Some exact solutions for Oldroyd-B fluid due to time dependent prescribed shear stress

• Autorzy: Jamil M. , Fetecau C. , Rana M.

Warianty tytułu

PL

Wybrane rozwiązania dokładne dla cieczy Oldroyda-B przy zadanej funkcji naprężeń stycznych zależnej od czasu

• Języki publikacji: EN

Abstrakty

EN

The velocity field and the shear stress corresponding to motion of an Oldroyd-B fluid between two infinite coaxial circular cylinders are established by means of the Hankel transforms. The flow of the fluid is produced due to the time dependent axial shear stress applied on the boundary of the inner cylinder. The exact solutions, presented under a series form, can easily be specialized to give similar solutions for the Maxwell, second grade and Newtonian fluids performing the same motion. Finally, some characteristics of the motion as well as the influence of the material constants on the behavior of the fluid are underlined by graphical illustrations.

PL

Pole prędkości i pole rozkładu naprężeń stycznych wywołanych ruchem cieczy Oldroyda-B umieszczonej między dwoma koncentrycznymi cylindrami wyznaczono za pomocą transformaty Hankela. Przepływ cieczy wywołano zależnym od czasu naprężeniem stycznym od zewnętrznej ściany cylindra wewnętrznego. Uzyskane rozwiązanie dokładne, ujęte w formie rozwinięcia w szereg, może łatwo być zastosowane dla przypadków szczególnych cieczy Maxwella, cieczy drugiego stopnia i nienewtonowskich przy tych samych warunkach przepływu. Na zakończenie rozważań, przedstawiono graficznie charakterystyki ruchu cieczy i wpływ parametrów materiałowych na jej zachowanie.

Słowa kluczowe

EN

Oldroyd-B fluid; velocity field; time-dependent shear stress; Hankel transform

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2012
• Tom: Vol. 50 nr 2
• Strony: 549--562
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Jamil M.

autor

Fetecau C.

autor

Rana M.

• Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan and NED University of Engineering and Technology, Department of Mathematics, Karachi, Pakistan,

Bibliografia

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