- Tytuł:
- 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. - Powiązania:
- https://bibliotekanauki.pl/articles/1839812.pdf
- Data publikacji:
- 2020
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
lepkość
płyn newtonowski
przepływ płynu lepkiego
analytical solutions
mixed boundary value problem
pressure dependent viscosity - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2020, 25, 3; 181-197
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł