Water
Water is the ideal energy transportation medium with a high specific heat and high density. It is also inexpensive, nontoxic, and readily available. The freezing point can be easily reached at the chiller so pipes can freeze. We add ethylene glycol to lower the freezing point of water.
Water Systems
Different Water Loops
· From a chiller condenser to a cooling tower
· From a chiller evaporator to AHU cooling/dehumidifying coils
· From a boiler to AHU heating coils
· From a boiler to hot water baseboard-heating elements
Consists of :
· Straight pipes
· Horizontal runs
· Vertical risers
· Fittings/transitions/flow control devices
· Bends: different fittings to move the water around turns.
· Elbows
· Inlets
· Branches
· Valves
· Strainer
· Expansion tank
· Pumps: provide power to circulate fluids
Significant Pressure Losses are incurred
Major objective for hydronic system design: balance the piping system pressure drop and the pump pressure rise. (energy loss and pressure loss as water moves through pipes)
Fluid Flow Basics
Energy balance for adiabatic, steady flow of a fluid in a pipe or conduit (per mass unit)
Potential Energy – Comes with Elevation Change
Work – typically put in with use of a pump
Friction Loss- Losses in energy from traveling through the piping system
P= static pressure (psf, Pa)
ρ= mass density at a cross-section (lbm/ft^3, kg/m^3)
V= average velocity at cross-section (ft/s, m/s)
g= local gravity acceleration (32.17 ft/s^2, 9.81 m/s^2)
gc= constant(1 kg-m/N-s^2 = 32.17 lbm-ft/lbf-s^2)
h= elevation (ft, m)
w= work (ft-lbf/lbm, J/kg) -> What you design pump for
lf= head loss (ft or m)
Bernoulli’s in terms of head loss.
For straight Pipe (no branches)
For incompressible Fluid
Total Pressure = Static pressure + Velocity Pressure
Friction Losses in Straight Pipes
f= Moody friction factor (pg 302 of textbook Figure 10-1)
L= Length of Pipe (ft,m)
D= inside diameter of the pipe or duct (ft,m) (Table C-1 or C-2 back of HVAC book)
(C-2 ft^2 column should be in^2)
g= local gravity acceleration
V= average velocity (ft/s, m/s)
Friction Factors for Pipe Flow (Method 1)
Use Figure 10-1
Need relative roughness e/D
Need Reynolds Number=
D= inside diameter of pipe
µ= dynamic viscosity (lbm/ft-s or N-s/m^2 or Pa-s)
ν= kinematic viscosity (ft^2/s or m^2/s)
Reynolds Number
Used to determine status of flow
Re<2300 Laminar flow (turning faucet barely on and water stream is clear and slow)
2300<Re<4000 Transient flow
Re> 4000 Turbulent flow (when the water comes out fast and water stream is not clear)
Dynamic Viscosity
Figure 10-2b for aqueous ethylene glycol solutions
Centipoise (cp): 1cp-.1 Pa-s or 6.719E-4 lbm/ft-s
Friction Factors for Pipe Flow
Turbulent Flow:
Table 10-1 for e
For any turbulent flow, the friction factor is the same because horizontal line.
Colebrook’s natural roughness function
Good because it allows you to solve without using the chart.
)
From figure 10-21 (copper) or 10-20 (steel)
Friction loss per 100ft
Pipe Fittings & Valves
Dynamic loss in fittings caused by
· Changes in flow direction
· Changes in velocity
· Flow around obstructions
Loss Coefficient
Resistance Coefficient Tables
Table 10-2 Figure 10-22a
Take K in 10-22a and multiply by ft in 10-2
Equivalent Length Method
Figure 10-22b (only for schedule 40 steel)
Get Leq from 10-22b then use 10-20 to get head loss
Method 1 vs Method 2
Sometimes results not equal
Empirical methods derived under different conditions
Method 1 is simplified linear approximation
Happens a lot in real world.
Explain what method we chose and research.
Flow Coefficient Method
Cv
The Volumetric flow rate (Cv=Qstd) passing through the fitting required to produce a standard head loss (lf,std)
lf,std,IP=2.31 ft water, ΔPstd,IP= 1 (lbf/in^2)
lf,std,SI=.102 m water, ΔPstd,SI= 1 kPa
Pumps
Purpose: overcome pressure losses to circulate water through piping system
Convert electrical energy to mechanical energy to total pressure rise. Electric motor, rotationg impeller, pump casing.
Axial: right before increase in elevation. Lower pressure head, higher flow rate
Radial: higher pressure head, lower flow rate
Pump Characteristics
Total dynamic Head (Hp) provide the pressure head needed for the fluid flow from one point to another
Efficiency: ratio of useful work to the fluid from the shaft
Pump Characteristic Curves
Usually pumps are designed for flow and pressure
Head curve: feet for head of a given flow rate
BEP- Best Efficiency Point: The flow at which point the pump operates at the highest or optimum efficiency for a given impeller diameter
Efficiency by flow rate
Brake Horsepower: power required from the motor to drive the pump at a given head to deliver the volumetric flow rate.
