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Exchanger Thermal Design Equations

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Exchangers Thermal Design Equations

Air Cooler
k sf sf U md U Face
ho 0.134 ( ) Pr 0.33 Re 0m.681 ( ) 0.2 ( ) 0.1134 Re , Um
d f tf
k Nt
hi 0.0225 ( ) Pr 0.445 Re 0.795 exp[ 0.0225( n Pr) 2 ] , mt d i2V , N t Nr Nc
d N pl 4
1
Uo
1 Ao
rf
f ho Ai hi

Q C min (Th, max Tc , min )

1 UAo C min
1 exp{ [1 exp( C r NTU )]} , NTU , Cr
Cr C min C max
________________________________________________________________________
Chilled-water Cooling Coils

ha hs Cphi Ai
R , R ( )
ts tw ho Ao

hs 10.73 1.4t s 0.046t s2 for ts tdew point


hs ha Cp (t s ta ) for ts tdew point

b b2 4ac
ts , [a=0.046 , b=1.4+R , c= ha +R tw-10.73] for ts tdew point
2a

ho ha hai hsi hsi 1


Qi m w Cp w Tw m a ha Ao, i ( i 1
)
Cp 2 2

t a ,i t a ,i 1 t s ,i t s ,i 1
Qsi ma Cp (t a,i t a ,i 1 ) ho Ao ,i (
)
2 2
___________________________________________________________________________
Cooling Tower

Tw ,in
KaV dTw
Cp w
mw Tw , out
(hs ha )
Q mw Cp w (Tw ,in Tw ,out ) m a (ha ,out ha ,in )

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