Convective Heat and Mass Transfer in Rotating Disk Systems (eBook)

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