## Shortcut Sizing for Air Cooled Heat Exchanger

Wed, 30 Dec 2015

An air-cooled exchanger is used to cool fluids with ambient air. 1 inch OD tube is the most popular diameter and the most common fins are 1/2 inch or 5/8 inch high. Tube configuration used in this guideline : 1 inch OD tube, 5/8 inch fin height, 10 fins per inch and 2.5 inch triangular pitch.

APSF - External area in ft²/ft² of bundle face area.

APF - Total external area/ ft of fintube in ft²/ft ~ 5.58.

Face Velocity - Typical air face velocities (VFace ) used in design are tabulated above, these value result in optimum cost of exchanger.

Obtain Process Parameters

Obtain process duty (Q), hot process side inlet (T1) and outlet (T2) temperature. Select an overall heat transfer coefficient (U) from literature based on type of fluids. Select an air inlet temperature (t1) that is not exceeded during a certain percentage of time over the year (e.g. 95% of the time).

Calculate Air Density

Density at air inlet temperature and site elevation

````ρo = 14.696 x 29 /(10.7316 x (t1 + 459.67))`
`ρAir / ρo = exp(-29 x z/ (1545 x (t1 + 459.67)))````

where,

t1: Air Inlet Temperature, °F

z : Elevation above sea level, feet

Calculate MTD

Assume an Air outlet temperature (t2) and calculate LMTD.

````LMTD = ((T1-t2) -(T2-t1))/ ln((T1-t2)/(T2-t1))`
`R = (T1 - T2)/(t2 - t1)`
`S = (t2 - t1)/(T1 - t1)````

LMTD Correction factor (F) is estimated based on following graphs

Cross Flow Single Pass
Cross Flow Two Pass
Calculate Air Flowrate

Finned area is estimated using following equation :

``AFinned = Q / (U * F * LMTD)``

Bundle Face area is estimated using following equation :

``AFace = AFinned / APSF``

Air Flow is estimated using following relation :

``VAir = AFace * VFace``

Air Mass flowrate is estimated :

``MAir = VAir * ρAir``

Air temperature rise is calculated :

``ΔT = Q / (MAir * CpAir )``

Revised air outlet temperature is calculated :

``t2 = t1 + ΔT``

This temperature is again used in above steps to re-estimate air outlet temperature. Above steps are iterated till there is no change in air outlet temperature.

Air Cooler Dimension

Air cooler width is calculated :

``W = AFace / LTube``

Number of Tubes are calculated :

``NTube = AFinned / (APF * LTube)``

Number of Tubes per Row are calculated :

``Nr Tube = NTube / No of Rows``

where,

LTube : Length of Tube

Air Side Pressure Drop

Air Side pressure drop is calculated as following :

``ΔP Total = ΔPStatic + ΔPVelocity``

Static Pressure Drop

Pressure drop across tube bundle.

````ΔP Static = FP * No of Rows / DR`
`FP = 6*10-8 * ( GFace )1.825````

where,

DR : ρAir / ρAir at seal level and 70°F

GFace : Air face mass velocity in lb/h.ft² face area

ΔPStatic : Static pressure drop in inch of H2O

Velocity Pressure Drop

Typically 2 fans are used in air cooler. Fan area per fan (FAPF) is calculated as following :

``FAPF = 0.4 * AFace / No. of Fans``

Fan Diameter is calculated :

````D = (4 * FAPF / π )0.5`
`ΔPVelocity = (ACFM / (4005 * (π* D2/4)) )2* DR````

where,

ACFM : Air flowrate in Actual Cubic Feet per Minute

ΔPVelocity : Velocity pressure drop in inch of H2O

Power Calculation

Break power for fan is calculated as following :

``BHP = ΔP Total * ACFM / 6356 / ηFan``

Motor power is calculated as following :

``Power = BHP / ηMotor``

### References

1. Process Heat Transfer: Principles and Applications,2007, Robert W Serth
2. Handbook of Chemical Engineering Calculations, Nicholas P Chopey
3. Rules of Thumb for Chemical Engineers, Carl R Branan
4. GPSA, Engineering Databook, 12th Edition FPS

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