On solution of non-linear differential equation arising in gliding motion of bacteria

T. Hayat; Naseer Ahmad; F. M. Mahomed

doi:10.1016/S0096-3003(02)00934-7

On solution of non-linear differential equation arising in gliding motion of bacteria

T. Hayat
, Naseer Ahmad
, F. M. Mahomed

Quaid-I-Azam University
University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A two-dimensional undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime is constructed. The slime considered is that of the Johnson-Segalman fluid type. The hydrodynamical model assumes the existence of a transverse surface wave propagating in the axial direction. The solution of the non-linear partial differential equation resulting from the balance of momentum and mass is found analytically.

Original language	English
Pages (from-to)	743-752
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	148
Issue number	3
DOIs	https://doi.org/10.1016/S0096-3003(02)00934-7
State	Published - 30 Jan 2004
Externally published	Yes

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10.1016/S0096-3003(02)00934-7

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title = "On solution of non-linear differential equation arising in gliding motion of bacteria",

abstract = "A two-dimensional undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime is constructed. The slime considered is that of the Johnson-Segalman fluid type. The hydrodynamical model assumes the existence of a transverse surface wave propagating in the axial direction. The solution of the non-linear partial differential equation resulting from the balance of momentum and mass is found analytically.",

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AU - Hayat, T.

AU - Ahmad, Naseer

AU - Mahomed, F. M.

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N2 - A two-dimensional undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime is constructed. The slime considered is that of the Johnson-Segalman fluid type. The hydrodynamical model assumes the existence of a transverse surface wave propagating in the axial direction. The solution of the non-linear partial differential equation resulting from the balance of momentum and mass is found analytically.

AB - A two-dimensional undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime is constructed. The slime considered is that of the Johnson-Segalman fluid type. The hydrodynamical model assumes the existence of a transverse surface wave propagating in the axial direction. The solution of the non-linear partial differential equation resulting from the balance of momentum and mass is found analytically.

UR - https://www.scopus.com/pages/publications/0242690989

U2 - 10.1016/S0096-3003(02)00934-7

DO - 10.1016/S0096-3003(02)00934-7

M3 - Article

AN - SCOPUS:0242690989

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SP - 743

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

On solution of non-linear differential equation arising in gliding motion of bacteria

Abstract

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