Modelling of the pathological bile flow in the duct with a calculus

• Autorzy: Kuchumov A. G. , Nyashin Y. I. , Samarcev V. A. , Gavrilov V. A.
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is to develop an analytical model for description of the pathological bile flow in the major duodenal papilla duct with a calculus. The problem is separated into two parts. The first part deals with determination of bile behaviour and constitutive relation parameters of the pathological bile. The viscosity vs. shear rate, the viscosity vs. time, and shear stress vs. shear rate dependences are obtained for different types of bile taken from patients of different age and sex. As a result, the approximation of curves described by the Casson equation was obtained. It was shown that the pathological bile is a thixotropic non-Newtonian fluid. The second part is directly related to modelling of the bile flow in the duct with a calculus. As a result of solving the problem, the bile velocity profile, flow rate vs. time, and bile pressure vs. calculus radius were obtained. The dependences obtained may play an important role in the assessment of an indication to operation.

Słowa kluczowe

EN

biliary system; bile flow; non-Newtonian fluid; Vater’s papilla

PL

przepływ żółci; płyn nienewtonowski

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2013
• Tom: Vol. 15, no. 4
• Strony: 9--17
• Opis fizyczny: Bibliogr. 40 poz., rys. wykr.

Twórcy

autor

Kuchumov A. G.

• Department of Theoretical Mechanics, Perm National Research Polytechnic University, Perm, Russia

autor

Nyashin Y. I.

• Department of Theoretical Mechanics, Perm National Research Polytechnic University, Perm, Russia

autor

Samarcev V. A.

• Department of General Surgery, Academician E.A. Wagner Perm State Medical Academy, Perm, Russia

autor

Gavrilov V. A.

• Department of General Surgery, Academician E.A. Wagner Perm State Medical Academy, Perm, Russia

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