hrcak mascot   Srce   HID

Izvorni znanstveni članak
https://doi.org/10.3336/gm.47.2.12

On a free piston problem for Stokes and Navier-Stokes equations

Boris Muha ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Zvonimir Tutek ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Puni tekst: engleski, pdf (204 KB) str. 381-400 preuzimanja: 300* citiraj
APA 6th Edition
Muha, B. i Tutek, Z. (2012). On a free piston problem for Stokes and Navier-Stokes equations. Glasnik matematički, 47 (2), 381-400. https://doi.org/10.3336/gm.47.2.12
MLA 8th Edition
Muha, Boris i Zvonimir Tutek. "On a free piston problem for Stokes and Navier-Stokes equations." Glasnik matematički, vol. 47, br. 2, 2012, str. 381-400. https://doi.org/10.3336/gm.47.2.12. Citirano 26.10.2021.
Chicago 17th Edition
Muha, Boris i Zvonimir Tutek. "On a free piston problem for Stokes and Navier-Stokes equations." Glasnik matematički 47, br. 2 (2012): 381-400. https://doi.org/10.3336/gm.47.2.12
Harvard
Muha, B., i Tutek, Z. (2012). 'On a free piston problem for Stokes and Navier-Stokes equations', Glasnik matematički, 47(2), str. 381-400. https://doi.org/10.3336/gm.47.2.12
Vancouver
Muha B, Tutek Z. On a free piston problem for Stokes and Navier-Stokes equations. Glasnik matematički [Internet]. 2012 [pristupljeno 26.10.2021.];47(2):381-400. https://doi.org/10.3336/gm.47.2.12
IEEE
B. Muha i Z. Tutek, "On a free piston problem for Stokes and Navier-Stokes equations", Glasnik matematički, vol.47, br. 2, str. 381-400, 2012. [Online]. https://doi.org/10.3336/gm.47.2.12

Sažetak
Our goal is to model and analyze a stationary fluid flow through the junction of two pipes in the gravity field. Inside 'vertical' pipe there is a heavy piston which can freely move along the pipe. We are interested in the equilibrium position of the piston in dependence on geometry of junction. Fluid is modeled with the Navier-Stokes equations and the piston is modeled as a rigid body. We formulate corresponding boundary value problem and prove an existence result. The problem is nonlinear even in case of the Stokes equations for fluid flow; we prove non-uniqueness of solutions and illustrate it with some numerical examples. Furthermore, derivation and analysis of the linearized problem are presented.

Ključne riječi
Navier-Stokes equations; free piston problem; fluid-rigid body interaction

Hrčak ID: 93952

URI
https://hrcak.srce.hr/93952

Posjeta: 481 *