CONVECTIVE HEAT TRANSFER: SOLVED PROBLEMS
1 1 FUNDAMENTAL EQUATIONS 1 1 1 LOCAL EQUATIONS 1 1 2 INTEGRAL CONSERVATION EQUATIONS 1 1 3 BOUNDARY CONDITIONS 1 1 4 HEAT-TRANSFER COEFFICIENT 1 2 DIMENSIONLESS NUMBERS 1 3 FLOWS WITH VARIABLE PHYSICAL PROPERTIES: HEAT TRANSFER IN A LAMINAR COUETTE FLOW 1 3 1 DESCRIPTION OF THE PROBLEM 1 3 2 GUIDELINES 1 3 3 SOLUTION 1 4 FLOWS WITH DISSIPATION 1 4 1 DESCRIPTION OF THE PROBLEM 1 4 2 GUIDELINES 1 4 3 SOLUTION 1 5 COOLING OF A SPHERE BY A GAS FLOW 1 5 1 DESCRIPTION OF THE PROBLEM 1 5 2 GUIDELINES 1 5 3 SOLUTION CHAPTER 2 LAMINAR FULLY DEVELOPED FORCED CONVECTION IN DUCTS 2 1 HYDRODYNAMICS 2 1 1 CHARACTERISTIC PARAMETERS 2 1 2 FLOW REGIONS 2 2 HEAT TRANSFER 2 2 1 THERMAL BOUNDARY CONDITIONS 2 2 2 BULK TEMPERATURE 2 2 3 HEAT-TRANSFER COEFFICIENT 2 2 4 FULLY DEVELOPED THERMAL REGION 2 3 HEAT TRANSFER IN A PARALLEL-PLATE CHANNEL WITH UNIFORM WALL HEAT FLUX 2 3 1 DESCRIPTION OF THE PROBLEM 2 3 2 GUIDELINES 2 3 3 SOLUTION 2 4 FLOW IN A PLANE CHANNEL INSULATED ON ONE SIDE AND HEATED AT UNIFORM TEMPERATURE ON THE OPPOSITE SIDE 2 4 1 DESCRIPTION OF THE PROBLEM 2 4 2 GUIDELINES 2 4 3 SOLUTION CHAPTER 3 FORCED CONVECTION IN BOUNDARY LAYER FLOWS 3 1 HYDRODYNAMICS 3 1 1 PRANDTL EQUATIONS 3 1 2 CLASSIC RESULTS 3 2 HEAT TRANSFER 3 2 1 EQUATIONS OF THE THERMAL BOUNDARY LAYER 3 2 2 SCALE ANALYSIS 3 2 3 SIMILARITY TEMPERATURE PROFILES 3 3 INTEGRAL METHOD 3 3 1 INTEGRAL EQUATIONS 3 3 2 PRINCIPLE OF RESOLUTION USING THE INTEGRAL METHOD 3 4 HEATED JET NOZZLE 3 4 1 DESCRIPTION OF THE PROBLEM 3 4 2 SOLUTION 3 5 ASYMPTOTIC BEHAVIOR OF THERMAL BOUNDARY LAYERS 3 5 1 DESCRIPTION OF THE PROBLEM 3 5 2 GUIDELINES 3 5 3 SOLUTION 3 6 PROTECTION OF A WALL BY A FILM OF INSULATING MATERIAL 3 6 1 DESCRIPTION OF THE PROBLEM 3 6 2 GUIDELINES 3 6 3 SOLUTION 3 7 COOLING OF A MOVING SHEET 3 7 1 DESCRIPTION OF THE PROBLEM 3 7 2 GUIDELINES 3 7 3 SOLUTION 3 8 HEAT TRANSFER NEAR A ROTATING DISK 3 8 1 DESCRIPTION OF THE PROBLEM 3 8 2 GUIDELINES 3 8 3 SOLUTION 3 9 THERMAL LOSS IN A DUCT 3 9 1 DESCRIPTION OF THE PROBLEM 3 9 2 GUIDELINES 3 9 3 SOLUTION 3 10 TEMPERATURE PROFILE FOR HEAT TRANSFER WITH BLOWING 3 10 1 DESCRIPTION OF THE PROBLEM 3 10 2 SOLUTION CHAPTER 4 FORCED CONVECTION AROUND OBSTACLES 4 1 DESCRIPTION OF THE FLOW 4 2 LOCAL HEAT-TRANSFER COEFFICIENT FOR A CIRCULAR CYLINDER 4 3 AVERAGE HEAT-TRANSFER COEFFICIENT FOR A CIRCULAR CYLINDER 4 4 OTHER OBSTACLES 4 5 HEAT TRANSFER FOR A RECTANGULAR PLATE IN CROSS-FLOW 4 5 1 DESCRIPTION OF THE PROBLEM 4 5 2 SOLUTION 4 6 HEAT TRANSFER IN A STAGNATION PLANE FLOW UNIFORM TEMPERATURE HEATING 