6.4 Numerical Analysis
6.4.1 Full MSSM framework
6
DESICCANT DEHUMIDIFIER PERFORMANCE7
SYSTEM DESIGN8
OPTIMIZING MIXED SYSTEMS9
HUMIDITY AND MOISTURE INSTRUMENTATION10
MINIMIZING COST & MAXIMIZING BENEFITSA
APPENDIXT
his handbook explains how and why to dehumidify air. It is written for the engineer who has a basic understanding of building heating and cooling systems, or who operates a building or process which is influenced by atmospheric humidity.The text assumes the reader is interested in the technology, and has a need to apply it to gain some economic benefit. The text also assumes the reader is interested in specific examples as well as the theory of dehumidification. These assumptions guide the necessary compromises any book must make between accuracy and clarity, and between details which illustrate a specific case and those which illustrate general, abstract principles.
Part of the information collected here comes from other technical references which deal incidentally with dehumidification in discussions of related topics. The American Society of Heating, Air Conditioning and Refrigerating Engineers (ASHRAE) has provided helpful
information through its Handbook series. In addition, many industries have provided data which can assist the dehumidification engineer working in other fields.
The primary information source is the collected experience of hundreds of engineers who deal with dehumidification and humidity control on a daily basis. These individuals have been very generous with their time and hard won understanding of dehumidification technology. Every day they must balance the opposing pressures of optimum theoretical system performance against compelling limitations of available information, time and budget. The system design examples are fictitious, but every element contained in them has occurred in the field.
In the last few years, dehumidification technology has emerged from its industrial heritage to take an expanding role in commercial and
institutional building heating and cooling systems. The entire field is changing rapidly. It has been a difficult decision to limit the
information here to what is well understood by the contributors and in widespread use as of the publication date. Many new applications and new equipment designs will become available in the next few years.
Undoubtedly some applications are missing from this handbook because the contributors may not be fully aware of them or choose not to describe them at this time. For these omissions we must apologize.
The contributors and the Editor hope the reader will be kind enough to inform the publisher of his or her own special knowledge and
experiences, so that future editions of this handbook can be
Psychrometric Chart & Variables
Dry Bulb Temperature Relative Humidity Specific Humidity Vapor Pressure
Dewpoint Temperature Enthalpy
Wet-bulb Temperature
Additional References
2
PSYCHROMETRICS
T
he practice of humidity control assumes a familiarity with the properties and behavior of moist air. This is the science of psychrometrics. While it is not necessary to have a deep understanding of the thermodynamics of moist air, it is useful to understand the terms used in the trade, and understand why particular concepts are essential in designing systems.Psychrometric terms and equations are described in detail in the Hand-book of Fundamentals published by the American Society of Heating, Air Conditioning and Refrigerating Engineers (ASHRAE). When an engineer needs to understand all aspects of psychrometrics, the ASHRAE Handbook of Fundamentals provides an excellent reference.
This chapter is not concerned with complete precision for all tempera-tures and pressures of air and water mixtempera-tures. We assume the designer is working at sea level air pressures, and is concerned with air-water mixtures at temperatures between -20 and +100°F. The information in the chapter describes the basic terms in a simple way, and shows how charts and graphs can be used to understand the overall pattern of air-moisture dynamics.
CHAPTER TWO
Early in the twentieth century, a German engineer named Richard Mollier invented a graphic method of displaying the properties of vari-ous mixtures of air and water vapor. This device has different names in different counties — the i-x diagram, Mollier diagram or psychrometric chart — but the names all refer to similar technical graphic displays.
At first, the chart can be rather daunting, because it displays so much information in a small space. However, once the basic information elements are understood, the chart becomes an essential reference tool when designing temperature and humidity control systems.
This chapter describes each of the properties of moist air in turn, and then shows how these can be found quickly by using a psychrometric chart. The chart is useful both for the information it contains, and the relationships it shows between air at different conditions. It not only shows the “trees” in the psychrometric jungle, but shows the whole
“forest” as well, allowing an engineer to gain a sense of how easy or difficult it might be to change the air from one condition to another.
FIGURE 2.1
The Mollier diagram, often called a psychrometric chart, provides a compre-hensive overview of the thermodynamic properties of air-water mixtures. If any two properties of the air mixture are known, the chart allows an engineer to quickly determine all its other properties.
