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HVAC Physical Models

Zone Model

definition of a HVAC zone - An HVAC zone can be defined as a cluster of adjacent offices and/ or spaces often covered by a common air-handling unit (AHU) or air terminal device.

list of analytical models assumptions.

  • The air in the zone is fully mixed, and zone temperature distribution is uniform.
  • The effect of North and South wall on the zone temperature is same. Also, the effect of East and West wall on the zone temperature is same.
  • The ground/floor has no effect on the zone temperature.
  • The density of the air is constant and is not influenced by changing the temperature and humidity ratio of the zone.
  • No pressure losses across the zone and in the mixing section.

Variables

  • Cz - Overall thermal capacitance of the zone - 47.1 kJ/C
  • Tz - Zone Temperature - C
  • Fsa - volume flow rate of supply fan - 0.192 m3/s
  • ρa - density of air - 1.25 kg/m3
  • Cpa - specific heat of supply air - 1.005 kJ/kgC
  • Tsa - temperature of supply air - C
  • Uw1 - overall heat transfer coefficient (East and west walls) - 2 w/m2C
  • Uw2 - overall heat transfer coefficient (North and South walls) - 2 w/m2C
  • Ur - overall heat transfer coefficient (roof) - 1 w/m2C
  • Aw1 - Area (East and West walls) - m2
  • Aw2 - Area (North and South walls) - m2
  • Ar - Area (Roof) - m2
  • Tw1 - temperature (East and West walls) - C
  • Tw2 - temperature (North and South walls) - C
  • Tr - temperature (Roof) - C
  • q - heat gain for occupants and lights - W

Model

$$ -+ $$

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