Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Housiadas, Kostas D."
Now showing items 1-13 of 13
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Article
Analytical solution of the flow of a Newtonian fluid with pressure-dependent viscosity in a rectangular duct
Housiadas, Kostas D.; Georgiou, Georgios C. (2018)We derive a fully analytical solution for the steady flow of an isothermal Newtonian fluid with pressure-dependent viscosity in a rectangular duct. The analytical solution for the governing equations is exact (based on the ...
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Article
Asymptotic solutions of weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
Poyiadji, Stella; Housiadas, Kostas D.; Kaouri, Katerina; Georgiou, Georgios C. (2015)We consider both the axisymmetric and planar steady-state Poiseuille flows of weakly compressible Newtonian fluids, under the assumption that both the density and the shear viscosity vary linearly with pressure. The primary ...
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Article
Laminar axisymmetric flow of a weakly compressible viscoelastic fluid
Housiadas, Kostas D.; Georgiou, Georgios C.; Mamoutos, Ioannis G. (2012)The combined effects of weak compressibility and viscoelasticity in steady, isothermal, laminar axisymmetric Poiseuille flow are investigated. Viscoelasticity is taken into account by employing the Oldroyd-B constitutive ...
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Article
Lubrication solution of the axisymmetric Poiseuille flow of a Bingham fluid with pressure-dependent rheological parameters
Housiadas, Kostas D.; Ioannou, Iasonas; Georgiou, Georgios C. (2018)The lubrication flow of a Bingham plastic in long tubes is modeled using the approach proposed by Fusi and Farina (Appl. Math. Comp. 320, 1–15 (2018)). Both the plastic viscosity and the yield stress are assumed to vary ...
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Article
New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
Housiadas, Kostas D.; Georgiou, Georgios C. (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 Poiseuille flows with pressure-dependent wall slip
Panaseti, Pandelitsa; Housiadas, Kostas D.; Georgiou, Georgios C. (2013)The effect of pressure-dependent slip at the wall in steady, isothermal, incompressible Poiseuille flows of a Newtonian liquid is investigated. Exponential dependence of the slip coefficient on the pressure is assumed and ...
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Article
A note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosity
Housiadas, Kostas D.; Georgiou, Georgios C.; Tanner, R. I. (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
Perturbation solution of Poiseuille flow of a weakly compressible Oldroyd-B fluid
Housiadas, Kostas D.; Georgiou, Georgios C. (2011)The isothermal, planar Poiseuille flow of a weakly compressible Oldroyd-B fluid is considered under the assumption that the density of the fluid obeys a linear equation of state. A perturbation analysis for all the primary ...
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Article
Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall
Poyiadji, Stella; Georgiou, Georgios C.; Kaouri, Katerina; Housiadas, Kostas D. (2012)We consider both the planar and axisymmetric steady, laminar Poiseuille flows of a weakly compressible Newtonian fluid assuming that slip occurs along the wall following Navier's slip equation and that the density obeys a ...
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Article
Pressure-driven flow of a Herschel-Bulkley fluid with pressure-dependent rheological parameters
Panaseti, Pandelitsa; Damianou, Yiolanda; Georgiou, Georgios C.; Housiadas, Kostas D. (2018)The lubrication flow of a Herschel-Bulkley fluid in a symmetric long channel of varying width, 2h(x), is modeled extending the approach proposed by Fusi et al. [“Pressure-driven lubrication flow of a Bingham fluid in a ...
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Conference Object
Stability of the annular Poiseuille flow of a Newtonian liquid with slip along the walls
Chatzimina, Maria Evangelia; Georgiou, Georgios C.; Housiadas, Kostas D.; Hatzikiriakos, Savvas George (2008)The annular Poiseuille flow of a compressible Newtonian fluid is studied assuming that slip occurs along the wall. Different slip models relating the wall shear stress to the slip velocity are employed. In the case of ...
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Article
Stability of the annular Poiseuille flow of a Newtonian liquid with slip along the walls
Chatzimina, Maria Evangelia; Georgiou, Georgios C.; Housiadas, Kostas D.; Hatzikiriakos, Savvas George (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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Article
The steady annular extrusion of a Newtonian liquid under gravity and surface tension
Housiadas, Kostas D.; Georgiou, Georgios C.; Tsamopoulos, J. (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 ...