Biomechanics of bacterial gliding motion with Oldroyd-4 constant slime

Microscale gliders are regularly affected by the local surrounding environment, such as liquid rheology and physical (nearby) boundaries. This article focuses on the numerical simulations of bacterial speed over a non-Newtonian slime and its power expenditure. The flow rate generated by the swimmer,...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2023-06, Vol.232 (6), p.915-925
Main Authors: Asghar, Zeeshan, Shatanawi, Wasfi, Hussain, Sajid
Format: Article
Language:English
Subjects:
Algorithms
Atomic
Bacteria
Biomechanics
Boundary value problems
Classical and Continuum Physics
Condensed Matter Physics
Equilibrium conditions
Finite difference method
Flow velocity
Fluid-Fluid and Fluid-Soft Matter Interaction
Materials Science
Mathematical models
Measurement Science and Instrumentation
Molecular
Newtonian fluids
Non Newtonian fluids
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Rheological properties
Rheology
Shear stress
Slime
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Summary:Microscale gliders are regularly affected by the local surrounding environment, such as liquid rheology and physical (nearby) boundaries. This article focuses on the numerical simulations of bacterial speed over a non-Newtonian slime and its power expenditure. The flow rate generated by the swimmer, slime speed, shear stress and level curves are also points of interest. To fulfill the purpose, Oldroyd-4 constant model is assumed over a rigid boundary. A complex undulating sheet is approximated as a bacterial surface. Since a slime (present below the undulating sheet) is a non-Newtonian fluid, a modeling approach of peristaltic flow problem is adopted, and dynamic equilibrium conditions are implemented for steady motion. Implicit finite difference method (FDM) is employed to calculate the numerical solution of reduced boundary value problem. To compute the flow rate and cell speed, Broyden’s root finding algorithm is integrated with FDM. These computed values are further utilized to perceive the behavior of work done, shear stress at the surface of bacteria, velocity of slime and streamlines.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjs/s11734-022-00723-2