On exact solutions of the unsteady Navier-Stokes equations - the vortex with instantaneous curvilinear axis

DOI10.1016/0020-7225(87)90040-1zbMath0609.76021OpenAlexW1988925838MaRDI QIDQ1087071

Sethupathy R. Kasiviswanathan, Adabala Ramachandra Rao

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90040-1

zbMATH Keywords

streamlinesunique solutionsymmetric solutionorthogonal rheometerExact solutionscoaxial rotating disksinfinite sets of exact solutionsnon-torsional oscillationssuperposed oscillationsunsteady pseudo-plane motions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

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• ON STOKES AND RAYLEIGH LAYERS IN A ROTATING SYSTEM
• Rheometrical flow systems Part 2. Theory for the orthogonal rheometer, including an exact solution of the Navier-Stokes equations