Creeping flow analyses of free surface cavity flows

DOI10.1007/BF00455993zbMath0899.76115MaRDI QIDQ1371495

M. D. Savage, Jonathan L. Summers, Philip H. Gaskell, Harvey M. Thompson

Publication date: 15 November 1998

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

biharmonic boundary value problemlinear finite elementsstreamline-vorticity formulationtruncated expansion in eigenfunctions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Series solutions to PDEs (35C10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Stokes eigenmodes in square domain and the stream function-vorticity correlation ⋮ Unnamed Item ⋮ Effect of the Reynolds number on streamline bifurcations in a double-lid-driven cavity with free surfaces. ⋮ Lagrangian chaos in steady three-dimensional lid-driven cavity flow ⋮ Symplectic exact solution for Stokes flow in the thin film coating applications ⋮ Stability of the axisymmetric buoyant-capillary flows in a laterally heated liquid bridge ⋮ Fundamental Stokes eigenmodes in the square: Which expansion is more accurate, Chebyshev or Reid-Harris? ⋮ Stokes flow in closed, rectangular domains ⋮ Topology of three-dimensional steady cellular flow in a two-sided anti-parallel lid-driven cavity

Cites Work

• Boundary integral equation solution of viscous flows with free surfaces
• Accurate solutions for steady plane flow in the driven cavity. I: Stokes flow
• Stokes Flow Between Parallel Plates due to a Trausversely Moving End Wall
• The moving contact line on a smooth solid surface
• Stokes flow in a two-dimensional cavity with moving end walls
• The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow
• Frontal solution program for unsymmetric matrices
• The Convergence of Biorthogonal Series for Biharmonic and Stokes Flow Edge Problems: Part II
• The eddy structure in Stokes flow in a cavity
• Stokes flow in a half-filled annulus between rotating coaxial cylinders
• An experimental investigation of meniscus roll coating
• A Newton's method scheme for solving free‐surface flow problems
• Modelling and analysis of meniscus roll coating
• Viscous and resistive eddies near a sharp corner
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