Integral equation solution for the flow due to the motion of a body of arbitrary shape near a plane interface at small Reynolds number Article

Power, H, García, R, Miranda, G. (1986). Integral equation solution for the flow due to the motion of a body of arbitrary shape near a plane interface at small Reynolds number . 2(2), 79-94. 10.1016/0168-9274(86)90018-8

cited authors

  • Power, H; García, R; Miranda, G

authors

abstract

  • The problem of determining the slow viscous flow due to an arbitrary motion of a particle of arbitrary shape near a plane interface is formulated exactly as a system of three linear Fredholm integral equations of the first kind, which is shown to have a unique solution. A numerical method based on these integral equations is proposed. In order to test this method valid for arbitrary particle shape, the problem of arbitrary motion of a sphere is worked out and compared with the available analytical solution. This technique can be also extended to low Reynolds number flow due to the motion of a finite number of bodies of arbitrary shape near a plane interface. As an example the case of two equal sized spheres moving parallel and perpendicular to the interface is solved in the limiting case of infinite viscosity ratio. © 1986.

publication date

  • January 1, 1986

Digital Object Identifier (DOI)

start page

  • 79

end page

  • 94

volume

  • 2

issue

  • 2