Fluid Mechanics for Engineers

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Fluid Mechanics for Engineers

Fluid Mechanics for Engineers

Book Details

Pages: 517
Size : 30 MB

Book Description

The contents of this book covers the material required in the Fluid Mechanics
Graduate Core Course (MEEN-621) and in Advanced Fluid Mechanics, a Ph.D-level
elective course (MEEN-622), both of which I have been teaching at Texas A&M
University for the past two decades. While there are numerous undergraduate fluid
mechanics texts on the market for engineering students and instructors to choose
from, there are only limited texts that comprehensively address the particular needs
of graduate engineering fluid mechanics courses. To complement the lecture
materials, the instructors more often recommend several texts, each of which treats
special topics of fluid mechanics. This circumstance and the need to have a textbook
that covers the materials needed in the above courses gave the impetus to provide the
graduate engineering community with a coherent textbook that comprehensively
addresses their needs for an advanced fluid mechanics text. Although this text book
is primarily aimed at mechanical engineering students, it is equally suitable for
aerospace engineering, civil engineering, other engineering disciplines, and especially
those practicing professionals who perform CFD-simulation on a routine basis and
would like to know more about the underlying physics of the commercial codes they
use. Furthermore, it is suitable for self study, provided that the reader has a sufficient
knowledge of calculus and differential equations.
In the past, because of the lack of advanced computational capability, the subject
of fluid mechanics was artificially subdivided into inviscid, viscous (laminar,
turbulent), incompressible, compressible, subsonic, supersonic and hypersonic flows.
With today’s state of computation, there is no need for this subdivision. The motion
of a fluid is accurately described by the Navier-Stokes equations. These equations
require modeling of the relationship between the stress and deformation tensor for
linear and nonlinear fluids only. Efforts by many researchers around the globe are
aimed at directly solving the Navier-Stokes equations (DNS) without introducing the
Reynolds stress tensor, which is the result of an artificial decomposition of the
velocity field into a mean and fluctuating part. The use of DNS for engineering
applications seems to be out of reach because the computation time and resources
required to perform a DNS-calculation are excessive at this time. Considering this
constraining circumstance, engineers have to resort to Navier-Stokes solvers that are
based on Reynolds decomposition. It requires modeling of the transition process and
the Reynolds stress tensor to which three chapters of this book are dedicated.
The book is structured in such a way that all conservation laws, their derivatives
and related equations are written in coordinate invariant forms. This type of structure
enables the reader to use Cartesian, orthogonal curvilinear, or non-orthogonal body
fitted coordinate systems. The coordinate invariant equations are then decomposed
into components by utilizing the index notation of the corresponding coordinate
systems. The use of a coordinate invariant form is particularly essential in
understanding the underlying physics of the turbulence, its implementation into the
Navier-Stokes equations, and the necessary mathematical manipulations to arrive at
different correlations. The resulting correlations are the basis for the following
turbulence modeling. It is worth noting that in standard textbooks of turbulence, index
notations are used throughout with almost no explanation of how they were brought
about. This circumstance adds to the difficulty in understanding the nature of
turbulence by readers who are freshly exposed to the problematics of turbulence.

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