Flow of a Burgers fluid due to time varying loads on deforming boundaries. Hron, J., Rajagopal, K., & Tůma, K. Journal of Non-Newtonian Fluid Mechanics, 210:66-77, Elsevier, 8, 2014.
abstract   bibtex   
In this paper we study three boundary-initial value problems within the context of four rate type viscoelastic constitutive models, the Maxwell model, the Oldroyd-B model, Burgers model and the generalized Burgers model. We consider challenging problems wherein the boundary is deforming with time. The flows lead to a complex system of partial differential equations that require the development of a robust numerical procedure based on the arbitrary Lagrangian-Eulerian method. © 2014 Elsevier B.V.
@article{
 title = {Flow of a Burgers fluid due to time varying loads on deforming boundaries},
 type = {article},
 year = {2014},
 identifiers = {[object Object]},
 keywords = {Burgers,Finite element method,Maxwell,Monolithic ALE method,Oldroyd-B,Rate type fluid},
 pages = {66-77},
 volume = {210},
 websites = {http://linkinghub.elsevier.com/retrieve/pii/S0377025714000883},
 month = {8},
 publisher = {Elsevier},
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 abstract = {In this paper we study three boundary-initial value problems within the context of four rate type viscoelastic constitutive models, the Maxwell model, the Oldroyd-B model, Burgers model and the generalized Burgers model. We consider challenging problems wherein the boundary is deforming with time. The flows lead to a complex system of partial differential equations that require the development of a robust numerical procedure based on the arbitrary Lagrangian-Eulerian method. © 2014 Elsevier B.V.},
 bibtype = {article},
 author = {Hron, J. and Rajagopal, K.R. and Tůma, K.},
 journal = {Journal of Non-Newtonian Fluid Mechanics}
}

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