Uplflow Ramps

Phase 1: Hydraulic dimensioning

Goal: to obtain the pairs of values (h₂ (m), Δh (m)) compatible with data

Data

Input data error

Q_RMIN (m³/s)	[[ paso1.Q_min ]]
WGg_MIN (m)	[[ paso1.AvG_min ]]
Nº modules	[[ paso1.n_modulos ]]
¿Step?	Yes No
p (m)	[[ paso1.p ]]

Results nº1a Values of [Δh (m); h₂ (m); WGg (m)] compatible with data

	h₂ (m)
Δh (m)	[[ h ]]
[[ index ]]

* Select the WGg value by "clicking" on the corresponding cell

Results nº 1b: Select values [Δh (m); h₂ (m); WGg (m)]

h₂ (m)	[[ paso2.h_2 ]]
Δh (m)	[[ paso2.delta_h ]]
WGg (m)	[[ paso2.AvG ]]

Phase 2: Geometric dimensioning

Goal: to define geometric characteristics of the ramp

Data

Hydraulic

h₂ (m)	[[ paso2.h_2 ]]
Δh (m)	[[ paso2.delta_h ]]
WGg (m)	[[ paso2.AvG ]]

Geometric

H₀ (m)	[[ paso2.Ce ]]
Hcweir (m)	[[ paso2.Cuaz ]]
h_weir (m)*	[[ paso2.haz ]]

* See the

Results nº2

Hydraulic

h₁ (m)	[[ paso2.h_1 ]]
y (m)	[[ paso2.y ]]
v_MAX (m/s)	[[ paso2.v ]]
HWs(Q_RMIN) (m)	[[ paso2.Cuaz - paso2.y ]]

Geometric

H_T (m)	[[ paso2.H_t ]]
H_R (m)	[[ paso2.H_r ]]
nº rows	[[ paso2.n_hiladas ]]
nº pools	[[ paso2.n_estanques ]]
Hb (m)*	[[ paso2.H_b ]]
WHg (m)	[[ paso2.AvH ]]

* If user wants to get a specific value of Hb, see the

Phase 3: Dimensionig to control the dissipated power

Goal: For Q_RMIN, obtain the dissipated power as a function of the slope of the ramp

Data

Db (m)	[[ paso3.Db ]]
Wb (m)	[[ paso3.Ab ]]
α (°)	[[ paso3.alpha ]]

Results nº 3a:

a (m)	[[ paso3.a ]]	Width of modules
b (m)	[[ paso3.b ]]	Wm_edge (m)	[[ paso3.A_modulo_borde ]]
W_ramp (m)	[[ paso3.A_rampa ]]	Wm_mid (m)	[[ paso3.A_modulo_centro ]]

Results nº 3b

			Single module		Edge module		Mid module
tgβ	L_R (m)	Lp (m)	Vol m (m³)	Pd (W/m³)	Vol m (m³)	Pd (W/m³)
	[[ r.Lg ]]	[[ r.Le ]]	[[ m ]]	[[ m ]]

* User must pre-select a slope of the ramp. This value will be used as reference in Phase 4 to assess compliance with the maximum dissipated power condition for Q_R(y = 0) y Q_RMAX

* The height of the channel bed at the ramp outfall set by the user (H0 and the slope selected, define the length of the ramp (L_R). If this lenght does not satisfy the user, they can modify changing H0 (Phase 2) and/or the slope.

Phase 4: Generation of the functional flow range

Goal: To determine the functional range of ramps flows and the corresponding hydraulic variables

Phase 4a: To determine Q_R(y=0) and the hydraulic variables

Hydraulic data

Hb (m)	[[ paso2.H_b ]]
h_weir (m)	[[ paso2.haz ]]
Nº modules	[[ paso1.n_modulos ]]
tgβ	[[ paso4.tg_beta ]]

Geometric data

Δh (m)	[[ paso2.delta_h ]]

* These values have been set in previous phases. If you want to change them, you must go to the corresponding phase and update the results.

