A New Approach in Control Valve Design With a New Hybrid Flow Characteristic

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    A New Approach in Control Valve DesignWith a New Hybrid Flow Characteristic

    Dr. R.S. Madhusudan, ERS Mechanical Team, HCL Bangalore

    F e b r u a r y 2 0 1 2

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     A New Approach in Control Valve Design With a New Hybrid Flow Characteristic | February 2012

    © 2011, HCL Technologies, Ltd. Reproduction prohibited. This document is protected under copyright by the author. All rights reserved.

    TABLE OF CONTENTS

     Abstract ............................................................................................. 3 

     Abbreviations .................................................................................... 4 

    Market Trends/Challenges ................................................................ 5 

    Challenges for valves in HVAC applications: .................................... 8 

    Solution ............................................................................................. 9 

    Best Practices ................................................................................. 12 

    Common Issues .............................................................................. 14 

    Conclusion....................................................................................... 15 

    Reference ........................................................................................ 16 

     Author Info ....................................................................................... 16 

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     A New Approach in Control Valve Design With a New Hybrid Flow Characteristic | February 2012

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    Abstract

    A control valve is often required to be designed for different

    kinds of flow characteristics, depending on the process to becontrolled. The flow characteristics refer to the sensitivity of

    the valve spindle movement or opening to the increase in the

    flow.In this paper, a new hybrid flow characteristic is explained.

    Generally, flow characteristics are achieved by various valve

    trims or shapes of the plugs to be designed. The challenge lies

    in the design of the shape of the valve trim to achieve therequired flow characteristic. Often, many iterations of design,

    manufacture and testing are done, and this cycle is repeated to

    achieve the flow characteristic. In this paper, a novel iterative

    method is demonstrated to achieve not only the above flowcharacteristics, but also their new S-shaped flow characteristic

    derived by the author. A new empirical relation for the flow

    coefficient „K‟ is derived, which is verified by CFD analysis.Further, after the design, the valve can also be virtually

    verified by CFD analysis.

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     A New Approach in Control Valve Design With a New Hybrid Flow Characteristic | February 2012

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    Abbreviations

    Sl. No. Acronyms Full form

    1 CV Control Valve

    2 EEV Electronic Expansion Valve

    3 P Pressure

    4 V Velocity

    5 VRF Variable Refrigeration Flow

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     A New Approach in Control Valve Design With a New Hybrid Flow Characteristic | February 2012

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    Market Trends/Challenges

    Valves are used for controlling the flow in engineering

     production processes, for environment control in closed

    chambers, and in many other applications. The processesrange from chemical processes, steam generation,

     pharmaceutical, food industry, textile industry, etc. The

    expectations from valve design are as follows.

    Accurate flow control by suitable valve design forbetter end product quality:  In many cases, the

    quantity of the flow affects the quality of the end product. This is particularly seen in the chemical,

     pharma, food and textile industries.

    Reduce the power consumption: In many cases, such

    as HVAC applications, pumping applications, etc., themass flow through the valve causes higher pressure

    loss and thus energy consumption.

    Control the cost of the end product: To control thecost of the end product, it is necessary to reduce energy

    consumption, and in the case of process, precisely

    control the quantity of costly reactants, the quantity ofheating steam for heating, or the quantity of refrigerant

    for cooling and maintaining the temperature in a

    chamber.

    Valves are used in HVAC to achieve the required pressure, and thus the temperature drop for the

    refrigerant. The earlier trend was to use a capillarytube because the mass flow of the refrigerant was

    fixed.

    Later, thermal expansion valves were used to expand

    the refrigerant and reduce its temperature.

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    The present trend is to use an electronic expansion valve(EEV),which helps in energy saving. The advantage is that

    the movement of the valve plug is very precisely controlled in

    approximately 200 steps using a stepper motor.

    Introduction to proportional flow control valve

    The flow characteristics generally used are:1.  Quick opening

    2.  Linear and

    3.  Equal percentage characteristics

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    In order to achieve one of the above flow characteristics,

    one of the plug shapes shown below may be used.

    Valve trim is the physical shape of the plug and seat

    arrangement. The valve “trim”  causes the difference in

    valve opening between these valves. Typical trim shapes

    for spindle operated globe valves are compared in thefigure below.

