Abstract
The theory of the oscillation of the whole body of water in the pipeline and surge tank is based upon three fundamental equations: the dynamic equation, the equation of continuity and an equation giving the upward velocity of the water surface in the surge tank.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Kryloff, N., and Bogolioboff, N.: Introduction to non-linear mathematics (Princeton Univ. Press, 1943).
Milne, W. E.: Damped vibrations (Univ. Oregon, 1923).
Reisman, A., and Silvers, A.: ‘On a non-linear differential equation common to several branches of hydraulics,’ J. Hydrology, (1967), 5, pp. 171–178.
Cole, R. S.: ‘The surge-chamber in hydro-electric installations: methods of calculation,’ Instn civ. Engrs, (1927), selected engng papers No. 55.
Mosonyi, E.: Water power development, vol 2, high head plants, etc. (Hungarian Acad. Science, 1960).
Pickford, J. A.: ‘Surge tank design by logarithmic curves,’ Wat. Pwr, (1965), 17, pp. 397–400.
Thoma, D.: Zür Theorie des Wasserschlosses bei selbsttätig geregelten Turbinenaulagen (Oldenbourg, 1910).
Jaeger, C.: Engineering fluid mechanics (Blackie, 1959), p. 239.
Escande, L., and Huron, R.: ‘Stabilité de deux chambres d’équilibre respectivement solidaires des canaux d’amenée et de fruité,’ Houille Blanche, (1953), pp. 647–654.
Meyer, R.: ‘Conditions analogues à celles de Thoma pour une installation hydroélectrique ayant une cheminée d’équilibre à l’amont et une autre à l’aval des turbines,’ Houille Blanche, (1953), pp. 640–646.
Further Reading
Escande, L.: ‘The stability of throttled surge tanks operating with the electric power controlled by the hydraulic power,’ Hydraul. Res. (1963), 1, pp. 4–13.
Escande, L., and Claria, J.: ‘Abaques caracteristiques pour la stabilisation des cheminées d’équilibre par emploi de résistances liquides,’ C. r. Acad. Sci., Paris, (1961), 253, pp. 599–602.
Jaeger, C.: ‘De la stabilité des chambres d’équilibre et des systèmes des chambre d’équilibre,’ Schweiz. Bauztg, (1943), 122, pp. 255–257, 297–300, 314–317, 323–325.
Jaeger, C.: ‘Present trends in surge tank design,’ Proc. Instn mech. Engrs, (1954), 168, pp. 91–103.
Jaeger, C.: ‘A review of surge tank stability criteria,’ J. bas. Engng, Trans. Am. Soc. mech. Engrs, (1960), 82, pp. 765–783.
Kaichev, P.: ‘De la stabilité hydraulique des chambres d’équilibre dans certains cas complexes,’ Houille Blanche, (1960), pp. 678–689.
Mosonyi, E., and Nagy, L.: ‘Stability investigations by computer,’ Wat. Pwr, (1964), 16, pp. 312–314.
Paynter, H. M.: ‘Electrical analogies and electronic computers: surge and water hammer problems,’ Trans. Am. Soc. civ. Engrs, (1953), 118, pp. 962–989.
Stucky, A.: Cours d’aménagement des chutes d’eau. Chambres d’équilibre (Ecole Polyt. Univ. Lausanne, 1951).
Valvis, P. G.: ‘Location of a surge tank in relation to speed regulation,’ Wat. Pwr, (1967), 19, pp. 463–468, 503–506, 514.
Zienkiewicz, O. C.: ‘Stability of parallel-branch and differential surge tanks,’ Proc. Instn mech. Engrs, (1956), 170, pp. 265–271.
Author information
Authors and Affiliations
Copyright information
© 1969 John Pickford
About this chapter
Cite this chapter
Pickford, J. (1969). Theory of Mass Oscillation. In: Analysis of Surge. Macmillan Civil Engineering Hydraulics. Palgrave, London. https://doi.org/10.1007/978-1-349-00160-6_10
Download citation
DOI: https://doi.org/10.1007/978-1-349-00160-6_10
Publisher Name: Palgrave, London
Print ISBN: 978-1-349-00162-0
Online ISBN: 978-1-349-00160-6
eBook Packages: EngineeringEngineering (R0)