Exact solutions of the Navier-Stokes equations - The generalized Beltrami flows, review and extension

DOI10.1007/BF01174556zbMath0698.76036MaRDI QIDQ912709

Chang Yi Wang

Publication date: 1990

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsexact solutionsgeneralized Beltrami flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (10)

Geophysical fluid models with simple energy backscatter: explicit flows and unbounded exponential growth ⋮ A class of rotational solutions for the \(N\)-dimensional incompressible Navier-Stokes equations ⋮ Some unsteady exact pseudo-plane solutions for the Navier-Stokes equations ⋮ Families of superposable planar exact solutions for skew-symmetric couple stress fluid flows ⋮ The Cartesian analytical solutions for the N-dimensional compressible Navier–Stokes equations with density-dependent viscosity ⋮ Single-scale two-dimensional-three-component generalized-Beltrami-flow solutions of incompressible Navier-Stokes equations ⋮ Polynomial solutions and other exact solutions of axisymmetric generalized Beltrami flows ⋮ Some exact pseudo-plane solutions of the first kind for the Navier-Stokes equations ⋮ Spiral waves in three-dimensional helical viscous flows ⋮ New classes of periodic and non-periodic exact solutions for newtonian and non-Newtonian fluid flows

Cites Work

• Unnamed Item
• On the general impossibility of controllable axi-symmetric Navier-Stokes motions
• Exact solutions of the unsteady two-dimensional Navier-Stokes equations
• Remarks on plane universal Navier-Stokes motions
• An exact solution for flow in a porous pipe
• A NEW EXACT SOLUTION OF THE EQUATIONS OF VISCOUS MOTION WITH AXIAL SYMMETRY
• On a Class of Exact Solutions of the Navier-Stokes Equations
• Exact Navier-Stokes Solutions Including Swirl and Cross Flow
• Symmetrical Joukowsky airfoils in shear flow

This page was built for publication: Exact solutions of the Navier-Stokes equations - The generalized Beltrami flows, review and extension