Results nº 4a.1

Q_R(y=0) (m³/s)	[[ paso4.Q_rampa ]]
h₂[Q_R(y=0)] (m)	[[ paso4.h_2 ]]
h₁[Q_R(y=0)] (m)	[[ paso4.h_1 ]]
h₀[Q_R(y=0)] (m)	[[ paso4.h_0 ]]

Results nº 4a.2

			Single module		Edge module		Mid module
tgβ	L_R (m)	Lp (m)	Vol m (m³)	Pd (W/m³)	Vol m (m³)	Pd (W/m³)
[[ tg ]]	[[ r.Lg ]]	[[ r.Le ]]	[[ m ]]	[[ m ]]

Is the pre-selected slope accepted (tgβ = [[ paso4.tg_beta ]])?

Modify the pre-selected slope in Phase 3

Phase 4b: To obtain Q_weir(h_weir), Q_RMAX and the hydraulic variables

Weir data

[[ paso5.espesor_coronacion ]]

Crest width (m)
Weir length (m)	[[ paso5.long_azud ]]

Results nº 4b.1

Q_RMAX (m³/s)	[[ paso5.Q_rampa ]]
h₂ (Q_RMAX) (m)	[[ paso5.h_2 ]]
h₁ (Q_RMAX) (m)	[[ paso5.h_1 ]]
h₀ (Q_RMAX) (m)	[[ paso5.h_0 ]]
Q_weir(h_weir) (m³/s)	[[ paso5.Q_total_azud ]]
Qa_MAX (m³/s)	[[ paso5.Q_total ]]

Results nº 4b.2

			Single module		Edge module		Mid module
tgβ	L_R (m)	Lp (m)	Vol m (m³)	Pd (W/m³)	Vol m (m³)	Pd (W/m³)
[[ tg ]]	[[ r.Lg ]]	[[ r.Le ]]	[[ m ]]	[[ m ]]

Is the pre-selected slope accepted (tgβ = [[ paso4.tg_beta ]])?

Modify the pre-selected slope in Phase 3

Phase 5: Assessment of the behaviour in non-uniform regime

To assess the functionality of the ramp in non-uniform regime

Calculation hypothesis

Lp (m)	[[ paso6.Le ]]
Standard hypothesis 1: h_2,n (m) = h₂[Q_R (y=0)]	[[ paso6.h_2_y_0 ]]
Standard hypothesis 2: h_2,n (m) = 0.8 * h₂(Q_RMAX)	[[ paso6.h_2_q_rmax ]]
User hypothesis: h_2,n (m) user	[[ paso6.hipo ]] Must be lower than h₂(Q_RMAX)

Results nº 5

Standard hypothesis 1: h₂ = [[ paso6.h_2_y_0 ]] m

n	X (m)	h₂ (m)	h₁ (m)	Δh (m)	v_MAX (m/s)
[[ r.n ]]	[[ r.X ]]	[[ r.h_2 ]]	[[ r.h_1 ]]	[[ r.delta_h ]]	[[ r.v ]]

Standard hypothesis 2: h₂ = [[ paso6.h_2_q_rmax ]] m

n	X (m)	h₂ (m)	h₁ (m)	Δh (m)	v_MAX (m/s)
[[ r.n ]]	[[ r.X ]]	[[ r.h_2 ]]	[[ r.h_1 ]]	[[ r.delta_h ]]	[[ r.v ]]

User hypothesis: h₂ = [[ paso6.hipo ]] m

n	X (m)	h₂ (m)	h₁ (m)	Δh (m)	v_MAX (m/s)
[[ r.n ]]	[[ r.X ]]	[[ r.h_2 ]]	[[ r.h_1 ]]	[[ r.delta_h ]]	[[ r.v ]]

