Wang, Yongqi ; Hayat, Tasawar ; Siddiqui, Abdul Majeed (2005)
Gliding motion of bacteria on power-law slime.
In: Mathematical Methods in the Applied Sciences, 28 (3)
doi: 10.1002/mma.571
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The present investigation deals with an undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime. The slime being the viscoelastic material is considered as a power-law fluid. A hydrodynamical model of motility involving an undulating cell surface which transmits stresses through a layer of exuded slime to the substratum is examined. The non-linear differential equation resulting from the balance of momentum and mass is solved numerically by a finite difference method with an iteration technique. The manner in which the various exponent values of the power-law flow affect the structure of the boundary layer is delineated. A comparison is made of the power-law fluid with the Newtonian fluid. For the power-law fluid with respect to different power-law exponent values, shear-thinning and shear-thickening effects can be observed, respectively.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2005 |
| Autor(en): | Wang, Yongqi ; Hayat, Tasawar ; Siddiqui, Abdul Majeed |
| Art des Eintrags: | Bibliographie |
| Titel: | Gliding motion of bacteria on power-law slime |
| Sprache: | Englisch |
| Publikationsjahr: | 2005 |
| Verlag: | John Wiley and Sons |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Mathematical Methods in the Applied Sciences |
| Jahrgang/Volume einer Zeitschrift: | 28 |
| (Heft-)Nummer: | 3 |
| DOI: | 10.1002/mma.571 |
| URL / URN: | http://onlinelibrary.wiley.com/doi/10.1002/mma.571/abstract |
| Kurzbeschreibung (Abstract): | The present investigation deals with an undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime. The slime being the viscoelastic material is considered as a power-law fluid. A hydrodynamical model of motility involving an undulating cell surface which transmits stresses through a layer of exuded slime to the substratum is examined. The non-linear differential equation resulting from the balance of momentum and mass is solved numerically by a finite difference method with an iteration technique. The manner in which the various exponent values of the power-law flow affect the structure of the boundary layer is delineated. A comparison is made of the power-law fluid with the Newtonian fluid. For the power-law fluid with respect to different power-law exponent values, shear-thinning and shear-thickening effects can be observed, respectively. |
| Freie Schlagworte: | power-law fluid; non-Newtonian fluid; shear-thinning; shear-thickening |
| Zusätzliche Informationen: | doi:10.1002/mma.571 |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 24 Aug 2011 17:58 |
| Letzte Änderung: | 05 Dez 2017 15:15 |
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