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Rabas and Taborek correlation, for heat transfer in banks of low fin tubes, Rackett equation (modified) for liquid density Radiation: Radiation shields, in radiation heat transfer, Radiation source analysis, Radiative heat transfer: Radiators, automotive, construction, Radiometers, application in gas radiation property measurement, Radiosity, Stephan's law for, Radiosity-irradiation formulations in radiative heat transfer, Rankine cycle in refrigeration, Rao, B K Raoult's law for partial pressure, Rating of heat exchangers, Rayleigh instability, in free convection, Rayleigh number Reay, D Reboilers: Reciprocal mode integrating sphere, for reflection and transmission measurements in radiation, Rectangles: Rectangular ducts: Rectangular enclosures, free convective heat transfer in: Rectangular fins, for plate fin exchangers Reduced pressure, correlations for pool boiling using, Reference temperature: Refinery processes, fouling in, Reflection, of thermal radiation, from solid surfaces: Reflectivity, of solid surfaces, Reflectometer, heated cavity, Reflux condensers, Refractories, density of, Refractory surfaces, Refrigerants: Refrigerant 11 (Trichlorofluoromethane): Refrigerant 12 (Dichlorodifluoromethane): Refrigerant 13 (Chlorotrifluoromethane): Refrigerant 21 (Dichlorofluoromethane): Refrigerant 22 (Chlorodifluoromethane): Refrigerant 116: Refrigerant plant, entropy generation in, Refrigeration, heat transfer in, Regenerators and thermal energy storage, Regimes of heat transfer, in ducts, single phase flow, Reidel method, for predicting enthalpy of vaporisation, Reinforcing rings, for expansion bellows, Relaminarization, of turbulent flow, Reichenberg method, for effect of pressure on gas viscosity, Relief system design for shell-and-tube heat exchangers with tube side failure, Removal of fouling deposits: Renewable fuels, properties of, Renotherm, heat transfer medium, Repair, of expansion bellows, Residence times, in dryers: Resistance network analysis, Resistance (thermal) due to fouling: Reversible (minimum) work, in Reynolds number, Reynolds stress models, for turbulence, Rheologically complex materials, properties of: Rheological properties of drag reducing agents Rheology, shear flow experiments used in, Rhine, J M, Ribatski, G, Riblets for drag reduction, Richardson number, Richie, J M, Ring cells, in free convection, RODbaffles, in tube bundles with longitudinal flow, Rod bundles: Rohsenow correlation, for nucleate boiling, Roll cells, in free convection, Roller expansion, of tubes into tube sheets, Rose, J W, Rossby number, Rotary dryer, Rotating drums, heat transfer to particle bed in, Rotating surface, in an annular duct Rotation, as device for heat transfer augmentation, Roughness, surface: Rough walled passages, radiative heat transfer down, Rubber (sponge) balls, in fouling mitigation, Ryznar index for water quality,
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Free Convection Around Immersed Bodies

DOI 10.1615/hedhme.a.000174

2.5.7 Free convection around immersed bodies

A difference in temperature between the surface of a body and the surrounding, unconfined fluid produces a gradient in density, which in turn generates fluid motion. This motion increases the rate of heat transfer between the body and the fluid over that corresponding to pure thermal conduction. The process of motion and heat transfer due to such motion is called free convection.

A difference in composition between the surface of the body and the surrounding fluid may also produce a gradient in density, hence fluid motion and enhanced transfer of species (mass transfer). Insofar as the net transfer of mass from the surface is small relative to the mass rate of flow, the rate of transfer of species can be inferred from the results herein for heat transfer. When a difference in temperature and a difference in composition both occur, the rates of heat and species transfer are affected by both differences.

Free convection may also occur as a result of other potential differences, such as surface tension and magnetic fields, but such special processes will not be considered here. Combined free and forced convection is discussed in Section 176 and Section 177.

A well established theory has been developed for free convection in the laminar boundary-layer regime. It provides a priori predictions and a fundamental structure for the correlation of experimental results. The development of computing facilities and techniques has led to numerical solutions for even a wider range of flow and conditions within the laminar regime. Even so, many problems of intrinsic and practical interest remain unresolved.

The theory of turbulent free convection is less well established. Numerical solutions based on eddy diffusivities for momentum and heat transfer are currently at a critical stage of development, and results of increasing reliability and extent are to be expected.

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