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    As shown above, the expansion valve has a stepper motor on

    top of it. The temperature sensor senses the room temperature

    and regulates the mass flow of the refrigerant, thus when the

    mass flow is reduced, the work done by the compressor isreduced, saving the energy of the compressor. In a Variable

    Refrigeration Flow (VRF) system, an electronic expansion

    valve is used for energy saving with the compressor workingwith variable speed.

    Challenges for valves in HVAC applications:

    There is an increasing trend to use New Design ExpansionValves in HVAC, wherein valves with stepper motors areused to control and reduce the mass flow rate of the refrigerant

    when the cooling load required is less. Such expansion valves

    are called Electronic Expansion Valves (EEV). The EEV is

    used in case of Variable Refrigeration Flow Units,

    commonly called VRF units. The EEV used in VRF units

    helps in reducing the power consumption for running the

    compressor. The mass flow rate is reduced by reducing the

    speed of the compressor.

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    Solution

    A new mathematical solution for the design of a Proportional

    Flow Control Valve:

    Cooling capacity KW = M (Kg/sec) * (H evap. out  –  H evap.

    in)/1,000M (Kg/sec) is the mass flow rate of refrigerant

    H evap out: (KJ/Kg) Enthalpy at the exit of the evaporator

    H evap in: (KJ/Kg) Enthalpy at the inlet to the evaporator

    Pressure difference available for the flow, dP = Pin –  PoutDensity of the fluid at the EEV inlet for Pinlet and Tinlet

    Maximum theoretical velocity m/s = SQRT(2* dP/Density)

    V actual

    (velocity) =

    = K * V Theoretical Max* Cos Z,

    Where Z is the angle between Valveplug surface and the axis

    Where K

    empirical=(Flow Area/Orifice Area) ^ (1/N)

    N =

    An empirical number found by the

    author by correlating the results for

    valves of various sizes and capacities

    and with Orifice flow meter analogy

    For the initial calculations, the angle Z can be ignored. Later,

    after finding the valve trim dia at various openings, the valveshape can be drawn. Subsequently, the appropriate taper angle

    can be measured from the drawing and the value of angle Z

    can be introduced in the above equations and calculations can be repeated.

    Initially, we can assume the Velocity coefficient K as 0.1 to 1

    linearly for openings from 10% to 100%.V actual = K * V max

    Volume Flow = Mass flow/Density

    Flow Area = Volume Flow/V actual

    Initial rough estimate of Orifice Diameter = Sqrt[4*Flow Area/ pi()]

    Flow area = Pi/4* Orifice dia^2 - Pi/ 4* Plug dia^2Pi/4 * Plug dia = (Pi/4*Orifice Dia^2- Flow Area)

    Hence, Plug diameter is found

    K empirical = (Flow Area/Orifice Area) ^ (1/n)

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    Check this with initial assumed value of K. If different, repeat

    the calculation with the new value of K.The plug or the valve trim dia is to be calculated for various %

    flow rates at the respective valve % position.

    Sample calculations and Results:The valve was to be designed suitable for a cooling capacity of

    8 TR (Tons of Refrigeration)

    = 8 * 3.516 (KW/TR) = 28.128 KW

    With 30 % margin we design EEV for 37.2 KW

    Inlet to EEVTemperature,

    C

    Exit to EEVTemperature,

    C

    Super

    heat K

    P Inlet bar

    Abs

    Pr

    outlet

    abs bar

    Pr DropRequire

     bar

    32 5 5 19.676 9.32 13.5

    The cooling capacity KW with 1 Kg of R410A refrigerantwith the above temperature condition is calculated as follows.

    Cooling capacity KW with 1 Kg/s = 1 (Kg/s)* (H evap. out  –  

    H evap. in)/1,000= 1 Kg/s* (430.186- 254.136)KJ/Kg

    = 176.05 KW

    For the cooling capacity of 176.05KW, the mass flow of

    R410A flow required 1 Kg/secFor the cooling capacity of 37.2 KW, the mass flow required

    will be 37.2/176.05= 0.2113 Kg/sec

    S-shaped flow characteristics - A solution for energy

    saving:This new valve has an innovative hybrid flow characteristic

    for % flow increment for % stem movement. At low flows for

    linear valves flow increases drastically for small opening. This

    valve has equal percentage characteristic initially, and later a

    linear characteristic.

