Principles of Heat Transfer in Porous Media

Principles of Heat Transfer in Porous Media

1995 | M. Kaviany
M. Kaviany's *Principles of Heat Transfer in Porous Media* is a comprehensive textbook that provides a detailed analysis of heat transfer mechanisms in porous media. The book covers both single-phase and two-phase flows, with a focus on the theoretical and empirical treatments of fluid flow and heat transfer in such systems. It integrates available theoretical and empirical approaches to derive the differential conservation equations and constitutive equations necessary for analyzing transport in porous media. The text emphasizes the importance of understanding the principles of transport in porous media, while also providing predictive tools for engineering applications. The book is divided into two parts: Part I deals with single-phase flows, and Part II covers two-phase flows. In Part I, the focus is on single-phase flows, including the examination of all modes of heat transfer using a single-continuum treatment based on the assumption of local thermal equilibrium. A two-medium treatment is then introduced. Part II addresses pore-level fluid mechanics and the thermodynamics of simultaneous fluid phases in porous media, examining conduction and convection heat transfer. The book also discusses heat and mass transfer from surfaces bounding porous media, which contain both liquid and gaseous phases. Since the fluid dynamics of two-phase flow involving phase change is not yet fully understood, specific phase-change processes and their peculiarities are discussed in the last chapter. The book also includes a detailed review of the historical and practical aspects of heat transfer in porous media, as well as the length, time, and temperature scales encountered in this field. It covers the fluid mechanics of single-phase flow, beginning with the Darcy law and developing along more rigorous treatments based on local volume averaging. The text also examines porosity variations near bounding solid surfaces and hydrodynamic boundary conditions at the interface of porous media. The book provides a thorough discussion of heat conduction, including deterministic, stochastic, and semiempirical treatments. It also examines hydrodynamic dispersion, which always exists in convective heat transfer in porous media, and various treatments of it. Radiation heat transfer, which is significant in low-temperature insulation applications as well as in high-temperature combustion applications, is discussed in detail. The theory of independent scattering is examined for large particles, and the inclusion of dependent scattering is formulated with a solution method presented. Mass transfer in gases, including the low-pressure, small pore size Knudsen regime, surface diffusion, and chemical reactions, is considered in the book. The text also addresses the thermal nonequilibrium between phases, the various approximations, and several examples. The book is written as a detailed description of the fundamentals of heat transfer in porous media, assuming familiarity with fluid mechanics and heat transfer. The concepts and physical phenomena are emphasized more than the step-by-step development. When intermediate steps in the derivations are not given, they can either be found in the references or arrived at by the material supplied in the discussion. The symbols used are defined in the nomenclature after Chapter 12. A glossM. Kaviany's *Principles of Heat Transfer in Porous Media* is a comprehensive textbook that provides a detailed analysis of heat transfer mechanisms in porous media. The book covers both single-phase and two-phase flows, with a focus on the theoretical and empirical treatments of fluid flow and heat transfer in such systems. It integrates available theoretical and empirical approaches to derive the differential conservation equations and constitutive equations necessary for analyzing transport in porous media. The text emphasizes the importance of understanding the principles of transport in porous media, while also providing predictive tools for engineering applications. The book is divided into two parts: Part I deals with single-phase flows, and Part II covers two-phase flows. In Part I, the focus is on single-phase flows, including the examination of all modes of heat transfer using a single-continuum treatment based on the assumption of local thermal equilibrium. A two-medium treatment is then introduced. Part II addresses pore-level fluid mechanics and the thermodynamics of simultaneous fluid phases in porous media, examining conduction and convection heat transfer. The book also discusses heat and mass transfer from surfaces bounding porous media, which contain both liquid and gaseous phases. Since the fluid dynamics of two-phase flow involving phase change is not yet fully understood, specific phase-change processes and their peculiarities are discussed in the last chapter. The book also includes a detailed review of the historical and practical aspects of heat transfer in porous media, as well as the length, time, and temperature scales encountered in this field. It covers the fluid mechanics of single-phase flow, beginning with the Darcy law and developing along more rigorous treatments based on local volume averaging. The text also examines porosity variations near bounding solid surfaces and hydrodynamic boundary conditions at the interface of porous media. The book provides a thorough discussion of heat conduction, including deterministic, stochastic, and semiempirical treatments. It also examines hydrodynamic dispersion, which always exists in convective heat transfer in porous media, and various treatments of it. Radiation heat transfer, which is significant in low-temperature insulation applications as well as in high-temperature combustion applications, is discussed in detail. The theory of independent scattering is examined for large particles, and the inclusion of dependent scattering is formulated with a solution method presented. Mass transfer in gases, including the low-pressure, small pore size Knudsen regime, surface diffusion, and chemical reactions, is considered in the book. The text also addresses the thermal nonequilibrium between phases, the various approximations, and several examples. The book is written as a detailed description of the fundamentals of heat transfer in porous media, assuming familiarity with fluid mechanics and heat transfer. The concepts and physical phenomena are emphasized more than the step-by-step development. When intermediate steps in the derivations are not given, they can either be found in the references or arrived at by the material supplied in the discussion. The symbols used are defined in the nomenclature after Chapter 12. A gloss
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