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Mathematical model of the urinary tract

100%

Horak M. , Kren J.

tom z. 21

85-88

The paper presents the software for the simulation of the urine flow in the urinary tract. This problem represents a high-complicated problem of the interaction between the urine and the wali of the urinary tract. Urine is assumed to be a Newtonian fluid. The flow is considered as non-stationary, isothermal and turbulent. The urethra wali, featuring elastic properties, experiences Iarge displacements and strains. An iterative method based on the uncoupled approach is developed.

ALE method in the fluid-structure interactions

60%

Křen J. , Žán J.

tom z. 19

101-104

The paper deals with an approach to the solution of the coupled fluid-structure interaction problem, where a viscous incompressible fluid and a rigid body-spring system interact with each other. In order to incorporate the effect of the moving surface of the rigid body, the arbitrary Lagrangian-Eulerian formulation is employed as the basis of the finite element spatial discretization. The semi-coupled numerical method is then used for the time integration of the equations of the motion.

A review of deposit velocity prediction methods for medium particle size slurries in pipes

60%

Thomas A.

nr 3

Temperature effect on rheological behavior of Portuguese honeys.

60%

Afonso M. J. , Magalhaes M. , Fernandes L. , Castro M. , Ramalhosa E. C. D.

tom 68

nr 3

In the present work the temperature effect on rheological properties of Portuguese honeys was studied for the fi rst time. Two unifl oral honeys – heather and rosemary – and a polyflower honey were analyzed. All honeys showed flow independence over time and behaved as Newtonian fluids at the studied temperature and shear rate ranges. For all honeys it was found that the viscosity decreased with temperature and the rosemary honey was the one that always presented the lowest viscosity at 30°C (6120 mPa·s), 50°C (603 mPa·s) and 70°C (145 mPa·s). The temperature dependence of viscosity was well described by the T B A K equation. Nevertheless, good regression coefficients were also obtained when fitting the experimental data to the Arrhenius model, showing the rosemary honey to be less temperature sensitive. The results obtained in this study are of great interest to beekeepers and industrials that handle and prepare eatable honey-based products because they will be better informed about the best type of honey to use.

Analytical modelling for Newtonian fluid flow through an elastic tube

51%

Mehdari A. , Agouzoul M. , Hasnaoui M.

tom Vol. 19, No. 1

57--62

The objective of the present work is to develop analytical modelling of an unsteady fluid flow through an elastic tube. The fluid is considered to be Newtonian and incompressible. The cylindrical tube wall boundaries are isotropic. The study provides a review of recent modelling aimed at understanding the effects of fluid parameters over the elastic tube wall behaviour. First of all, the fluid flow is analysed following an asymptotic approach according to a large Reynolds number and a small aspect radio. Second of all, the wall has been assumed to be a thin shell, which generates a small axisymmetric vibration. The mathematical model is developed according the thin shell theory. The dynamic behaviour of the tube wall is represented and discussed.

Review of applied mathematical models for describing the behaviour of aqueous humor in eye structures

41%

Dzierka M. , Jurczak P.

tom Vol. 20, no. 4

757--772

In the paper, currently used methods for modeling the flow of the aqueous humor through eye structures are presented. Then a computational model based on rheological models of Newtonian and non-Newtonian fluids is proposed. The proposed model may be used for modeling the flow of the aqueous humor through the trabecular meshwork. The trabecular meshwork is modeled as an array of rectilinear parallel capillary tubes. The flow of Newtonian and non-Newtonian fluids is considered. As a results of discussion mathematical equations of permeability of porous media and velocity of fluid flow through porous media have been received.