Integrals of a One-Dimensional Continuity Equation Along the Trajectories of Liquid Planes

• Autorzy: Dowkontt S. , Dowkontt G.
• Języki publikacji: EN

Abstrakty

EN

Authors presents the integration of a one-dimensional continuity equation of a new flow model, along the trajectories of liquid planes. That was made possible by expressing the fluid velocity u with partial derivatives of the function ζ - a function which expresses the position of liquid planes in the flow relative to the positions they occupied when the fluid was at rest. Consequently, the one-dimensional continuity equation has become integrable. This work was signaled in previous authors articles with a description of the process of obtaining formulas, that showing partial derivatives of the function ζ - by integrating a one-dimensional continuum equation along the fluid plane trajectory. In addition, this work is a complement of the previous works, in which the integral of the one-dimensional continuity equation along the straight lines x = const and t = const in the rectangular coordinate system x,t were derived. This work also includes the integral of the differential equation of liquid plane trajectories expressing the function η, which keeps a constant value along these trajectories. In addition, the content of the work consists a necessary explanations and, on the end, additional proof of the derived equations.

Słowa kluczowe

EN

continuity equation; unsteady flow

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2018
• Tom: Vol. 42, No. 4
• Strony: 17--31
• Opis fizyczny: Bibliogr. 3 poz., wykr.

Twórcy

autor

Dowkontt S.

• Warsaw University of Technology, Institute of Machine Design Fundamentals

autor

Dowkontt G.

• Institute of Building, Mechanization and Electrification of Agriculture, Warsaw

Bibliografia

• 1. Dowkontt G. A. (1992): Jednowymiarowy, izentropowy przepływ nieustalony. Próba nowego postawienia zadania, Prace Instytutu Maszyn Przepływowych, zeszyt 93, str. 101-113, Warszawa-Poznań, PWN. 1992
• 2. Dowkontt Sz., Dowkontt G. A. (2015): One-Dimensional Unsteady Flow. A New Presentation of the Issue, Machine Dynamics Research, Warsaw University of Technology, 2015, Vol. 39, No 4.
• 3. Dowkontt Sz., Dowkontt G. A. (2016): Integrals of the One-Dimensional Continuity Equation, Technika Transportu Szynowego “tts”, 12/2016.