Calculation of normal and critical depth in a prismatic channel using the Manning equation, Victor Miguel Ponce, San Diego State University

onlinechannel05.php: Normal and critical depth in a prismatic channel

Definition sketch for a prismatic channel
Normal depth formulas

A = y(b + zy)
P = b + 2y(1 + z²)^1/2
T = b + 2zy
R = A/P
D = A/T
Q = (k/n) AR^2/3S^1/2
V = Q/A
F = V/(gD)^1/2

    Critical depth formulas

F² = (Q²T)/(gA³)
F = 1
(Q²/g)T - A³ = 0
A = y(b + zy)
T = b + 2zy
V = Q/A
D= A/T

INPUT DATA:

Select:

Flow discharge Q:

Bottom width b:

Side slope z:

Bottom slope S:

Manning's n:

INTERMEDIATE CALCS
(normal depth):

Units selected:
Gravitational acceleration g:
Units constant k:    0
Flow area A_n:    0
Wetted perimeter P_n:    0
Top width T_n:    0
Hydraulic radius R_n:    0
Hydraulic depth D_n:    0

OUTPUT
(normal depth):

Depth y_n:    0
Velocity V_n:    0
Froude number F_n:    0

INTERMEDIATE CALCS
(critical depth):

Units selected:
Gravitational acceleration g:
Flow area A_c:    0
Wetted perimeter P_c:    0
Top width T_c:    0
Hydraulic radius R_c:    0
Hydraulic depth D_c:    0

OUTPUT
(critical depth):

Depth y_c:    0
Velocity V_c:    0
Froude number F_c:    0



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online calc
normal depth	critical depth	normal and critical depth		discharge in channel	critical slope
normal depth in culvert	critical depth in culvert	discharge in culvert		discharge sluice	discharge weir
M1 wsprofile	M2 wsprofile	M3 wsprofile	S1 wsprofile	S2 wsprofile	S3 wsprofile
C1 wsprofile	H2 wsprofile	A2 wsprofile	C3 wsprofile	H3 wsprofile	A3 wsprofile
sequent depth HJ	energy loss HJ	initial sequent HJ	efficiency HJ	critical width constriction
ogee spillway	Hazen-Williams	parallel pipes	three reservoirs	tractive force
V-notch weir	V-notch partially contracted	Cipolletti weir	Rectangular weir	Standard contracted rectangular weir	Standard suppressed rectangular weir
Froude number		Vedernikov number		Limiting contracting ratio
Creager	rational	slope-area	linear reservoir	storage indication 1	storage indication 2
Muskingum	Muskingum-Cunge	time-area	Clark UH	Cascade of linear reservoirs
USGS Methods for magnitude of floods in California	Kinematic wave applicability	Diffusion wave applicability	Clark's unit hydrography compared to Ponce's version	Correlation coefficient of a joint probability distribution	Storage volume of a detention basin
Blaney-Criddle	Penman	Penman-Monteith reference crop	Thornthwaite	Priestley-Taylor	Penman-Monteith ecosystems
Gumbel	Gumbel 2	Log Pearson	Log Pearson 2	TR-55 graphical	curve number
Overland flow using the diffusion wave method	Dynamic hydraulic diffusivity	convolution	S-hydrograph	time of concentration	water balance
UH cascade	dimensionless UH cascade		general UH cascade	series UH cascade	all series UH cascade
one-predictor linear	one-predictor nonlinear	two-predictor linear	two-predictor nonlinear	hyperbolic regression
fall velocity	Lane & Koelzer	USLE	USLE2	Dendy-Bolton	Shields
Duboys	Meyer-Peter	Colby 1957	Colby	reservoir design life	*Equilibrium channel top width using the Lane et al.* theory**
Modified Einstein Procedure		bridge scour using Melville equation
DO sag	DO sag analysis		Oxygenation	Salinity (EC to TDS)