Steam Engineering.

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http://www.spiraxsarco.com/resources/steam-engineering-tutorials.asp

 

These tutorials explain the principles of steam engineering and heat transfer. They also provide a comprehensive engineering best practice guide covering all aspects of steam and condensate systems; from the boiler house and steam distribution system up to the point of use; through the condensate recovery system and returning to the boiler. Virtually all major applications and products are discussed.

1.       Introduction

2.       Steam Engineering Principles and Heat Transfer

3.       The Boiler House

4.       Flowmetering

5.       Basic Control Theory

6.       Control Hardware: Electric/Pneumatic Actuation

7.       Control Hardware: Self-acting Actuation

8.       Control Applications

9.       Safety Valves

10.    Steam Distribution

11.    Steam Traps and Steam Trapping

12.    Pipeline Ancillaries

13.    Condensate Removal

14.    Condensate Recovery

15.    Desuperheating

16.    Equations

          

1. Introduction

The introduction of steam as a useful and powerful purveyor of energy. It discusses the versatile uses and benefits of this ubiquitous vapour; and the ways in which it is produced and distributed to achieve maximum performance and economy for the end user.

1.       Steam - The Energy Fluid

2.       Steam and the Organisation

3.       The Steam and Condensate Loop

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2. Steam Engineering Principles and Heat Transfer

Properties of various types of steam are considered, along with basic heat transfer principles and how to calculate consumption rates for process applications. Entropy is tackled in simple terms, removing unnecessary fears often associated with the subject.

1.       Engineering Units

2.       What is Steam?

3.       Superheated Steam

4.       Steam Quality

5.       Heat Transfer

6.       Methods of Estimating Steam Consumption

7.       Measurement of Steam Consumption

8.       Thermal Rating

9.       Energy Consumption of Tanks and Vats

10.    Heating with Coils and Jackets

11.    Heating Vats and Tanks by Steam Injection

12.    Steam Consumption of Pipes and Air Heaters

13.    Steam Consumption of Heat Exchangers

14.    Steam Consumption of Plant Items

15.    Entropy - A Basic Understanding

16.    Entropy - Its Practical Use

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3. The Boiler House

Various types of boilers and fuels are discussed, alongside the best ways in which to get the best out of this important part of the steam plant. All necessary associated boiler equipment is considered, including basic deaerator and accumulator theory.

1.       Introduction

2.       Shell Boilers

3.       Water-tube Boilers

4.       Miscellaneous Boiler Types, Economisers and Superheaters

5.       Boiler Ratings

6.       Boiler Efficiency and Combustion

7.       Boiler Fittings and Mountings

8.       Steam Headers and Off-takes

9.       Water Treatment, Storage and Blowdown for Steam Boilers

10.    Water for the Boiler

11.    The Feedtank and Feedwater Conditioning

12.    Controlling TDS in the Boiler Water

13.    Heat Recovery from Boiler Blowdown (TDS control only)

14.    Bottom Blowdown

15.    Water Levels in Steam Boilers

16.    Methods of Detecting Water Level in Steam Boilers

17.    Automatic Level Control Systems

18.    Water Level Alarms

19.    Installation of Level Controls

20.    Testing Requirements in the Boiler House

21.    Pressurised Deaerators

22.    Steam Accumulators

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4. Flowmetering

Fluid characteristics and flow theory (including Bernoulli's theorem and Reynolds' numbers) are introduced and developed to provide basic metering theory and techniques. Different meter types, instrumentation and installation practice are also discussed.

1.       Fluids and Flow

2.       Principles of Flowmetering

3.       Types of Steam Flowmeter

4.       Instrumentation

5.       Installation

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5. Basic Control Theory

Control theory is discussed from fundamental proportional action to PID control. The dynamic of the simple control loop is discussed, alongside practical issues of choosing the best system for the application, and installation and commissioning issues.

1.       An Introduction to Controls

2.       Basic Control Theory

3.       Control Loops and Dynamics

4.       Choice and Selection of Controls

5.       Installation and Commissioning of Controls

6.       Computers in Control

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6. Control Hardware: Electric/Pneumatic Actuation

Control valve capacities and characteristics are investigated, along with theory and practical advice on how to size them for water and steam systems. Actuators, positioners, and controllers are introduced plus their overall effect on the control loop.

