Voltage and Frequency Effects on Motor Performance
This is the table that explained why the practitioner's building motors were failing. When the voltage drops or rises from nominal, everything changes:
Effect of Voltage Variation:
| Characteristic | Voltage +10% | Voltage -10% |
|---|---|---|
| Starting Torque | Up 21% | Down 19% |
| Maximum Torque | Up 21% | Down 19% |
| Slip | Down 15-20% | Up 20-30% |
| Efficiency (Full Load) | Down 0-3% | Down 0-2% |
| Power Factor (Full Load) | Down 5-15% | Up 1-7% |
| Full Load Current | Down slightly to Up 5% | Up 5-10% |
| Starting Current | Up 10% | Down 10% |
| Temperature Rise (Full Load) | Up 10% | Down 10-15% |
| Maximum Overload Capacity | Up 21% | Down 19% |
At the practitioner's building, the 9% voltage drop meant: 19% less starting torque, 19% less breakdown torque, 20-30% more slip, 5-10% higher current draw, and hotter operation. The motors were working harder, drawing more current, and overheating — all because the voltage was low.
The fix: the practitioner specified that the electrical contractor install properly sized conductors (reducing voltage drop to under 3%) and adjust the transformer taps.
Belt Drives — The Transmission System
Most fan drive systems use standard V-belts. The belt drive allows fan RPM to be easily selected through motor RPM and pulley ratios.
Drive Ratio Formula:
Drive Ratio = Motor RPM / Desired Fan RPM
V-Belt Length Formula:
L = 2C + 1.57(D + d) + (D - d)² / 4C
Where:
L = Pitch length of belt
C = Center distance between sheaves
D = Pitch diameter of large sheave
d = Pitch diameter of small sheave
Belt Drive Guidelines:
- Always install drives with provision for center distance adjustment
- Centers should not exceed 3× the sum of sheave diameters nor be less than the diameter of the large sheave
- Arc of contact on smaller sheave should not be less than 120°
- Shafts must be parallel; sheaves must be aligned. Recheck after first 8 hours.
- Never force or roll belts over sheaves — more belts are broken this way than from service failure
- Ideal tension is the lowest tension at which the belt won't slip under peak load. Check frequently during first 24-48 hours.
Estimated Belt Drive Losses:
| Motor Output (HP) | Drive Loss Range |
|---|---|
| 1 | 8-15% |
| 5 | 5-8% |
| 10 | 4-6% |
| 25 | 3-5% |
| 50 | 2.5-4% |
| 100+ | 2-3% |
Higher belt speeds tend to have higher losses at the same horsepower.
Bearing Life — The L-10 and L-50 Ratings
Bearing life is defined as the number of operating hours at a given load and speed before the first signs of failure appear.
L-10 Life = The minimum hours during which at least 90% of bearings can be expected to survive. In other words, less than 10% are expected to fail within this period.
L-50 Life (Average Life) = 5 × L-10 Life. At least 50% of bearings expected to survive this long.
Example: A fan specified with L-10 in excess of 40,000 hours at maximum cataloged speed means:
- 90% of bearings will last at least 40,000 hours
- Average life (L-50) exceeds 200,000 hours
- Less than 10% failure expected within 40,000 hours
System Design Guidelines — Where Engineering Meets Art
The Restaurant Smell Problem
By month two of the investigation, the practitioner and the practitioner had fixed the fan performance issues and the motor failures. But a new complaint emerged — or rather, an old one got louder.
The office tenants on floor 6 could smell the ground-floor restaurant. Every time the kitchen exhaust cycled, the aroma of fried food and grilled meat drifted upward through the building.
"How is that possible?" the practitioner asked. "The kitchen exhaust is on the roof, and the office fresh air intake is on the opposite side of the building."
the practitioner walked to the roof and stood between the two openings. The wind was blowing from the south. The kitchen exhaust was on the south side. The fresh air intake was on the north side.
"What happens when the wind reverses?" the practitioner asked.
the practitioner's face went pale. He'd never checked prevailing wind patterns.
