Flow In Full Pipes (3, 4); Forces And Energy (4) - HP 48gII Advanced User's Reference Manual

Example:
Given: P2=30_psi, P1=65_psi, y2=100_ft, y1=0_ft, =64_lb/ft^3, D1=24_in, hL=2.0_ft^2/s^2, W=25_hp,
v1=100_ft / s.
Solution: Q=18849.5559_ft^3/min, M=1206371.5790_lb/min, ∆P=-35_psi, ∆y=100_ft, v2=93.1269_ft /s,
A1=452.3893_in^2, A2=485.7773_in^2, D2=24.8699_in.

Flow in Full Pipes (3, 4)

These equations adapt Bernoulli's equation for flow in a round, full pipe, including power input (or output) and
frictional losses. (See "FANNING" in Chapter 3.)
Equations:
2
D P
⎛ ⎞ v a v g ⎛
- - - - - - - - - - - - - - - - - - - - - + g
⎝ ⎠ ⎝
4
P = P 2 P 1 –
Q = A v a v g - - - - -- - - - - - - - -
A =
Example:
Given: =62.4_lb/ft^3, D=12_in, vavg= 8_ft/s, P2=15_psi, P1=20_psi, y2=40_ft, y1=0_ft,
=0.00002_lbf s/ft^2, K=2.25, =0.02_in, L=250_ft.
Solution: ∆P=-5_psi, ∆y=40_ft, A=113.0973_in^2, n=1.0312_ft^2/s, Q=376.9911_ft^3/min,
M=23524.2358_lb/min, W=25.8897_hp, Re=775780.5.

Forces and Energy (4)

Variable Description
Angular acceleration
Angular acceleration
i f
Initial and final angular velocities
Fluid density
Torque
Angular displacement
Acceleration
L K
⎛ ⎛ ⎞
2
y + v a v g 2 f --- - + ------- -
⎝ ⎝ ⎠
D 2
y = y 2 y 1 –
M = Q
2
D vavg
D
- - - - ------------------------ -
R e =
4
⎞ ⎞
= W
⎠ ⎠
-- -
n =
Equation Reference 5-21