flow in Near-horizontal Pipes
6.4 Non-uniform Flow
7 NON-FLOODED FLOW IN COMPLEX SYSTEMS
8 ENTRAINING FLOW
9 SIMPLE TANK OVERFLOWS
9.1 Venting of the Tank
10 BIBLIOGRAPHY
11 NOMENCLATURE
TABLE
1 GEOMETRICAL FUNCTIONS OF PART-FULL PIPES
FIGURES
1 TYPICAL SEQUENCE OF SURGING FLOW
2 DESIGNING FOR FLOODED FLOW
3 CAPACITY OF SLOPING PIPELINES
4 OVERFLOW FROM SIDE OF VESSEL
5 METHODS OF AVOIDING LARGE CIRCULAR SIDE
OVERFLOWS
6 CAPACITY OF A GENTLY SLOPING PIPE AS A FUNCTION OF LIQUID DEPTH
7 COMPLEX PIPE SYSTEMS
8 REMOVAL OF ENTRAINED GASES
Pressure Safety Valve Sizing - API 520/521/526Vijay Sarathy
No chemical process facility is immune to the risk of overpressure to avoid dictating the necessity for overpressure protection. For every situation that demands safe containment of process gas, it becomes an obligation for engineers to equally provide pressure relieving and flaring provisions wherever necessary. The levels of protection are hierarchical, starting with designing an inherently safe process to avoid overpressure followed by providing alarms for operators to intervene and Emergency Shutdown provisions through ESD and SIL rated instrumentation. Beyond these design and instrument based protection measures, the philosophy of containment and abatement steps such as pressure relieving devices, flares, physical dikes and Emergency Response Services is employed
Overflows and Gravity Drainage Systems
0 INTRODUCTION/PURPOSE
1 SCOPE
2 FIELD OF APPLICATION
3 DEFINITIONS
4 OUTLINE OF THE PROBLEM
5 DESIGNING FOR FLOODED FLOW
6 DESIGNING NON-FLOODED PIPELINES
6.1 Vertical Pipework
6.2 From the Side of a Vessel
6.3 Established (uniform) Flow in Near-horizontal Pipes
6.4 Non-uniform Flow
7 NON-FLOODED FLOW IN COMPLEX SYSTEMS
8 ENTRAINING FLOW
9 SIMPLE TANK OVERFLOWS
9.1 Venting of the Tank
10 BIBLIOGRAPHY
11 NOMENCLATURE
TABLE
1 GEOMETRICAL FUNCTIONS OF PART-FULL PIPES
FIGURES
1 TYPICAL SEQUENCE OF SURGING FLOW
2 DESIGNING FOR FLOODED FLOW
3 CAPACITY OF SLOPING PIPELINES
4 OVERFLOW FROM SIDE OF VESSEL
5 METHODS OF AVOIDING LARGE CIRCULAR SIDE
OVERFLOWS
6 CAPACITY OF A GENTLY SLOPING PIPE AS A FUNCTION OF LIQUID DEPTH
7 COMPLEX PIPE SYSTEMS
8 REMOVAL OF ENTRAINED GASES
Pressure Safety Valve Sizing - API 520/521/526Vijay Sarathy
No chemical process facility is immune to the risk of overpressure to avoid dictating the necessity for overpressure protection. For every situation that demands safe containment of process gas, it becomes an obligation for engineers to equally provide pressure relieving and flaring provisions wherever necessary. The levels of protection are hierarchical, starting with designing an inherently safe process to avoid overpressure followed by providing alarms for operators to intervene and Emergency Shutdown provisions through ESD and SIL rated instrumentation. Beyond these design and instrument based protection measures, the philosophy of containment and abatement steps such as pressure relieving devices, flares, physical dikes and Emergency Response Services is employed
Eng handbook crosby pressure relief valve engineering handbookAli Meshaikhis
Reference is made to the ASME Boiler and Pressure Vessel Code, Section VIII, Pressure Vessels. The information in this handbook is not to be used for the application of overpressure protection to power boilers and nuclear power plant components which are addressed in the ASEM Boiler and Pressure Vessel Code Section I.