General Ventilation Design Principles
These are the foundational rules. Break any of them, and you'll spend years fixing the consequences:
- Locate intake and exhaust fans to make use of prevailing winds — not against them
- Position fans for maximum sweeping effect over the working area
- If filters are used on gravity intake, size the intake ventilator to keep intake losses below 1/8" SP (31 Pa)
- Avoid fans blowing directly opposite each other. When unavoidable, separate by at least 6 fan diameters
- Use Class B insulated motors where ambient temperatures will be high
- For hazardous chemicals or particles in the air stream, use explosion-proof motors
- For hazardous atmospheres, use fans of non-sparking construction
Process Ventilation Principles
- Collect fumes and heat as near the source as possible
- Make duct runs as short and direct as possible
- Keep duct velocity as low as practical while maintaining capture velocity for particles
- Use long-radius elbows (preferably 2 duct diameters radius) for turns
- Select fans with reserve capacity beyond calculated static pressure
- Install exhaust fans where discharged air cannot recirculate into other building areas
- Hoods must be sufficient to collect ALL contaminating fumes or particles
Kitchen Ventilation — The Complete Guide
The restaurant in the practitioner's building was a case study in what happens when kitchen ventilation isn't designed with precision.
Hoods and Ducts:
- Duct velocity: 1,500 to 4,000 fpm (7.6 to 20.3 m/s)
- Hood face velocity: not less than 50 fpm (0.25 m/s) over face area between hood and cooking surface
- Wall type hoods: 80 CFM per square foot of hood face area
- Island type hoods: 125 CFM per square foot of hood face area
- Extend hood beyond cooking surface by: 0.4 × distance between hood and cooking surface
Filters:
- Select filter face velocity: 100 – 400 fpm (0.5 – 2.0 m/s)
- Typical sizing: 2 CFM exhaust per square inch of filter area (maximum)
- Install at 45° to 60° to horizontal — NEVER horizontal
- Shield filters from direct radiant heat
- Mounting height minimums:
- No exposed cooking flame: 1.5 feet (0.46 m) minimum
- Charcoal and similar fires: 4 feet (1.2 m) minimum
- Provide removable grease drip pan
- Establish AND FOLLOW a cleaning schedule for drip pans and filters
Fans:
- Use upblast discharge fan for kitchen exhaust
- Select design CFM based on hood design and duct velocity
- Select SP based on design CFM and resistance of filters and duct system
- Adjust fan specification for expected exhaust air temperature
Sound — The Silent Killer of Good HVAC Design
the practitioner learned that a perfectly functioning HVAC system that's too loud is still a failed HVAC system. The luxury apartments on the practitioner's upper floors had noise complaints within the first week.
Key Sound Definitions:
Sound Power (W): The amount of power a source converts to sound, measured in watts. This is a property of the source itself.
Sound Power Level (Lw): A logarithmic comparison to a reference source.
Lw = 10 × log₁₀(W / W₀) dB
Where W₀ = 10⁻¹² watt (reference)
Sound Pressure (P): The pressure fluctuation associated with sound. This is what your ear actually detects.
Sound Pressure Level (Lp): A logarithmic comparison to a reference pressure.
Lp = 20 × log₁₀(P / P₀) dB
Where P₀ = 2 × 10⁻⁵ Pa (reference)
CRITICAL DISTINCTION: Even though both are expressed in dB, THERE IS NO DIRECT CONVERSION between sound power level and sound pressure level. A constant sound power output will produce dramatically different sound pressures in different environments. Always specify HVAC equipment in terms of sound power level, not sound pressure level.
Sound Rules of Thumb:
| Rule | Effect |
|---|---|
| Double the sound pressure from a single source | +3 dB (sound pressure level) |
| Double the distance from the source | -6 dB (sound pressure level) |
| +10 dB (sound pressure level) | 2× perceived loudness |
Adding Two Sound Sources (Approximation):
| Difference Between Levels (dB) | Add to Highest Level (dB) |
|---|---|
| 0 | 3.0 |
| 1 | 2.5 |
| 2 | 2.1 |
| 3 | 1.8 |
| 4 | 1.5 |
| 5 | 1.2 |
| 6 | 1.0 |
| 7 | 0.8 |
| 8 | 0.6 |
| 9 | 0.5 |
| 10+ | 0 |
Remember: logarithms cannot be added directly. Two identical 70 dB sources produce 73 dB, not 140 dB.
