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- W4308242066 abstract "We study the inertial migration of a torque-free neutrally buoyant sphere in wall-bounded plane Couette flow over a wide range of channel Reynolds numbers, $Re_c$, in the limit of small particle Reynolds number,($Re_pll1$) and confinement ratio,($lambdall1$). Here, $Re_c = V_text{wall}H/nu$ where $H$ denotes the separation between the channel walls, $V_text{wall}$ denotes the speed of the moving wall, and $nu$ is the kinematic viscosity of the Newtonian suspending fluid; $lambda = a/H$, $a$ being the sphere radius, with $Re_p=lambda^2 Re_c$. The channel centerline is found to be the only (stable),equilibrium below a critical $Re_c,(approx 148)$, consistent with the predictions of earlier small-$Re_c$ analyses. A supercritical pitchfork bifurcation at the critical $Re_c$ creates a pair of stable off-center equilibria, symmetrically located with respect to the centerline, with the original centerline equilibrium simultaneously becoming unstable. The new equilibria migrate wallward with increasing $Re_c$. In contrast to the inference based on recent computations, the aforementioned bifurcation occurs for arbitrarily small $Re_p$ provided $lambda$ is sufficiently small. An analogous bifurcation occurs in the two-dimensional scenario, that is, for a circular cylinder suspended freely in plane Couette flow, with the critical $Re_c$ being approximately $110$." @default.
- W4308242066 created "2022-11-09" @default.
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- W4308242066 date "2022-11-02" @default.
- W4308242066 modified "2023-09-27" @default.
- W4308242066 title "Inertial migration of a sphere in plane Couette flow" @default.
- W4308242066 doi "https://doi.org/10.48550/arxiv.2211.01414" @default.
- W4308242066 hasPublicationYear "2022" @default.
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