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Cooling and Heating Equation:

Latent and sensible cooling and heating equations - in imperial units


Sensible heat is heat exchanged by a body thermodynamic system that has as its sole effect a change of temperature


Latent Heat, which is the amount of heat exchanged that is hidden, meaning it occurs without change of temperature


Sensible Heat:


The sensible heat in a heating or cooling process of air (heating or cooling capacity) can 
be expressed as


hs =1.08 q dt (1)

where


hs =sensible heat (Btu/hr)
q =air volume flow (cfm, cubic feet per minute)
dt =temperature difference (F)


Latent Heat:


The latent heat due to moisture in the air can be expressed as: 


ht =0.68 q dWgr (2)

or


ht =4, 840 q dWtb (3)

where


h1=
latent heat (Btu/hr)
q = air volume flow (cfm, cubic feet per minute)
dwgr =humidity ratio difference (grains water / lb dry air)
dw1b =humidity ratio difference (lb water / lb dry air)


1 grain= 0.0001431b =0.0648



Total Heat- Latent and Sensible Heat


Total heat due to both temperature and moisture can be expressed as: 


ht =4.5 q dh (4)

where


ht=
total heat (Btu/hr)
q = air volume flow (cfm, cubic feet per minute)
dh = enthalpy difference (btu / lb dry air)


Total heat can also be expressed as:


1.08 q dt + 0.68 q dWgr (5) 


Example - Heating Air


An air flow of one cfm is heated from 32 to 5~F. Using (1) the sensible heat added to the air can be expressed as:


hs = 1.08 (1 cfm) ((52 °F)- (32 °F)) = 21.6 (Btulhr) (6)






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