Sound Power Levels in Context:
| Source | Sound Power (Watts) | Sound Power Level (dB) |
|---|---|---|
| Shuttle booster rocket | 25,000,000–40,000,000 | 195 |
| Jet engine with afterburner | 100,000 | 170 |
| Jet aircraft at takeoff | 10,000 | 160 |
| Loud rock band | 10 | 130 |
| Small aircraft engine | 1 | 120 |
| Car at highway speed | 0.01 | 100 |
| Axial ventilating fan (2,500 m³/h) | 0.001 | 90 |
| Voice — conversational level | 0.00001 | 70 |
| Office air diffuser | 0.0000001 | 50 |
| Voice — very soft whisper | 0.000000001 | 30 |
Design Criteria for Room Loudness (Sones)
This table is your go-to reference for what noise levels are acceptable in different spaces:
| Room Type | Sones | Room Type | Sones |
|---|---|---|---|
| Concert/opera halls | 1.0 – 3.0 | Executive offices | 2 – 6 |
| Movie theaters | 2.0 – 6.0 | General open offices | 4 – 12 |
| Lecture halls | 2.0 – 6.0 | Conference rooms | 1.7 – 5 |
| Courtrooms | 3.0 – 9.0 | Board of Directors | 1 – 3 |
| Churches/sanctuaries | 1.7 – 5.0 | Private hospital rooms | 1.7 – 5 |
| Schools/classrooms | 2.5 – 8.0 | Hospital operating rooms | 2.5 – 8 |
| Libraries | 2.0 – 6.0 | Hotel individual rooms | 2.0 – 6 |
| Laboratories | 4.0 – 12.0 | Restaurant dining areas | 4 – 12 |
| Gymnasiums | 4 – 12 | Retail department stores | 6 – 18 |
| Swimming pools | 7 – 21 | Light machinery (mfg) | 12 – 36 |
| Residences (urban) | 3 – 9 | Heavy machinery (mfg) | 25 – 60 |
| Residences (rural/suburban) | 1.3 – 4 | Studios for sound reproduction | 1 – 3 |
Note: These values are room loudness in sones — they are NOT fan sone ratings. The fan rating you need will be different because of the acoustic environment between the fan and the occupied space.
Room Sones to dBA Correlation:
dBA = 33.2 × log₁₀(sones) + 28 Accuracy: ± 2 dBA
Vibration — The Problem You Feel Before You Hear
Natural Frequency Formula:
fn = 188 × (1/d)^0.5 (cycles per minute)
Static Deflection from Natural Frequency:
d = (188/fn)² (inches)
Vibration Isolation Selection Guide:
| Equipment RPM | Critical Installation (upper floor/roof) | Non-Critical Installation (grade/basement) |
|---|---|---|
| 1,200+ | 1.0 inch | 0.5 inch |
| 600+ | 1.0 inch | 1.0 inch |
| 400+ | 2.0 inch | 1.0 inch |
| 300+ | 3.0 inch | 2.0 inch |
Always use total weight of equipment when selecting isolation. Always consider weight distribution in the selection.
Vibration Severity Ranges:
| Severity | Description |
|---|---|
| Extremely Smooth | New, precision equipment |
| Very Smooth | Excellent condition |
| Smooth | Normal for new equipment |
| Good | Normal, well-maintained equipment |
| Fair | Acceptable for most installations |
| Slightly Rough | Approaching maintenance threshold |
| Rough | Corrective action recommended |
| Very Rough | Immediate action required |
Important factors when using vibration severity charts:
- Use only filtered displacement readings for specific frequencies. Unfiltered overall velocity readings can be applied directly.
- Charts apply to measurements on bearings or machine structure only — NOT shaft vibration.
- Charts apply to rigidly mounted machines. For machines on resilient isolators (springs, rubber pads), allow approximately twice the vibration amplitude — except at high frequencies (gears, defective rolling-element bearings), where amplitudes are less dependent on mounting method.
General Ventilation Design — Breathing Life Into Buildings
The Indoor Air Quality Crisis on Floor 6
Once the prevailing wind issue was addressed by relocating the fresh air intake, a subtler problem remained. The office tenants on floor 6 were still complaining — not about food smells, but about stuffiness, headaches, and fatigue by mid-afternoon.
the practitioner pulled the building automation system logs and found the answer: the outdoor air dampers were modulating to minimum position by early afternoon to save energy on cooling. The occupied space was getting only about 5 CFM per person instead of the required 20 CFM per person for office spaces.
"You can't save energy by suffocating your tenants," the practitioner told the practitioner. "Indoor air quality isn't optional — it's a code requirement and a health imperative."