Piping Training course-How to be an Expert in Pipe & Fittings for Oil & Gas c...Varun Patel
Course Description
Piping a must know skill to work in Oil & Gas and similar Process Industries.
Oil and Gas industry is become a very competitive in the current time. Getting right mentor and right exposer within industry is difficult. With limited training budget spent by company on employee training, it is difficult to acquire the knowledge to success.
Knowing cross-functional skill give you an edge over others in your career success.
This course design based on years of field experience to ensure student will comprehend technical details easily and enjoy overall journey.
Learn in detail every aspect of Pipe & Pipe Fittings used in process industry
•Different types of Pipe, Pipe fittings (Elbow, Tee, reducers, Caps etc.), Flanges, Gaskets, Branch Connection, Bolting materials
•Materials (Metal-Carbon Steel, Stainless Steel, Alloy Steel etc. Non-Metal- PVC/VCM, HDPE, GRE-GRP etc.)
•Manufacturing methods
•Heat treatment requirements
•Inspection and Testing requirements (Non Destructive Testing, Mechanical & Chemical testing)
•Dimensions & Markings requirements
•Code & Standard used in piping
Content and Overview
With 2 hours of content including 30 lectures & 8 Quizzes, this course cover every aspect of Pipe, Pipe fittings, flanges, gaskets, branch connections and bolting material used in Process Piping.
This Course is divided in three parts.
1st part of the course covers fundamental of process industries. In this Part, you will learn about fundamental process piping. You will also learn about Code, Standard & Specification used in process industries.
2nd part cover various types of material used in process industries. In this part, you will learn about Metallic and Non-Metallic material used to manufacture pipe and other piping components.
3rd parts covers in detail about pipe and piping components used in Process piping. In this part we will learn about Industry terminology of Piping components, types of industrial material grade used in manufacturing and entire manufacturing process of these components. You will learn about different manufacturing methods, Heat treatment requirements, Destructive and Non-destructive testing, Visual & Dimensional inspection and Product marking requirements.
Upon completion, you will be able to use this knowledge direct on your Job and you can easily answer any interview question on pipe & fittings.
Pressure Relief Valve Sizing for Single Phase FlowVikram Sharma
This presentation file provides a quick refresher to pressure relief valve sizing for single phase flow. The calculation guideline is as per API Std 520.
Introduction to Stress Analysis and Piping Vibration AnalysisAndré Fraga
This slide is a short introduction to Piping Stress Analysis and Piping Vibration Analysis. It was made as a resume to introduce new Engineers to this subject.
Eng handbook crosby pressure relief valve engineering handbookAli Meshaikhis
Reference is made to the ASME Boiler and Pressure Vessel Code, Section VIII, Pressure Vessels. The information in this handbook is not to be used for the application of overpressure protection to power boilers and nuclear power plant components which are addressed in the ASEM Boiler and Pressure Vessel Code Section I.
Piping Training course-How to be an Expert in Pipe & Fittings for Oil & Gas c...Varun Patel
Course Description
Piping a must know skill to work in Oil & Gas and similar Process Industries.
Oil and Gas industry is become a very competitive in the current time. Getting right mentor and right exposer within industry is difficult. With limited training budget spent by company on employee training, it is difficult to acquire the knowledge to success.
Knowing cross-functional skill give you an edge over others in your career success.
This course design based on years of field experience to ensure student will comprehend technical details easily and enjoy overall journey.
Learn in detail every aspect of Pipe & Pipe Fittings used in process industry
•Different types of Pipe, Pipe fittings (Elbow, Tee, reducers, Caps etc.), Flanges, Gaskets, Branch Connection, Bolting materials
•Materials (Metal-Carbon Steel, Stainless Steel, Alloy Steel etc. Non-Metal- PVC/VCM, HDPE, GRE-GRP etc.)
