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On the Modeling of the Synovial Fluid
Joint Authors
Rajagopal, Kumbakonam R.
Hron, J.
Pustějovská, P.
Málek, J.
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-13
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Synovial fluid is a polymeric liquid which generally behaves as a viscoelastic fluid due to the presence of hyaluronan molecules.
We restrict ourselves to the regime in which the fluid responds as a viscous fluid.
A novel generalized power-law fluid model is developed wherein the power-law exponent depends on the concentration of the hyaluronan.
Such a model will be adequate to describe the flows of such fluids as long as they are not subjected to instantaneous stimuli.
Assuming two different structures for the form of the power law exponent, both in keeping with physical expectations, we numerically solve for the flow of the synovial fluid (described by the constraint of incompressibility, the balance of linear momentum, and a convection-diffusion equation for the concentration of hyaluronan) in a rectangular cavity.
The solutions obtained with our models are compared with the predictions of those based on a model that has been used in the past to describe synovial fluids.
While all the three models seem to agree well with available experimental results, one of the models proposed by us seems to fit the data the best; it would, however, be hasty to pass judgment based on this one particular experimental correlation.
American Psychological Association (APA)
Hron, J.& Málek, J.& Pustějovská, P.& Rajagopal, Kumbakonam R.. 2010. On the Modeling of the Synovial Fluid. Advances in Tribology،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-446730
Modern Language Association (MLA)
Hron, J.…[et al.]. On the Modeling of the Synovial Fluid. Advances in Tribology No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-446730
American Medical Association (AMA)
Hron, J.& Málek, J.& Pustějovská, P.& Rajagopal, Kumbakonam R.. On the Modeling of the Synovial Fluid. Advances in Tribology. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-446730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446730