Mathematical Models Of Convection

Author : Victor K. Andreev
Publisher : Walter de Gruyter
ISBN 13 : 3110258595
Total Pages : 436 pages
Book Rating : 4.92/5 ( download)

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Download or read book Mathematical Models of Convection written by Victor K. Andreev and published by Walter de Gruyter. This book was released on 2012-07-30 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phenomena of convection are abundant in nature as well as in industry. This volume addresses the subject of convection from the point of view of both, theory and application. While the first three chapters provide a refresher on fluid dynamics and heat transfer theory, the rest of the book describes the modern developments in theory. Thus it brings the reader to the "front" of the modern research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Author : Victor K. Andreev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311065394X
Total Pages : 334 pages
Book Rating : 4.46/5 ( download)

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Download or read book Mathematical Models of Convection written by Victor K. Andreev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-24 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition gives a comprehensive mathematical and physical presentation of fluid flows in non-classical models of convection - relevant in nature as well as in industry. After the concise coverage of fluid dynamics and heat transfer theory it discusses recent research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.

Author : V. Alexiades
Publisher : Routledge
ISBN 13 : 1351433288
Total Pages : 340 pages
Book Rating : 4.80/5 ( download)

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Download or read book Mathematical Modeling Of Melting And Freezing Processes written by V. Alexiades and published by Routledge. This book was released on 2018-05-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book presents mathematical models of melting and solidification processes that are the key to the effective performance of latent heat thermal energy storage systems (LHTES), utilized in a wide range of heat transfer and industrial applications. This topic has spurred a growth in research into LHTES applications in energy conservation and utilization, space station power systems, and thermal protection of electronic equipment in hostile environments. Further, interest in mathematical modeling has increased with the speread of high powered computers used in most industrial and academic settings. In two sections, the book first describes modeling of phase change processes and then describes applications for LHTES. It is aimed at graduate students, researchers, and practicing engineers in heat transfer, materials processing, multiphase systems, energy conservation, metallurgy, microelectronics, and cryosurgery.

Author : VS Avduevsky
Publisher : CRC Press
ISBN 13 : 9781560320050
Total Pages : 200 pages
Book Rating : 4.52/5 ( download)

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Download or read book Mathematical Modeling Of Convective Heat And Mass Transfer On The Basis Of Nabier Stokes Equations written by VS Avduevsky and published by CRC Press. This book was released on 1992-01-31 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Adelina Georgescu
Publisher : World Scientific
ISBN 13 : 9814289574
Total Pages : 418 pages
Book Rating : 4.73/5 ( download)

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Download or read book Stability Criteria for Fluid Flows written by Adelina Georgescu and published by World Scientific. This book was released on 2010 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Mathematical models governing fluid flows stability. 1.1. General mathematical models of thermodynamics. 1.2. Classical mathematical models in thermodynamics of fluids. 1.3. Classical mathematical models in thermodynamics. 1.4. Classical perturbation models. 1.5. Generalized incompressible Navier-Stokes model -- 2. Incompressible Navier-Stokes fluid. 2.1. Back to integral setting; involvement of dynamics and bifurcation. 2.2. Stability in semidynamical systems. 2.3. Perturbations; asymptotic stability; linear stability. 2.4. Linear stability. 2.5. Prodi's linearization principle. 2.6. Estimates for the spectrum of Ã. 2.7. Universal stability criteria -- 3. Elements of calculus of variations. 3.1. Generalities. 3.2. Direct and inverse problems of calculus of variations. 3.3. Symmetrization of some matricial ordinary differential operators. 3.4. Variational principles for problems (3.3.1)-(3.3.7). 3.5. Fourier series solutions for variational problems -- 4. Variants of the energy method for non-stationary equations. 4.1. Variant based on differentiation of parameters. 4.2. Variant based on simplest symmetric part of operators. 4.3. Variants based on energy splitting -- 5. Applications to linear Bénard convections. 5.1. Magnetic Bénard convection in a partially ionized fluid. 5.2. Magnetic Bénard convection for a fully ionized fluid. 5.3. Convection in a micro-polar fluid bounded by rigid walls. 5.4. Convections governed by ode's with variable coefficients -- 6. Variational methods applied to linear stability. 6.1. Magnetic Bénard problem with Hall effect. 6.2. Lyapunov method applied to the anisotropic Bénard problem. 6.3. Stability criteria for a quasi-geostrophic forced zonal flow. 6.4. Variational principle for problem (5.3.1), (5.3.2). 6.5. Taylor-Dean problem -- 7. Applications of the direct method to linear stability. 7.1. Couette flow between two cylinders subject to a magnetic field. 7.2. Soret-Dufour driven convection. 7.3. Magnetic Soret-Dufour driven convection. 7.4. Convection in a porous medium. 7.5. Convection in the presence of a dielectrophoretic force. 7.6. Convection in an anisotropic M.H.D. thermodiffusive mixture. 7.7. Inhibition of the thermal convection by a magnetic field. 7.8. Microconvection in a binary layer subject to a strong Soret effect. 7.9. Convection in the layer between the sea bed and the permafrost.

Author : Abram S. Dorfman
Publisher : John Wiley & Sons
ISBN 13 : 1119320569
Total Pages : 458 pages
Book Rating : 4.62/5 ( download)

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Download or read book Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine written by Abram S. Dorfman and published by John Wiley & Sons. This book was released on 2017-02-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.

Author : I. Pop
Publisher : Elsevier
ISBN 13 : 0080530001
Total Pages : 673 pages
Book Rating : 4.00/5 ( download)

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Download or read book Convective Heat Transfer written by I. Pop and published by Elsevier. This book was released on 2001-02-23 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in studying the phenomena of convective heat and mass transfer between an ambient fluid and a body which is immersed in it stems both from fundamental considerations, such as the development of better insights into the nature of the underlying physical processes which take place, and from practical considerations, such as the fact that these idealised configurations serve as a launching pad for modelling the analogous transfer processes in more realistic physical systems. Such idealised geometries also provide a test ground for checking the validity of theoretical analyses. Consequently, an immense research effort has been expended in exploring and understanding the convective heat and mass transfer processes between a fluid and submerged objects of various shapes. Among several geometries which have received considerable attention are plates, circular and elliptical cylinders, and spheres, although much information is also available for some other bodies, such as corrugated surfaces or bodies of relatively complicated shapes. The book is a unified progress report which captures the spirit of the work in progress in boundary-layer heat transfer research and also identifies potential difficulties and areas for further study. In addition, this work provides new material on convective heat and mass transfer, as well as a fresh look at basic methods in heat transfer. Extensive references are included in order to stimulate further studies of the problems considered. A state-of-the-art picture of boundary-layer heat transfer today is presented by listing and commenting also upon the most recent successful efforts and identifying the needs for further research.

Author : Anvarbek Meirmanov
Publisher : Springer Science & Business Media
ISBN 13 : 9462390150
Total Pages : 477 pages
Book Rating : 4.57/5 ( download)

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Download or read book Mathematical Models for Poroelastic Flows written by Anvarbek Meirmanov and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 – 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.

Author : Samuel Joseph Wallace
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.10/5 ( download)

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Download or read book Mathematical Models of Atmospheric Convection written by Samuel Joseph Wallace and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
ISBN 13 : 9048124336
Total Pages : 396 pages
Book Rating : 4.36/5 ( download)

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Download or read book Convection in Fluids written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2009-07-21 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, entirely devoted to “Convection in Fluids”, presents a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below) and the effect of free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered. This volume gives a rational and analytical analysis of the above mentioned physical effects on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initials (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process, and work within a numerically coherent simulation on a high speed computer.