This manual is designed for engineers and technicians from a wide range of abilities and backgrounds and will provide an excellent introduction to the fundamentals of heating, ventilation and air-conditioning. It commences with a review of psychrometric charts and then examines the factors that influence design choices, indoor air quality, load calculations and heating/ventilation and air-conditioning systems. Numerous tips and tricks throughout the manual make it very practical and topical to your applications.
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An Introduction to Practical Fundamentals of Heating, Ventilation & Airconditionning (HVAC)
1 Introduction
Objectives
After reading this chapter the student should be able to:
1.1 General
Air conditioning for human comfort was considered a luxury a few decades ago, but now it has become a necessity in life. The air conditioning industry is rapidly developing throughout the world. More than 10 million window installations are being installed each year and residential central cooling installations are enjoying similar popularity.
Apart from reasons for comfort alone, air conditioning is commonly used nowadays in various industries such as food, automobiles, hotels, textiles and many more. On Earth, not only pollution from smoke is on the rise but pollution from dust is also playing havoc with our lives. Air conditioning plays a vital role in keeping out smoke and dust which could harm our health. Similarly, air conditioning has an important role to play in the preservation of food.
At present, there is hardly any sector of the economy that is not dependent on this industry. In fact in most areas of industry, HVAC systems are considered to be a basic necessity.
It is thus important to become part of this industry and this course is targeted at providing you with the basic knowledge and technology to play a role in designing, installing and commissioning HVAC systems.
The following gives an overview of the basic principles of thermodynamics, which play a key role in understanding HVAC systems.
1.2 Principles of Thermodynamics
1.2.1 Force, Newtons
In simple language, force is defined as a push or a pull. It is anything that has a tendency to set a body into motion, to bring a body to rest or change the direction of any motion.
1.2.2 Pressure, Pascals
Pressure is the force exerted per unit area. It may be described as the measure of intensity of a force exerted on any given point on the contact surface. Whenever a force is evenly distributed over a given area the pressure at any point on the surface is the same. It can be calculated by dividing the total force exerted by the area (on which the force is exerted).
Atmospheric pressure
The Earth is surrounded by an envelope of air called the atmosphere, which extends upward from the surface of the earth. Air has mass and due to gravity exerts a force called weight. The force per unit area is called pressure. This pressure exerted on the Earth’s surface is known as atmospheric pressure.
Gauge pressure
Most pressure measuring instruments measure the difference between the pressure of a fluid and the atmospheric pressure. This is referred to as gauge pressure.
Absolute pressure
Absolute pressure is the sum of gauge pressure and atmospheric pressure.
Vacuum
If the pressure is lower than the atmospheric pressure, its gauge pressure is negative and the term vacuum is applied to the magnitude of the gauge pressure when the absolute pressure is zero (i.e. there is no air present whatsoever).
The relationships among absolute pressure, gauge pressure, atmospheric pressure and vacuum are shown graphically in the Figure 1.1.
Figure 1.1
Relationship between absolute, gauge and vacuum pressures
In the above figure
P_{a} is the atmospheric pressure
P_{gauge }is the gauge pressure
P_{ab} is the absolute pressure
P_{vacuum }is the vacuum pressure
1.2.3 Density
It is defined as the mass of a substance divided by its volume or the mass per unit volume.
r = mass/volume
Specific Volume is defined as the reciprocal of density or volume per unit mass.
v = V/m
Specific Weight (Ws) is defined as the weight of a substance divided by its volume or the weight per unit volume.
Ws = m/V
1.2.4 Work
If a system undergoes a displacement under the action of a force, work is said to be done; the amount of work being equal to the product of force and the component of displacement parallel to the force. If a system as a whole exerts a force on its surrounding and a displacement takes place, the work that is done either by or on the system is said to be external work.
1.2.5 Energy
A body is said to possess energy when it is capable of doing work. In more general terms, energy is the capacity of a body for producing an effect. Energy is classified as
The following are the various forms of energy.
Potential energy (P.E)
It is the energy stored in the system due to its position in the gravitational force field. If a heavy object such as a building stone is lifted from the ground to the roof, the energy required to lift the stone is stored in it as potential energy. This stored potential energy remains unchanged as long as the stone remains in its position.