4 6 1 DESCRIPTION OF THE PROBLEM 4 6 2 GUIDELINES 4 6 3 SOLUTION 4 7 HEAT TRANSFER IN A STAGNATION PLANE FLOW STEP-WISE HEATING AT UNIFORM FLUX 4 7 1 DESCRIPTION OF THE PROBLEM 4 7 2 GUIDELINES 4 7 3 SOLUTION 4 8 TEMPERATURE MEASUREMENTS BY COLD-WIRE 4 8 1 DESCRIPTION OF THE PROBLEM 4 8 2 GUIDELINES 4 8 3 SOLUTION CHAPTER 5 EXTERNAL NATURAL CONVECTION 5 1 INTRODUCTION 5 2 BOUSSINESQ MODEL 5 3 DIMENSIONLESS NUMBERS SCALE ANALYSIS 5 4 NATURAL CONVECTION NEAR A VERTICAL WALL 5 4 1 EQUATIONS 5 4 2 SIMILARITY SOLUTIONS 5 5 INTEGRAL METHOD FOR NATURAL CONVECTION 5 5 1 INTEGRAL EQUATIONS 5 5 2 SOLUTION 5 6 CORRELATIONS FOR EXTERNAL NATURAL CONVECTION 5 7 MIXED CONVECTION 5 8 NATURAL CONVECTION AROUND A SPHERE 5 8 1 DESCRIPTION OF THE PROBLEM 5 8 2 SOLUTION 5 9 HEATED JET NOZZLE 5 9 1 DESCRIPTION OF THE PROBLEM 5 9 2 SOLUTION 5 10 SHEAR STRESS ON A VERTICAL WALL HEATED AT UNIFORM TEMPERATURE 5 10 1 DESCRIPTION OF THE PROBLEM 5 10 2 SOLUTION 5 11 UNSTEADY NATURAL CONVECTION 5 11 1 DESCRIPTION OF THE PROBLEM 5 11 2 GUIDELINES 5 11 3 SOLUTION 5 12 AXISYMMETRIC LAMINAR PLUME 5 12 1 DESCRIPTION OF THE PROBLEM 5 12 2 SOLUTION 5 13 HEAT TRANSFER THROUGH A GLASS PANE 5 13 1 DESCRIPTION OF THE PROBLEM 5 13 2 GUIDELINES 5 13 3 SOLUTION 5 14 MIXED CONVECTION NEAR A VERTICAL WALL WITH SUCTION 5 14 1 DESCRIPTION OF THE PROBLEM 5 14 2 GUIDELINES 5 14 3 SOLUTION CHAPTER 6 INTERNAL NATURAL CONVECTION 6 1 INTRODUCTION 6 2 SCALE ANALYSIS 6 3 FULLY DEVELOPED REGIME IN A VERTICAL DUCT HEATED AT CONSTANT TEMPERATURE 6 4 ENCLOSURE WITH VERTICAL WALLS HEATED AT CONSTANT TEMPERATURE 6 4 1 FULLY DEVELOPED LAMINAR REGIME 6 4 2 REGIME OF BOUNDARY LAYERS 6 5 THERMAL INSULATION BY A DOUBLE-PANE WINDOW 6 5 1 DESCRIPTION OF THE PROBLEM 6 5 2 SOLUTION 6 6 NATURAL CONVECTION IN AN ENCLOSURE FILLED WITH A HEAT GENERATING FLUID 6 6 1 DESCRIPTION OF THE PROBLEM 6 6 2 SOLUTION 6 7 ONE-DIMENSIONAL MIXED CONVECTION IN A CAVITY 6 7 1 DESCRIPTION OF THE PROBLEM 6 7 2 GUIDELINES 6 7 3 SOLUTION CHAPTER 7 TURBULENT CONVECTION IN INTERNAL WALL FLOWS 7 1 INTRODUCTION 7 2 HYDRODYNAMIC STABILITY AND ORIGIN OF THE TURBULENCE 7 3 REYNOLDS AVERAGED NAVIER-STOKES EQUATIONS 7 4 WALL TURBULENCE SCALING 7 5 EDDY VISCOSITY-BASED ONE POINT CLOSURES 7 6 SOME ILLUSTRATIONS THROUGH DIRECT NUMERICAL SIMULATIONS 7 7 EMPIRICAL CORRELATIONS 7 8 EXACT RELATIONS FOR A FULLY DEVELOPED TURBULENT CHANNEL FLOW 7 8 1 REYNOLDS SHEAR STRESS 7 8 2 HEAT TRANSFER IN A FULLY DEVELOPED TURBULENT CHANNEL FLOW WITH CONSTANT WALL TEMPERATURE 7 8 3 HEAT TRANSFER IN A FULLY DEVELOPED TURBULENT CHANNEL FLOW WITH UNIFORM