Convective Heat and Mass Transfer in Rotating Disk Systems

Cover -- Contents -- 1 General Characteristic of Rotating-Disk Systems -- 1.1 Industrial Applications of Rotating-Disk Systems -- 1.2 Acting Forces -- 1.3 Differential Equations of Continuity, Momentum and Heat Transfer -- 1.4 Differential Equation of Convective Diffusion -- 2 Modelling of Fluid Flow and Heat Transfer in Rotating-Disk Systems -- 2.1 Differential and Integral Equations -- 2.1.1 Differential NavierStokes and Energy Equations -- 2.1.2 Differential Boundary Layer Equations -- 2.1.3 Integral Boundary Layer Equations -- 2.2 Differential Methods of Solution -- 2.2.1 Self-Similar Solution -- 2.2.2 Approximate Analytical Methods for Laminar Flow Based on Approximations of Velocity Profiles -- 2.2.3 Numerical Methods -- 2.3 Integral Methods of Solution -- 2.3.1 Momentum Boundary Layer -- 2.3.2 Thermal Boundary Layer -- 2.4 Integral Method for Modelling Fluid Flow and Heat Transfer in Rotating-Disk Systems -- 2.4.1 Structure of the Method -- 2.4.2 Turbulent Flow: Improved Approximations of the Velocity and Temperature Profiles -- 2.4.3 Models of Surface Friction and Heat Transfer -- 2.4.4 Integral Equations with Account for the Models for the Velocity and Temperature Profiles -- 2.5 General Solution for the Cases of Disk Rotation in a Fluid Rotating as a Solid Body and Simultaneous Accelerating Imposed Radial Flow -- 3 Free Rotating Disk -- 3.1 Laminar Flow -- 3.2 Transition to Turbulent Flow and Effect of Surface Roughness -- 3.3 Turbulent Flow -- 3.3.1 Parameters of the Turbulent Boundary Layer -- 3.3.2 Surface Heat Transfer: Experimental and Theoretical Data of Different Authors -- 3.3.3 Effect of Approximation of the Radial Velocity Profile on Parameters of Momentum and Thermal Boundary Layers -- 3.3.4 Numerical Computation of Turbulent Flow and Heat Transfer for an Arbitrary Distribution of the Wall Temperature -- 3.4 Generalized Analytical Solution for Laminar and Turbulent Regimes Based on the Novel Model for the Enthalpy Thickness -- 3.5 Inverse Problem of Restoration of the Wall Temperature Distribution at a Specified Arbitrary Power Law for the Nusselt Number -- 3.5.1 Solution of the Problem -- 3.5.2 Limiting Case of the Solution -- 3.5.3 Properties of the Solution for Temperature Head -- 3.5.4 Analysis of the Solution -- 3.6 Theory of Local Modelling -- 3.6.1 Solution of the Problem -- 3.6.2 Other Interpretations -- 4 Unsteady Laminar Heat Transfer of a Free Rotating Disk -- 4.1 Transient Experimental Technique for Measuring Heat Transfer over Rotating Disks -- 4.2 Self-Similar NavierStokes and Energy Equations -- 4.3 Exact Solution for Surface Heat Transfer of an Isothermal Rotating Disk -- 4.4 Numerical Solution of an Unsteady Conjugate Problem of Hydrodynamics and Heat Transfer of an Initially Isothermal Disk -- 4.4.1 Computational Domain and Grid -- 4.4.2 Validation for Steady-State Fluid Flow and Heat Transfer -- 4.4.3 Unsteady Fluid Flow and Heat Transfer -- 4.5 Unsteady Conjugate Laminar Heat Transfer of a Rotating Non-uniformly Heated Disk -- 4.5.1 Problem Statement -- 4.5.2 Self-Similar Solution of the Transient Laminar Convective Heat Transfer Problem -- 4.5.3 Solution of the Unsteady Two-Dimensional Problem of Heat Conduction in a Disk -- 4.5.4 Analysis of the Solutions for Unsteady Heat Conduction in a Disk -- 5 External Flow Imposed over a Rotating Disk -- 5.1 Rotation of a Disk in a Fluid Rotating as a Solid Body Without Imposed Radial Flow -- 5.1.1 Turbulent Flow -- 5.1.2 Laminar Flow -- 5.2 Accelerating Ra.