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Navier–Stokes, Dissipation Function, and G‐Value
This chapter discusses the Navier–Stokes equations, dissipation function, and G‐value. The Navier–Stokes equations are differential momentum equations applicable to a point in a fluid flow. The derivation of these equations requires the concept of stress at a point, Newton's Second Law of Motion, the concept of strain at a point, and stress–strain relationships. Those concepts and the overall derivation are presented in summary fashion, with ample citations of references with which the interested reader can fill in the details. The derivation of the Stokes dissipation function requires general differential energy equations applicable to fluid flow. The First Law of Thermodynamics and the concepts of energy and work as they apply to fluid systems are developed, and the energy equations are derived. The Stokes stress–strain relationships are developed and incorporated into the derivation. A critical review of G‐value theory is presented, and subsequent sections of the book are noted in which that theory is critiqued and suggested alternatives to its use are presented.
Navier–Stokes, Dissipation Function, and G‐Value
This chapter discusses the Navier–Stokes equations, dissipation function, and G‐value. The Navier–Stokes equations are differential momentum equations applicable to a point in a fluid flow. The derivation of these equations requires the concept of stress at a point, Newton's Second Law of Motion, the concept of strain at a point, and stress–strain relationships. Those concepts and the overall derivation are presented in summary fashion, with ample citations of references with which the interested reader can fill in the details. The derivation of the Stokes dissipation function requires general differential energy equations applicable to fluid flow. The First Law of Thermodynamics and the concepts of energy and work as they apply to fluid systems are developed, and the energy equations are derived. The Stokes stress–strain relationships are developed and incorporated into the derivation. A critical review of G‐value theory is presented, and subsequent sections of the book are noted in which that theory is critiqued and suggested alternatives to its use are presented.
Navier–Stokes, Dissipation Function, and G‐Value
Graber, S. David (author)
2024-12-24
8 pages
Article/Chapter (Book)
Electronic Resource
English
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