WALL HEAT FLUX 7 9 MIXING LENGTH CLOSURES AND THE TEMPERATURE DISTRIBUTION IN THE INNER AND OUTER LAYERS 7 9 1 DESCRIPTION OF THE PROBLEM 7 9 2 GUIDELINES 7 9 3 SOLUTION 7 10 TEMPERATURE DISTRIBUTION IN THE OUTER LAYER 7 10 1 DESCRIPTION OF THE PROBLEM 7 10 2 GUIDELINES 7 10 3 SOLUTION 7 11 TRANSPORT EQUATIONS AND REFORMULATION OF THE LOGARITHMIC LAYER 7 11 1 DESCRIPTION OF THE PROBLEM 7 11 2 GUIDELINES 7 11 3 SOLUTION 7 12 NEAR-WALL ASYMPTOTIC BEHAVIOR OF THE TEMPERATURE AND TURBULENT FLUXES 7 12 1 DESCRIPTION OF THE PROBLEM 7 12 2 GUIDELINES 7 12 3 SOLUTION 7 13 ASYMMETRIC HEATING OF A TURBULENT CHANNEL FLOW 7 13 1 DESCRIPTION OF THE PROBLEM 7 13 2 GUIDELINES 7 13 3 SOLUTION 7 14 NATURAL CONVECTION IN A VERTICAL CHANNEL IN TURBULENT REGIME 7 14 1 DESCRIPTION OF THE PROBLEM 7 14 2 GUIDELINES 7 14 3 SOLUTION CHAPTER 8 TURBULENT CONVECTION IN EXTERNAL WALL FLOWS 8 1 INTRODUCTION 8 2 TRANSITION TO TURBULENCE IN A FLAT PLATE BOUNDARY LAYER 8 3 EQUATIONS GOVERNING TURBULENT BOUNDARY LAYERS 8 4 SCALES IN A TURBULENT BOUNDARY LAYER 8 5 VELOCITY AND TEMPERATURE DISTRIBUTIONS 8 6 INTEGRAL EQUATIONS 8 7 ANALOGIES 8 8 TEMPERATURE MEASUREMENTS IN A TURBULENT BOUNDARY LAYER 8 8 1 DESCRIPTION OF THE PROBLEM 8 8 2 SOLUTION 8 9 INTEGRAL FORMULATION OF BOUNDARY LAYERS OVER AN ISOTHERMAL FLAT PLATE WITH ZERO PRESSURE GRADIENT 8 9 1 DESCRIPTION OF THE PROBLEM 8 9 2 GUIDELINES 8 9 3 SOLUTION 8 10 PRANDTL-TAYLOR ANALOGY 8 10 1 DESCRIPTION OF THE PROBLEM 8 10 2 GUIDELINES 8 10 3 SOLUTION 8 11 TURBULENT BOUNDARY LAYER WITH UNIFORM SUCTION AT THE WALL 8 11 1 DESCRIPTION OF THE PROBLEM 8 11 2 GUIDELINES 8 11 3 SOLUTION 8 12 TURBULENT BOUNDARY LAYERS WITH PRESSURE GRADIENT TURBULENT FALKNER-SKAN FLOWS 8 12 1 DESCRIPTION OF THE PROBLEM 8 12 2 GUIDELINES 8 12 3 SOLUTION 8 13 INTERNAL SUBLAYER IN TURBULENT BOUNDARY LAYERS SUBJECT TO ADVERSE PRESSURE GRADIENT 8 13 1 DESCRIPTION OF THE PROBLEM 8 13 2 GUIDELINES 8 13 3 SOLUTION 8 14 ROUGHNESS 8 14 1 DESCRIPTION OF THE PROBLEM 8 14 2 GUIDELINES 8 14 3 SOLUTION CHAPTER 9 TURBULENT CONVECTION IN FREE SHEAR FLOWS 9 1 INTRODUCTION 9 2 GENERAL APPROACH OF FREE TURBULENT SHEAR LAYERS 9 3 PLUMES 9 4 TWO-DIMENSIONAL TURBULENT JET 9 4 1 DESCRIPTION OF THE PROBLEM 9 4 2 GUIDELINES 9 4 3 SOLUTION 9 5 MIXING LAYER 9 5 1 DESCRIPTION OF THE PROBLEM 9 5 2 GUIDELINES 9 5 3 SOLUTION 9 6 DETERMINATION OF THE TURBULENT PRANDTL NUMBER IN A PLANE WAKE 9 6 1 DESCRIPTION OF THE PROBLEM 9 6 2 GUIDELINES 9 6 3 SOLUTION 9 7 REGULATION OF TEMPERATURE 9 7 1 DESCRIPTION OF THE PROBLEM 9 7 2 GUIDELINES 9 7 3 SOLUTION LIST OF SYMBOLS REFERENCES