Numerical Solution of Flow of a Bingham Fluid on a Rotating Disk

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  • Numerical Solution of Flow of a Bingham

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Abstract

Equations describing the flow of a film of a Bingham fluid on a rotating disk were derived. The equations considered evaporation of a solvent involved in the fluid and the resulting changes in rheological parameters. From those equations, the film thickness distribution in the radial direction was numerically evaluated with the difference method. Two kinds of the thickness distribution were found. (1) For the case of initial yield stress τ0=0.01 and rheological parameter α≥0.1, the thickness h increased with increasing radial coordinate γ. This result agreed with the experimental result for magnetic disks used in electronic computers. (2) For the cases of α=0 and τ0=0.01; 0.1; 0.2, h decreased with increasing γ. This result agreed with the experimental result obtained by Jenekhe and Schuldt.

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