Master your Minecraft
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Tour our stores


    Recently Viewed clear list


    Best Books of the Year | December 7, 2014

    Gigi Little: IMG Best Kids' Books of 2014



    No, I'm sorry, it's impossible. The best kids' books of 2014? The best? Can't do it. There have been entirely too many exceptional examples of the... Continue »
    1. $11.87 Sale Board Book add to wish list

      Countablock

      Christopher Franceschelli and Peskimo 9781419713743

    spacer
Qualifying orders ship free.
$252.95
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Physics- Fluid Mechanics

Fluid Mechanics and Its Applications #90: Convection in Fluids: A Rational Analysis and Asymptotic Modelling

by

Fluid Mechanics and Its Applications #90: Convection in Fluids: A Rational Analysis and Asymptotic Modelling Cover

 

Synopses & Reviews

Publisher Comments:

In the present monograph, entirely devoted to "Convection in Fluids", the purpose is to present 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 the free surface deformation are taken into account. In the case of the atmospheric thermal convection, the Coriolis force and stratification effects are also considered. The main motivation is to give a rational, analytical, analysis of main above mentioned physical effects in each case, 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 initiales (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 with a view of a numerical coherent simulation on a high speed computer.

Synopsis:

This monograph is entirely devoted to convection in fluids. It presents a unified rational approach of various convective phenomena in fluids where the main driving mechanism is the buoyancy force or temperature-dependent surface tension in homogeneities.

Synopsis:

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.

Table of Contents

 (provisional) Preface and Acknowledgments 1 Short Preliminary Comments and Summary of Chapters 2 to 10 1 . 1 Introduction 1.2 Summary of the chapters 2 to 10 2 The Navier-Stokes and Fourier Problem 2. 1 Some relations of the thermodynamics 2.2 The case of a thermally perfect gas 2.3 The case of an expansible liquid 2.4 The NS-F starting problem 2.4.1 Equations 2.4.2 Initial and boundary conditions 2.5 SQme comments 3 The Simple Rayleigh (1916) Thermal Convection Problem 3. 1 Formulation of the exact simplified (a la Rayleigh) problem 3.2 Dimensionless dominant Rayleigh problem and the Boussinesq approximation 3.3 The Rayleigh-Bénard (RB), rigid-rigid, problem as a leading-order approximate model 3.4 Associated, to RB problem, second-order model problem 4 The Bénard (1900, 1901), Heated from Below, Convection Problem 4.1 The mathematical formulation of the full Bénard convection problem heated from below 4. 1 . 1 Bénard, basic motionless conduction, effect 4. 1 .2 Marangoni, temperature dependent surface tension, effect 4. 1 .3 Biot, heat flux through the upper surface, effect 4.4.4 Boussinesq, buoyancy, effect 4.2 Dimensionless analysis and reduced parameters 4.3 Dominant equations 4.4 Dominant boundary conditions 4.5 An 'alternative' 4.6 Three significant cases: 4.6. 1 Shallow convection 4.6.2 Deep convection 4.6.3 Marangoni convection 5 Thermal Shallow Convection Problem, 'a la Rayleigh-Bénard' 5. 1 The RB rigid-free instability problem as a significant leading-order model problem 5.2 The free surface, Marangoni and Biot effects 5.3 Second-order non Boussinesq and viscous dissipation effects 5.4 Linear classical theory 5.5 Some comments and complements 6 The Deep Thermal Convection Problem, 6. 1 The viscous dissipation effect and the 'depth' parameter 6.2 The deep thermal convection problem, 'a la Zeytounian' 6.3 The Charki, Errafyi and Zeytounian results: 6.3.1 Linear theory 6.3.2 Routes to chaos, 6.3.3 Lorenz system 6.3.4 Landau -Ginzburg equation 6 6.4 The Straughan and Charki rigorous mathematical results 6.5 The Hills and Roberts approach 7 The Thermocapilary, Marangoni, Convection Problem 7. 1 The free surface effects and the ' 'Biot paradox" 7.2 The Bénard-Marangoni model problem 7.3 The long-wave approximation and the lubrication evolution equation for the thickness of the film 7.4 Freely falling vertical film 7.5 The KS and KS-KdV approximate equations 7 . 6 Stability results 7.7 Complements 8 Summing Up of the Three Cases Related with the Bénard, Heated from Below, Convection Problem 8. 1 The consistent conditions for the Rayleigh-Bénard model problem 8. 1 . 1 Constraints on the thickness of the fluid layer 8. 1 .2 The role of the viscous dissipation term 8. 1 .3 An equation for the free surface deformation 8.2 The particularity of the deep thermal convection model problem 8.2. 1 The role of the 'depth' parameter and the effect of the viscous dissipation 8.2.2 The variation of the critical Rayleigh numbers as a function of the depth parameter 8.3 The thin viscous liquid film, Marangoni, case 8.3.1 Constraints on the thickness of the liquid layer 8.3.2 The role of the free surface deformation 8.3..3 Constraints for a reduced long wave film problem 9 Atmospheric Thermal Convection Problems 9. 1 The Coriolis force and stratification effects 9.2 A rigorous formulation of the atmospheric free thermal convection 9.3 The Boussinesq approximation and the breeze problem 9.4 Infuence of a local temperature field in an atmospheric Ekman layer; a triple-deck approach 9.5 A periodic thermal free-convection problem over a curvilinear wall; the 'double boundary-layer' effect 'a la Stuart-Riley' 9.6 Complements 10 Miscellaneous: Various Convection Model Problems 10. 1 Convection in the Eart's outer core 10.2 Electro, Ferro, Solar, mantle, planetary and Magneto- hydrodynamic convections 10.3 Averaged integral boundary layer models; the results of Shkadov, Zeytounian and Ruyer-Quil 10.4 Coupled system of two evolution equations for the two- dimensional free films. 10.5 Ultra-thin films 10.6 Convection in ocean - thermosolutal convection 10.7 Some recent results References Index

Product Details

ISBN:
9789048124329
Author:
Zeytounian, R. Kh
Publisher:
Springer
Author:
Zeytounian, Radyadour Kh.
Author:
Zeytounian, Radyadour Kh
Subject:
Mechanics - Dynamics - Fluid Dynamics
Subject:
Applied
Subject:
Mechanics - Dynamics - Thermodynamics
Subject:
Bnard problem
Subject:
Marangoni effect
Subject:
buoyancy force
Subject:
convection in fluids
Subject:
convective phenomena
Subject:
Engineering Fluid Dynamics
Subject:
Engineering Thermodynamics, Heat and Mass Transfer
Subject:
Mathematical Modeling and Industrial Mathematics
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Physics-Fluid Mechanics
Subject:
Engineering - Mechanical
Copyright:
Edition Description:
Book
Series:
Fluid Mechanics and Its Applications
Series Volume:
90
Publication Date:
20090804
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
412
Dimensions:
235 x 155 mm 1670 gr

Related Subjects


Reference » Science Reference » General
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Physics » Fluid Mechanics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Thermodynamics

Fluid Mechanics and Its Applications #90: Convection in Fluids: A Rational Analysis and Asymptotic Modelling New Hardcover
0 stars - 0 reviews
$252.95 In Stock
Product details 412 pages Springer - English 9789048124329 Reviews:
"Synopsis" by , This monograph is entirely devoted to convection in fluids. It presents a unified rational approach of various convective phenomena in fluids where the main driving mechanism is the buoyancy force or temperature-dependent surface tension in homogeneities.
"Synopsis" by , 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.
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.