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Analytical Solutions of the Navier–Stokes and Related Equations
In this chapter, analytical solutions of the Navier–Stokes and related equations are provided. Although a general analytical solution to the Navier–Stokes equations has not been obtained, specialized solutions to various simplifications of those equations are attainable and useful both for the theoretical insight they provide and for certain practical applications. Related topics are discussed, including potential flow, zero slip at boundaries including D'Alembert's paradox, boundary layers, and Prandtl's synthesis. Useful potential flow solutions are presented. Also presented are laminar flow and creeping flow solutions. Flow through porous media is addressed with pertinent uses and solutions. The phenomena of turbulence , separation , and secondary currents are discussed, along with their importance in environmental engineering applications.
Analytical Solutions of the Navier–Stokes and Related Equations
In this chapter, analytical solutions of the Navier–Stokes and related equations are provided. Although a general analytical solution to the Navier–Stokes equations has not been obtained, specialized solutions to various simplifications of those equations are attainable and useful both for the theoretical insight they provide and for certain practical applications. Related topics are discussed, including potential flow, zero slip at boundaries including D'Alembert's paradox, boundary layers, and Prandtl's synthesis. Useful potential flow solutions are presented. Also presented are laminar flow and creeping flow solutions. Flow through porous media is addressed with pertinent uses and solutions. The phenomena of turbulence , separation , and secondary currents are discussed, along with their importance in environmental engineering applications.
Analytical Solutions of the Navier–Stokes and Related Equations
Graber, S. David (author)
2024-12-24
21 pages
Article/Chapter (Book)
Electronic Resource
English
Boundary layers , circular tubes , creeping flow , doublet , Euler's equations , flow net , flow separation , irrotational flow , laminar flow , Laplace operator , Navier–Stokes equations , parallel plates , Porous media , prismatic flow , potential flow , Prandtl's synthesis , secondary currents , source–sink pair , stream function , turbulence , zero slip
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