Author: Flemming B. PedersenPublish On: 2012-12-06

3-13. Bo Pedersen, Fl. [1974a |: "Inter facial mixing in two-layer stratified flow". DCAMM report No. 74, Danish Center for applied Mathematics and Mechanics, Technical University of Denmark. Bo Pedersen. Fl. [1974b]: "Opsamling af olie ...

Author: Flemming B. Pedersen

Publisher: Springer Science & Business Media

ISBN: 9783642866005

Category: Science

Page: 278

View: 677

The present lecture notes cover a first course in th~ most common types of stratified flows encountered in Environ mental Hydraulics. Most of the flows are buoyancy flows, i.e. currents in which gravity acts on small density differences. Part I presents the basic concepts of stagnant, densit- stratified water, and of flowing non-miscible stratified fluids. The similarity to the (presumed) well-known open channel flow, subject to a reduced gravity, is illustrated. Part II treats the miscible density stratified flows. In outlining the governing equations, the strong coupling between the turbulence (the mixing) and the mean flow is emphasized. The presentation and discussions of the basic governing equa tions are followed by illustrative examples. Separate chapters are devoted to Dense Bottom Currents, Free Penetrative Convec tion, Wind-driven Stratified Flow, Horizontal Buoyancy Flow and Vertical jet/plumes. Part III presents some examples of practical problems solved on the basis of knowledge given in the present lecture notes. It is the author's experience that the topics treated in chapter 8 and in the subsequent chapters are especially well suited for self-tuition, followed by a study-circle. ACKNOWLEDGEMENT The author has benefited by the valuable help of his col legues at the Institute of Hydrodynamics and Hydraulic Engin eering, the Technical University of Denmark, especially our librarian Mrs. Kirsten Dj¢rup, our secretary Mrs. Marianne Lewis and our technical draftsman Mrs. Liselotte Norup.

Terrill , R. M. , On some exponentially small terms arising in flow through a porous pipe , Quarterly Journal of Mechanics and Applied Mathematics 26 , 3 , 347-354 ( Aug. 1973 ) . Author and Thomas ( 1969 ) previously investigated ...

Ser. 1392(1), 012039.1–012039.7 (2019) 9. Belotserkovskii, O., Gushchin, V., Kon'shin, V.: The splitting method for investigating flows of a stratified liquid with a free surface. USSR Comput. Math. Math. Phys. 27(2), 181–191 (1987) 10.

Author: Lakhmi C. Jain

Publisher: Springer Nature

ISBN: 9789813348264

Category: Technology & Engineering

Page: 378

View: 584

This book presents best selected research papers presented at the Thirteenth International Conference on Applied Mathematics and Mechanics in the Aerospace Industry (AMMAI 2020), held from September 6 to September 13, 2020, at the Alushta Health and Educational Center (The Republic of Crimea). The book is dedicated to solving actual problems of applied mechanics using modern computer technology including smart paradigms. Physical and mathematical models, numerical methods, computational algorithms, and software complexes are discussed, which allow to carry out high-precision mathematical modeling in fluid, gas, and plasma mechanics, in general mechanics, deformable solid mechanics, in strength, destruction and safety of structures, etc. Technologies and software systems that provide effective solutions to the problems at various multi-scale levels are considered. Special attention is paid to the training of highly qualified specialists for the aviation and space industry. The book is recommended for specialists in the field of applied mathematics and mechanics, mathematical modeling, information technologies, and developers of modern applied software systems.

Physical limnology. Advances in Applied Mech. 27, 303–475. [p. 285.] Ince, E.L. (1926). Ordinary Differential Equations. Reprinted by Dover (1956), 558 pp. [p. 208.] Ippen, A.T. (1951). Mechanics of supercritical flow. Trans. Amer. Soc.

Author: Peter G. Baines

Publisher: Cambridge University Press

ISBN: 9781108613651

Category: Science

Page:

View: 885

Covering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmosphere and ocean.

Applied Mathematics and Mechanics. 2018 Sep;39(9):1311-26. Waqas M, Shehzad SA, Hayat T, Khan MI, Alsaedi A. Simulation of magnetohydrodynamics and radiative heat transport in convectively heated stratified flow of Jeffrey nanofluid.

