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2016 | Buch

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Fluid Flow and Heat Transfer in Rotating Porous Media

verfasst von: Peter Vadasz

Verlag: Springer International Publishing

Buchreihe : SpringerBriefs in Applied Sciences and Technology

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

This Book concentrates the available knowledge on rotating fluid flow and heat transfer in porous media in one single reference. Dr. Vadasz develops the fundamental theory of rotating flow and heat transfer in porous media and introduces systematic classification and identification of the relevant problems. An initial distinction between rotating flows in isothermal heterogeneous porous systems and natural convection in homogeneous non-‐isothermal porous systems provides the two major classes of problems to be considered. A few examples of solutions to selected problems are presented, highlighting the significant impact of rotation on the flow in porous media.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Introduction

Abstract

The introduction chapter introduces the topic, its theoretical significance, as well as its applications in engineering and geophysics. Then a conceptual introduction of the porous media, its definitions and the continuum approach adopted in this book follows.

Peter Vadasz

Chapter 2. Modeling of Flow and Heat Transfer in Porous Media

Abstract

Modeling of flow and heat transfer in rotating porous media is introduced in this chapter. The governing equations are presented and transformed into dimensionless form in order, among others, to identifying conditions for neglecting terms in these equations. The classification of different types of rotating flows in porous media concludes the chapter.

Peter Vadasz

Chapter 3. Isothermal Flow in Heterogeneous Porous Media

ABSTRACT

Isothermal flow in roating porous media is shown to apply for conditions when the permeability of the porous medium is not constant, hence representing heterogeneous porous media. The demonstration of the possible existence of Taylor-Proudman columns in rotating porous media follows. Examples of secondary flows in a cross section perpendicular to the main flow direction are presented for a heterogeneous porous medium in a rotating square channel.

Peter Vadasz

Chapter 4. Natural Convection Due to Thermal Buoyancy of Centrifugal Body Forces

Abstract

Natural convection in rotating porous media due to thermal buoyancy created by the centrifugal body force is presented. The distinction between the cases where the temperature gradients are aligned with the direction of the centrifugal body force or perpendicular to the latter are discussed separately. In the second case stability conditions have to be established, i.e. the convection does not occur unconditionally. A spectral system is then used to analyze the nonlinear effects leading to a system of ordinary differential equations for the amplitudes of convection. They predict a transition to chaotic solutions (weak turbulence) at certain values of the parameters.

Peter Vadasz

Chapter 5. Coriolis Effects on Natural Convection

Abstract

The effect of the Coriolis acceleration on natural convection is presented in this chapter. When the imposed thermal gradient is perpendicular to the direction of the centrifugal body force unconditional natural convection occurs. Then the Coriolis effect is reflected in creation of secondary flows in a cross section perpendicular to the direction of the main convection. When the natural convection occurs due to gravitational buoyancy and the thermal gradient is parallel to the direction of the gravity body force natural convection occurs conditionally. Stability analysis is then required and presented for stationary or possibly oscillatory convection. Weak nonlinear solutions identify then the direction of the bifurcations for different values of the controlling parameters.

Peter Vadasz

Chapter 6. Other Effects of Rotation on Flow and Natural Convection in Porous Media

Abstract

Combined gravity and centrifugal buoyancy due to thermal gradients are introduced in this chapter, followed by onset of convection in a binary mixture saturating the rotating porous layer. Effects of lack of local thermal equilibrium or local thermal non-equilibrium are then discussed. The case when the porous medium is anisotropic and the resulting effects on convection are then introduced. Applications of rotating porous media to nanofluids and solidification of binary alloys conclude this chapter.

Peter Vadasz

Backmatter

Titel: Fluid Flow and Heat Transfer in Rotating Porous Media
verfasst von: Peter Vadasz
Verlag: Springer International Publishing
Electronic ISBN: 978-3-319-20056-9
Print ISBN: 978-3-319-20055-2
DOI: https://doi.org/10.1007/978-3-319-20056-9

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