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Microscale Flow and Heat Transfer - Mathematical Modelling and Flow Physics (Hardcover, 1st ed. 2020)
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Microscale Flow and Heat Transfer - Mathematical Modelling and Flow Physics (Hardcover, 1st ed. 2020)
Series: Mechanical Engineering Series
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This book covers concepts and the latest developments on microscale
flow and heat transfer phenomena involving a gas. The book is
organised in two parts: the first part focuses on the fluid flow
and heat transfer characteristics of gaseous slip flows. The second
part presents modelling of such flows using higher-order continuum
transport equations. The Navier-Stokes equations based solution is
provided to various problems in the slip regime. Several
interesting characteristics of slip flows along with useful
empirical correlations are documented in the first part of the
book. The examples bring out the failure of the conventional
equations to adequately describe various phenomena at the
microscale. Thereby the readers are introduced to higher order
continuum transport (Burnett and Grad) equations, which can
potentially overcome these limitations. A clear and easy to follow
step by step derivation of the Burnett and Grad equations (superset
of the Navier-Stokes equations) is provided in the second part of
the book. Analytical solution of these equations, the latest
developments in the field, along with scope for future work in this
area are also brought out. Presents characteristics of flow in the
slip and transition regimes for a clear understanding of microscale
flow problems; Provides a derivation of Navier-Stokes equations
from microscopic viewpoint; Features a clear and easy to follow
step-by-step approach to derive Burnett and Grad equations;
Describes a complete compilation of few known exact solutions of
the Burnett and Grad equations, along with a discussion of the
solution aided with plots; Introduces the variants of the
Navier-Stokes, Burnett and Grad equations, including the recently
proposed Onsager-Burnett and O13 moment equations.
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