• 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 ...
    • Conference Object  

      Cessation flows of bingham plastics with slip at the wall 

      Damianou, Y.; Philippou, Maria; Kaoullas, G.; Georgiou, Georgios C. (National Technical University of Athens, 2013)
      We use finite elements in space and a fully implicit scheme in time in order to solve the cessation of axisymmetric Poiseuille flow of a Bingham plastic under the assumption that slip occurs along the wall. The Papanastasiou ...
    • Article  

      Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times 

      Chatzimina, Maria Evangelia; Georgiou, Georgios C.; Argyropaidas, Ioannis; Mitsoulis, Evan C.; Huilgol, R. R. (2005)
      We solve the one-dimensional cessation Couette and Poiseuille flows of a Bingham plastic using the regularized constitutive equation proposed by Papanastasiou and employing finite elements in space and a fully implicit ...
    • Article  

      Cessation of viscoplastic Poiseuille flow in a square duct with wall slip 

      Damianou, Y.; Kaoullas, G.; Georgiou, Georgios C. (2015)
      We solve numerically the cessation of the pressure-driven Poiseuille flow of a Bingham plastic under the assumption that slip occurs along the wall following a generalized Navier-slip law involving a non-zero slip yield ...
    • Article  

      Cessation of viscoplastic Poiseuille flow with wall slip 

      Damianou, Y.; Philippou, Maria; Kaoullas, G.; Georgiou, Georgios C. (2014)
      We solve numerically the cessation of axisymmetric Poiseuille flow of a Herschel-Bulkley fluid under the assumption that slip occurs along the wall. The Papanastasiou regularization of the constitutive equation is employed. ...
    • Article  

      Combined effects of compressibility and slip in flows of a Herschel-Bulkley fluid 

      Damianou, Y.; Georgiou, Georgios C.; Moulitsas, I. (2013)
      In this work, the combined effects of compressibility and slip in Poiseuille flows of Herschel-Bulkley fluids are investigated. The density is assumed to obey a linear equation of state, and wall slip is assumed to follow ...
    • Article  

      Development lengths in Newtonian Poiseuille flows with wall slip 

      Kountouriotis, Zacharias; Philippou, Maria; Georgiou, Georgios C. (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 ...
    • Article  

      Incompressible Poiseuille flows of Newtonian liquids with a pressure-dependent viscosity 

      Kalogirou, Anna; Poyiadji, Stella; Georgiou, Georgios C. (2011)
      The pressure-dependence of the viscosity becomes important in flows where high pressures are encountered. Applications include many polymer processing applications, microfluidics, fluid film lubrication, as well as simulations ...
    • Article  

      Mechanism for extrusion instabilities in polymer melts 

      Fyrillas, Marios M.; Georgiou, Georgios C.; Vlassopoulos, Dimitris; Hatzikiriakos, Savvas George (1999)
      A mechanism for explaining some of the instabilities observed during the extrusion of polymer melts is further explored. This is based on the combination of non-monotonic slip and elasticity, which permits the existence ...
    • Article  

      Newtonian flow in a triangular duct with slip at the wall 

      Georgiou, Georgios C.; Kaoullas, G. (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. ...
    • 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 ...
    • Article  

      Newtonian Poiseuille flows with slip and non-zero slip yield stress 

      Kaoullas, G.; Georgiou, Georgios C. (2013)
      The Newtonian Poiseuille flow is considered for various geometries, under the assumption that wall slip occurs above a critical value of the wall shear stress known as, the slip yield stress. In the axisymmetric and planar ...
    • Article  

      Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method 

      Muravleva, L.; Muravleva, E.; Georgiou, Georgios C.; Mitsoulis, Evan C. (2010)
      The augmented Lagrangian/Uzawa method has been used to study benchmark one-dimensional cessation flow problems of a Bingham fluid, such as the plane Couette flow, and the plane, round, and annular Poiseuille flows. The ...
    • 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 ...
    • Article  

      Perturbation solution of the compressible annular Poiseuille flow of a viscous fluid 

      Joseph, S.; Joseph, L.; Georgiou, Georgios C. (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 ...
    • Article  

      Perturbation solutions of Poiseuille flows of weakly compressible Newtonian liquids 

      Taliadorou, Eleni G.; Neophytou, Marios; Georgiou, Georgios C. (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 ...
    • 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 ...
    • Article  

      Slip yield stress effects in start-up Newtonian Poiseuille flows 

      Kaoullas, G.; Georgiou, Georgios C. (2013)
      Analytical solutions are derived for various start-up Newtonian Poiseuille flows assuming that slip at the wall occurs when the wall shear stress exceeds a critical value, known as the slip yield stress. Two distinct regimes ...
    • 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 ...
    • Article  

      Start-up and cessation Newtonian Poiseuille and Couette flows with dynamic wall slip 

      Kaoullas, G.; Georgiou, Georgios C. (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 ...