Velike deformacije nelinearno elastičnih cevi pri pretoku nenewtonskih tekočin

zaključna naloga Razvojno raziskovalnega programa I. stopnje Strojništvo

Andrej Trofenik (Author), Miha Brojan (Mentor)

Abstract

V nalogi obravnavamo pretoka fluida skozi elastično cev, pri čemer primerjamo razmere pri toku newtonske in nenewtonske tekočine. Ko fluid teče po cevi, se zaradi pretoka in same lastnosti fluida ustvarja tlačna razlika med vhodom in izhodom iz cevi. Zaradi tega se v cevi pojavijo napetosti, ki privedejo do njene deformacije. V prvem delu smo izpeljali deformacijski enačbi za fiksno vpeto in za prosto cev iz nelinearno elastičnega materiala, nato pa še pretočni enačbi za newtonsko in nenewtonsko tekočino po cevi krožnega prereza. Zatem smo s pomočjo programa, napisanega v jeziku Python, izračunali deformacije dveh različno vpetih cevi za dva različna materiala: gumo in tkivo človeške vene, pri čemer smo za newtonsko tekočino vzeli materialne lastnosti vode, za nenewtonsko tekočino pa podatke za kri. Sledila je še primerjava profila hitrosti vode in krvi, kjer smo ugotovili, da je obnašanje toka fluida močno pogojeno z viskoznostjo le tega.

Keywords

diplomske naloge;nelinearno elastični materiali;obremenitev s tlakom;velike deformacije;newtonska tekočina;nenewtonska tekočina;pretok fluida;

Data

Language:	Slovenian
Year of publishing:	2020
Typology:	2.11 - Undergraduate Thesis
Organization:	UL FS - Faculty of Mechanical Engineering
Publisher:	[A. Trofenik]
UDC:	539.3:532.11:532.5(043.2)
COBISS:	32256771
Views:	684
Downloads:	127
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Large deformations of nonlinearly elastic tubes due to the flow of non-Newtonian fluids
Secondary abstract:	We investigate the flow of fluid through an elastic tube and compare the flow of a Newtonian and a non-Newtonian fluid. When fluid flows through a pipe, a pressure difference between the inlet and outlet of the pipe is created due to the flow and the viscosity of the fluid itself. As a result, stresses are induced in the pipe that lead to its deformation. We first derived the deformation equations for a fixed and a freely-deformable, nonlinearly elastic tube, and second the flow equations for the Newtonian and non-Newtonian fluids in tubes with a circular cross-section. Using a program, written in Python, we calculated the deformations of two differently clamped tubes for two different materials: rubber and human vein tissue, using water and blood as a reference for the Newtonian and non-Newtonian fluid, respectively. We later compared the velocity profile of water and blood, where we established the behaviour of the fluid is strongly dependent on its viscosity.
Secondary keywords:	thesis;nonlinearly elastic materials;pressure load;large deformations;Newtonian fluid;non-Newtonian fluid;fluid flow;
Type (COBISS):	Final paper
Study programme:	0
Embargo end date (OpenAIRE):	1970-01-01
Thesis comment:	Univ. v Ljubljani, Fak. za strojništvo
Pages:	XIII, 28 f.
ID:	12033088