Shevchuk Convective Heat and Mass Transfer in Rotating Disk Systems

1. Auflage 2009
ISBN: 978-3-642-00718-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 45, 236 Seiten

Reihe: Lecture Notes in Applied and Computational Mechanics

The book is devoted to investigation of a series of problems of convective heat and mass transfer in rotating-disk systems. Such systems are widespread in scienti?c and engineering applications. As examples from the practical area, one can mention gas turbine and computer engineering, disk brakes of automobiles, rotating-disk air cleaners, systems of microclimate, extractors, dispensers of liquids, evaporators, c- cular saws, medical equipment, food process engineering, etc. Among the scienti?c applications, it is necessary to point out rotating-disk electrodes used for experim- tal determination of the diffusion coef?cient in electrolytes. The system consisting of a ?xed disk and a rotating cone that touches the disk by its vertex is widely used for measurement of the viscosity coef?cient of liquids. For time being, large volume of experimental and computational data on par- eters of ?uid ?ow, heat and mass transfer in different types of rotating-disk systems have been accumulated, and different theoretical approaches to their simulation have been developed. This obviously causes a need of systematization and generalization of these data in a book form.

Autoren/Hrsg.

Shevchuk, Igor V.

Inhaltsverzeichnis

1;Preface;7
2;Contents;10
3;General Characteristic of Rotating-Disk Systems;21
3.1;1.1 Industrial Applications of Rotating-Disk Systems;21
3.2;1.2 Acting Forces;22
3.3;1.3 Differential Equations of Continuity, Momentum and Heat Transfer;24
3.4;1.4 Differential Equation of Convective Diffusion;29
4;Modelling of Fluid Flow and Heat Transfer in Rotating- Disk Systems;30
4.1;2.1 Differential and Integral Equations ;30
4.2;2.2 Differential Methods of Solution ;34
4.3;2.3 Integral Methods of Solution ;37
4.4;2.4 Integral Method for Modelling Fluid Flow and Heat Transfer in Rotating- Disk Systems ;42
4.5;2.5 General Solution for the Cases of Disk Rotation in a Fluid Rotating as a Solid Body and Simultaneous Accelerating Imposed Radial Flow;48
5;Free Rotating Disk;51
5.1;3.1 Laminar Flow;51
5.2;3.2 Transition to Turbulent Flow and Effect of Surface Roughness;55
5.3;3.3 Turbulent Flow ;59
5.4;3.4 Generalized Analytical Solution for Laminar and Turbulent Regimes Based on the Novel Model for the Enthalpy Thickness;76
5.5;3.5 Inverse Problem of Restoration of the Wall Temperature Distribution at a Specified Arbitrary Power Law for the Nusselt Number ;79
5.6;3.6 Theory of Local Modelling ;90
6;Unsteady Laminar Heat Transfer of a Free Rotating Disk;95
6.1;4.1 Transient Experimental Technique for Measuring Heat Transfer over Rotating Disks;95
6.2;4.2 Self-Similar NavierÒStokes and Energy Equations;97
6.3;4.3 Exact Solution for Surface Heat Transfer of an Isothermal Rotating Disk;100
6.4;4.4 Numerical Solution of an Unsteady Conjugate Problem of Hydrodynamics and Heat Transfer of an Initially Isothermal Disk ;103
6.5;4.5 Unsteady Conjugate Laminar Heat Transfer of a Rotating Non- uniformly Heated Disk ;109
7;External Flow Imposed over a Rotating Disk;119
7.1;5.1 Rotation of a Disk in a Fluid Rotating as a Solid Body Without Imposed Radial Flow ;119
7.2;5.2 Accelerating Radial FlowWithout Imposed External Rotation ;136
7.3;5.3 Non-symmetric Flow over a Parallel Rotating Disk;161
8;Outward Underswirled and Overswirled Radial Flow Between Parallel Co- rotating Disks;165
8.1;6.1 Flow in the Ekman Layers;165
8.2;6.2 Radial Outflow Between Parallel Co-rotating Disks ;166
8.3;6.3 Effect of the Flow Overswirl;182
8.4;6.4 Aerodynamics and Heat Transfer in a Rotating-Disk Air Cleaner ;186
9;Laminar Fluid Flow and Heat Transfer in a Gap Between a Disk and a Cone that Touches the Disk with Its Apex;196
9.1;7.1 General Characterization of the Problem;196
9.2;7.2 Navier-Stokes and Energy Equations in the Self-similar Form;198
9.3;7.3 Rotating Disk and/or Cone ;201
9.4;7.4 Radially Outward Swirling Flow in a Stationary Conical Diffuser;206
10;Heat and Mass Transfer of a Free Rotating Disk for the Prandtl and Schmidt Numbers Larger than Unity;210
10.1;8.1 Laminar Flow;210
10.2;8.2 Transitional and Turbulent Flows for the Prandtl or Schmidt Numbers Moderately Different from Unity;218
10.3;8.3 Transitional and Turbulent Flows at High Prandtl and Schmidt Numbers;225
10.4;8.4 An Integral Method for Modelling Heat and Mass Transfer in Turbulent Flow for the Prandtl and Schmidt Numbers Larger than Unity ;231
11;References;242
12;Index;252