On the condition of continuity in hydrodynamics
Authors:
Abstract
The condition of continuity (continuity) was first given for the general case in analytical form by Euler, and then later in a different form by Lagrange. In this paper, the motion of the medium is described by means of Euler variables, which are related by Taylor series to Lagrange variables. The first part of the paper relates to a one-component fluid, the second to a two-component fluid.
Область исследования:
Mining
Funding:
None
References
- Landau L. D., Lifshitz E. M. Mechanics of Continuous Media. Gostekhizdat, 1954.
- Slezkin A. N. Differential equations of motion of pulp. DAN SSSR, 1952, vol. XXXVI, No. 2.
- Rakhmatulin Kh. A. Fundamentals of gas dynamics of interpenetrating motions of compressible media. Prikl. matem. i mekhan., 1956, vol. XX, issue 2.
- Shkadov R. I. On the motion of suspended particles in a gas flow. Zapiski Gornogo Instituta, 1961, vol. XXXVII, No. 3.
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