Three Methods for Calculating Ventilation Rates
Method 1: Air Quality Method (Preferred for Occupied Spaces)
Designing for acceptable indoor air quality requires addressing:
- Outdoor air quality
- Ventilation system design
- Sources of contaminants
- Proper air filtration
- System operation and maintenance
Calculation:
People = (Occupancy per 1,000 ft²) × Floor Area (ft²) / 1,000
CFM = People × Outdoor Air Requirement (CFM/person)
Outdoor air quantities can be reduced if proper particulate AND gaseous air filtration is utilized.
Method 2: Air Change Method (Industrial/Special Spaces)
CFM = Building Volume (ft³) / Air Change Frequency (minutes)
Method 3: Heat Removal Method (Temperature-Driven)
When the space temperature exceeds outdoor ambient, general ventilation provides "free cooling":
CFM = Heat Removal (BTU/hr) / (1.10 × Temperature Difference °F)
Ventilation Rates for Acceptable Indoor Air Quality
This table is your code-minimum reference. These are outdoor air requirements per person:
| Space | Outdoor Air Required (CFM/person) | Typical Occupancy (People/1,000 ft²) |
|---|---|---|
| Auditoriums | 15 | 150 |
| Ballrooms/Discos | 25 | 100 |
| Bars | 30 | 100 |
| Beauty Shops | 25 | 25 |
| Classrooms | 15 | 50 |
| Conference Rooms | 20 | 50 |
| Correctional Facility Cells | 20 | 20 |
| Dormitory Sleeping Rooms | 15 | 20 |
| Dry Cleaners | 30 | 30 |
| Gambling Casinos | 30 | 120 |
| Game Rooms | 25 | 70 |
| Hardware Stores | 15 | 8 |
| Hospital Operating Rooms | 30 | 20 |
| Hospital Patient Rooms | 25 | 10 |
| Laboratories | 20 | 30 |
| Libraries | 15 | 20 |
| Medical Procedure Rooms | 15 | 20 |
| Office Spaces | 20 | 7 |
| Pharmacies | 15 | 20 |
| Photo Studios | 15 | 10 |
| Physical Therapy | 15 | 20 |
| Restaurant Dining Areas | 20 | 70 |
| Retail Facilities | 15 | 20 |
| Smoking Lounges | 60 | 70 |
| Sporting Spectator Areas | 15 | 150 |
| Supermarkets | 15 | 8 |
| Theaters | 15 | 150 |
Design Alert: Note that smoking lounges require 60 CFM/person — four times the rate of a typical office. If your building has any designated smoking areas, they will dominate your outdoor air calculations and likely need dedicated exhaust systems.
Suggested Air Changes in the supplied reference local codes don't specify, use these air change frequencies
| Type of Space | Air Change Frequency (minutes) |
|---|---|
| Assembly Halls | 3 – 10 |
| Auditoriums | 4 – 15 |
| Bakeries | 1 – 3 |
| Boiler Rooms | 2 – 4 |
| Bowling Alleys | 2 – 8 |
| Dry Cleaners | 1 – 5 |
| Engine Rooms | 1 – 1.5 |
| Factories (General) | 1 – 5 |
| Forges | 1 – 2 |
| Foundries | 1 – 4 |
| Garages | 2 – 10 |
| Glass Plants | 1 – 2 |
| Gymnasiums | 2 – 10 |
| Heat Treat Rooms | 0.5 – 1 |
| Kitchens | 1 – 3 |
| Laundries | 2 – 5 |
| Machine Shops | 3 – 5 |
| Mills (Paper) | 2 – 3 |
| Residences | 2 – 5 |
| Restaurants | 5 – 10 |
| Retail Stores | 3 – 10 |
| Theaters | 3 – 8 |
| Toilets | 2 – 5 |
| Transformer Rooms | 1 – 5 |
| Warehouses | 2 – 10 |
Heat Gain From Occupants — Your Cooling Load Contribution
Every person in a building is a heat source. The amount of heat depends on activity level:
| Typical Application | Sensible Heat (BTU/hr) | Latent Heat (BTU/hr) |
|---|---|---|
| Theater (matinee) | 200 | 130 |
| Theater (evening) | 215 | 135 |
| Offices, Hotels, Apartments | 215 | 185 |
| Retail and Department Stores | 220 | 230 |
| Drug Store / Bank | 220 | 280 |
| Restaurant | 240 | 310 |
| Factory (light work) | 240 | 510 |
| Dance Hall | 270 | 580 |
| Factory (moderate work) | 330 | 670 |
| Bowling Alley / Factory (heavy) | 510 | 940 |
Notes: Values based on 26°C (78°F) dry bulb. Restaurant values include 60 BTU/hr for food per individual (30 sensible + 30 latent). Use sensible values only for ventilation heat removal calculations.
