Description

Book Synopsis
This book presents a non-traditional approach to the theory of turbulence. Its objective is to prove that Newtonian mechanics is fully equipped for the description of turbulent motions without the help of experimentally obtained closures. Turbulence is one of the most fundamental problems in theoretical physics that is still unsolved. The term "unsolved" here means that turbulence cannot be properly formulated (ie: reduced to standard mathematical procedure such as solving differential equations). In other words, it is not just a computational problem: prior to computations, a consistent mathematical model must be found. Although applicability of the Navier-Stokes equations as a model for fluid mechanics is not in question, the instability of their solutions for flows with supercritical Reynolds numbers raises a more general question: is Newtonian mechanics complete?

Turbulence from First Principles

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A Paperback / softback by Michail Zak

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    Publisher: Nova Science Publishers Inc
    Publication Date: 01/09/2013
    ISBN13: 9781628084689, 978-1628084689
    ISBN10: 1628084685
    Also in:
    Set theory

    Description

    Book Synopsis
    This book presents a non-traditional approach to the theory of turbulence. Its objective is to prove that Newtonian mechanics is fully equipped for the description of turbulent motions without the help of experimentally obtained closures. Turbulence is one of the most fundamental problems in theoretical physics that is still unsolved. The term "unsolved" here means that turbulence cannot be properly formulated (ie: reduced to standard mathematical procedure such as solving differential equations). In other words, it is not just a computational problem: prior to computations, a consistent mathematical model must be found. Although applicability of the Navier-Stokes equations as a model for fluid mechanics is not in question, the instability of their solutions for flows with supercritical Reynolds numbers raises a more general question: is Newtonian mechanics complete?

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