1.       Control Valves

2.       Control Valve Capacity

3.       Control Valve Sizing for Water Systems

4.       Control Valve Sizing for Steam Systems

5.       Control Valve Characteristics

6.       Control Valve Actuators and Positioners

7.       Controllers and Sensors

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7. Control Hardware: Self-acting Actuation

Basic self-acting control theory is discussed, alongside the different types of direct-acting and pilot-operated valves, controllers, and applications for the proper selection of temperature and pressure control of steam and water systems.

1.       Self-acting Temperature Controls

2.       Typical Self-acting Temperature Control Valves and Systems

3.       Self-acting Pressure Controls and Applications

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8. Control Applications

A brief summary of, and advice on, temperature, pressure, flow and level control methods to suit various types of steam applications, with consideration to surplussing control, differential pressure control, and cascade control and installation thereof.

1.       Pressure Control Applications

2.       Temperature Control for Steam Applications

3.       Level and Flow Control Applications

4.       Control Installations

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9. Safety Valves

Arguably, the most important subject in the generation, distribution and use of steam. Why are safety valves required? What different types are available and how are they selected, sized and installed? Other protection devices are also shown in some detail.

1.       Introduction to Safety Valves

2.       Types of Safety Valve

3.       Safety Valve Selection

4.       Safety Valve Sizing

5.       Safety Valve Installation

6.       Alternative Plant Protection Devices and Terminology

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10. Steam Distribution

Efficient distribution gets clean dry steam to apparatus at the right pressure. Pipe sizing, essential drainage techniques, pipe support and expansion, air venting, and heat transfer calculations are included to help the system designer and practitioner.

1.       Introduction to Steam Distribution

2.       Pipes and Pipe Sizing

3.       Steam Mains and Drainage

4.       Pipe Expansion and Support

5.       Air Venting, Heat Losses and a Summary of Various Pipe Related Standards

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11. Steam Traps and Steam Trapping

How steam traps work and why steam traps are necessary. All is explained in this block, along with the different types, where they are used, and how they are selected. Air venting theory and applications are touched upon, along with steam trap maintenance.

1.       Introduction - Why Steam Traps?

2.       Thermostatic Steam Traps

3.       Mechanical Steam Traps

4.       Thermodynamic Steam Traps

5.       Considerations for Selecting Steam Traps

6.       Selecting Steam Traps - Canteen Equipment; Oil Transfer/Storage; Hospital Equipment

7.       Selecting Steam Traps - Industrial Dryers

8.       Selecting Steam Traps - Laundries, Presses

9.       Selecting Steam Traps - Process Equipment

10.    Selecting Steam Traps - Space Heating Equipment

11.    Selecting Steam Traps - Steam Mains; Tanks and Vats; Pressure Reducing Valves

12.    Air Venting Theory

13.    Air Venting Applications

14.    Testing and Maintenance of Steam Traps

15.    Energy Losses in Steam Traps

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12. Pipeline Ancillaries

These are often neglected to save costs; but strainers, stop valves, check valves, separators, gauge glasses and vacuum breakers all have their part to play in an efficient steam system. This block explains why, and explores the different types available.

1.       Isolation Valves - Linear Movement

2.       Isolation Valves - Rotary Movement

3.       Check Valves

4.       Strainers

5.       Separators

6.       Gauges, Sight Glasses, Vacuum Breakers

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13. Condensate Removal

Proper condensate removal is essential to heat exchanger efficiency and long service life. An explanation of how heat exchangers operate. It introduces the subject of stall, and why and how the best trapping device is selected to maximise system efficiency.

1.       Heat Exchangers and Stall

2.       The Heat Load, Heat Exchanger and Steam Load Relationship

3.       Oversized Heat Exchangers

4.       Example: Selecting the Trap

5.       The Stall Chart - Constant Flow Secondary - Varying Inlet Temperature - Constant Outlet Temperature

6.       The Stall Chart - Varying Flow Secondary - Constant Inlet Temperature - Constant Outlet Temperature

7.       The Stall Chart - Constant Flow Secondary - Constant Inlet Temperature - Varying Outlet Temperature

8.       Practical Methods of Preventing Stall

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14. Condensate Recovery

Relaying condensate back to the boiler house reduces costs. Pipe sizing and layout is discussed for drain lines, discharge lines, and pumped lines. The effects of lift and backpressure are explained; and how to reduce overall costs by utilising flash steam.

