Browsing by Subject "mathematical modeling"
Now showing items 17 of 7

Article
Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times
(2005)We solve the onedimensional 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 HerschelBulkley fluids
(2003)We investigate numerically the interactions of twodimensional jets of Bingham plastic and HerschelBulkley fluids with a vertical surface at a distance from the die exit. This problem simulates the early stages of filling ...

Article
Flow instabilities of HerschelBulkley fluids
(2003)We investigate numerically the interactions of twodimensional jets of Bingham plastic and HerschelBulkley 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 OldroydB fluid with slip along the fixed wall
(1998)We consider the timedependent shear flow of an OldroydB fluid with slip along the fixed wall. Slip is allowed by means of a generic slip equation predicting that the shear stress is a nonmonotonic function of the velocity ...

Article
On numerical simulations of polymer extrusion instabilities
(2002)The objective of this study is mainly to review recent work concerning the numerical modeling of the stickslip 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
(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
(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 ...