Geoscience Reference
In-Depth Information
in which all inflow and outflow rates are grouped in
Q
i
and
Q
e
, respectively, and
S
rep-
resents the stored water volume in the flow domain under consideration. By analogy with
(5.101) and (5.102), a kinematic relationship between
S
and the flow rate
Q
i
and /or
Q
e
is then invoked to allow solution of Equation (5.125) (i.e. (1.10)). Applications of this
concept will be presented in Chapters 6 and 7.
REFERENCES
Abbott, M. B. (1975). Method of characteristics. In
Unsteady Flow in Open Channels
, ed. K. Mahmood
and V. Yevjevich, Vol. I, chapter 3. Fort Collins, CO: Water Resources Pubs., pp. 63-88.
Appleby, F. W. (1954). Runoff dynamics - a heat conduction analogue of storage flow in channel
networks, Assemblee Generale de Rome, 1954, Internat. Assoc. Scient. Hydrology, Publication
No. 38, pp. 338-348.
Bakhmeteff, B. A. (1941). Coriolis and the energy principle in hydraulics. In
Theodore Von Karman
Anniversary Volume: Contributions to Applied Mechanics
. Pasadena: Calif. Inst. Technology,
pp. 59-65.
Barnes, H. H. (1967).
Roughness characteristics of natural channels
. Geol. Surv., Water-Supply Paper
1849, 213 pp.
Brutsaert, W. (1972). Discussion of “Mechanics of sheet flow under simulated rainfall”.
J. Hydraul.
Div., Proc. ASCE
,
98
(HY2), 406-407.
(1973). Review of Green's functions for linear open channel.
J. Engin. Mechanics Div., Proc. ASCE
,
99
(EM6), 1247-1257.
(1982).
Evaporation into the Atmosphere: Theory, History and Applications.
Boston, MA: D Reidel
Publishing Company.
(1993). Horton, pipe hydraulics and the atmospheric boundary layer.
Bull. Amer. Met. Soc.
,
74
,
1131-1139.
Carslaw, H. S. and Jaeger, J. C. (1986).
Conduction of Heat in Solids
, second edition. Oxford:
Clarendon Press.
Chow, V. T. (1959).
Open-Channel Hydraulics
. New York: McGraw-Hill.
Cunge, J. A., Holley, F. M. and Verwey, A. (1980).
Practical Aspects of Computational River
Hydraulics
. Boston, MA: Pitman Advanced Pub. Program.
Daubert, A. (1964). Quelques aspects de la propagation des crues.
La Houille Blanche
,
19
(3), 341-346.
Deymie, P. (1939). Propagation d'une intumescence allongee (Probleme aval), in
Proc. Fifth Internat.
Congress for Applied Mechanics
, Cambridge, MA. New York: John Wiley and Sons, Inc.,
pp. 537-544.
Dooge, J. C. I. (1973).
Linear Theory of Hydrologic Systems
, Tech. Bull. 1468, Agr. Res. Serv., US
Dept. Agric.
Dooge, J. C. I. and Harley, B. M. (1967). Linear routing in uniform open channels. In
Proc. Internat.
Hydrology Symposium
, Vol. 1. Fort Collins: Colorado State University, pp. 57-63.
Dupuit, J. (1863).
Etudes Theoriques et Pratiques sur le Mouvement des Eaux Dans les Canaux
Decouverts et a Travers les Terrains Permeables
, 2me edition. Paris: Dunod.
Forchheimer, Ph. (1930).
Hydraulik
, 3. Aufl. Leipzig and Berlin: B. G. Teubner.
Hayami, S. (1951). On the propagation of flood waves. Bulletin No. 1. Disaster Prevention Research
Institute, Kyoto University, Kyoto, Japan.
Henderson, F. M. and Wooding, R. A. (1964). Overland flow and groundwater flow from a steady
rainfall of finite duration.
J. Geophys. Res.
,
69
, 1531-1540.