1.       Introduction to Condensate Recovery

2.       Layout of Condensate Return Lines

3.       Sizing Condensate Return Lines

4.       Pumping Condensate from Vented Receivers

5.       Lifting Condensate and Contaminated Condensate

6.       Flash Steam

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15. Desuperheating

Why is it necessary to desuperheat steam? What types of desuperheater exist, where are they used, and how are they installed? Basic types and more sophisticated types of desuperheater and their applications are discussed in some detail.

1.       Basic Desuperheating Theory

2.       Basic Desuperheater Types

3.       Other Types of Desuperheater

4.       Typical Installations

 

16. Equations

A list of all the equations used in the complete set of Steam Engineering Tutorials relating to the subject of how to get the best out of the steam and condensate loop.

5.       Equations

 

Engineering Units

An overview of the units of measurement used in the Steam and Condensate Loop including temperature, pressure, density, volume, heat, work and energy.

Use the quick links below to take you to the main sections of this tutorial:

         Temperature

         Pressure

         The printable version of this page has now been replaced by The Steam and Condensate Loop Book

         Try answering the Questions for this tutorial

         View the complete collection of Steam Engineering Tutorials

         Contact Us

Throughout the engineering industries, many different definitions and units have been proposed and used for mechanical and thermal properties.

The problems this caused led to the development of an agreed international system of units (or SI units: Système International d'Unités). In the SI system there are seven well-defined base units from which the units of other properties can be derived, and these will be used throughout this publication.

The SI base units include length (in metres), mass (in kilograms), time (in seconds) and temperature (in kelvin). The first three will hopefully need no further explanation, while the latter will be discussed in more detail later.

The other SI base units are electric current (in amperes), amount of substance (in moles) and luminous intensity (in candela). These may be familiar to readers with a background in electronics, chemistry and physics respectively, but have little relevance to steam engineering nor the contents of The Steam and Condensate Loop.

Table 2.1.1 shows the derived units that are relevant to this subject, all of which should be familiar to those with any general engineering background. These quantities have all been assigned special names after famous pioneers in the development of science and engineering.

Table  2.1.1  Named quantities in derived SI unitsTable 2.1.1 Named quantities in derived SI units

There are many other quantities that have been derived from SI base units, which will also be of significance to anyone involved in steam engineering. These are provided in Table 2.1.2.

Table  2.1.2  Other quantities in derived SI units

Table 2.1.2 Other quantities in derived SI units

Dot notation
This convention is used to identify a compound unit incorporating rate, for example:

m = Mass (e.g. kg)
http://www.spiraxsarco.com/resources/steam-engineering-tutorials/images/m_lower_dot_normal.gif= Mass flow per time unit (e.g. kg/h) = Mass flowrate

Multiples and submultiples
Table 2.1.3 gives the SI prefixes that are used to form decimal multiples and submultiples of SI units. They allow very large or very small numerical values to be avoided. A prefix attaches directly to the name of a unit, and a prefix symbol attaches directly to the symbol for a unit.

In summary: one thousand metres may be shown as 1 km, 1000 m or 103 m.

Table 2.1.3 Multiples and submultiples used with SI unitsTable 2.1.3 Multiples and submultiples used with SI units

Special abbreviations used in steam flowmetering applications
For historical reasons, International Standard ISO 5167 (supersedes BS 1042) which refers to flowmetering, use the following abbreviations in Table 2.1.4.

Table 2.1.4 Symbols used in flowmetering applicationsTable 2.1.4 Symbols used in flowmetering applications

STP - Standard temperature and pressure
These are the standard conditions for measurement of the properties of matter. The standard temperature is the freezing point of pure water, 0°C or 273.15°K. The standard pressure is the pressure exerted by a column of mercury (symbol Hg) 760 mm high, often designated 760 mm Hg. This pressure is also called one atmosphere and is equal to 1.01325 x 106 dynes per square centimetre, or approximately 14.7 lb per square inch. The density (mass per volume) of a gas is usually reported as its value at STP. Properties that cannot be measured at STP are measured under other conditions; usually the values obtained are then mathematically extrapolated to their values at STP.

Symbols
Table 2.1.5 shows the symbols and typical units used in The Steam and Condensate Loop.

Table 2.1.5 Symbols and units of measure used in The Steam and Condensate LoopTable 2.1.5 Symbols and units of measure used in The Steam and Condensate Loop

Subscripts used with properties
When using enthalpy, entropy and internal energy, subscripts as shown below are used to identify the phase, for example:

Subscript f = Fluid or liquid state, for example hf: liquid enthalpy

Subscript fg = Change of state liquid to gas, for example hfg: enthalpy of evaporation

Subscript g = Total, for example hg: total enthalpy

Note that, by convention, the total heat in superheated steam is signified by h.

