Browsing by Subject "mathematical modeling"

Now showing items 1-7 of 7

    • 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  

      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  

      Linear stability diagrams for the shear flow of an Oldroyd-B fluid with slip along the fixed wall 

      Fyrillas, Marios M.; Georgiou, Georgios C. (1998)
      We consider the time-dependent shear flow of an Oldroyd-B fluid with slip along the fixed wall. Slip is allowed by means of a generic slip equation predicting that the shear stress is a non-monotonic function of the velocity ...
    • Article  

      On numerical simulations of polymer extrusion instabilities 

      Achilleos, Evdokia C.; Georgiou, Georgios C.; Hatzikiriakos, Savvas George (2002)
      The objective of this study is mainly to review recent work concerning the numerical modeling of the stick-slip and gross melt fracture polymer extrusion instabilities. Three different mechanisms of instability are discussed: ...
    • Article  

      Remodeling of extracellular matrix due to solid stress accumulation during tumor growth 

      Pirentis, A. P.; Polydorou, C.; Papageorgis, P.; Voutouri, C.; Mpekris, F.; Stylianopoulos, T. (2015)
      Solid stresses emerge as the expanding tumor displaces and deforms the surrounding normal tissue, and also as a result of intratumoral component interplay. Among other things, solid stresses are known to induce extensive ...
    • Article  

      The Solid Mechanics of Cancer and Strategies for Improved Therapy 

      Stylianopoulos, T. (2017)
      Tumor progression and response to treatment is determined in large part by the generation of mechanical stresses that stem from both the solid and the fluid phase of the tumor. Furthermore, elevated solid stress levels can ...