onda de flujo MG (abel)

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piscina nivelanda
		1	2	3	4	5 = 3 + 4	6	7	8		CURSO : 	Hidrologia General WA
		i	Ii	li +li+1	2*Voli/∆t - Qsal.i	(li+li+1) + "Vol.i/deltaT - Q.sal.i(m3/s)	Q. Salida (m3/s)	Vol	E		Docente:	Mg. Sc. Abel carmona Arteaga
			m3/s	m3/s				MMC	m
		0	0	30	5670.16	5700.2	0.0	1.0206	50.40			30												Eelevacion 	h	Vol	O.sal	2*Vol/∆t +Qsal
		1	30						50.70															m	m	MMC	(m3/s)	(m3/s)
		2	50						50.81															50.4			20
		3	70						51.04															51.0			33.9
		4	90						51.38															52.0			80.7
		5	110						51.82															53.0			145.8
		6	120						52.27															54.0			224.9
		7	140						52.66
		8	170						53.10															∆t=	0.10	h
		9	190						53.50															∆t=	360	s
		10	220						53.85
		11	190						53.73
		12	175						53.41															Curva Volumen-Elevación:
		13	170						53.35
		14	160						53.25															Vol =	10	*Elevación^	1.18
		15	154						53.14																1000
		16	140						53.01
		17	125						52.82															Vertedero
		18	118						52.67
		19	110						52.56															Coeficiente de descarga		2
		20	100						52.44															Longitud de cresta(m)		15
		21	85						52.27															Qk (m3/s)		20
		22	80						52.12															Q.sal.(m3/s) = Coef.desc.*Long.cresta (Elev -Elev.o)^3/2 + Qk
		23	70						51.99
		24	55						51.82
		25	50						51.65																2.81190519E-79*x^21.28473513
		26	40						51.51															Qsal=		*(2*Vol/∆t +Qsal) ^
		27	25						51.33
		28	20						51.14
		29	10						50.97
		30	0						50.77
		31	0						50.56
		32	0
		33	0
		34	0
		35	0
Transito de la onda de flujo mediante el metodo de la piscina nivelada
0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	0	30	50	70	90	110	120	140	170	190	220	190	175	170	160	154	140	125	118	110	100	85	80	70	55	50	40	25	20	10	0	0	0	0	0	0	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	0	Tiempo
Q(m3/s)
Relación entre 2*Vol/∆t +Qsal vs Q.Sal.
y = 3E-79x21.28
R² = 0.969
20	33.9	80.7	145.80000000000001	224.9	2*Vol/∆t +Qsal (m3/s)
O.sal (m3/s)
Muskingum
			CURSO : 	Hidrologia General WA
			Docente:	Mg. Sc. Abel carmona Arteaga
		t (días)	Ingreso (m3/s)	Salida (m3/s)	Numerador	Suma Numerador	Denominador	Suma Denominador			t (días)	Ingreso (m3/s)	Salida (m3/s)
		0	59	42						2	0				C1
		1	93	70						2	1				C2
		2	129	76						2	2				C3
		3	205	142						2.1	3				suma
		4	210	183						2.1	4
		5	234	185						2.1	5
		6	325	213						2.1	6
		7	554	293						2.3	7
		8	627	397						2.3	8
		9	526	487						2.3	9
		10	432	533						2.3	10
		11	252	481						2.6	11
		12	203	371						2.6	12
		13	158	252						2.6	13
		14	130	196						2.6	14
		15	105	161						2.6	15
		16	90	143						1.4	16
		17	80	112						1.4	17
		18	68	95						1.4	18
		19	59	83						1.4	19
		20	59	75						1.4	20
		delta t (dias)	1
		X	0.2
		K
		R2=
Transito de la onda de avenida mediante el metodo de Muskingum-Cunge 
Ingreso (m3/s)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	Salida (m3/s)	dias
Caudal(m3/s)
Calculo x y K
Suma denominador
Suma numerador
Muskingum-Cunge
			CURSO : 	Hidrologia General WA
			Docente:	Mg. Sc. Abel carmona Arteaga
		Tr (días)
		M	6
		Delta t (días)
		So	0.025
		n	0.025
		Qbase (m3/s)	50
		Qpico (m3/s)
		Q.lateral (m3/s)	0
		B=	100	m
		t (días)	Delta t (días)	Ingreso (días)	B (m)	Ingreso (m3/s)	y (m)	c (m/s)	Delta x (m)	Delta x crít.(m)	K	X	c1	c2	c3	c4	Salida (m3/s)
		0
		1
		2
		3
		4
		5
		6
		7
		8
		9
		10
		11
		12
		13
		14
		15
		16
		17
		18
		19
		20
Transito de la onda de avenida mediante el metodo de Muskingum-Cunge 
Ingreso (m3/s)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	Salida (m3/s)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	dias
Caudal(m3/s)
onda cinematica
		 Solución Numérica de la Onda Cinemática Lineal
		CURSO : 	Hidrologia General WA
		Docente:	Mg. Sc. Abel carmona Arteaga
		Factor ponderación temporal				ϴ=	0.50
		Factor ponderación espacial				φ=	0.70					b=1/β=
		Descenso de caudales en el tiempo y espacio				vel=	1.19	m/s
		Ascenso de caudales en el tiempo y espacio				vel=	1.21	m/s				α=
		Celeridad 				cel=		m/s
		Número Courant				Courant=	1.00
		Incremento de la distancia				∆x=	25.00	m
		Incremeto del tiempo				∆t=		s			a
		Incremeto del tiempo				Dt=	0.20	min			b				s=	0.001
											c				n=	0.035
											d				α=
		Pendiente				S=	0.0010								β=
		Coeficiente de Rugosidad de Manning				n=	0.035				suma
						P=	60.00
		j	Tiempo	X = 0	25	50	75	100	125	150	175	200	225	250	275	300	325	350
				i = 1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
				Ingreso 	Salida 2	Salida 3	Salida 4	Salida 5	Salida 6	Salida 7	Salida 8	Salida 9	Salida 10	Salida 11	Salida 12	Salida 13	Salida 14	Salida 15
			(min)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)	(m3/s)
		1	0.00	0	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
		2	0.20	0
		3	0.40	0
		4	0.60	0
		5	0.80	0
		6	1.00	0
		7	1.20	0
		8	1.40	0
		9	1.60	0
		10	1.80	0
		11	2.00	0
		12	2.20	0
		13	2.40	0
		14	2.60	0
		15	2.80	0
		16	3.00	0
		17	3.20	0
		18	3.40	0
		19	3.60	0
		20	3.80	0
		21	4.00	0
 Solución Numérica de la Onda Cinemática Lineal
Ingreso 	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	Salida 2	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 3	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 4	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 5	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 6	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.60000000000	0001	3.8000000000000012	4.0000000000000009	0	Salida 7	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 8	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 9	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 10	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 11	0	0.2	0.4	0.60000000000000009	0.8	1	1.21.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 12	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 13	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 14	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Salida 15	0	0.2	0.4	0.60000000000000009	0.8	1	1.2	1.4	1.5999999999999999	1.7999999999999998	1.9999999999999998	2.1999999999999997	2.4	2.6	2.8000000000000003	3.0000000000000004	3.2000000000000006	3.4000000000000008	3.600000000000001	3.8000000000000012	4.0000000000000009	0	Tiempo (min)
Caudal (m3/s)