P×E = mgH
Where
H = height of the object above the datum
Units
Kinetic Energy (K.E), Joules= Newton meter
If a body weighing one kg is moving with a velocity of v m/sec with respect to the observer, then the kinetic energy stored in the body is given by:
K.E =
This energy will remain stored in the body as long as it continues in motion at a constant velocity. When the velocity is zero, the kinetic energy is also zero.
Internal Energy
Molecules possess mass. They possess motion of transactional and rotational nature in liquid and gaseous states. Owing to the mass and motion these molecules have a large amount of kinetic energy stored in them. Any change in the temperature results in the change in the molecular kinetic energy since molecular velocity is a function of temperature.
Also the molecules are attracted towards each other by forces, which are very large in their solid state and tend to vanish once they are in a perfect gas state. In the melting of a solid or vaporization of a liquid it is necessary to overcome these forces. The energy required to bring about this change is stored in molecules as potential energy.
The internal energy is defined as the total energy of the body - chemical, nuclear, heat, gravitational, or any other type of energy. This energy is stored within the body which is denoted by the symbol ‘µ’. It is obvious from the above definition that it is impossible to measure the absolute value of the internal energy. However, we can measure the changes occurring in the internal energy. Since thermodynamics deals with the change in the internal energy of the system, it is important to know what causes the internal energy to change. The change in the internal energy can be caused by either due to absorption or release of heat in the system or the work done by or on the system., or if any matter enters or leaves the system.
1.2.6 Heat
Heat is one of the many forms of energy. This is evident from the fact that heat can be converted into other forms of energy and that other forms of energy can be converted into heat. Heat as molecular energy is universally accepted and heat as internal energy of the matter is thermodynamics.
Since all other forms of energy may be converted into heat, it is considered to be energy in its lowest form. The availability of heat energy to do work depends on temperature differential.
1.2.7 Heat capacity
It may be defined as the energy that must be added or removed from one kilogram of a substance to change its temperature by one degree Centigrade. In refrigeration technology heat capacity is used to determine how much heat should be removed to refrigerate various products.
1.2.7.1 Sensible heat (Q_{S})
Heat which results in an increase or decrease in the temperature without it changing its phase is called sensible heat. A change in sensible heat is given by the equation when there is a change in temperature
Q_{S} = m× C_{S} (T_{2} – T_{1})
Note: C_{S }is the heat capacity at constant pressure
m = mass of the substance in kg
(T_{2} – T_{1}) = Temperature difference in °C
1.2.7.2 Latent heat (QL)
Latent heat is the heat at which a substance changes its phase without any increase or decrease in the temperature. It is the amount of heat required to change the state of a substance.
Q_{L} = m×C_{w}(w_{2} – w_{1})
Note: C_{w }is the heat capacity of moisture
m = mass of the substance in kg
(w_{2} – w_{1}) = change in moisture content in g/kg
1.2.7.3 Total heat (Q_{T})
Total heat is the sum of sensible heat and latent heat. Heat measurements are taken above a specified datum. These measurements with water are at zero degrees C, since below this temperature water is solid. Refrigerant heat measurements are at –40^{0}C. For example: The sensible heat, latent heat and total heat for steam are shown in Figure 1.2 below.
Q_{T} = Q_{S }+ Q_{L}
Figure 1. 2
Total Heat Chart Of –40^{0}C Ice To Steam at 100 ^{0}C
a-b is sensible heat, b-c is latent heat of fusion, c-d is Sensible heat, d-e is latent heat of vaporization, e-f is super heat.
1.3 Temperature and its measurement
Temperature is a property of matter. It is the measure of intensity of heat contained in matter and its relative value. A substance is said to be hot or cold when its temperature is compared with some other reference temperature. A high temperature indicates a high level of heat intensity or thermal pressure and a body is said to be hot.
Like other forms of energy heat can be measured because it has quantity and intensity. Heat is not visible but manifests itself in its effects on various substances either by changing its state or by creating relative degrees of sensation when in contact with the human body.
Since temperature is a measure of heat content, the temperature can be measured by measuring the effects of heat on different properties of matter as follows;
1.4 Pressure and temperature relationship
Water boils at 100^{0}C when the pressure on it is atmospheric at sea level. If the pressure is increased above the atmospheric pressure, i.e. in a deep mine shaft the boiling point increases and when the pressure is reduced below atmospheric, i.e. on top of a mountain, it reduces.
