PCalc and HP 50g: Horizontal Pipe Discharge

Variables:

X, Y, and D (diameter of the pipe) are in inches. Flow (Q) is calculated in GPM (gallons per minute).

Q ≈ .25974 * π * D^2/4 * X * √( g /(2 * Y))

Where

g = 9.80665 m/s^2 ≈ 386.08858 in/s^2

1 in^3/s ≈ .25974 gal/min

Source:

Gary P. Markey. Lecture 14: Flow Measurement in Pipes. BIE 5300/6300 Lectures

Utah State University - Open Courseware

http://ocw.usu.edu/Biological_and_Irrigation_Engineering/Irrigation___Conveyance_Control_Systems/L14_FlowMeasurementInPipes.pdf

PCalc: Horiz. Pipe Discharge (GPM)

Store the following values before proceeding:

D in M1

X in M2

Y in M3

Decimal Mode

Set X To M1

X To Power of 2

Multiply X By M2

Multiply X By Pi

Divide X By 4

Set R0 To 386.08858

Divide R0 By 2

Divide R0 By M3

R0 To Power of 0.5

Multiply X By R0

Multiply X By .25974

HP 50g: HPD

SQ: x^2

<< "Hose Diameter (in)" PROMPT

"X (in)" PROMPT

"Y (in)" PROMPT

→ D X Y

<< π D SQ * X * 4 / →NUM

386.08858 2 Y * / √ *

.25974 * "Flow (GPM)" →TAG >> >>

Example:

D = 2.5 in

X = 8 in

Y = 4 in

Result:

Flow ≈ 70.85936 Gallons per Minute

- Eddie -

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