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K_supply_branch_conical_90



The K_supply_branch_conical_90(V1overV3, A1overA3) function returns the resistance coefficient for a 90 degree supply branch with a conical inlet.  The coefficient returned is for the branch and should be applied to the upstream main duct velocity.  The coefficient is a function of the ratio of the branch to upstream volumetric flow rates and the ratio of the branch to upstream  areas.  The correlation is for circular ducts.  Note that the function DuctSupplyBranchConical90_CL in the component library implements the dimensional version of this function.  

Inputs: 
V1overV3 = ratio of branch to upstream flow rates
A1overA3 = ratio of branch to upstream areas

Example:
$UnitSystem SI C kPa Degree
$VarInfo DELTAP units=Pa
$VarInfo rho units=kg/m^3
V1overV3=0.7
A1overA3 = 0.5
K=k_supply_branch_conical_90(V1overV3, A1overA3)
vel = 10 [m/s]
P = Po#
T = 20 [C]
F$ = 'Air'
rho=density(F$,P=P,T=T)
DELTAP = rho*vel^2/2*K

{Solution:
DELTAP=64.89 [Pa]
K=1.078
}


Reference:
Legg, R., 2017, "Chapter 14: Ducted Air Systems" in Air Conditioning System Design, Butterworth-Heinemann

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