•Manufacturing methods
•Heat treatment requirements
•Inspection and Testing requirements (Non Destructive Testing, Mechanical & Chemical testing)
•Dimensions & Markings requirements
•Code & Standard used in piping
Content and Overview
With 2 hours of content including 30 lectures & 8 Quizzes, this course cover every aspect of Pipe, Pipe fittings, flanges, gaskets, branch connections and bolting material used in Process Piping.
This Course is divided in three parts.
1st part of the course covers fundamental of process industries. In this Part, you will learn about fundamental process piping. You will also learn about Code, Standard & Specification used in process industries.
2nd part cover various types of material used in process industries. In this part, you will learn about Metallic and Non-Metallic material used to manufacture pipe and other piping components.
3rd parts covers in detail about pipe and piping components used in Process piping. In this part we will learn about Industry terminology of Piping components, types of industrial material grade used in manufacturing and entire manufacturing process of these components. You will learn about different manufacturing methods, Heat treatment requirements, Destructive and Non-destructive testing, Visual & Dimensional inspection and Product marking requirements.
Upon completion, you will be able to use this knowledge direct on your Job and you can easily answer any interview question on pipe & fittings.
Pressure Relief Valve Sizing for Single Phase FlowVikram Sharma
This presentation file provides a quick refresher to pressure relief valve sizing for single phase flow. The calculation guideline is as per API Std 520.
Introduction to Stress Analysis and Piping Vibration AnalysisAndré Fraga
This slide is a short introduction to Piping Stress Analysis and Piping Vibration Analysis. It was made as a resume to introduce new Engineers to this subject.
This article provides a brief yet concise idea about flow meters and the pertinent terms related to them. This article classifies the different types of flowmeters and cites the different devices for measurement under these categories. Also, this article speaks about the major five classes of flowmeters viz. differential pressure, velocity, positive displacement, mass, and open channel.
McCrometer V Cone Flowmeter Installation, Operations, MaintenaceFlow-Tech, Inc.
The McCrometer V-Cone® Flowmeter is a patented technology that accurately measures ow over a wide range of Reynolds numbers, under all kinds of conditions and for a variety of fluids. It operates on the same physical principle as other differential pressure-type flowmeters, using the theorem of conservation of energy in fluid flow through a pipe. The V-Cone’s remarkable performance characteristics, however, are the result of its unique design. It features a centrally-located cone inside the tube. The cone interacts with the fluid flow, reshaping the fluid’s velocity profile and creating a region of lower pressure immediately downstream of itself. The pressure difference, exhibited between the static line pressure and the low pressure created downstream of the cone, can be measured via two pressure sensing taps. One tap is placed slightly upstream of the cone, the other is located in the downstream face of the cone itself. The pressure difference can then be incorporated into a derivation of the Bernoulli equation to determine the fluid flow rate. The cone’s central position in the line optimizes the velocity profile of the flow at the point of measurement, assuring highly accurate, reliable flow measurement regardless of the condition of the flow upstream of the meter.
In this day and age of automated computer control valve sizing, the logic and theories behind it are invisible. In his presentation, Al Holton of Allagash Valve & Controls will look at the basic principles that apply and how they affect the application and installation of a wide range of control valve types. He will also review the reasoning behind valve type selection.
Rev. August 2014 ME495 - Pipe Flow Characteristics… Page .docxjoyjonna282
Rev. August 2014 ME495 - Pipe Flow Characteristics… Page 2
2
ME495—Thermo Fluids Laboratory
~~~~~~~~~~~~~~
PIPE FLOW CHARACTERISTICS
AND PRESSURE TRANSDUCER
CALIBRATION
~~~~~~~~~~~~~~
PREPARED BY: GROUP LEADER’S NAME
LAB PARTNERS: NAME
NAME
NAME
TIME/DATE OF EXPERIMENT: TIME , DATE
~~~~~~~~~~~~~~
OBJECTIVE— The objectives of this experiment are
to: a) observe the characteristics of flow in a pipe,
b) evaluate the flow rate in a pipe using velocity
and pressure difference measurements, and c)
perform the calibration of a pressure transducer.
Upon completing this experiment you should have
learned (i) how to measure the flow rate and average
velocity in a pipe using a Pitot tube and/or a resistance
flow meter, and (ii) how to classify the general
characteristics of a pipe flow.