Cavitation & Net Positive Suction Head (NPSH)
Fluid static pressure<liquid vapor pressure= vapor bubbles and cavitation occurs damaging pump
NPSHA>NPSHR to avoid cavitation (NPSHR given by manufacturer)
System Curve
System curve gets steeper if you add a tightening valve.
Operating conditions where pump and system curve cross
Series Circuits
Tightening a valve is like adding resistance
Q is like the current if you double resistance the system curve changes
Ha+b=Ha+Hb
Parallel Circuits
Qa+Qb=Qt at Ht
Balance pressure drops
Pumps in Parallel
Qp=Qp,1+Qp,2
If you add a second identical pump in parallel flow rate will not double because the pump curve is not linear.
Pump in Series
Hp=Hp,1+Hp,2
Flow rate at pump 1 and 2 is the same system flow rate will differ.
Open Loop System
P=Patm
Return pressure could be lower
Discharge pressure typically higher
Applications:
· Cooling Towers
· Water collet s in drain pan or sump
· Water loss by evaporation
· Pump should be placed below the sump elevation to avoid cavitation
Closed loop system
Entire system usually greater than Patm
Requires expansion tank for thermal expansion of H2O
Pipe Sizing Guideline
<2” diameter V<4ft/s, 1.2m/s
>2” diameter lf<4ft/100ft ,.4kPa/m
If noise is not an issue and pipes are relatively short guidelines can be relaxed.
Expansions Tank
Keep air from leaking into the system
Ensure enough NPSHA
Accommodate thermal expansion of water
Types of Expansion Tanks
Open tank: exposed to air
Close tank/ direct air water interface: closed to outside air, but air can mix with water
Diaphragm Tank: no mixing of air and water
Duct System Components
· Straight duct
· Fittings or transitions
Fan
Fan increases pressure
Helps maintain static and velocity pressure
Fan Performance
Total Pressure Rise
Static Pressure Rise
Power consumption
Total Efficiency
Static Efficiency
Fan Curve
If You select left or curve could have surge issues.
Surge
Happens when fan approaches blocked tight static pressure (BTSP) point
Fan deviates from balance point and is unable to return to the original point due to overshooting causing air surge back and forth through fan
Causes noise and vibration
Fan laws
Only work in a given duct system. Changes to system make them unusable.
Fans In Series
Same flow
Add pressures
Fan in Parallel
Same Pressure
Add flows
Possible instability problem
Unstable conditions cause fluctuating load and fan overload
Centrifugal Fans
Can handle higher pressures than axial fans often used in AHUs
Axial Fans
More Compact
Move large flow rates
Handles smaller static Pressure
Duct Friction Loss Method
Figure 12-21 Only applies to round duct
Try to size at whole values for availability reasons
Non-round Ducts
Convert using the equivalent diameter
Loss Coefficient Method
ΔP=C*Pv
Short Cut Equations for Velocity Pressure
IP:
SI:
Equal Friction Method
Use an approximately uniform pressure loss to size all ducts
If possible stay within the dashed lines on friction loss chart because it has a good balance of operating/initial costs
Works best with symmetrical systems
Good for VAV system
Static Regain Method
For high flow rate systems with limited space
Equal friction method would result in abnormal high/low static pressures
Reduce velocity along duct
If flow rates do not change duct size should increase to reduce velocity
High velocity method
Move large amounts of air
Capacity Control Dampers
Change system characteristics by adding resistance
Modulate system characteristics based on the directions of the blades.
Simplest Method
Issues with surge noise and low efficiency
Capacity Control Inlet Vanes
Constant fan speed
Reduces air handling capacity, static pressure rise, hp consumption
Controlled by pressure sensor
Better efficiency than discharge dampers
Pressure sensor allows speed to be changed to more efficiently meet requirements
VAV System Operation
Originally balanced at point 1
Room load reduces or room temp drops cause damper to start to close
Static pressure sensor
Fan reduce te speed and shift the fan curve down to make point 2
Airflow rate drop room temp increase cause damper to open
System operates at point 3
Vapor Compression Refrigeration/Carnot Cycle
1-2 Compressor Work goes in Pressure increases Entropy is constant
2-3 Condensor rejects heat from system enthalpy decreases temperature and pressure remains constant
3-4 Turbine/Expansion Valve decrease pressure Enthalpy remains constant
4-1 Evaporator Enthalpy increases temperature and pressure remains constant
Carnot cycle not actually realistic. Heat transfer requires temperature difference
Compressor cannot handle a gas-liquid mixture will cause cavitation
Theoretical Single-stage Vapor-compression Cycle
One compressor
· Saturated vapor
· Isentropic compression process
No work is recovered
Work is degraded into heat
Irreversible process
Constant pressure heat rejection and heat absorption processes
Saturated liquid at the exit of the condenser
Refrigeration effect
Specific Work input
Power Consumption
Heat rejected
Actual Single-Stage Refrigeration Cycle
Superheat refrigerant at inlet of the compressor
· Sufficient superheat to guarantee compressor safety at various operation conditions
· Liquid slugging (cavitation to pump) can be prevented
Sub-cool refrigerant at the outlet of condenser
· Refrigerant mass flow rate
· Operation of expansion device increase refrigerating effect
Heat loss is compression
· Negligible for dx units
· Significant for chillers
Pressure Drop across heat exchangers
· Is negligible for energy analysis