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PF pin-fin ND functions

 

 

The procedure: 

 

CHX_ND_PF_pin_fin(TypeHX$, Re: f, j_H)

 

provides the dimensionless performance associated with a pin fin compact heat exchanger surface.  These data are from Kays and London (1994).

 

Inputs

TypeHX$: string identifying the geometry 

 AP-1: 'PF_pin-fin_AP1'

 AP-2: 'PF_pin-fin_AP2'

 PF-3: 'PF_pin-fin_PF3'

 PF-4(F): 'PF_pin-fin_PF4F'

 PF-9(F): 'PF_pin-fin_PF9F'

 PF-10(F): 'PF_pin-fin_PF10F'

Re: Reynolds number (-)

 

Outputs

f:  friction factor (-)

j_H: Colburn j function for heat transfer (-)

 

The Reynolds number is defined according to:

 

 

where m is the viscosity, Dh is the hydraulic diameter, and G is the mass flux.  The hydraulic diameter is defined as:

 

 

where Ac is the minimum free flow area, A is the total heat transfer area, and L is the length in the flow direction.

 

The mass flux is defined as: 

 

 

where is the mass flow rate.  

 

The friction factor is defined as:

 

 

where r is the density, and to is the equivalent shear stress, defined as:

 

 

where DP is the pressure drop due to friction and form drag in the core.

 

Example

$UnitSystem SI Mass J K Pa 

TypeHX$='PF_pin-fin_AP-1'

Re = 2300

Call chx_nd_pf_pin_fin(TypeHX$, Re: f, j_H)

 

{Solution is:

f = 0.0.07189, j_H = 0.01298}

 

Related procedures include:

Geometry Functions

Coefficient of Heat transfer

Pressure Drop