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Swimming sheet near a plane surfactant-laden interface
Vaseem A Shaik1, Arezoo M Ardekani1
1School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA.
Physical Review. E
|April 20, 2019
Summary
We studied the velocity of a swimming sheet near a surfactant interface. The sheet's speed depends nonmonotonically on the Marangoni number (Ma) and surface Péclet number (Pe_s), influenced by wave types.
Area of Science:
- Fluid dynamics
- Soft matter physics
- Interfacial phenomena
Background:
- Understanding microswimmer dynamics near interfaces is crucial.
- Surfactant-laden interfaces significantly alter fluid flow and particle motion.
- The interplay between interface properties and swimmer kinematics is complex.
Purpose of the Study:
- To analyze the swimming velocity of a sheet near a surfactant-laden interface.
- To investigate the influence of Marangoni number (Ma) and surface Péclet number (Pe_s) on sheet velocity.
- To explore the effect of different wave types (transverse and longitudinal) on swimming behavior.
Main Methods:
- Theoretical analysis assuming small Reynolds number and sheet deformation.
- Mathematical modeling of fluid-structure interaction near a deformable interface.
- Parametric study varying Marangoni number and surface Péclet number.
Main Results:
- Sheet velocity exhibits non-monotonic dependence on Ma and Pe_s.
- For transverse waves, velocity increases with Ma at fixed Pe_s.
- Velocity response to increasing Pe_s varies with Ma, showing increase or initial increase followed by decrease.
- Longitudinal waves further modify the velocity dependence on Ma and Pe_s.
Conclusions:
- The swimming dynamics of a sheet near a surfactant interface are sensitive to interfacial properties and wave modes.
- Non-trivial dependencies on Ma and Pe_s highlight the complexity of microswimmer-interface interactions.
- Future studies could explore nonlinear effects and different interface compositions.
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