Numerické simulace deformací visko-elastických materiálů, zejména asfaltu
In this thesis we deal with numerical simulations for flows of viscoelastic fluids. First, we introduce two models for viscoelastic fluids: (i) the Oldroyd-B, which is a classical model for viscoelastic fluids and (ii) a new nonlinear model which might be thought of as a generalization of Oldroyd-B...
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2007
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Online Access: | http://www.nusl.cz/ntk/nusl-279012 |
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ndltd-nusl.cz-oai-invenio.nusl.cz-2790122017-06-27T04:40:30Z Numerické simulace deformací visko-elastických materiálů, zejména asfaltu Numerical simulations of flows of visco-elastic fluid-like materials, as asphalt in particular Rajagopal, K.R. Kratochvíl, Jan Málek, Josef In this thesis we deal with numerical simulations for flows of viscoelastic fluids. First, we introduce two models for viscoelastic fluids: (i) the Oldroyd-B, which is a classical model for viscoelastic fluids and (ii) a new nonlinear model which might be thought of as a generalization of Oldroyd-B to the case of large elastic deformations. Then, the flow at three different situations is discussed. The first of them is stress relaxation in parallel plate flow, which is an example of a 1D problem. The second one is a 4:1 planar contraction flow, which is a standard benchmark for viscoelastic flows. The third problem is stress relaxation in axially symmetric cylinder flow, which is solved as a 1D as well as a 2D problem. If it is possible, the problems are solved analytically, otherwise they are solved numerically with the aid of the finite element method using the software Comsol Multiphysics 3.3. Experimental data that document the stress relaxation of asphalt are available in the cylindrical geometry. Thus, finally, these data are fitted using both considered models. 2007 info:eu-repo/semantics/masterThesis http://www.nusl.cz/ntk/nusl-279012 cze info:eu-repo/semantics/restrictedAccess |
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In this thesis we deal with numerical simulations for flows of viscoelastic fluids. First, we introduce two models for viscoelastic fluids: (i) the Oldroyd-B, which is a classical model for viscoelastic fluids and (ii) a new nonlinear model which might be thought of as a generalization of Oldroyd-B to the case of large elastic deformations. Then, the flow at three different situations is discussed. The first of them is stress relaxation in parallel plate flow, which is an example of a 1D problem. The second one is a 4:1 planar contraction flow, which is a standard benchmark for viscoelastic flows. The third problem is stress relaxation in axially symmetric cylinder flow, which is solved as a 1D as well as a 2D problem. If it is possible, the problems are solved analytically, otherwise they are solved numerically with the aid of the finite element method using the software Comsol Multiphysics 3.3. Experimental data that document the stress relaxation of asphalt are available in the cylindrical geometry. Thus, finally, these data are fitted using both considered models. |
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Rajagopal, K.R. |
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Rajagopal, K.R. Kratochvíl, Jan |
author |
Kratochvíl, Jan |
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Kratochvíl, Jan Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
author_sort |
Kratochvíl, Jan |
title |
Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
title_short |
Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
title_full |
Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
title_fullStr |
Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
title_full_unstemmed |
Numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
title_sort |
numerické simulace deformací visko-elastických materiálů, zejména asfaltu |
publishDate |
2007 |
url |
http://www.nusl.cz/ntk/nusl-279012 |
work_keys_str_mv |
AT kratochviljan numerickesimulacedeformaciviskoelastickychmaterialuzejmenaasfaltu AT kratochviljan numericalsimulationsofflowsofviscoelasticfluidlikematerialsasasphaltinparticular |
_version_ |
1718468617560915968 |