It is also usual, by convention, to signify sample quantities in capital letters, whilst unit quantities are signified in lower case letters.

For example:
Total enthalpy in a sample of superheated steam H kJ
Specific enthalpy of superheated steam h kJ/kg

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Temperature

The temperature scale is used as an indicator of thermal equilibrium, in the sense that any two systems in contact with each other with the same value are in thermal equilibrium.

The Celsius (°C) scale
This is the scale most commonly used by the engineer, as it has a convenient (but arbitrary) zero temperature, corresponding to the temperature at which water will freeze.

The absolute or K (kelvin) scale
This scale has the same increments as the Celsius scale, but has a zero corresponding to the minimum possible temperature when all molecular and atomic motion has ceased. This temperature is often referred to as absolute zero (0 K) and is equivalent to -273.16°C.

The two scales of temperature are interchangeable, as shown in Figure 2.1.1 and expressed in Equation 2.1.1.

Fig. 2.1.1  Comparison of absolute and gauge pressuresFig. 2.1.1 Comparison of absolute and gauge pressures

Equation 2.1.1Equation 2.1.1

The SI unit of temperature is the Kelvin, which is defined as 1 ÷ 273.16 of the thermodynamic temperature of pure water at its triple point (0°C). An explanation of triple point is given in Tutorial 2.2.

Most thermodynamic equations require the temperature to be expressed in kelvin. However, temperature difference, as used in many heat transfer calculations, may be expressed in either °C or K. Since both scales have the same increments, a temperature difference of 1°C has the same value as a temperature difference of 1 K.

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Pressure

The SI unit of pressure is the pascal (Pa), defined as 1 newton of force per square metre (1 N/m2). As Pa is such a small unit the kPa (1 kilonewton/m2) or MPa (1 Meganewton/m2) tend to be more appropriate to steam engineering.

However, probably the most commonly used metric unit for pressure measurement in steam engineering is the bar. This is equal to 105 N/m2, and approximates to 1 atmosphere. This unit is used throughout this publication.

Other units often used include lb/in2 (psi), kg/cm2, atm, in H2O and mm Hg. Conversion factors are readily available from many sources.

Fig. 2.1.2  Comparison of absolute and gauge pressuresFig. 2.1.2 Comparison of absolute and gauge pressures

Absolute pressure (bar a)
This is the pressure measured from the datum of a perfect vacuum i.e. a perfect vacuum has a pressure of 0 bar a.

Gauge pressure (bar g)
This is the pressure measured from the datum of the atmospheric pressure. Although in reality the atmospheric pressure will depend upon the climate and the height above sea level, a generally accepted value of 1.013 25 bar a (1 atm) is often used. This is the average pressure exerted by the air of the earth's atmosphere at sea level.

Gauge pressure = Absolute pressure - Atmospheric pressure

Pressures above atmospheric will always yield a positive gauge pressure. Conversely a vacuum or negative pressure is the pressure below that of the atmosphere. A pressure of -1 bar g corresponds closely to a perfect vacuum.

Differential pressure
This is simply the difference between two pressures. When specifying a differential pressure, it is not necessary to use the suffixes 'g' or 'a' to denote either gauge pressure or absolute pressure respectively, as the pressure datum point becomes irrelevant.

Therefore, the difference between two pressures will have the same value whether these pressures are measured in gauge pressure or absolute pressure, as long as the two pressures are measured from the same datum.

Density and specific volume
The density ρ of a substance can be defined as its mass (m) per unit volume (V). The specific volume (vg) is the volume per unit mass and is therefore the inverse of density. In fact, the term 'specific' is generally used to denote a property of a unit mass of a substance (see Equation 2.1.2).

Equation 2.1.2 Equation 2.1.2

Where:

r

=

Density(kg/m3)

m

=

Mass (kg)

V

=

Volume (m3)

vg

=

Specific volume (m3/kg)



The SI units of density (r) are kg/m3, whilst conversely the units of specific volume (vg) are m3/kg.

Another term used as a measure of density is the specific gravity. It is a ratio of the density of a substance (ρs) and the density of pure water (rw) at standard temperature and pressure (STP). This reference condition is usually defined as being at atmospheric pressure and 0°C. Sometimes it is said to be at 20°C or 25°C and is referred to as normal temperature and pressure (NTP).