Heat Gain From Electric Motors
Every motor in your building contributes heat. The critical question is: where is the motor, and where is the driven equipment?
| Motor HP | Motor Type | Full Load Efficiency (%) | Motor In, Equipment In Space (BTU/hr) | Motor Out, Equipment In Space (BTU/hr) | Motor In, Equipment Out of Space (BTU/hr) |
|---|---|---|---|---|---|
| 0.25 | Split Ph. | 54 | 1,180 | 640 | 540 |
| 0.50 | Split Ph. | 60 | 2,120 | 1,270 | 850 |
| 1 | 3-Ph. | 75 | 3,390 | 2,550 | 850 |
| 5 | 3-Ph. | 82 | 15,500 | 12,700 | 2,790 |
| 10 | 3-Ph. | 85 | 29,900 | 24,500 | 4,490 |
| 25 | 3-Ph. | 88 | 72,300 | 63,600 | 8,680 |
| 50 | 3-Ph. | 89 | 143,000 | 127,000 | 15,700 |
| 100 | 3-Ph. | 90 | 283,000 | 255,000 | 28,300 |
| 200 | 3-Ph. | 91 | 569,000 | 509,000 | 50,300 |
| 250 | 3-Ph. | 91 | 699,000 | 636,000 | 62,900 |
Filter Comparison — Choosing the Right Level of Filtration
| Filter Type | ASHRAE Arrestance | Atm. Dust Spot Efficiency | Initial ΔP (in.WG) | Final ΔP (in.WG) |
|---|---|---|---|---|
| Permanent | 60-80% | 8-12% | 0.07 | 0.5 |
| Fiberglass Pad | 70-85% | 15-20% | 0.17 | 0.5 |
| Polyester Pad | 82-90% | 15-20% | 0.20 | 0.5 |
| 2" Throw Away | 70-85% | 15-20% | 0.17 | 0.5 |
| 2" Pleated Media | 88-92% | 25-30% | 0.25 | 0.5-0.8 |
| 60% Cartridge | 97% | 60-65% | 0.3 | 1.0 |
| 80% Cartridge | 98% | 80-85% | 0.4 | 1.0 |
| 90% Cartridge | 99% | 90-95% | 0.5 | 1.0 |
| HEPA | 100% | 99.97% | 1.0 | 2.0 |
Optimum Relative Humidity for Health
The sweet spot for indoor relative humidity is 30% to 50% RH. Below 30%, you get:
- Increased bacteria survival
- Increased virus survival
- Increased respiratory infections
- Increased chemical interactions
- Increased ozone production
Above 50%, you get:
- Increased fungi growth
- Increased dust mite populations
- Increased allergic rhinitis and asthma triggers
The optimal zone minimizes ALL of these health risks simultaneously.
Duct Design — The Arteries of Airflow
The Mysterious Whistling on the Ground Floor
the practitioner's retail tenant had described a "whistling sound" every time the wind blew from the south. the practitioner initially dismissed it as the building "breathing" — a common but harmless phenomenon in tall structures.
the practitioner investigated by standing at the south-facing intake louver during a windy day. The whistling wasn't coming from the building structure. It was coming from a bird screen that had been installed behind the louver. The screen mesh was too fine — insect screen grade instead of the specified 1/2-inch mesh bird screen — and it was creating an audible pressure drop at high face velocities.
"Someone substituted materials during construction," the practitioner noted. "An insect screen at 500 fpm face velocity creates ten times the pressure drop of a proper bird screen."
