Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Newtonian liquids"
Now showing items 1-13 of 13
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Article
Cessation of Newtonian circular and plane Couette flows with wall slip and non-zero slip yield stress
(2017)We solve analytically the cessation flows of a Newtonian fluid in circular and plane Couette geometries assuming that wall slip occurs provided that the wall shear stress exceeds a critical threshold, the slip yield stress. ...
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Article
Compressible viscous flow in slits with slip at the wall
(1994)We study the time-dependent compressible flow of a Newtonian fluid in slits using an arbitrary nonlinear slip law relating the shear stress to the velocity at the wall. This slip law exhibits a maximum and a minimum and ...
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Article
Development lengths in Newtonian Poiseuille flows with wall slip
(2016)The effect of wall slip on the development of planar and axisymmetric Newtonian Poiseuille flows is studied by means of finite element simulations. The Navier slip law is employed. i.e., it is assumed that the slip velocity ...
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Article
New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
(2016)Steady-state, isothermal, Poiseuille flows in straight channels and circular tubes of weakly compressible Newtonian fluids are considered. The major assumption is that both the mass density and the shear viscosity of the ...
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Article
Newtonian flow in a triangular duct with slip at the wall
(2013)We consider the Newtonian Poiseuille flow in a tube whose cross-section is an equilateral triangle. It is assumed that boundary slip occurs only above a critical value of the wall shear stress, namely the slip yield stress. ...
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A note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosity
(2015)We investigate theoretically isothermal, incompressible, creeping Newtonian flows past a sphere, under the assumption that the shear viscosity is pressure-dependent, varying either linearly or exponentially with pressure. ...
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Article
Numerical simulation of the extrusion of strongly compressible Newtonian liquids
(2008)The axisymmetric and plane extrusion flows of a liquid foam are simulated assuming that the foam is a homogeneous compressible Newtonian fluid that slips along the walls. Compressibility effects are investigated using both ...
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Article
Perturbation solution of the compressible annular Poiseuille flow of a viscous fluid
(2010)The isothermal annular Poiseuille flow of a weakly compressible Newtonian liquid with constant shear and bulk viscosities is considered. A linear equation of state is assumed and a perturbation analysis in terms of the ...
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Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids
(2009)Both the planar and axisymmetric isothermal Poiseuille flows of weakly compressible Newtonian liquids with constant shear and bulk viscosities are solved up to the second-order. A linear equation of state is assumed and a ...
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Article
Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method
(2005)A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...
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Article
Stability of the annular Poiseuille flow of a Newtonian liquid with slip along the walls
(2009)The annular Poiseuille flow a Newtonian fluid is studied assuming that slip occurs along the walls. Different slip models relating the wall shear stress to the slip velocity are employed. In the case of non-monotonic slip ...
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Start-up and cessation Newtonian Poiseuille and Couette flows with dynamic wall slip
(2015)Analytical solutions are derived for the start-up and cessation Newtonian Poiseuille and Couette flows with wall slip obeying a dynamic slip model. This slip equation allows for a relaxation time in the development of wall ...
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The steady annular extrusion of a Newtonian liquid under gravity and surface tension
(2000)The steady extrusion of a Newtonian liquid through an annular die and its development outside and away from the die are studied under the influence of gravitational and surface tension forces. The finite element method ...