 

Equation 2.1.3Equation 2.1.3

The density of water at these conditions is approximately 1 000 kg/m3. Therefore substances with a density greater than this value will have a specific gravity greater than 1, whereas substances with a density less than this will have a specific gravity of less than 1.

Since the specific gravity is a ratio of two densities, it is a dimensionless variable and has no units. Therefore in this case the term specific does not indicate it is a property of a unit mass of a substance. The specific gravity is also sometimes known as the relative density of a substance.

Heat, work and energy
Energy is sometimes described as the ability to do work. The transfer of energy by means of mechanical motion is called work. The SI unit for work and energy is the joule, defined as 1 N m.

The amount of mechanical work done can be determined by an equation derived from Newtonian mechanics:

Work = Force x Displacement

It can also be described as the product of the applied pressure and the displaced volume:

Work = Applied pressure x Displaced volume

Example 2.1.1
An applied pressure of 1 Pa (or 1 N/m2) displaces a volume of 1 m3. How much work has been done ?

Work done = 1 N/m2 x 1 m3 = 1 N m (or 1 J)

The benefits of using SI units, as in the above example, is that the units in the equation actually cancel out to give the units of the product.

The experimental observations of J. P. Joule established that there is an equivalence between mechanical energy (or work) and heat. He found that the same amount of energy was required to produce the same temperature rise in a specific mass of water, regardless of whether the energy was supplied as heat or work.

The total energy of a system is composed of the internal, potential and kinetic energy. The temperature of a substance is directly related to its internal energy (ug). The internal energy is associated with the motion, interaction and bonding of the molecules within a substance. The external energy of a substance is associated with its velocity and location, and is the sum of its potential and kinetic energy.

The transfer of energy as a result of the difference in temperature alone is referred to as heat flow. The watt, which is the SI unit of power, can be defined as 1 J/s of heat flow.

Other units used to quantify heat energy are the British Thermal Unit (Btu: the amount of heat to raise 1 lb of water by 1°F) and the kilocalorie (the amount of heat to raise 1 kg of water by 1°C). Conversion factors are readily available from numerous sources.

Specific enthalpy
This is the term given to the total energy, due to both pressure and temperature, of a fluid (such as water or steam) at any given time and condition. More specifically it is the sum of the internal energy and the work done by an applied pressure (as in Example 2.1.1).

The basic unit of measurement is the joule (J). Since one joule represents a very small amount of energy, it is usual to use kilojoules (kJ) (1 000 Joules).

The specific enthalpy is a measure of the total energy of a unit mass, and its units are usually kJ/kg.

Specific heat capacity
The enthalpy of a fluid is a function of its temperature and pressure. The temperature dependence of the enthalpy can be found by measuring the rise in temperature caused by the flow of heat at constant pressure. The constant-pressure heat capacity cp, is a measure of the change in enthalpy at a particular temperature.

Similarly, the internal energy is a function of temperature and specific volume. The constant-volume heat capacity cv, is a measure of the change in internal energy at a particular temperature and constant volume.

Because the specific volumes of solids and liquids are generally smaller, then unless the pressure
is extremely high, the work done by an applied pressure can be neglected. Therefore, if the enthalpy can be represented by the internal energy component alone, the constant-volume and constant-pressure heat capacities can be said to be equal.

Therefore for, solids and liquids: cp ≈ cv

Another simplification for solids and liquids assumes that they are incompressible, so that their volume is only a function of temperature. This implies that for incompressible fluids the enthalpy and the heat capacity are also only functions of temperature.

The specific heat capacity represents the amount of energy required to raise 1 kg by 1°C, and can be thought of as the ability of a substance to absorb heat. Therefore the SI units of specific heat capacity are kJ/kg K (kJ/kg °C). Water has a very large specific heat capacity (4.19 kJ/kg °C) compared with many fluids, which is why both water and steam are considered to be good carriers of heat.

The amount of heat energy required to raise the temperature of a substance can be determined from Equation 2.1.4.

Equation 2.1.4Equation 2.1.4

Where:

Q

=

Quantity of energy (kJ)

m

=

Mass of the substance (kg)

cp

=

Specific heat capacity of the substance (kJ/kg°C)

DT

=

Temperature rise of the substance (°C)


This equation shows that for a given mass of substance, the temperature rise is linearly related to the amount of heat provided, assuming that the specific heat capacity is constant over that temperature range.

