Mathematical model of the male urinary tract. (English) Zbl 1008.92012
Summary: The paper presents a simplified mathematical model of the interaction between the urine flow and the male urethra and bladder. Urine is assumed to be a Newtonian fluid. The flow is considered as non-stationary, isothermal and turbulent. The urethra wall, featuring elastic properties, experiences large displacements and strains. The dynamic forces are included in the urethra wall motion. When fully extended the urethra attains the shape of an axisymmetric tube. An iterative method based on the uncoupled approach is developed.
MSC:
| 92C35 | Physiological flow |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
interaction; urine; urethra; bladder; uncoupled method; nonlinear; continuum; equation of motion; FEMReferences:
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