The relationships shown in the diagram change with total air pressure. When working with air at elevations above 2500 ft.
— or with compressed air — the engineer must consult different charts for accurate data.
( Grains of water vapor per pound of dr y air)
Vapor pressure ( Inches of mercury)
0.9 1.1 1.3
0.7
Air dewpoint ( °F)
95
50 % Relative humidity 40 %
70° F
70°Dry bulb temperature
To help make the abstract properties of air more concrete, we will imagine a container filled with a pound of air. The air has been taken from a sea-level building kept at typical comfort conditions — 70 de-grees Fahrenheit and 50% relative humidity. Knowing these two prop-erties of the air, we can determine all others by using a psychrometric chart. But we will begin by defining what we know.
Dry Bulb Temperature
Degrees FahrenheitThe air temperature is 70 degrees. When people refer to the temperature of the air, they are commonly referring to its dry bulb temperature — what can be read from a stan-dard thermometer that has no water on its surface. This is also called the “sensible”
temperature of the air — the heat which can be sensed by a dry thermometer. (The “wet-bulb” temperature is measured by a wet thermometer, as described later in this chapter.)
On a psychrometric chart, the dry bulb temperature of the air is dis-played at the bottom, increasing from left to right.
Relative humidity
Percent of saturationIn our example, the air is at 50% relative humidity. Essentially, relative humidity ex-presses the moisture content of air as a per-cent of what it can hold when the air is saturated.1 Like the name suggests, it is not a measure of the absolute amount of moisture in the air; it measures the moisture contained in the air relative to the maximum value at the dry bulb temperature of the air sample. Since that maximum in-creases with temperature, the term relative humidity has caused much confusion. When people refer to relative humidity, it is important to define the dry bulb temperature of the air they are referring to.
Relativehumidity
50%
50 % rh
1 This definition is accurate in concept, but strictly speaking, relative humidity is the ratio of the mole fraction of water vapor to the mole fraction of water vapor of air saturated at the same temperature and barometric pressure.The difference between this definition and the description above is normally significant only outside of the human comfort range.
FIGURE 2.2 FIGURE 2.3
FIGURE 2.5 FIGURE 2.4
CHAPTER TWO
This is not to say that relative humidity is not useful. Quite the con-trary. Most materials absorb moisture in proportion to the relative hu-midity of the surrounding air. Appropriately, many huhu-midity control systems respond to sensors which measure relative rather than abso-lute humidity. However, in designing a system to control air moisture, it is important to define both the relative humidity and its concurrent dry bulb temperature range.
On the psychrometric chart, relative humidity is displayed as a series of curves, increasing from the bottom of the chart to the “saturation curve” which forms the left boundary. The saturation curve represents 100% relative humidity.
Humidity Ratio
Grains of water vapor per pound of air To define the absolute amount of moisture in the air, we use its weight compared to the weight of the air.This is like counting the water mol-ecules and adding their weight to-gether. The weight is measured in grains, and there are 7000 grains in a pound. In our example, when the air is at 70°F and 50% rh, its specific humidity is 55 grains of water per pound of dry air. In other words, in our one pound sample, 55 grains of the total weight is water vapor, and 6945 grains is the weight of the air.
The psychrometric chart allows us to determine the humidity ratio of our air sample. By starting at the 70°, 50% point on the chart, we can read the humidity ratio by tracing a horizontal line to the chart’s right edge, where the scale indicates the weight of the moisture in grains per pound.2
One pound Water vapor = 55 grains
Air = 6945 grains
Specific humidity
55 gr
2 Actually, the psychrometric chart displays grains of water per pound of dry air
— a slightly different case, since the chart refers to any sample, unbounded by total weight. Our sample has a fixed total weight. It weighs one pound, 55 grains of which is water vapor.
FIGURE 2.7 FIGURE 2.6
Other psychrometric charts will display the humidity ratio as a small decimal fraction representing the mass of water divided by the mass of air. It amounts to the same thing. If you multiply the decimal fraction by 7000, you can convert the ratio to grains of water per pound of air, since there are 7000 grains in a pound. Multiply the ratio by 1000, and the value is expressed in grams per kilogram. In all cases, the vertical scale at the right edge of the chart indicates the absolute rather than the relative amount of moisture.
