TU Darmstadt / ULB / TUbiblio

Gliding motion of bacteria on power-law slime

Wang, Yongqi and Hayat, Tasawar and Siddiqui, Abdul Majeed :
Gliding motion of bacteria on power-law slime.
[Online-Edition: http://onlinelibrary.wiley.com/doi/10.1002/mma.571/abstract]
In: Mathematical Methods in the Applied Sciences, 28 (3) pp. 329-347. ISSN 0170-4214
[Article] , (2005)

Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.571/abstract

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.

Item Type: Article
Erschienen: 2005
Creators: Wang, Yongqi and Hayat, Tasawar and Siddiqui, Abdul Majeed
Title: Gliding motion of bacteria on power-law slime
Language: English
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.

Journal or Publication Title: Mathematical Methods in the Applied Sciences
Volume: 28
Number: 3
Publisher: John Wiley and Sons
Uncontrolled Keywords: power-law fluid; non-Newtonian fluid; shear-thinning; shear-thickening
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 17:58
DOI: 10.1002/mma.571
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.571/abstract
Additional Information:

doi:10.1002/mma.571

Export:

Optionen (nur für Redakteure)

View Item View Item