Nomenclature
a = speed of sound, m/s
A = area, m
2
C = discharge coefficient, dimensionless
d = pipe diameter, m
d0 = orifice diameter, m
E = velocity approach factor, dimensionless
f = Darcy friction factor, dimensionless
K0 = flow coefficient, dimensionless
k = ratio of specific heats (cp/cv), dimensionless
L = length of pipe, m
M = Mach number, dimensionless
p = pressure, Pa
p0 = stagnation pressure, Pa
p1, p2 = pressure at two axial locations along a
pipe, Pa
Q = volumetric flow rate, m
3
/s
R = specific gas constant, J·kg/K
Re = Reynolds number, dimensionless
T = temperature, K
V = local velocity, m/s
V = average velocity, m/s
Y = adiabatic expansion factor, dimensionless
= ratio of orifice diameter to pipe diameter,
dimensionless
p = pressure drop across an orifice meter, Pa
= dynamic viscosity, Pa·s
= air density, kg/m3
INTRODUCTION— The flow of a fluid (liquid or
gas) through pipes or ducts is a common part of many
engineering systems. Household applications include
the flow of water in copper pipes, the flow of natural
gas in steel pipes, and the flow of heated air through
metal ducts of rectangular cross-section in a forced-air
furnace system. Industrial applications range from the
flow of liquid plastics in a manufacturing plant, to the
flow of yogurt in a food-processing plant. Because the
purpose of a piping system is to transport a desired
quantity of fluid, it is important to understand the
various methods of measuring the flow rate.
In order to work with a fluid system, and certainly to
design a fluid system that will deliver a prescribed
flow, it is necessary to understand certain fundamental
aspects of the fluid flow. For this, one should be able
to answer questions like: Are compressibility effects
important? Is the flow laminar or turbulent? Is the
viscosity of the fluid important or not? Is the flow
steady or varying with time? What are the primary
forces of importance? For internal ...
it speaks about the differential head flow meters. its different types. their principle of operation, venturi meter, orifice plate, rotameters, it also covers discussion on open channel flow meter. it covers the different application domains of the different types of flow meters and their advantages and disadvantages.
Use of biofilters for air pollution controlIshaneeSharma
This presentation is about the use of biofilters in air pollution control. Working principle of biofilters, where it is used, its advantages and disadvantages have been discussed in this presentation. Various design parameters are also discussed.
References:
1. https://www.rpi.edu/dept/chem-eng/Biotech-Environ/MISC/biofilt/biofiltration.htm
2. https://www3.epa.gov/ttncatc1/dir1/fbiorect.pdf
3. https://civildigital.com/detailed-study-biofilters-controlling-air-pollution-seminar-presentation/
4. https://emis.vito.be/en/techniekfiche/biofilter-0
5. https://www.slideshare.net/AabidMir/biofilters-and-air-pollution-controll/25
This presentation is about production of Dextran from sucrose by using Leuconostoc Mesenteroides bacteria. First of all, the properties of dextran are discussed and then the production is explained through flowchart. The applications of dextran is also discussed in this presentation.
Social Ills that ail Indian Society: Child LabourIshaneeSharma
THIS Presentation is about how child labour is a social evil. This presentation discusses the causes and effects of child labour. The presentaion also mentions the existing Indian laws against child labour. The statistics show the child labour across various states of India. The global scenario of child labour is also shown in this presentation.
Applications of polymers in everyday lifeIshaneeSharma
This pdf file is about applications of polymer in daily life. This pdf covers the applications of polymer in agriculture, sports, household and medical industry.
Online aptitude test management system project report.pdfKamal Acharya
The purpose of on-line aptitude test system is to take online test in an efficient manner and no time wasting for checking the paper. The main objective of on-line aptitude test system is to efficiently evaluate the candidate thoroughly through a fully automated system that not only saves lot of time but also gives fast results. For students they give papers according to their convenience and time and there is no need of using extra thing like paper, pen etc. This can be used in educational institutions as well as in corporate world. Can be used anywhere any time as it is a web based application (user Location doesn’t matter). No restriction that examiner has to be present when the candidate takes the test.