Vapor pressure
Inches of mercuryLike all gas molecules, each water molecule exerts pressure on the surrounding environment. The amount of vapor pressure at a certain moisture content is the sum of the pressures of all the water molecules.
The unit of measure is inches of mercury — in other words, how high the water vapor can lift a column of mercury due only to its own pressure. In this example, the vapor lifts a column of mercury 0.37 inches high.
In conventional heating and cooling, engineers often measure air pres-sure in inches of water. Realizing that mercury weighs 13.6 times as much as water, it becomes apparent that a large amount of water vapor exerts a considerable force. The pressure difference is enough to peel paint off of wooden siding in the winter. There is more moisture inside the wood than outside, so the pressure difference forces the paint off the surface. As explained further in Chapter 3, desiccant dehumidifiers use differences in vapor pressure to attract water molecules out of the air and onto the desiccant surface.
The vapor pressure scale to the right of the chart increases linearly, just like specific humidity. Humidity ratio essentially represents the number of molecules, and vapor pressure sums the pressure they exert.
Vapor pressure
0.37"
0.37"
FIGURE 2.9 FIGURE 2.8
CHAPTER TWO
Air dewpoint temperature
Satur ation
cur ve
50° 50°
Dew point temperature
Degrees fahrenheitIf moist air is cooled, it cannot hold the same amount of moisture. At some point, the moisture will condense out of the air onto any nearby surface. This point depends on the amount of moisture in the air, and is called the dew point temperature. The higher the amount of moisture in the air, the higher the dew point temperature.
In our example, the air has a moisture con-tent of 55 grains. This amount of moisture will condense if the air temperature is
dropped to 50°F. For instance, if a cold can of beer is taken from the refrigerator at a tem-perature of 50°F and placed in our air sample, the can surface will cool the air from 70° to 50°, and moisture in the air next to the can will begin to condense.
In other words, our air sample is “saturated” when cooled to 50°F — it has reached a condition of 100% relative humidity.
The left edge of the psychrometric chart is sometimes called the satura-tion curve. If you draw a line horizontally to the left from the 70°, 50%
rh condition, it will intersect the edge — the saturation curve — at a temperature of 50°. This particular chart also repeats the dewpoint on a vertical bar to the right of the chart.
Cooling-based dehumidification systems remove moisture from air by cooling it below its dewpoint temperature. Cold objects in storage can be below the dewpoint temperature of the surrounding air, so moisture condenses on them just like the beer can in our example. The impor-tance of these facts will become apparent in later chapters.
Enthalpy
Btu’s per pound of air Enthalpy is a useful, but some-times confusing concept — the measure of the total energy in the air. When air is hot, its enthalpy is high. Enthalpy is also high when air is moist. This is because it takes heat to evaporatemois-ture into the air — the more moismois-ture in the air, the more heat was
70° F = 16.8 Btu
55 grains = 8.6 Btu
Enthalpy = 25.4 Btu ( @ one atmosphere)
FIGURE 2.11
Enthalpy
25.4 Btu
FIGURE 2.10
BEER
50° F
FIGURE 2.12 FIGURE 2.13
necessary to heat it and evaporate it. Every pound of water requires approximately 1061 Btu’s for evaporation. (The actual amount of heat necessary reduces as the temperature rises. 1061 Btus is the value at 0°F). Therefore enthalpy — the total energy of the air — is a function of its sensible temperature, the absolute amount of moisture it contains and its total pressure.
In other references, enthalpy is defined as the sum of the sensible and latent heat in the air. The term “latent heat” is another way of express-ing the amount of moisture in the air. Moisture represents the amount of heat required for its evaporation, but that heat is latent — it cannot be “sensed” by a dry bulb thermometer. On the psychrometric chart, the enthalpy scale is located to the left of the saturation curve. In our example, the enthalpy at 70°F and 50% rh is 25.4 Btu per pound of air.