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	DATA		RESULTS		FIGURES IN THE MANUAL TO BE CONSULTED
	GEOMETRIC	HYDRAULIC	GEOMETRIC	HYDRAULIC	FIGURES IN THE MANUAL TO BE CONSULTED
PHASE 1	WGgmin(m)	Q_RMIN(m³/s)	Combinaciones de valores [Δh; h₂; AvG] compatibles con los datos facilitados.		3, 4, 19, 20
	Nm
	p(m)
PHASE 2	H₀(m)	Δh(m)	H_T(m)	h₁(m)	3, 17, 18
	Hcweir(m)	h₂(m)	H_R(m)	y(m)
	WGg(m)		Nrow	Vmax (m/s)
	h_weir(m)		Np
			Hb(m)
			WHg(m)
PHASE 3	Db(m)		a(m)	Vol m^*(m³)	5, 17
	Wb(m)		b(m)	Pd^*(W/m³)
	α(°)		Wramp(m)	h₀(m)
			L_R^*(m)
			Lp^*(m)
			Wm^*(m)
			^*Values are given for 0.03 ≤ tgβ ≤ 0.1
PHASE 4a	Hb(m)	Δh		Q_R(y=0) (m³/s)	21
	h_weir(m)			h₂[Q_R(y=0)] (m)
	Nm			h₁[Q_R(y=0)] (m)
	tgβ			h₀[Q_R(y=0)] (m)
				Vol m^*(m³)
				Pd^*(W/m³)
			^*Values are given for 0.03 ≤ tgβ ≤ 0.1
PHASE 4b	Wcweir			Q_RMAX (m³/s)	22
	Lweir			h₂(Q_RMAX) (m)
				h₁(Q_RMAX) (m)
				h₀(Q_RMAX) (m)
				Q_weir(h_weir) (m³/s)
				Qa_MAX=Q_weir(h_weir) + Q _RMAX
				Vol m^*(m³)
				Pd^*(W/m³)
			^*Values are given for 0.03 ≤ tgβ ≤ 0.1
PHASE 5		h_2,n^{no U}user (m)^**		h₁(m)^***	23
	^** If user does not enter any values, only the assumptions are evaluated: h_2,n^{no U} (Q_RMAX) = h_2,n^U Q_R(y=0) h_2,n^{no U} (Q_RMAX) = 0.8*h_2,n^U (Q_RMAX)			h₁(m)^***
				Δh(m)^***
				Vmax(m/s)^***
			^**The values in each row are given for the hypothesis: h_2,n^{no U}* (Q_RMAX) = h_2,n^U Q_R(y=0) h_2,n^{no U} (Q_RMAX) = 0.8*h_2,n^U (Q_RMAX) h_2,n^{no U} (Q_RMAX) = h_2,n^Uuser

[[ proy.nombre ]]

Phase 1: Hydraulic dimensioning

Goal: to obtain the pairs of values (h2 (m), Δh (m)) compatible with data

Data

Results nº1a Values of [Δh (m); h2 (m); WGg (m)] compatible with data

Results nº 1b: Select values [Δh (m); h2 (m); WGg (m)]

Phase 2: Geometric dimensioning

Goal: to define geometric characteristics of the ramp

Data

Hydraulic

Geometric

Results nº2

Hydraulic

Geometric

Phase 3: Dimensionig to control the dissipated power

Goal: For QRMIN, obtain the dissipated power as a function of the slope of the ramp

Data

Results nº 3a:

Results nº 3b

Phase 4: Generation of the functional flow range

Goal: To determine the functional range of ramps flows and the corresponding hydraulic variables

Phase 4a: To determine QR(y=0) and the hydraulic variables

Hydraulic data

Geometric data

Results nº 4a.1

Results nº 4a.2

Phase 4b: To obtain Qweir(hweir), QRMAX and the hydraulic variables

Weir data

Results nº 4b.1

Results nº 4b.2

Phase 5: Assessment of the behaviour in non-uniform regime

To assess the functionality of the ramp in non-uniform regime

Calculation hypothesis

Results nº 5

Standard hypothesis 1: h2 = [[ paso6.h_2_y_0 ]] m

Standard hypothesis 2: h2 = [[ paso6.h_2_q_rmax ]] m

User hypothesis: h2 = [[ paso6.hipo ]] m

Goal: to obtain the pairs of values (h₂ (m), Δh (m)) compatible with data

Results nº1a Values of [Δh (m); h₂ (m); WGg (m)] compatible with data

Results nº 1b: Select values [Δh (m); h₂ (m); WGg (m)]

Goal: For Q_RMIN, obtain the dissipated power as a function of the slope of the ramp

Phase 4a: To determine Q_R(y=0) and the hydraulic variables

Phase 4b: To obtain Q_weir(h_weir), Q_RMAX and the hydraulic variables

Standard hypothesis 1: h₂ = [[ paso6.h_2_y_0 ]] m

Standard hypothesis 2: h₂ = [[ paso6.h_2_q_rmax ]] m

User hypothesis: h₂ = [[ paso6.hipo ]] m