Conformally mapped viscous gravity current

DOI10.1007/s10665-016-9861-yzbMath1395.30011OpenAlexW2474991154WikidataQ59614786 ScholiaQ59614786MaRDI QIDQ1707651

Peng Zhang

Publication date: 3 April 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-016-9861-y

zbMATH Keywords

conformal mappingsimilarity solutionpotential flowHele-Shaw cellviscous gravity current

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of conformal mappings (30C35) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

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• Exact solutions for the viscous sintering of multiply-connected fluid domains
• Generalized aerofoil theory
• Viscous flows down an inclined plane from point and line sources
• Secondary flow in a Hele-Shaw cell
• Conformal mapping of some non-harmonic functions in transport theory
• The effect of an ambient flow on the spreading of a viscous gravity current
• Gravity-driven flows in porous layers
• Turbulent dispersion from sources near two-dimensional obstacles
• Exact solutions of the Navier–Stokes equations having steady vortex structures

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