23 citations · 23 across the 2 of their papers we have counts for
6 papers
On the application of simplified rheological models of fluid in the hydraulic fracture problems
Michal Wrobel
In this paper we analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. For the PKN fracture geometry we consider three different rheological mod…
On the influence of fluid rheology on hydraulic fracture
Michal Wrobel, Gennady Mishuris, Panos Papanastasiou
We analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. Fluid viscosity is described by the four-parameter truncated power-law model. By varyin…
Redirection of a crack driven by viscous fluid taking into account plastic effects in the process zone
M. Wrobel, A. Piccolroaz, P. Papanastasiou +1
In this paper the problem of redirection of a crack driven by viscous fluid under mixed mode loading is considered. The loading includes the classical Modes I - III and the hydraul…
An efficient algorithm of solution for the flow of generalized Newtonian fluid in channels of simple geometries
Michal Wrobel
In this paper a problem of stationary flow of generalized Newtonian fluid in a thin channel is considered. An efficient algorithm of solution is proposed that includes a flexible p…
Mathematical modelling of Solid Oxide Fuel Cells revisited -- a modified formulation of the problem
Michal Wrobel, Grzegorz Brus
In the paper a mathematical model of the PEN structure (positive electrode - electrolyte - negative electrode) of the Solid Oxide Fuel Cell (SOFC) is analyzed. It is proved that cl…
Redirection of a crack driven by viscous fluid
Monika Perkowska, Andrea Piccolroaz, Michal Wrobel +1
As shown by Wrobel et al. (2017), the hydraulically induced tangential traction on fracture walls changes local displacement and stress fields. This resulted in the formulation of…