Every time when lecturers/professors need to conduct examinations they have to sit down think about the questions and then create a whole new set of questions for each and every exam. In some cases the professor may want to give an open book online exam that is the student can take the exam any time anywhere, but the student might have to answer the questions in a limited time period. The professor may want to change the sequence of questions for every student. The problem that a student has is whenever a date for the exam is declared the student has to take it and there is no way he can take it at some other time. This project will create an interface for the examiner to create and store questions in a repository. It will also create an interface for the student to take examinations at his convenience and the questions and/or exams may be timed. Thereby creating an application which can be used by examiners and examinee’s simultaneously.
Examination System is very useful for Teachers/Professors. As in the teaching profession, you are responsible for writing question papers. In the conventional method, you write the question paper on paper, keep question papers separate from answers and all this information you have to keep in a locker to avoid unauthorized access. Using the Examination System you can create a question paper and everything will be written to a single exam file in encrypted format. You can set the General and Administrator password to avoid unauthorized access to your question paper. Every time you start the examination, the program shuffles all the questions and selects them randomly from the database, which reduces the chances of memorizing the questions.
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
HEAP SORT ILLUSTRATED WITH HEAPIFY, BUILD HEAP FOR DYNAMIC ARRAYS.
Heap sort is a comparison-based sorting technique based on Binary Heap data structure. It is similar to the selection sort where we first find the minimum element and place the minimum element at the beginning. Repeat the same process for the remaining elements.
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsVictor Morales
K8sGPT is a tool that analyzes and diagnoses Kubernetes clusters. This presentation was used to share the requirements and dependencies to deploy K8sGPT in a local environment.
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesChristina Lin
Traditionally, dealing with real-time data pipelines has involved significant overhead, even for straightforward tasks like data transformation or masking. However, in this talk, we’ll venture into the dynamic realm of WebAssembly (WASM) and discover how it can revolutionize the creation of stateless streaming pipelines within a Kafka (Redpanda) broker. These pipelines are adept at managing low-latency, high-data-volume scenarios.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
#vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore#blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #blackmagicforlove #blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #Amilbabainuk #amilbabainspain #amilbabaindubai #Amilbabainnorway #amilbabainkrachi #amilbabainlahore #amilbabaingujranwalan #amilbabainislamabad
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Literature Review Basics and Understanding Reference Management.pptxDr Ramhari Poudyal
Three-day training on academic research focuses on analytical tools at United Technical College, supported by the University Grant Commission, Nepal. 24-26 May 2024
An Approach to Detecting Writing Styles Based on Clustering Techniquesambekarshweta25
An Approach to Detecting Writing Styles Based on Clustering Techniques
Authors:
-Devkinandan Jagtap
-Shweta Ambekar
-Harshit Singh
-Nakul Sharma (Assistant Professor)
Institution:
VIIT Pune, India
Abstract:
This paper proposes a system to differentiate between human-generated and AI-generated texts using stylometric analysis. The system analyzes text files and classifies writing styles by employing various clustering algorithms, such as k-means, k-means++, hierarchical, and DBSCAN. The effectiveness of these algorithms is measured using silhouette scores. The system successfully identifies distinct writing styles within documents, demonstrating its potential for plagiarism detection.
Introduction:
Stylometry, the study of linguistic and structural features in texts, is used for tasks like plagiarism detection, genre separation, and author verification. This paper leverages stylometric analysis to identify different writing styles and improve plagiarism detection methods.
Methodology:
The system includes data collection, preprocessing, feature extraction, dimensional reduction, machine learning models for clustering, and performance comparison using silhouette scores. Feature extraction focuses on lexical features, vocabulary richness, and readability scores. The study uses a small dataset of texts from various authors and employs algorithms like k-means, k-means++, hierarchical clustering, and DBSCAN for clustering.
