Object
Title: Analytical solutions for a general mixed boundary value problem associated with motions of fluids with linear dependence of viscosity on the pressure
Contributor:
Group publication title:
Abstract:
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 finite 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 ramp-type 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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Format:
Resource Identifier:
DOI:
Pages:
Source:
IJAME, volume 25, number 3 (2020)
Language:
License:
License CC BY-NC-ND 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2020)
Last modified:
Jul 6, 2023
In our library since:
Feb 24, 2023
Number of object content hits:
81
All available object's versions:
https://zbc.uz.zgora.pl/publication/78140
Show description in RDF format:
Show description in OAI-PMH format:
-
International Journal of Applied Mechanics and Engineering (IJAME)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 28 (2023)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 27 (2022)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 26 (2021)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 2 (2020)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 3 (2020)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 3 (2020) - Contents
- Analysis of structural concrete bar members based on secant stiffness methods
- Effect of rayleigh number on internal eccentricity in a heated horizontal elliptical cylinder to its coaxial square enclosure
- A new approach for study the electrohydrodynamic oscillatory flow through a porous medium in a heating compliant channel
- Numerical investigation on the transition of fluid flow characteristics through a rotating curved duct
- Hybrid sandwich panels: A review
- Heat and mass transfer effects on MHD flow past an inclined porous plate in the presence of chemical reaction
- Effect of convective heat and mass conditions in magnetohydrodynamic boundary layer flow with joule heating and thermal radiation
- Liquid vibrations in cylindrical tanks with and without baffles under lateral and longitudinal excitations
- Numerical computation of low Reynolds number viscous flow past bluff bodies
- Analysis of time-fractional heat transfer and its thermal deflection in a circular plate by a moving heat source
- Application of fractional order theory of thermoelasticity in an elliptical disk and associated thermal stresses
- Analytical solutions for a general mixed boundary value problem associated with motions of fluids with linear dependence of viscosity on the pressure
- Effect of thermal radiation and chemical reaction on MHD flow of blood in stretching permeable vessel
- Stress and displacement intensity factors of cracks in anisotropic media
- Hydrodynamic forces on a submerged horizontal circular cylinder in uniform finite depth ice covered water
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 4 (2020)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 25, number 1 (2020)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
-
International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
