Fluids of differential type: Critical review and thermodynamic analysis
TLDR
In this paper, the authors provide an extended analysis of the genesis and development of fluids of differential type, and show that certain ideas of flow retardation and model approximation have been consistently misinterpreted.About:
This article is published in International Journal of Engineering Science.The article was published on 1995-04-01 and is currently open access. It has received 615 citations till now. The article focuses on the topics: Work (thermodynamics).read more
Citations
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The Navier–Stokes-alpha model of fluid turbulence
TL;DR: In this article, a nonlinearly dispersive Navier-stokes-alpha (NS-α) model of incompressible fluid turbulence was derived by filtering the velocity of the fluid loop in Kelvin's circulation theorem.
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Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary
TL;DR: In this paper, a second grade fluid in a porous half-space with a heated flat plate was investigated and exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms.
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Viscosity and thermal conductivity of nanofluids containing multi-walled carbon nanotubes stabilized by chitosan
TL;DR: In this article, the thermal conductivity, viscosity, and stability of nanofluids containing multi-walled carbon nanotubes (MWCNTs) stabilized by cationic chitosan were studied.
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A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
TL;DR: In this paper, the steady solution of the Camassa-holm equation with the mean flow of the Reynolds equation is compared with empirical data for turbulent flows in channels and pipes.
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The Camassa-Holm equations and turbulence
Shiyi Chen,C. Foias,C. Foias,Darryl D. Holm,Eric Olson,Eric Olson,Edriss S. Titi,Edriss S. Titi,Shannon Wynne,Shannon Wynne +9 more
TL;DR: In this article, Chen et al. provide a more detailed mathematical treatment of those equations for pipe flows which yield accurate predictions of turbulent flow profiles for very large Reynolds numbers, and a connection between the Camassa-Holm equations and turbulent flows in channels and pipes is discussed.
References
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An Approximation Theorem for Functionals, with Applications in Continuum Mechanics
Bernard D. Coleman,Walter Noll +1 more
TL;DR: In this paper, a brief discussion of the physical motivation behind the mathematical considerations to be presented in Part I of this paper is presented. But this discussion is limited to the case where the authors are concerned with a single point of view.
Book
Fluid dynamics of viscoelastic liquids
TL;DR: In this article, a mathematical and physical theory which takes a proper account of the elasticity of liquids is developed, which leads to systems of partial differential equations of composite type in which some variables are hyperbolic and others elliptic.
Related Papers (5)
Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
J. Ernest Dunn,Roger Fosdick +1 more