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    The valve characteristic at low flow rates.

    The valve trim shape at near zero flow has a hump to achievethe above flow characteristic.

    The new S-shaped Flow characteristic is derived by the

    author. The flow characteristics are such that the flow

    increases gradually in the initial opening. Further, in the mid-

    range, the flow increases at a faster rate. In the last 90 to 100%closed condition, the flow drops to zero very gradually.

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    Best Practices

    The best practices for flow characteristics design are

    suggested below for the respective conditions.

    1.  Collect the operating conditions for which the valvehas to function

    2.  This includes the ranges of the refrigerants, ambient

    temperatures at various geographic

    3.  From HVAC calculation, estimate the mass flow of

    fluid required to achieve the required cooling or

    heating

    4.  Conduct hand calculations for the valve port dia or

    the orifice dia

    5.  Conduct hand calculations for the design of the

    valve trim dia for a particular valve opening say 5%

    to meet the required flow (say 5% flow) at this

     position. For linear flow characteristic the flow at

    5% valve opening will be 5% of the maximum

    flow.

    6.  Repeat the above calculations for other % valve

    openings and % flow

    7.  Prepare a CAD model of the valve trim with the

    valve seat

    8.  Conduct CFD analysis with the operating condition

    and the input operating condition at minimum

    flow, median flow and maximum flow9.  Specify the only the pressures and temperatures at

    the inlet and outlet for the CFD analysis. The mass

    flow is to be estimated by the CFD analysis

    10. Check whether the mass flow obtained from CFD

    analysis matches with that estimated from the hand

    calculation.

    11.  If the resulting mass flow rates match, conduct

    CFD analysis for other valve openings

    12.  If the resulting mass flow rates do not match, repeat

    the design process from step 4

    13. After successfully attaining the required flow from

    the CFD analysis within the accepted tolerance, the

    entire valve manufacturing drawings may be

    completed

    14. The valve may be manufactured

    15. Test the valve for its flow characteristic

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    13 

    16.  If the flow characteristic is not achieved, diagnose

    the problem

    17. Benchmark the CFD with the new experimental

    result

    18. Derive the new velocity coefficient19. Repeat the design process

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    Common Issues

    The Electronic Expansion valve (EEV) in HVAC has toprovide the right pressure drop, and thus the temperature

    drop, at all mass flow rates.The same EEV of a certain capacity has to meet:

    1.  The ranges of Mass flow rates from nearly 0.5 % of design

    flow to 130% of the design flow

    2.  Able to handle various refrigerants/fluids as per customer

    choice

    3.  Various operating conditions of temperatures depending

    on the country  where it is sold for various operating

    conditions of pressure depending on refrigerants and

    country where it is sold

    4.  Flow varies depending on the application, whether for air

    conditioning or refrigeration or display cases 

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    Conclusion

    The design calculations for the flow characteristic of a

     proportional flow control valve may go through a few

    iterations to match the flow obtained from the CFD at therespective valve position. It is observed by the author that the

    single phase liquid flow CFD analysis is good enough for the

    expansion valve flow verification. The single phase liquidflow matches fairly well with the known performance of a

    typical EEV valve, as was verified by the authors for a base

    case, though in the actual performance in an expansion valve,

    the fluid changes phase from liquid at the entry to a liquid-gasmixture at the exit.

    The single phase flow analysis will reduce the computational

    time and still be close to the actual performance of the valve.

    The flow characteristics of valves play a major role in energysaving. Hence, it is necessary to attain the required flow

    characteristic to match the overall operation of the compressor

    with the valve.

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    Reference

    General information on types of valves from the internet

    Author Info 

    Dr. Madhusudan, R.S. (popularly known as

     Doc), SME, Fluid Power, ERS, Mechanical, HCL

    Tech, Bangalore 

    He earned his Mechanical Engineering degreefrom the National Institute of Technology, Surat,

    India in 1984, his Master of Technology in 1986

    from the Indian Institute of Technology, Madras,

    and his Ph.D. in Mechanical Engineering in 1993

    from the Indian Institute of Technology, Madras.

    He has 28 years of experience in the design

    development of fluid power engineering aspects of

     pumps, valves for process, HVAC, compressors,

     blowers, and heat exchangers. Boilers, Burners

    and Flow meters. 

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