Heat loss and heat gain analysis in HVAC

Heat loss and heat gain analysis is essential in HVAC design to determine the heating and cooling loads of a building. This ensures that the HVAC system is properly sized, leading to better comfort, energy efficiency, and cost savings.

Heat loss and heat gain analysis in HVAC

1. What is Heat Loss & Heat Gain in HVAC?

Heat Loss: The amount of heat that escapes a building during cold weather, requiring heating.
Heat Gain: The amount of heat that enters a building during hot weather, requiring cooling.

Both must be analyzed to select the right HVAC system size (Manual J calculation).


2. Factors Affecting Heat Loss & Heat Gain

FactorImpact on Heat LossImpact on Heat Gain
Building Size & LayoutMore exterior surface area increases heat lossLarge windows & open spaces increase heat gain
Insulation (Walls, Roof, Floors)Better insulation reduces heat lossHelps reduce cooling load
Windows & DoorsPoorly insulated windows lose heatSunlight through windows adds heat (solar gain)
Climate & Outdoor TemperatureColder climates = higher heat lossHot climates = more cooling needed
Air Infiltration (Leaks, Ventilation)Gaps around doors/windows increase heat lossUncontrolled ventilation can bring in warm air
Internal Heat SourcesNot a major factorAppliances, lighting, and occupants generate heat
HVAC DuctworkPoorly insulated ducts lose heatLeaky ducts allow hot air into cool zones

3. Heat Loss Calculation (Winter Load Analysis)

🔹 Formula for Heat Loss:

Q=U×A×ΔT

Where:

  • Q = Heat loss (BTU/hr)
  • U = Overall heat transfer coefficient (depends on material insulation)
  • A = Surface area (sq. ft)
  • ΔT = Temperature difference (inside vs. outside)
  • A 200 sq. ft. wall with U = 0.5 BTU/hr·ft²·°F
  • Indoor temp: 70°F, Outdoor temp: 30°F

To calculate the heat loss (Q) through the wall, use the formula:

Q=U×A×ΔT

Where:

  • U = 0.5 BTU/hr·ft²·°F (overall heat transfer coefficient)
  • A = 200 ft² (wall area)
  • ΔT = (Indoor temp – Outdoor temp) = 70°F – 30°F = 40°F

Calculation:

Q=0.5×200×40Q

Q=4000 BTU/hr

Final Answer:

The heat loss through the 200 sq. ft. wall is 4,000 BTU/hr.

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So, 4,000 BTU/hr is lost through this wall, requiring heating to maintain indoor comfort.

Total heat loss = Sum of losses through walls, roof, windows, and air leakage.


4. Heat Gain Calculation (Summer Load Analysis)

Types of Heat Gain:

1️⃣ Sensible Heat Gain – From walls, windows, people, equipment, and lighting.
2️⃣ Latent Heat Gain – From moisture in the air (humidity, people breathing, cooking).

Formula for Sensible Heat Gain:

Q=U×A×ΔT

(Same as heat loss formula, but applied to heat entering the space.)

Formula for Latent Heat Gain (Moisture Load):

QL​=0.68×CFM×ΔW

Where:

  • Q_L = Latent heat gain (BTU/hr)
  • 0.68 = Conversion factor (BTU per cfm per grain of moisture)
  • CFM = Air infiltration or ventilation rate (cubic feet per minute)
  • ΔW = Humidity ratio difference (grains of moisture per pound of dry air)
    • 1 grain = 1/7000 lb of moisture
  • A 100 sq. ft. west-facing window (U = 1.2, Solar heat gain factor = 200 BTU/hr·ft²)

Heat gain through the window due to the temperature difference between indoor and outdoor air is calculated using:

Qconduction=U×A×ΔT

Where:

  • U = 1.2 BTU/hr·ft²·°F (window heat transfer coefficient)
  • A = 100 ft² (window area)
  • ΔT = (Outdoor temp – Indoor temp)
    • Assume Outdoor temp = 95°F, Indoor temp = 75°F
    • ΔT = 95 – 75 = 20°F

Calculation:

Qconduction=1.2×100×20

Qconduction​=2,400 BTU/hr


Solar radiation passing through the window is given by:

Qsolar=SHGF×A

Where:

  • SHGF = 200 BTU/hr·ft² (Solar Heat Gain Factor for west-facing window)
  • A = 100 ft²

Calculation:

Qsolar=200×100

Qsolar​=20,000 BTU/hr


Total Heat Gain

Qtotal=Qconduction+Qsolar

Qtotal=2,400+20,000

Qtotal=22,400 BTU/hr


Final Answer:

The total heat gain through the 100 sq. ft. west-facing window is 22,400 BTU/hr.


5. How to Use Heat Loss & Heat Gain Analysis in HVAC Design

1️⃣ Perform Manual J Calculation – Determines the correct heating & cooling capacity (tons of AC or BTU of furnace).
2️⃣ Select HVAC Equipment (Manual S) – Choose an AC unit, furnace, or heat pump that matches the calculated loads.
3️⃣ Design the Duct System (Manual D) – Ensures air is evenly distributed to all rooms for comfort.
4️⃣ Improve Energy Efficiency – Add insulation, better windows, and air sealing to reduce heating & cooling loads.

Also Read: How to Calculate Manual J, S and D in HVAC?


📌 Oversized HVAC units cycle on/off too frequently, wasting energy.
📌 Undersized systems can’t maintain comfortable temperatures.


6. Tools for Heat Load Calculations

🔹 ASHRAE Handbook – Load Calculations
🔹 Manual J (Residential) & Manual N (Commercial)
🔹 HVAC Software:
✔ Elite Software RHVAC
✔ Wrightsoft Right-J
✔ CoolCalc


Other Courses:

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