Analytical solutions for a general mixed boundary value problem associated with motions of fluids with linear dependence of viscosity on the pressure

• Autorzy: Vieru D. , Fetecau C. , Bridges C.

Identyfikatory

DOI

10.2478/ijame-2020-0042

• Języki publikacji: EN

Abstrakty

EN

An unsteady flow of incompressible Newtonian fluids with linear dependence of viscosity on the pressure between two infinite horizontal parallel plates is analytically studied. The fluid motion is induced by the upper plate that applies an arbitrary time-dependent shear stress to the fluid. General expressions for the dimensionless velocity and shear stress fields are established using a suitable change of independent variable and the finie Hankel transform. These expressions, that satisfy all imposed initial and boundary conditions, can generate exact solutions for any motion of this type of the respective fluids. For illustration, three special cases with technical relevance are considered and some important observations and graphical representations are provided. An interesting relationship is found between the solutions corresponding to motions induced by constant or ramptype shear stresses on the boundary. Furthermore, for validation of the results, the steady-state solutions corresponding to oscillatory motions are presented in different forms whose equivalence is graphically proved.

Słowa kluczowe

EN

analytical solutions; mixed boundary value problem; pressure dependent viscosity

PL

lepkość; płyn newtonowski; przepływ płynu lepkiego

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 3
• Strony: 181--197
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Vieru D.

• Technical University of Iasi ROMANIA

autor

Fetecau C.

• Academy of Romanian Scientists, 050094 Bucharest ROMANIA

autor

Bridges C.

• Department of Engineering, Texas Christian University Fort Worth, TX-76129, USA

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)