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Journal ArticleDOI

Exact Solutions of the Steady-State Navier-Stokes Equations

C.Y. Wang
- 01 Jan 1991 - 
- Vol. 23, Iss: 1, pp 159-177
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TLDR
In this paper, the Navier-Stokes equations are used as a standard for checking the accuracy of approximate methods, whether they are numerical, asymptotic, or empirical.
Abstract: 
1. The solutions represent fundamental fluid-dynamic flows. Also, owing to the uniform validity of exact solutions, the basic phenomena described by the Navier-Stokes equations can be more closely studied. 2. The exact solutions serve as standards for checking the accuracies of the many approximate methods, whether they are numerical, asymp­ totic, or empirical. Current advances in computer technology make the complete numerical integration of the Navier-Stokes equations more feasible. However, the accuracy of the results can only be ascertained by a comparison with an exact solution.

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Journal ArticleDOI

Microscale acoustofluidics: Microfluidics driven via acoustics and ultrasonics

James Friend, +1 more
- 20 Jun 2011 - 
TL;DR: In this article, the use of acoustic fields, principally ultrasonics, for application in microfluidics is reviewed, and the abundance of interesting phenomena arising from nonlinear interactions in ultrasound that easily appear at these small scales is considered, especially in surface acoustic wave devices that are simple to fabricate with planar lithography techniques.
Journal ArticleDOI

Verification and Validation in Computational Fluid Dynamics

William L. Oberkampf, +1 more
- 01 Apr 2002 - 
TL;DR: An extensive review of the literature in V&V in computational fluid dynamics (CFD) is presented, methods and procedures for assessing V &V are discussed, and a relatively new procedure for estimating experimental uncertainty is given that has proven more effective at estimating random and correlated bias errors in wind-tunnel experiments than traditional methods.
Journal ArticleDOI

The history of poiseuille's law

Salvatore P. Sutera, +1 more
- 01 Jan 1993 - 
Journal ArticleDOI

Stagnation flow towards a shrinking sheet

C.Y. Wang
- 01 Jun 2008 - 
TL;DR: In this paper, a similarity transform was used to reduce the Navier-Stokes equations to a set of non-linear ordinary differential equations, which are then integrated numerically.
Journal ArticleDOI

Flow due to a stretching boundary with partial slip—an exact solution of the Navier–Stokes equations

C.Y. Wang
- 01 Sep 2002 - 
TL;DR: In this article, the entrained flow due to a stretching surface with partial slip is solved by similarity transform, and the flow is solved using similarity transform on a Gaussian manifold.