38 citations · 79 across the 5 of their papers we have counts for
5 papers
A single-layer based numerical method for the slender body boundary value problem
William H. Mitchell, Henry G. Bell, Yoichiro Mori +2
Fluid flows containing dilute or dense suspensions of thin fibers are widespread in biological and industrial processes. To describe the motion of a thin immersed fiber, or to desc…
There's more than one way to cancel a regularized Stokeslet
William H. Mitchell, Dona Pantova
The Green's functions of Stokes flow are widely used analytical and computational tools for microscale flows. We adapt a procedure from H.A. Lorentz for the method of images in Sto…
A generalized traction integral equation for Stokes flow, with applications to near-wall particle mobility and viscous erosion
William H. Mitchell, Saverio E. Spagnolie
A double-layer integral equation for the surface tractions on a body moving in a viscous fluid is derived which allows for the incorporation of a background flow and/or the presenc…
Stability and dynamics of magnetocapillary interactions
Rujeko Chinomona, Janelle Lajeunesse, William H. Mitchell +2
Recent experiments have shown that floating ferromagnetic beads, under the influence of an oscillating background magnetic field, can move along a liquid-air interface in a sustain…
Sedimentation of spheroidal bodies near walls in viscous fluids: glancing, reversing, tumbling, and sliding
William H. Mitchell, Saverio E. Spagnolie
The sedimentation of a rigid particle near a wall in a viscous fluid has been studied numerically by many authors, but analytical solutions have been derived only for special cases…