Damper Pressure Drop
Damper pressure drop is a function of face velocity. The formula:
V (Velocity, fpm) = CFM / Square Feet of Damper Area
| Damper Face Velocity (fpm) | Approximate Pressure Drop (in. w.g.) |
|---|---|
| 200 | 0.01 |
| 500 | 0.04 |
| 1,000 | 0.10 |
| 2,000 | 0.35 |
| 3,000 | 0.70 |
| 5,000 | 1.50 |
Screen Pressure Drop
The difference between insect screen and bird screen is dramatic:
| Face Velocity (fpm) | Insect Screen Pressure Drop (in.WG) | 1/2" Bird Screen Pressure Drop (in.WG) |
|---|---|---|
| 200 | 0.02 | 0.003 |
| 500 | 0.08 | 0.01 |
| 1,000 | 0.25 | 0.03 |
| 2,000 | 0.70 | 0.09 |
| 5,000 | 1.50+ | 0.35 |
the practitioner's Note: "After this experience, I now explicitly specify screen mesh size on every drawing and include it as a construction submittal requirement. A 'minor' material substitution nearly cost us a tenant."
Typical Design Velocities for HVAC Components
| Component | Velocity (FPM) |
|---|---|
| Intake Louvers (≥7,000 CFM) | 400 |
| Exhaust Louvers (≥5,000 CFM) | 500 |
| Viscous Impingement Filters | 200 – 800 |
| Dry-Type Pleated (Low Efficiency) | 350 |
| Dry-Type Pleated (Medium Efficiency) | 500 |
| Dry-Type Pleated (High Efficiency) | 500 |
| HEPA Filters | 250 |
| Electronic Air Cleaners (Ionizing) | 300 – 500 |
| Steam and Hot Water Coils | 500 – 600 (200 min, 1,500 max) |
| Dehumidifying Coils | 500 – 600 |
| Spray-Type Air Washers | 300 – 600 |
| High-Velocity Spray Air Washers | 1,200 – 1,800 |
Velocity and Velocity Pressure Relationships
The fundamental relationship:
Velocity Pressure (in. WG) = (V / 4,005)²
Velocity (fpm) = 4,005 × √(Velocity Pressure)
Quick Reference Table (Selected Values):
| Velocity (fpm) | Velocity Pressure (in.WG) |
|---|---|
| 500 | 0.016 |
| 1,000 | 0.062 |
| 1,500 | 0.140 |
| 2,000 | 0.249 |
| 2,500 | 0.390 |
| 3,000 | 0.561 |
| 3,500 | 0.764 |
| 4,000 | 0.998 |
| 4,500 | 1.262 |
| 5,000 | 1.559 |
| 6,000 | 2.244 |
Rectangular Equivalent of Round Ducts
When you need to convert between round and rectangular ductwork:
d = 1.265 × [(a × b)³ / (a + b)]^(1/5)
Where:
d = equivalent round duct diameter
a = one side of rectangular duct
b = other side of rectangular duct
Sheet Metal Gauges — Know Your Material
Steel and Galvanized:
| Gauge | Steel Thickness (in.) | Steel Weight (lb/ft²) | Galvanized Thickness (in.) | Galvanized Weight (lb/ft²) |
|---|---|---|---|---|
| 26 | .0179 | .750 | .0217 | .906 |
| 24 | .0239 | 1.00 | .0276 | 1.156 |
| 22 | .0299 | 1.25 | .0336 | 1.406 |
| 20 | .0359 | 1.50 | .0396 | 1.656 |
| 18 | .0478 | 2.00 | .0516 | 2.156 |
| 16 | .0598 | 2.50 | .0635 | 2.656 |
| 14 | .0747 | 3.125 | .0785 | 3.281 |
| 12 | .1046 | 4.375 | .1084 | 4.531 |
Recommended Metal Gauges for Duct
Rectangular Duct:
| Greatest Dimension | U.S. Gauge (Steel) | B&S Gauge (Aluminum) |
|---|---|---|
| Up to 30 inches | 24 | 22 |
| 31 – 60 inches | 22 | 20 |
| 61 – 90 inches | 20 | 18 |
| 91+ inches | 18 | 16 |
Round Duct:
| Diameter | Galvanized Steel (U.S. Gauge) | Aluminum (B&S Gauge) |
|---|---|---|
| Up to 8 inches | 24 | 22 |
| 9 – 24 inches | 22 | 20 |
| 25 – 48 inches | 20 | 18 |
| 49 – 72 inches | 18 | 16 |
Heating and Refrigeration — Mastering Thermal Comfort
The Winter Surprise
the practitioner's building had been designed primarily with cooling in mind — after all, it was in a region with hot summers. But when winter arrived, the upper-floor apartments discovered that heating was undersized. the practitioner had used a standard heat loss estimate without correcting for the altitude-reduced air density, the increased wind exposure at height, or the actual R-value of the curtain wall assembly.
the practitioner pulled out her field notebook and showed the practitioner the quick estimation method.