Example 2.1.2
Consider a quantity of water with a volume of 2 litres, which is raised from a temperature of 20°C to 70°C.

At atmospheric pressure, the density of water is approximately 1 000 kg/m3. As there are 1 000 litres in 1 m3, then the density can be expressed as 1 kg per litre (1 kg/l). Therefore the mass of the water is 2 kg.

The specific heat capacity for water can be taken as 4.19 kJ/kg °C over low ranges of temperature.

Therefore: Q = 2 kg x 4.19 kJ/kg °C x (70 - 20)°C = 419 kJ

If the water was then cooled to its original temperature of 20°C, it would also provide this amount of energy in the cooling application.

Entropy (S)
Entropy is a measure of the degree of disorder within a system. The greater the degree of disorder, the higher the entropy. The SI units of entropy are kJ/kg K (kJ/kg °C).

In a solid, the molecules of a substance arrange themselves in an orderly structure. As the substance changes from a solid to a liquid, or from a liquid to a gas, the arrangement of the molecules becomes more disordered as they begin to move more freely. For any given substance the entropy in the gas phase is greater than that of the liquid phase, and the entropy in the liquid phase is more than in the solid phase.

One characteristic of all natural or spontaneous processes is that they proceed towards a state of equilibrium. This can be seen in the second law of thermodynamics, which states that heat cannot pass from a colder to a warmer body.

A change in the entropy of a system is caused by a change in its heat content, where the change of entropy is equal to the heat change divided by the average absolute temperature, Equation 2.1.5.

Equation 2.1.5Equation 2.1.5

When unit mass calculations are made, the symbols for entropy and enthalpy are written in lower case, Equation 2.1.6.

Equation 2.1.6Equation 2.1.6

To look at this in further detail, consider the following examples:

Example 2.1.3
A process raises 1 kg of water from 0 to 100°C (273 to 373 K) under atmospheric conditions.

Specific enthalpy at 0°C (hf)

=

0 kJ/kg (from steam tables)

Specific enthalpy of water at 100°C (hf)

=

419 kJ/kg (from steam tables)



Calculate the change in specific entropy

Since this is a change in specific entropy of water, the symbol 's' in Equation 2.1.6 takes the suffix 'f' to become sf.

 

http://www.spiraxsarco.com/images/resources/steam-engineering-tutorials/2/1/example_2_1_3.gif

Example 2.1.4
A process changes 1 kg of water at 100°C (373 K) to saturated steam at 100°C (373 K) under atmospheric conditions.

Calculate the change in specific entropy of evaporation

Since this is the entropy involved in the change of state, the symbol 's' in Equation 2.1.6 takes the suffix 'fg' to become sfg.

Specific enthalpy of evaporation of steam at 100°C (373 K) (hfg) = 2 258 kJ/kg (from steam tables)

Specific enthalpy of evaporation of water at 100°C (373 K) (hfg) = 0 kJ/ks (from steam tables)

 

http://www.spiraxsarco.com/images/resources/steam-engineering-tutorials/2/1/example_2_1_4.gif

The total change in specific entropy from water at 0°C to saturated steam at 100°C is the sum of the change in specific entropy for the water, plus the change of specific entropy for the steam, and takes the suffix 'g' to become the total change in specific entropy sg.

http://www.spiraxsarco.com/images/resources/steam-engineering-tutorials/2/1/example_2_1_4b.gif

Example 2.1.5
A process superheats 1 kg of saturated steam at atmospheric pressure to 150°C (423 K). Determine the change in entropy.

http://www.spiraxsarco.com/images/resources/steam-engineering-tutorials/2/1/example_2_1_5.gif

Equation 2.1.6Equation 2.1.6

http://www.spiraxsarco.com/images/resources/steam-engineering-tutorials/2/1/example_2_1_5b.gif

As the entropy of saturated water is measured from a datum of 0.01°C, the entropy of water at 0°C can, for practical purposes, be taken as zero. The total change in specific entropy in this example is based on an initial water temperature of 0°C, and therefore the final result happens to be very much the same as the specific entropy of steam that would be observed in steam tables at the final condition of steam at atmospheric pressure and 150°C.

Entropy is discussed in greater detail in Tutorial 2.15, Entropy - A Basic Understanding, and in Tutorial 2.16, Entropy - Its Practical Use.

 

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