Boiling water does not necessarily have to be hot because if there is vacuum, water boils at a very low temperature. The same is true when it comes to other liquids, such as various refrigerants. These refrigerants have the same properties as water except their boiling point ranges are lower.
This pressure temperature relationship is used in most air conditioning and refrigeration systems.
1.5 Laws of Thermodynamics
1.5.1 First law of Thermodynamics and Energy Conservation
It is a fundamental principle that matter can neither be created nor destroyed though it may be made to take different forms. Similarly, energy cannot be created or destroyed. It can be converted from one form to another. The first law of thermodynamics states that the total energy in a system always remains constant.
This law is mainly based on observation and can be best studied with the help of observations.
In the following examples, we can see that heat, work, electricity and chemical energy are various forms of energy and they are mutually convertible.
The first law of thermodynamics can be represented by the equation:
E_{1} + Q_{a} – Q_{t} = E_{2}
Where:
E_{1} is the energy possessed by the system initially
E_{2} is the energy possessed by the system after the work is done
Q_{a} is the energy added to the system
Q_{t }is the energy taken away from the system.
1.5.2 Second law of Thermodynamics
The second law of thermodynamics can be stated in a number of ways as:
With a brief discussion on the various thermodynamic principles, let us now study the fundamentals of Heating, Ventilation and Air conditioning in the next chapters.
1.6 Fundamentals of Heat Transfer
1.6.1 Modes of Transferring Heat
Heat is always transferred when a temperature difference exists between two bodies. There are three basic modes of heat transfer:
1.6.2 Heat Flux
The rate at which heat is transferred is represented by the symbol. Common units for heat Q transfer rate is Watts. Sometimes it is important to determine the heat transfer rate per unit area, or heat flux, which has the symbol. Units for heat flux are W/m^{2}. The heat flux can be Q_{hf}determined by dividing the heat transfer rate by the area through which the heat is being transferred.
Q
Q_{hf} = --------
A
Where: Q_{hf} = heat flux (W/m^{2})
Q = heat transfer rate (W)
A = area (m^{2})
1.6.3 Thermal Conductivity
The heat transfer characteristics of a solid material are measured by a property called the thermal conductivity (k) measured in W/m.K. It is a measure of a substance’s ability to transfer heat through a solid by conduction. The thermal conductivity of most liquids and solids varies with temperature. For vapors, it depends upon pressure.
1 W/(m.K) = 1 W/(m.^{o}C) = 0.85984 kcal/(hr.m.^{o}C)
Table: 1.1
Thermal conductivity values for various materials at 300 K
Material |
Thermal conductivity W/m.K |
Copper |
399 |
Gold |
317 |
Aluminum |
237 |
Iron |
80.2 |
Carbon steel |
43 |
Stainless Steel (18/8) |
15.1 |
Glass |
0.81 |
Plastics |
0.2 – 0.3 |
Wood (shredded/cemented) |
0.087 |
Cork |
0.039 |
Water |
0.6 |
Ethylene glycol |
0.26 |
Hydrogen |
0.18 |
Benzene |
0.159 |
Air |
0.026 |
1.6.4 Log Mean Temperature Difference (LMTD)
In heat exchanger applications, the inlet and outlet temperatures are commonly specified based on the fluid in the tubes. The temperature change that takes place across the heat exchanger from the entrance to the exit is not linear. A precise temperature change between two fluids across the heat exchanger is best represented by the log mean temperature difference (LMTD or DTlm).
(DT_{2} - DT_{1})
D T_{LM} = ----------------------------
In (DT_{2} / DT_{1})
Where: DT2 = the larger temperature difference between the two fluid streams at either the entrance or the exit to the heat exchanger
DT1 = the smaller temperature difference between the two fluid streams at either the entrance or the exit to the heat exchanger
1.6.5 Convective Heat Transfer Coefficient
The convective heat transfer coefficient (h_{c}), defines, in part, the heat transfer due to convection. The convective heat transfer coefficient is sometimes referred to as a film coefficient and represents the thermal resistance of a relatively stagnant layer of fluid between a heat transfer surface and the fluid medium. Common units used to measure the convective heat transfer coefficient are (W/m^{2}K).