Author: B. Mahanthesh

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110696127

Category: Technology & Engineering

Page: 263

View: 853

This book aims to include various significant research topics of mathematical fluid mechanics having relevance or applications in engineering and applied sciences, covering the tools and techniques used for developing mathematical methods and modelling related to real-life situations.

Wave propagation in a stratified shear flow. Journal of Fluid Mechanics, 71, 89–104. Henningson, D. S. (1988). The inviscid initial value problem for a piecewise linear mean flow. Studies in Applied Mathematics, 78, 31–56.

Author: Akiva M. Yaglom

Publisher: Springer Science & Business Media

ISBN: 9789400742376

Category: Technology & Engineering

Page: 600

View: 850

This book is a complete revision of the part of Monin & Yaglom's famous two-volume work "Statistical Fluid Mechanics: Mechanics of Turbulence" that deals with the theory of laminar-flow instability and transition to turbulence. It includes the considerable advances in the subject that have been made in the last 15 years or so. It is intended as a textbook for advanced graduate courses and as a reference for research students and professional research workers. The first two Chapters are an introduction to the mathematics, and the experimental results, for the instability of laminar (or inviscid) flows to infinitesimal (in practice "small") disturbances. The third Chapter develops this linear theory in more detail and describes its application to particular problems. Chapters 4 and 5 deal with instability to finite-amplitude disturbances: much of the material has previously been available only in research papers.

Grimshaw, R.: Models for instability in inviscid fluid flows due to resonance between two waves. ... Boca Raton (2000) Grimshaw, R., Skyrnnikov, Y.: Long-wave instability in a three-layer stratified shear flow. Stud. Appl. Math.

Author: Ramon G. Rubio

Publisher: Springer

ISBN: 9783642340703

Category: Science

Page: 799

View: 618

Bringing together over fifty contributions on all aspects of nonlinear and complex dynamics, this impressive topical collection is both a scientific and personal tribute, on the occasion of his 70th birthday, by many outstanding colleagues in the broad fields of research pursued by Prof. Manuel G Velarde. The topics selected reflect the research areas covered by the famous Instituto Pluridisciplinar at the Universidad Complutense of Madrid, which he co-founded over two decades ago, and include: fluid physics and related nonlinear phenomena at interfaces and in other geometries, wetting and spreading dynamics, geophysical and astrophysical flows, and novel aspects of electronic transport in anharmonic lattices, as well as topics in neurodynamics and robotics.

Texts in Applied Mathematics , 4. ... and fluid flows . Cambridge Monographs on Mechanics and Applied Mathematics . ... [ 8 ] Low Froude number limiting dynamics for stably stratified flow with small or finite Rossby numbers . Geophys .

Author: Andrew Majda

Publisher: American Mathematical Soc.

ISBN: 0821883496

Category: Mathematics

Page: 234

View: 649

Written by a leading specialist in the area of atmosphere/ocean science (AOS), the book presents an excellent introduction to this important topic. The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce mathematicians to the fascinating and important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers. The lecture notes emphasize the serendipitous connections between applied mathematics and geophysical flows in the style of modern applied mathematics, where rigorous mathematical analysis as well as asymptotic, qualitative, and numerical modeling all interact to ease the understanding of physical phenomena. Reading these lecture notes does not require a previous course in fluid dynamics, although a serious reader should supplement these notes with material such The book is intended for graduate students and researchers working in interdisciplinary areas between mathematics and AOS. It is excellent for supplementary course reading or independent study.

Author: Environmental Science Information Center. Library and Information Services DivisionPublish On: 1977

Institute of Fluid Dynamics and Applied Mathematics . Technical note BN - 744 ) Supported by U.S. Atomic ... 778 Gage , Kenneth S. — THEORETICAL RESEARCH ON THE STA- BILITY OF THERMALLY STRATIFIED VISCOUS PARALLEL FLOW ; final report .

Author: Environmental Science Information Center. Library and Information Services Division