Heat Loss Estimates — Quick Calculation Method
For rapid heat loss estimation, use the building volume and design conditions:
Masonry Wall Construction (BTU per Cubic Foot):
| Structure Type | 60°F Indoor | 65°F Indoor | 70°F Indoor |
|---|---|---|---|
| Single Story, 4 Walls Exposed | 3.4 | 3.7 | 4.0 |
| Single Story, 1 Heated Wall | 2.9 | 3.1 | 3.4 |
| Single Floor, 1 Heated Wall, Heated Above | 1.9 | 2.0 | 2.2 |
| Single Floor, 2 Heated Walls, Heated Above | 1.4 | 1.5 | 1.6 |
| Single Floor, 2 Heated Walls | 2.4 | 2.6 | 2.8 |
| Multi-Story (2 Story) | 2.9 | 3.1 | 3.4 |
| Multi-Story (3 Story) | 2.8 | 3.0 | 3.2 |
| Multi-Story (4 Story) | 2.7 | 2.9 | 3.1 |
| Multi-Story (5 Story) | 2.6 | 2.8 | 3.0 |
Insulated Steel Wall Construction (BTU per Cubic Foot):
| Structure Type | 60°F Indoor | 65°F Indoor | 70°F Indoor |
|---|---|---|---|
| Single Story, 4 Walls Exposed | 2.2 | 2.4 | 2.6 |
| Single Story, 1 Heated Wall | 1.9 | 2.0 | 2.2 |
| Single Floor, 1 Heated Wall, Heated Above | 1.3 | 1.4 | 1.5 |
| Single Floor, 2 Heated Walls, Heated Above | 0.9 | 1.0 | 1.1 |
| Single Floor, 2 Heated Walls | 1.6 | 1.7 | 1.8 |
| Multi-Story (2 Story) | 1.9 | 2.1 | 2.2 |
| Multi-Story (3 Story) | 1.8 | 2.0 | 2.1 |
Correction Factors for Outdoor Design Temperature:
| Outdoor Design Temp (°F) | Multiplier |
|---|---|
| +50 | 0.23 |
| +40 | 0.36 |
| +30 | 0.53 |
| +20 | 0.69 |
| +10 | 0.84 |
| 0 | 1.00 |
| -10 | 1.15 |
| -20 | 1.20 |
| -30 | 1.46 |
Assumptions for these values:
- 0°F outdoor design (apply correction factors for other conditions)
- Slab construction (if basement, multiply final BTU/hr by 1.7)
- Flat roof
- Window area is 5% of wall area
- Air change rate is 0.5 per hour
Fuel Comparisons — Equivalent Energy Content
| Fuel Type | Equivalent to 1,000,000 BTU |
|---|---|
| Natural Gas | 10 Therms or 1,000 cubic feet |
| Propane Gas | 46 pounds or 10.88 gallons |
| No. 2 Fuel Oil | 7.14 gallons |
| Electrical Resistance | 293 kWh |
| Municipal Steam | 1,000 pounds condensate |
| Sewage Gas | 1,538 to 2,380 cubic feet |
Fuel Gas Characteristics
| Gas Type | BTU/Cubic Foot | Specific Gravity |
|---|---|---|
| Natural Gas | 925 – 1,125 | 0.60 – 0.66 |
| Propane Gas | 2,550 | 1.52 |
| Sewage Gas | 420 – 650 | 0.55 – 0.85 |
| Coal Gas | 400 – 500 | 0.50 – 0.60 |
| LP/Air Mix | 1,425 | 1.29 |
Estimated Seasonal Efficiencies of Heating Systems
| System | Seasonal Efficiency |
|---|---|
| Gas Fired Gravity Vent Unit Heater | 62% |
| Energy Efficient Unit Heater | 80% |
| Electric Resistance Heating | 100% |
| Steam Boiler with Steam Unit Heaters | 65% – 80% |
| Hot Water Boiler with Hydronic Unit Heaters | 65% – 80% |
| Oil Fired Unit Heaters | 78% |
| Municipal Steam System | 66% |
| Infrared (High Intensity) | 85% |
| Infrared (Low Intensity) | 87% |
| Direct Fired Gas Makeup Air | 94% |
| Improvement: + Power Ventilator to Gas Gravity Vent | +4% |
| Improvement: + Spark Pilot to Gas Gravity Vent | +0.5% – 3% |
