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  • Produktbild: Convection in Liquids
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Convection in Liquids

Fr. 137.00

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.12.2011

Verlag

Springer Berlin

Seitenzahl

680

Maße (L/B/H)

23.5/15.5/3.8 cm

Gewicht

1047 g

Auflage

Softcover reprint of the original 1st ed. 1984

Sprache

Englisch

ISBN

978-3-642-82097-7

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.12.2011

Verlag

Springer Berlin

Seitenzahl

680

Maße (L/B/H)

23.5/15.5/3.8 cm

Gewicht

1047 g

Auflage

Softcover reprint of the original 1st ed. 1984

Sprache

Englisch

ISBN

978-3-642-82097-7

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Convection in Liquids
  • Produktbild: Convection in Liquids
  • A : Introduction.- I — Fundamental Laws and Basic Concepts.- 1. Balance equations for incompressible fluids.- A. Conservation of mass.- B. Conservation of momentum.- C. Conservation of energy.- 2. Fundamental thermodynamic relations ; entropy balance equation and second law.- A. Alternative forms of the energy balance equation.- B. The entropy balance equation and the second law of thermodynamics.- 3. Kinetic and constitutive equations.- 4. Systems of coordinates.- A. Rectangular coordinates.- B. Cylindrical coordinates.- C. Special two-dimentional case : the stream function.- 5. Equations for the fluctuations around a steady state.- 6. Definition of stability.- 7. Normal modes.- 8. Dimensionless numbers in fluid dynamics and heat transfer problems.- Exercices.- Bibliographical notes.- II — Mathematical Background and Computational Techniques.- 1. Use of variational principles and/or stationary properties of integrals.- A. Elements of variational calculus. The Euler-Lagrange equations.- B. Variational approach to the conservations laws based on nonequilibrium thermodynamics : the theory of the local potential.- C. The numerical methods associated with the local potential theory.- D. Relation between the local potential and the Galerkin techniques.- 2. Applications to stability problems.- A. The excess local potential.- B. Variational methods for linear eigenvalue problems.- C. Stability criterion based on Lyapounov function.- 3. Purely numerical techniques.- A. Finite differences methods.- B. Conversion of a boundary value problem into an initial value problem.- Exercices.- Bibliographical notes.- B : Fluids at Constant Density, Isothermal Forced Convection.- III — Planar Flows of Newtonian Fluids.- 1. Poiseuille and Couette flow.- A. Plane Poiseuille flow and Poiseuille flow in rectangular channels.- B. Plane Couette flow.- 2. General statements of linear hydrodynamic stability of forced convection.- A. The Orr-Sommerfeld equation.- B. Variational or stationary presentations of the Orr-Sommerfeld equation. Its relation with the Galerkin technique.- C. The Chock-Schechter integration scheme.- D. The Orr and the Prigogine-Glansdorff criterion.- 3. Numerical solutions of the Orr-Sommerfeld equation.- A. Selection of trial functions.- B. Solution for U = constant.- C. Solution for plane Poiseuille flow.- a. Effect of trial functions.- b. High Reynolds numbers.- c. Two and three dimensional perturbations without elimination of variables. Relation to Squire’s theorem.- d. Finite difference methods.- e. Solution using the Chock-Schechter method.- f. General discussion, comparison with experiments.- D. Solution for Couette flow.- 4. Nonlinear stability of Poiseuille flow.- A. Introduction.- B. A restricted variational approach to the nonlinear equations.- C. Influence of the initial amplitude of the disturbance.- 5. An oscillatory solution in planar-Poiseuille flow.- A. Introduction.- B. Existence of statistically steady states.- C. Existence of periodic flows.- D. Stability and/or instability of the new periodic flow.- 6. Remarks on the transition to turbulence.- Bibliographical notes.- IV — Cylindrical Flows of Newtonian Fluids.- 1. A. Poiseuille flow in a pipe.