A variational calculus approach to the suspension flow problem using the minimal force hypothesis

DOI10.1007/BF02463245zbMath0485.76087OpenAlexW4240919459WikidataQ112879252 ScholiaQ112879252MaRDI QIDQ1164514

Marshall M. Lih, David M. Wetzel, Mohsin R. Siddique, T. Leo van Winkle

Publication date: 1982

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02463245

zbMATH Keywords

laminar flowvelocity profileconcentration distributionsteadyfully developedcircular conduit or tubemaximum concentration along center- linemaximum concentration in ringminimal force hypothesisparticles are spherical, rigid and neutrally buoyantsuspension flow problemvelocity only in axial directionviscosity model depends on momentary value of concentration

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Variational principles of physics (49S05)

Cites Work

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• A mathematical model for the axial migration of suspended particles in tube flow
• Suspended Particles in Fluid Flow Through Tubes
• Behaviour of macroscopic rigid spheres in Poiseuille flow Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams

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