Calculation of discharge in pipes connecting three reservoirs, Victor Miguel Ponce, San Diego State University

onlinepipe02.php: Calculation of discharge in pipes connecting three reservoirs [Description]

Formulas:

A_AD = (&pi/4) D_AD² ; A_BD = (&pi/4) D_BD² ; A_DC = (&pi/4) D_DC²
z_A = z_D + p_D/γ + f_AD (L_AD/D_AD) V_AD²/(2g)
z_B = z_D + p_D/γ + f_BD (L_BD/D_BD) V_BD²/(2g)
z_D + p_D/γ = f_DC (L_DC/D_DC) V_DC²/(2g)
V_AD A_AD + V_BD A_BD - V_DC A_DC = 0

Units:

SI units: z and D in m; U.S. Customary units: z and D in ft.

♦ This program calculates discharges Q in three pipes connected to three reservoirs A, B, and C.
♦ The reservoirs are connected to a central point D at elevation z_D.
♦ The program uses the energy equation in the three pipes, and the continuity equation in junction D.
♦ A trial-and-error algorithm satisfies continuity at junction D.
♦ The discharges calculated are: Q_AD, Q_BD, and Q_DC.
♦ The directions are those indicated in the figure.
♦ Minor head losses are neglected.
♦ If input z_A elevation results in Q_AD negative, an error message (Error message 15) is printed and the calculation stops.
♦ Any input value left blank (or zero) will trigger a fatal error message.
♦ The program can handle either SI (metric) or U.S. Customary units.
♦ Discharge output is in m³/s and L/s (SI units); or cfs and gpm (U.S. Customary units).

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online calc
normal depth	critical depth	discharge in culvert	critical slope	sequent depth HJ	energy loss HJ
discharge sluice	discharge weir	discharge channel	initial sequent HJ	critical constriction	efficiency HJ
M1 wsprofile	M2 wsprofile	M3 wsprofile	S1 wsprofile	S2 wsprofile	S3 wsprofile
C1 wsprofile	H2 wsprofile	A2 wsprofile	C3 wsprofile	H3 wsprofile	A3 wsprofile
tractive force				ogee spillway	Hazen-Williams
creager	rational	slope-area	linear reservoir	storage indication 1	storage indication 2
Muskingum	Muskingum-Cunge	time-area	Clark UH	cascade of linear reservoirs
Blaney-Criddle	Penman	Penman-Monteith	Thornthwaite	Priestley-Taylor
Gumbel	Gumbel 2	Log Pearson	Log Pearson 2	TR-55 graphical	convolution
S-hydrograph	curve number	time of concentration
hyperbolic regression		one-predictor linear	one-predictor nonlinear	two-predictor linear	two-predictor nonlinear
USLE	Dendy-Bolton	Shields	Duboys	Colby	reservoir design life