- B. Poiseuille flow down an annular pipe.- 2. General statements on linear stability of forced convection in cylindrical coordinates.- A. An equivalent of the Orr-Sommerfeld equation.- B. Non axisymmetric disturbances.- 3. Linear stability of pipe Poiseuille flow.- A. Stability with respect to two-dimensional axisymmetric disturbances.- B. Stability with respect to three-dimensional non axisymmetric disturbances.- Bibliographical notes.- V — Flow Stability of Non-Newtonian Fluids.- 1. Stress-Strain relations for some particular non-newtonian fluids.- A. Introduction.- B. The Coleman-Noll model.- 2. Stability of plane Poiseuille flow for a second order viscoelastic fluid.- A. The generalized Orr-Sommerfeld equation.- B. The solution of the generalized Orr-Sommerfeld equation for plane flow.- C. Plane Poiseuille flow : sufficient condition for stability.- D. Instability of plane Poiseuille flow of a second order fluid : a numerical result.- 3. Stability of pipe Poiseuille flow for a second order fluid..- Bibliographical notes.- C : Non Isothermal One Component Systems.- VI — Free Convection in One Component Fluid.- 1. Introduction.- 2. The linear theory of the Bénard problem.- A. The eigenvalue problem. Its solution for simple boundary conditions.- B. Solutions based on approximate numerical calculations.- a. The local potential method.- b. The Chock-Schechter numerical integration.- C. Solution based on the thermodynamic stability criterion.- D. Experimental aspect.- E. Effect of lateral boundaries.- F. Extension of the Bénard problem.- a. Surface tension effect.- b. Effect of a magnetic field.- 3. The non-linear theory of the Bénard problem.- A. Approximate computational techniques.- B. Global properties of the flow.- a. Variation of the Nusselt number with the Rayleigh number (free boundary conditions).- b. Variation of the Nusselt number with the Rayleigh number (rigid boundary conditions).- c. Variation of the number of convective cells with the Rayleigh number.- C. Fine structure of the flow.- D. Behavior near threshold.- E. Behavior far from the critical point.- a. The Lorenz model.- b. The routes to turbulence.- 4. The thermogravitational process.- A. The steady state profile.- B. The stability of the steady state profile.- Bibliographical notes.- VII — Non Isothermal Forced Convection in a One-Component Fluid.- 1. General aspects of the effect of temperature gradients.- 2. Temperature gradients imposed by the boundary conditions.- 3. Temperature gradients due to viscous heating.- A. Experimental interest.- B. Cylindrical Poiseuille flow with viscous heating.- a. the steady state.- b. stability of cylindrical Poiseuille flow including viscous heating.- 4. Further discussion on the multiplicity of steady states when taking into account viscous heating.- Bibliographical notes.- VIII — Mixed Convection in a One-Component Fluid.- 1. Introduction in the Bénard problem with flow.- 2. Relation between two and three dimensional disturbances ; extension of Squire’s theorem.- 3. Experiments on the onset of free convection with a superposed small laminar flow.- 4. Effect of lateral boundaries.- Bibliographical notes.- D : Multicomponent Systems.- IX — Free Convection in a Multicomponent Fluid.- 1. Introduction to the influence of concentration gradients on hydrodynamic stability.- 2. Formulation of the linearized problem.- A. The conservation equations.- B. The thermohaline problem.- C. The effect of thermal diffusion (or Soret effect).- 3. The thermohaline convection : linear stability analysis.- A. The role of boundary conditions.- B. Free boundaries with specified solute concentrations and temperatures.- C. Experimental observations.- 4. Free convection with thermal diffusion : linear analysis.- A. Coupled equations for temperature and mass.- B. Exact solution of the simplified problem for free and pervious boundaries.- C. Variational solution for rigid boundaries.- D. 0.- B. Results for s < 0.- 3. Postface.- Bibliographical notes.- Appendix A.- Appendix B.