Journal ArticleDOI
Analytical solutions for some unsteady flows of fluids with linear dependence of viscosity on the pressure
Constantin Fetecau,Craig Bridges +1 more
TLDR
In this article, exact solutions for unidirectional unsteady flows of incompressible viscous fluids with linear dependence of viscosity on the pressure between two infinite horizontal parallel plates are established.Abstract:
New exact solutions for unidirectional unsteady flows of incompressible viscous fluids with linear dependence of viscosity on the pressure between two infinite horizontal parallel plates are establ...read more
Citations
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Dissertation
Integral transforms and their applications
Abd elgadir,Ahmed Ali Mohammed +1 more
TL;DR: In this paper, the relationship between these transforms and their properties was discussed and some important applications in physics and engineering were given, as well as their properties and applications in various domains.
Journal ArticleDOI
Analytical Solutions of Upper Convected Maxwell Fluid with Exponential Dependence of Viscosity under the Influence of Pressure
TL;DR: In this paper, the authors derived exact solutions in terms of standard Bessel functions and the corresponding non-trivial shear stresses using the Laplace transform technique and suitable changes of the unknown function and the spatial variable in the transform domain.
Journal ArticleDOI
Analytical solutions of upper-convected Maxwell fluid flow with exponential dependence of viscosity on the pressure
TL;DR: In this paper, exact and simple expressions for the permanent solutions corresponding to two oscillatory motions of incompressible upper-convected Maxwell fluids with exponential dependence of viscosity on the pressure between parallel plates have been established using suitable changes of the spatial variable and the unknown function and the Laplace transform technique.
Journal ArticleDOI
Implicit Type Constitutive Relations for Elastic Solids and Their Use in the Development of Mathematical Models for Viscoelastic Fluids
TL;DR: In this paper, the authors propose a new model for non-Newtonian viscoelastic fluids based on implicit constitutive relations, where the left Cauchy-Green tensor is expressed as a function of stress.
Journal ArticleDOI
On the Modified Stokes Second Problem for Maxwell Fluids with Linear Dependence of Viscosity on the Pressure
TL;DR: In this paper , the modified Stokes second problem for upper-convected Maxwell (UCM) fluids with linear dependence of viscosity on the pressure is analytically and numerically investigated.
References
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Journal ArticleDOI
Exact solutions for some simple flows of an Oldroyd-B fluid
TL;DR: In this paper, two simple but elegant solutions for the flow of an Oldroyd-B fluid are presented for flow past an infinite porous plate and find that the problem admits an asymptotically decaying solution in the case of suction at the plate, and that in case of blowing it admits no such solution.
Journal ArticleDOI
Study of the Compressions of Several High Molecular Weight Hydrocarbons
TL;DR: In this article, the Tait equation was used to measure the volume changes due to pressure in high-purity liquid hydrocarbons and two binary mixtures of liquid polycyclic compounds.
Journal ArticleDOI
On implicit constitutive theories for fluids
TL;DR: In this paper, the authors consider generalizations of fluid models wherein the fluid is assumed to be incompressible, but with the viscosity depending on the pressure, and show that a natural setting for the development of such models is a class of implicit constitutive relations, which, in addition to the fluid model described here, provides a means for developing other complex models for viscoelastic fluids which cannot be set within the ambit of classical explicit constitutive relation for the stress in terms of the histories of appropriate kinematical variables.
Journal ArticleDOI
Fourth Paper: Shear Behaviour of Elastohydrodynamic Oil Films at High Rolling Contact Pressures
Karlee Johnson,R. Cameron +1 more
TL;DR: In this article, the authors measured the apparent viscosity of E.H.L. oil films at very low sliding speeds, under isothermal conditions, and found that the variation with temperature at high pressure was exponential with an index similar to that at low pressure.