| Improvement: + Auto Flue Damper + Spark Pilot | +8% |
Annual Fuel Use Formulas
Electric Resistance:
KWH/Year = [H / (ΔT × 3,413 × E)] × D × 24 × CD
Natural Gas:
Therms/Year = [H / (ΔT × 100,000 × E)] × D × 24 × CD
Propane (by weight):
Pounds/Year = [H / (ΔT × 21,739 × E)] × D × 24 × CD
Propane (by volume):
Gallons/Year = [H / (ΔT × 91,911 × E)] × D × 24 × CD
Oil:
Gallons/Year = [H / (ΔT × 140,000 × E)] × D × 24 × CD
Where:
- ΔT = Indoor Design Temperature minus Outdoor Design Temperature
- H = Building Heat Loss (BTU/hr)
- D = Annual Degree Days
- E = Seasonal Efficiency (from table above)
- CD = Correlation Factor (from degree-day chart — ranges from ~0.6 at 2,000 degree days to ~1.0 at 6,000+ degree days)
Properties of Saturated Steam
Selected Values:
| Temperature (°F) | Pressure (PSIA) | Specific Volume Sat. Vapor (ft³/lbm) | Enthalpy Sat. Liquid (BTU/lbm) | Enthalpy Sat. Vapor (BTU/lbm) |
|---|---|---|---|---|
| 32 | 0.089 | 3,304.7 | 0 | 1,075.5 |
| 100 | 0.949 | 350.4 | 68.0 | 1,105.1 |
| 150 | 3.72 | 97.1 | 118.0 | 1,126.1 |
| 212 | 14.70 | 26.80 | 180.2 | 1,150.5 |
| 250 | 29.82 | 13.82 | 218.5 | 1,164.0 |
| 300 | 67.01 | 6.47 | 269.7 | 1,179.7 |
| 350 | 134.6 | 3.34 | 321.8 | 1,192.3 |
| 400 | 247.3 | 1.86 | 375.1 | 1,201.0 |
| 500 | 680.9 | 0.675 | 487.9 | 1,202.2 |
Cooling Load Check Figures
Quick estimates for cooling system sizing:
| Classification | Occupancy (ft²/person) | Lights (W/ft²) | Refrigeration (ft²/ton) | Air Qty (CFM/ft²) |
|---|---|---|---|---|
| Apartment, High Rise | 100–325 | 1.0–4.0 | 350–450 | 0.5–1.7 |
| Schools/Universities | 20–30 | 2.0–6.0 | 150–240 | 0.8–2.2 |
| Light Manufacturing | 100–200 | 9.0–12.0 | 100–200 | 1.6–3.8 |
| Hospital Patient Rooms | 25–75 | 1.0–2.0 | 165–275 | 0.33–0.67 |
| Hotels/Motels | 100–200 | 1.0–3.0 | 220–350 | 0.9–1.5 |
| Office Buildings | 80–130 | 4.0–9.0 | 190–360 | 0.25–1.8 |
| Restaurants (Large) | 13–17 | 1.5–2.0 | 80–135 | 0.8–3.7 |
| Department Stores (Main) | 16–45 | 3.5–9.0 | 150–350 | 0.9–2.0 |
| Retail Clothing Stores | 30–50 | 1.0–4.0 | 185–345 | 0.6–1.6 |
Pumps and Piping — The Hydronic Backbone
The Cavitation Crisis
In month four, a new sound appeared in the chilled water plant room — a rhythmic, grinding noise from the primary chilled water pump that sounded like someone had poured gravel into the housing.
"That's cavitation," the practitioner said without even walking over to the pump. "The Net Positive Suction Head available is less than what the pump requires. The water is literally boiling at the pump inlet and the vapor bubbles are collapsing inside the impeller."
the practitioner looked at the piping layout. The expansion tank connection was on the discharge side of the pump — pressurizing the discharge but not the suction.
"Move the expansion tank connection to the suction side," the practitioner said. "The pump adds pressure to the system. You want that pressure addition to push water through the system, not push it away from the pump suction."