Table 1.2
Typical order-of magnitude values of convective heat transfer coefficients
Type of fluid and flow |
Convective heat transfer coefficient h_{c,} (W/m^{2 }K) |
Air, free convection |
6 – 30 |
Water, free convection |
20 – 100 |
Air or superheated steam, forced convection |
30 – 300 |
Oil, forced convection |
60 – 1800 |
Water, forced convection |
300 – 18000 |
Synthetic refrigerants, boiling |
500 - 3000 |
Water, boiling |
3000 – 60000 |
Synthetic refrigerants, condensing |
1500 - 5000 |
Steam, condensing |
6000 – 120000 |
1.6.7 Overall Heat Transfer Coefficient
In the case of combined heat transfer, it is common practice to relate the total rate of heat transfer Q the overall cross-sectional area for heat transfer (A_{o}), and the overall temperature difference (DT_{o}) using the overall heat transfer coefficient (U_{o}). The overall heat transfercoefficient combines the heat transfer coefficient of the two heat exchanger fluids and the thermal conductivity of the heat exchanger tubes. U_{o} is specific to the heat exchanger and the fluids that are used in the heat exchanger.
Q = U_{o} A_{o} DT_{o}
Where: Q = The rate of heat transfer (W)
U_{o} = the overall heat transfer coefficient (W/m^{2} ^{o}K)
A_{o} = the overall cross-sectional area for heat transfer (m^{2})
DT_{o} = the overall temperature difference (^{o}K)
1.6.8 Bulk Temperature
The fluid temperature (T_{b}), referred to as the bulk temperature, varies according to the details of the situation. For flow adjacent to a hot or cold surface, T_{b} is the temperature of the fluid that is "far" from the surface, for instance, the center of the flow channel. For boiling or condensation, T_{b} is equal to the saturation temperature.
1.7 Fundamentals of Fluid Flow
Fluid flow is an important part of most industrial processes; especially those involving the transfer of heat. Frequently, when it is desired to remove heat from the point at which it is generated, some type of fluid is involved in the heat transfer process. Examples of this are the cooling water circulated through cooling coils in HVAC, the air flow past the heating and cooling coils, from fans and blowers, duct work, terminal units, packaged air conditioning units etc., Unlike solids, the particles of fluids move through piping and components at different velocities and are often subjected to different accelerations.
The basic principles of fluid flow include three concepts or principles:
1.7.1 Properties of Fluids
A fluid is any substance which flows because its particles are not rigidly attached to one another. This includes liquids, gases and even some materials which are normally considered solids, such as glass. Fluids are materials which have no repeating crystalline structure.
There are several properties, including temperature, pressure, mass, specific volume, density, and Buoyancy.
1.7.2 Pascal’s Law
Pascal's law, or the Principle of transmission of fluid-pressure, states that "pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure ratio (initial difference) remains the same."
where
ΔP is the hydrostatic pressure (given in pascals in the SI system), or the difference in pressure at two points within a fluid column, due to the weight of the fluid;
ρ is the fluid density (in kilograms per cubic meter in the SI system);
g is acceleration due to gravity (normally using the sea level acceleration due to Earth’s gravity in metres per second squared);
Δh is the height of fluid above the point of measurement, or the difference in elevation between the two points within the fluid column (in metres in SI).
1.7.3 Control Volume
In thermodynamics, a control volume was defined as a fixed region in space where one studies the masses and energies crossing the boundaries of the region. This concept of a control volume is also very useful in analyzing fluid flow problems. The boundary of a control volume for fluid flow is usually taken as the physical boundary of the part through which the flow is occurring.
The control volume concept is used in fluid dynamics applications, utilizing the continuity, momentum, and energy principles
1.7.4 Volumetric Flow Rate
The volumetric flow rate V of a system is a measure of the volume of fluid passing a point in the system per unit time. The volumetric flow rate can be calculated as the product of the cross sectional area (A) for flow and the average flow velocity (v).
V = A x v
The area is measured in square meter and velocity in meters per second, results in volumetric flow rate measured in cubic meter per second. Other common units for volumetric flow is liters per minute.
