• 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 annular Poiseuille flows of Bingham plastics 

      Chatzimina, Maria Evangelia; Xenophontos, Christos A.; Georgiou, Georgios C.; Argyropaidas, Ioannis; Mitsoulis, Evan C. (2007)
      We numerically solve the cessation of the annular Poiseuille flow of Bingham plastics for various values of the diameter ratio, using the regularized constitutive equation proposed by Papanastasiou and employing finite ...
    • 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. ...
    • Conference Object  

      Development of confined viscoplastic flows with heterogeneous wall slip 

      Panaseti, Pandelitsa; Philippou, Maria; Kountouriotis, Zacharias; Georgiou, Georgios C. (National Technical University of Athens, 2016)
      The steady, pressure-driven flow of a Herschel-Bulkley fluid in a channel is considered assuming that slip occurs on one wall only due to slip heterogeneities. Hence, the velocity profile is allowed to be asymmetric. The ...
    • Article  

      Flow instabilities of Herschel-Bulkley fluids 

      Alexandrou, Andreas N.; Le Menn, P.; Georgiou, Georgios C.; Entov, V. (2003)
      We investigate numerically the interactions of two-dimensional jets of Bingham plastic and Herschel-Bulkley fluids with a vertical surface at a distance from the die exit. This problem simulates the early stages of filling ...
    • Article  

      Flow instabilities of Herschel-Bulkley fluids 

      Alexandrou, Andreas N.; Menn, P. Le; Georgiou, G.; Entov, V. (2003)
      We investigate numerically the interactions of two-dimensional jets of Bingham plastic and Herschel-Bulkley fluids with a vertical surface at a distance from the die exit. This problem simulates the early stages of filling ...
    • 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  

      Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method 

      Syrakos, A.; Georgiou, Georgios C.; Alexandrou, Andreas N. (2013)
      We investigate the performance of the finite volume method in solving viscoplastic flows. The creeping square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised ...
    • Article  

      Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method 

      Syrakos, A.; Georgiou, G. C.; Alexandrou, Andreas N. (2013)
      We investigate the performance of the finite volume method in solving viscoplastic flows. The creeping square lid-driven cavity flow of a Bingham plastic is chosen as the test case and the constitutive equation is regularised ...
    • Conference Object  

      Stopping times in cessation flows of Bingham plastics with slip at the wall 

      Philippou, Maria; Damianou, Y.; Kaoullas, G.; Georgiou, Georgios C. (2012)
      We solve numerically the cessation of axisymmetric Poiseuille flow of a Bingham plastic assuming that slip occurs along the wall. A power-law expression is used to relate the wall shear stress to the slip velocity. The ...
    • Article  

      Unsteady circular Couette flow of a Bingham plastic with the Augmented Lagrangian Method 

      Muravleva, L.; Muravleva, E.; Georgiou, Georgios C.; Mitsoulis, Evan C. (2010)
      Numerical simulations are undertaken for unsteady flows of an ideal Bingham fluid in a circular Couette viscometer. The main difficulties in such simulations are caused by the non-differentiability of the constitutive ...
    • Article  

      Viscoplastic flow development in a channel with slip along one wall 

      Panaseti, Pandelitsa; Georgiou, Georgios C. (2017)
      The flow development of a Herschel–Bulkley fluid in a horizontal channel is considered assuming that slip occurs only on the upper wall due to slip heterogeneities. Hence, the velocity profile is allowed to be asymmetric ...
    • Article  

      Viscoplastic flow development in tubes and channels with wall slip 

      Philippou, Maria; Kountouriotis, Zacharias; Georgiou, Georgios C. (2016)
      The development of Bingham plastic flow in tubes and channels is investigated numerically using the Papanastasiou regularization and finite element simulations. It is assumed that slip occurs along the wall following ...
    • Article  

      Viscoplastic Poiseuille flow in a rectangular duct with wall slip 

      Damianou, Y.; Georgiou, Georgios C. (2014)
      We solve numerically the Poiseuille flow of a Herschel-Bulkley fluid in a duct of rectangular cross section under the assumption that slip occurs along the wall following a slip law involving a non-zero slip yield stress. ...
    • Article  

      Wall shear rates in circular couette flow of a Herschel-Bulkley fluid 

      Chatzimina, Maria Evangelia; Georgiou, Georgios C.; Alexandrou, Andreas N. (2009)
      The objective of this work is to study quantitatively the errors introduced by the standard Newtonian and power-law assumptions used in the determination of the material properties of viscoplastic fluids from circular ...
    • Article  

      Wall shear rates in circular couette flow of a Herschel-Bulkley fluid 

      Chatzimina, M.; Georgiou, G.; Alexandrou, Andreas N. (2009)
      The objective of this work is to study quantitatively the errors introduced by the standard Newtonian and power-law assumptions used in the determination of the material properties of viscoplastic fluids from circular ...