Abstract
A semi-analytical and semi-numerical calculation is used in single spherical colloidal particles in a nonelectrolyte solution, to calculate the diffusiophoresis velocity without considering the solute convection effect of fluid inertia. The fixed value of the concentration gradient to a parallel plate is the driving force. The boundary conditions for plate can be a solute linear distribution of the two situations that cannot penetrate or solute. When the particle radius is much larger than the thickness of particles and solute interaction layer plate, one part of the boundary effect is from the interaction effect produced by the concentration gradients and the colloidal particles, while the other part is from the viscosity of the fluid. The mobility velocity boundary is used to take point velocity under different polarization parameters and separation parameters to verify the reflection method. Due to the surface characteristics of the particles and the relative distance of the plate from the different boundary conditions on the plate, the plate effect can reduce or increase the motion velocity of particles.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, J.L., Prieve, D.C.: Diffusiophoresis caused by gradients of strongly adsorbing solutes. Langmuir 7, 403 (1991)
Ganatos, P., Weinbaum, S., Pfeffer, R.: A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion. J. Fluid Mech. 99, 755 (1980)
Keh, H.J., Chen, S.B.: Electrophoresis of a colloidal sphere parallel to a dielectricplane. J. Fluid Mech. 194, 377 (1988)
Keh, H.J., Jan, J.S.: Boundary effects on diffusiophoresis and electrophoresis: Motion of a colloidal sphere normal to a plane wall. J. Colloid Interface Sci. 183, 458 (1996)
O’Brien, R.W.: The solution of the electrokinetic equations for colloidal particles with thin double layers. J. Colloid Interface Sci. 92, 204 (1983)
O’Neill, M.E.: A slow motion of viscous liquid caused by a slowly moving solid sphere. Mathematika 11, 67 (1964)
O’Brien, V.: Form factors for deformed spheroids in Stokes flow. AIChE J. 14, 870 (1968)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 The Author(s)
About this chapter
Cite this chapter
Chen, PY. (2014). Diffusiophoresis of Spherical Colloidal Particles Parallel to the Plane Walls. In: The Application of Biofluid Mechanics. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-44952-9_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-44952-9_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-44951-2
Online ISBN: 978-3-642-44952-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)