The concept of enthalpy and the psychrometric chart allows the engi-neer to quickly and easily calculate the minimum energy to move from any condition to any other condition. This is very useful in designing systems to control air temperature and moisture. For example, If we needed to saturate the air in our container to a condition of 70° and 100% relative humidity, we would have to add moisture, and the en-ergy required to evaporate the additional moisture would be at least 8.67 Btu’s for every pound of air we saturate. This is the difference between the current enthalpy and the 34.07 Btu enthalpy of air at 70°, 100% rh.
Wet-bulb temperature
Degrees fahrenheitWhere the dry-bulb temperature is mea-sured by a dry thermometer, the wet-bulb temperature is taken by surrounding the sensor with a wet wick and measuring the reading as the water evaporates. As the water evaporates from the wick, it draws heat required for evaporation from the thermometer bulb, cooling the thermom-eter in proportion to the amount of evaporation. In our example, the wet bulb thermometer is cooled from 70°F to 58.5° by evaporation.
If the air was more saturated than 50%, it would not have been cooled so much. If the air was drier, the wet bulb temperature would be below 58.5°.
70° F
Dry bulb 58.5° F
Wet bulb FIGURE 2.15
Wet bulb temperature
58.5°
FIGURE 2.14
CHAPTER TWO
On the psychrometric chart, the wet bulb lines are very nearly parallel to the enthalpy lines. If we know both the wet bulb and dry bulb tem-perature of the air, its absolute moisture content can be found easily by using the chart. This is the basis of many simple moisture measure-ment devices like the “sling psychrometer”.
The concept of wet bulb temperature is useful because it is a relatively simple and inexpensive way to measure air moisture. Also, the differ-ence between the dry bulb and wet bulb temperatures provides a mea-sure of the air’s drying potential. If the dry bulb is high and the wet bulb low, the air can absorb a large amount of moisture, and it con-tains enough sensible heat to vaporize the water it can absorb. If both the dry and wet bulb temperatures are the same, the air is saturated and cannot absorb more moisture.
Additional references
There are subtle differences between the definitions we have used here and definitions which are completely precise for all temperatures and pressures. For instance, the relative humidity of the air is actually “the ratio of the mole fraction of water of the sample compared to the mole fraction of air saturated at the same temperature and pressure”. In most situations, the difference between this value and the value arrived at by dividing the sample moisture in grains by the saturated moisture is insignificant. But in calculations for very low humidities, or for product drying at high temperatures and high moisture contents, the error is larger and may be important. When engineers need to know the precise definition of psychrometric terms, they should consult references that treat the subject in more depth than space allows here. Some references include:
Handbook of Fundamentals. 2001. American Society of Heating, Air Conditioning and Refrigerating Engineers (ASHRAE) 1791 Tullie Circle, N.E., Atlanta, GA 30329
Hyland, Richard W. and Wexler, Arnold. 1983. Formulations for the thermodynamic properties of dry air from 173.15 K to 473.15 K and of saturated moist air from 173.15 K to 473.15 K, at pressures to 5 MPa.
ASHRAE Transactions 89(2A) : pp 520-535. American Society of Heat-ing, Air conditioning and Refrigerating Engineers (ASHRAE) 1791 Tullie Circle, N.E., Atlanta, GA 30329
Cooling-based Dehumidification
Direct Expansion Systems Chilled Liquid Systems
Dehumidification-reheat Systems Limits of performance
Desiccant Dehumidifiers
Liquid Spray-tower Solid Packed Tower Rotating Horizontal Bed Multiple Vertical Bed Rotating Honeycombe®
Comparing Dehumidifiers
Criteria Unit Sizes
Delivered Dewpoint Installed Cost Operating Cost
Choosing Between Desiccant and Cooling Dehumidifiers
3
METHODS OF
DEHUMIDIFICATION
T
here are three ways to remove moisture from air: by cooling it to condense the water vapor, by increasing its total pressure — which also causes condensation — or by passing the air over a desiccant, which pulls moisture from the air through differences in vapor pressures.Information concerning pressure-based dehumidification can be found in references addressing compressed air. Since this handbook deals with ambient pressure humidity control, Chapter Three will discuss cooling and desiccant dehumidification techniques — how they work,
Information concerning pressure-based dehumidification can be found in references addressing compressed air. Since this handbook deals with ambient pressure humidity control, Chapter Three will discuss cooling and desiccant dehumidification techniques — how they work,