Results:
Experiments show that the system effectively identifies writing styles, with silhouette scores indicating reasonable to strong clustering when k=2. As the number of clusters increases, the silhouette scores decrease, indicating a drop in accuracy. K-means and k-means++ perform similarly, while hierarchical clustering is less optimized.
Conclusion and Future Work:
The system works well for distinguishing writing styles with two clusters but becomes less accurate as the number of clusters increases. Future research could focus on adding more parameters and optimizing the methodology to improve accuracy with higher cluster values. This system can enhance existing plagiarism detection tools, especially in academic settings.
6th International Conference on Machine Learning & Applications (CMLA 2024)ClaraZara1
6th International Conference on Machine Learning & Applications (CMLA 2024) will provide an excellent international forum for sharing knowledge and results in theory, methodology and applications of on Machine Learning & Applications.
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
ISA 75.01.01-2007 notes
1. ISA-75.01.01-2007 Notes
ISA-75.01.01-2007 includes equations for predicting the flow coefficient of compressible and
incompressible fluids through control valves.
The equations for incompressible flow are based on standard hydrodynamic equations for
Newtonian incompressible fluids. They are not intended for use when non-Newtonian fluids,
fluid mixtures, slurries, or liquid-solid conveyance systems are encountered.
1. Valve Style Modifier Fd
The ratio of the hydraulic diameter of a single flow passage to the diameter of a circular
orifice, the area of which is equivalent to the sum of areas of all identical flow passages at a
given travel
2.1 Non-Choked Turbulent Flow Without Attached Fittings
The flow coefficient shall be determined by-
2.2 Non-Choked Turbulent Flow With Attached Fittings
3. Choked Turbulent Flow
3.1 Choked Turbulent Flow without Attached Fittings
3.2 Choked Turbulent Flow with Attached Fittings
4.1 Flow Co-efficient for Non-Choked Turbulent Flow
2. 4.2 Non-Choked Turbulent Flow with Attached Fittings
5.1 Choked Turbulent Flow without Attached Fittings
5.2 Choked Turbulent Flow with Attached Fittings
6. Piping Geometry Factor Fp
The piping geometry factor FP is necessary to account for fittings attached upstream and/or
downstream to a control valve body. The FP factor is the ratio of the flow rate through a
control valve installed with attached fittings to the flow rate that would result if the control
valve was installed without attached fittings and tested under identical conditions which will
not produce choked flow in either installation.
When estimated values are permissible, the following equation shall be used:
In this equation, the factor Σζ is the algebraic sum of all of the effective velocity head loss
coefficients of all fittings attached to the control valve. The velocity head loss coefficient of
the control valve itself is not included.
In cases where the piping diameters approaching and leaving the control valve are different,
the ζ B
coefficients are calculated as follows:
If the inlet and outlet fittings are short-length, commercially available, concentric reducers,
the ζ 1 and ζ 2 coefficients may be approximated as follows:
3. 7. Reynold’s Number
8. Liquid Pressure Recovery Factor without Attached Fittings FL
It is defined as the ratio of the actual maximum flow rate under choked flow conditions to a
theoretical, non-choked flow rate which would be calculated if the pressure differential used
was the difference between the valve inlet pressure and the apparent vena contracta pressure
at choked flow conditions.
9. Combined Liquid Pressure Recovery Factor and Piping Geometry Factor with
Attached Fittings FLP
Here Σζ 1is the velocity head loss coefficient, ζ 1 + ζ B1, of the fitting attached upstream of
the valve as measured between the upstream pressure tap and the control valve body inlet.
10. Liquid Critical Pressure Ratio Factor FF
FF is the ratio of the apparent vena contracta pressure at choked flow conditions to the vapor
pressure of the liquid at inlet temperature. At vapour pressures near zero, this factor is 0.96.
Values of FF may be approximated from the following equation:
11. Expansion Factor Y
The expansion factor Y accounts for the change in density as the fluid passes from the valve
inlet to the vena contracta (the location just downstream of the orifice where the jet stream
area is a minimum). It also accounts for the change in the vena contracta area as the pressure
differential is varied.
12. Pressure Differential Ratio Factor with Attached Fittings
13. Specific Heat Ratio Factor