On the Generalized Navier-Stokes Equations

Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2003/vib-48399 ◽

2003 ◽

Author(s):

Moustafa El-Shahed ◽

Ahmed Salem

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Hankel Transforms ◽

Fourier Sine ◽

In this paper, we present a general Inodel of the classical Navier-Stokes equations. With the help of Laplace, Fourier Sine transforms, finite Fourier Sine transforms, and finite Hankel transforms, an exact solutions for three different special cases have been obtained.

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Exact Solutions of Three-Dimensional Transient Navier - Stokes Equations

International Journal of Fluid Mechanics Research ◽

10.1615/interjfluidmechres.v40.i4.10 ◽

2013 ◽

Vol 40 (4) ◽

pp. 281-311

Author(s):

Raj K. Singh

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations

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Discussion: “Flow Over an Oscillating Plate With Suction or With an Intermediate Film: Two Exact Solutions of the Navier-Stokes Equations” (Debler, W. R., and Montgomery, R. D., 1971, ASME J. Appl. Mech., 38, pp. 262–265)

Journal of Applied Mechanics ◽

10.1115/1.3422652 ◽

1972 ◽

Vol 39 (1) ◽

pp. 313-313

Author(s):

R. B. Kinney

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Oscillating Plate

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Exact Solutions of the Navier–Stokes Equations

Boundary-Layer Theory ◽

10.1007/978-3-662-52919-5_5 ◽

2016 ◽

pp. 101-142 ◽

Author(s):

Hermann Schlichting ◽

Klaus Gersten

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30783-5 ◽

2018 ◽

Vol 38 (3) ◽

pp. 778-790

Author(s):

Jianlin ZHANG ◽

Yuming QIN

Keyword(s):

Cauchy Problem ◽

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Spherically Symmetric ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Navier-Stokes Equations: Exact Solutions

Fluid Mechanics and Turbomachinery ◽

10.1201/9781003053996-6 ◽

2021 ◽

pp. 123-153

Author(s):

Bijay K. Sultanian

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Exact solutions for restricted incompressible Navier–Stokes equations with Dirichlet boundary conditions

Journal of Physics Communications ◽

10.1088/2399-6528/ab3837 ◽

2019 ◽

Vol 3 (8) ◽

pp. 085008

Author(s):

Manuel García-Casado

Keyword(s):

Boundary Conditions ◽

Exact Solutions ◽

Dirichlet Boundary ◽

Stokes Equations ◽

Dirichlet Boundary Conditions ◽

Navier Stokes ◽

Navier Stokes Equations

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Exact Solutions of the Navier-Stokes Equations

Boundary-Layer Theory ◽

10.1007/978-3-642-85829-1_5 ◽

2000 ◽

pp. 101-142

Author(s):

Herrmann Schlichting ◽

Klaus Gersten

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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A class of exact solutions to the Navier-Stokes equations

International Journal of Engineering Science ◽

10.1016/0020-7225(84)90079-x ◽

1984 ◽

Vol 22 (4) ◽

pp. 451-455 ◽

Author(s):

K.R. Rajagopal

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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3D rotating Navier-Stokes equations: New method of numerical analysis and families of global exact solutions

Progress in Analysis and Its Applications ◽

10.1142/9789814313179_0014 ◽

2010 ◽

Author(s):

A.G. Khaybullin ◽

R.S. Saks

Keyword(s):

Numerical Analysis ◽

Exact Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations

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Crack Opening Models Based on the Exact Solutions of the Navier-Stokes Equations

Journal of Applied Mechanics and Technical Physics ◽

10.1134/s0021894419020147 ◽

2019 ◽

Vol 60 (2) ◽

pp. 332-341

Author(s):

S. V. Khabirov ◽

S. S. Khabirov

Keyword(s):

Exact Solutions ◽

Stokes Equations ◽

Crack Opening ◽

Navier Stokes ◽

Navier Stokes Equations

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