1.7.5 Mass Flow Rate
The mass flow rate (m ) of a system is a measure of the mass of fluid passing a point in the system per unit time. The mass flow rate is related to the volumetric flow rate.
Mass flowrate = Density x Volumetric flowrate
m = r x V
The volumetric flow rate is in m ^{3} /s and the density is kg/m ^{3} results in mass flow rate measured in kilograms per second
1.7.8 Conservation of Mass
In thermodynamics, we know that the energy can neither be created nor destroyed, only changed from one form to another form. The same is true for mass. Conservation of mass is a principle of engineering that states that all mass flow rates into a control volume are equal to all mass flow rates out of the control volume plus the rate of change of mass within the control volume.
Dm
m_{IN} = m_{OUT} + -------
Dt
1.7.9 Steady-State Flow
Steady-state flow refers to the condition where the fluid properties at any single point in the system do not change over time. These fluid properties include temperature, pressure, and velocity. One of the most significant properties that is constant in a steady-state flow system is the system mass flow rate. This means that there is no accumulation of mass within any component in the system.
1.7.10 Continuity Equation
The continuity equation is simply a mathematical expression of the principle of conservation of mass. For a control volume that has a single inlet and a single outlet, the principle of conservation of mass states that, for steady-state flow, the mass flow rate into the volume must equal the mass flow rate out. The continuity equation for this situation is expressed by the following equation:
m_{IN} = m_{OUT}
r x A x v (inlet) = r x A x v (Outlet)
1.7.11 Head Loss
Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Head loss is unavoidable in real fluids. It is present because of: the friction between the fluid and the walls of the pipe; the friction between adjacent fluid particles as they move relative to one another; and the turbulence caused whenever the flow is redirected or affected in any way by such components as piping entrances and exits, pumps, valves, flow reducers, and fittings.
1.7.12 Frictional Loss
Frictional loss is that part of the total head loss that occurs as the fluid flows through straight pipes. The head loss for fluid flow is directly proportional to the length of pipe, the square of the fluid velocity, and a term accounting for fluid friction called the friction factor. The head loss is inversely proportional to the diameter of the pipe.
Lv^{2}
Heat loss µ f -------------
D
1.7.13 Frictional Factor
The friction factor has been determined to depend on the Reynolds number for the flow and the degree of roughness of the pipe’s inner surface. The quantity used to measure the roughness of the pipe is called the relative roughness, which equals the average height of surface irregularities “Î”divided by the pipe diameter “D”
Î
Relative Roughness = ----------------
D
The value of the friction factor is usually obtained from the Moody Chart.
1.7.14 Darcy’s Equation
The frictional head loss can be calculated using a mathematical relationship that is known as Darcy’s equation for head loss. The equation takes two distinct forms. The first form of Darcy’s equation determines the losses in the system associated with the length of the pipe.
L v^{2}
H_{f } = f ----- x ------
D 2g
Where: f = friction factor (unitless)
L = length of pipe (meters)
D = diameter of pipe (meters)
v = fluid velocity (m/sec)
g = gravitational acceleration (m/sec^{2})
1.7.15 Minor Losses
The losses that occur in pipelines due to bends, elbows, joints, valves, etc. are sometimes called minor losses. This is a misnomer because in many cases these losses are more important than the losses due to pipe friction, considered in the preceding section. For all minor losses in turbulent flow, the head loss varies as the square of the velocity. Thus a convenient method of expressing the minor losses in flow is by means of a loss coefficient (k). Values of the loss coefficient (k) for typical situations and fittings is found in standard handbooks. The form of Darcy’s equation used to calculate minor losses of individual fluid system components is expressed by Equation:
v^{2}
H_{f } = k ------------
2g
1.7.16 Equivalent Piping Length
Minor losses may be expressed in terms of the equivalent length (L_{eq}) of pipe that would have the same head loss for the same discharge flow rate. This relationship can be found by setting the two forms of Darcy’s equation equal to each other.
L v^{2} v^{2}
H_{f } = f ----- x ------ = k -------------
D 2g 2g
This yields two relationships that are useful.
D L_{eq}
L_{eq} = k --------- and k = f --------------
f D
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