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Showing papers on "Heat transfer published in 1972"


Journal ArticleDOI
TL;DR: In this article, a general, numerical, marching procedure is presented for the calculation of the transport processes in three-dimensional flows characterised by the presence of one coordinate in which physical influences are exerted in only one direction.

5,946 citations


Book ChapterDOI
TL;DR: In this paper, the authors discuss the heat transfer and the hydraulic resistance of single tubes, and the banks of tubes of various arrangements in flows of gases and viscous liquids, and highlight the influence of the physical properties of fluids on heat transfer.
Abstract: Publisher Summary This chapter discusses the heat transfer and the hydraulic resistance of single tubes, and the banks of tubes of various arrangements in flows of gases and viscous liquids. The focus is on the important problems of the heat transfer and the hydraulic resistance of tubes, in particular with the heat transfer of single tubes, banks of tubes, and systems of tubes in crossflow. The chapter also highlights the influence of the physical properties of fluids on heat transfer. Extensive experimental data will be analyzed and will include investigations of banks of tubes of various arrangements, and a single tube in crossflow in the range of Prandtl number from 0.7 to 500 and that of Reynolds number from 1 to 2xl0 6 .

1,181 citations


Journal ArticleDOI
TL;DR: In this paper, the Nusselt number for a wide range of packing materials and tube arrangements is given for randomly packed beds and compact (void fraction less than 0.65) staggered tube bundles.
Abstract: Previously obtained experimental heat transfer data have been collected and are illustrated along with minor variations of the standard correlations. Analysis of data for heat transfer in randomly packed beds and compact (void fraction less than 0.65) staggered tube bundles indicates that the Nusselt number for a wide range of packing materials and tube arrangements is given by provided NRe ≥ 50. The correlations presented in this paper are not necessarily the most accurate available; however, they have wide application, are easy to use, and are quite satisfactory for most design calculations.

1,048 citations


Book
01 Jan 1972
TL;DR: In this paper, the authors present an algorithm for Finned Array Assembly, which is based on linear transformations with simplified constraints and convection coefficients with real constraints, and they show that it achieves the optimum design of Radiating and Convecting-Radiating Fins.
Abstract: Preface. Convection with Simplified Constraints. Convection with Real Constraints. Convective Optimizations. Convection Coefficients. Linear Transformations. Elements of Linear Transformations. Algorithms for Finned Array Assembly. Advanced Array Methods and Array Optimization. Finned Passages. Compact Heat Exchangers. Longitudinal Fin Double-Pipe Exchangers. Transverse High-Fin Exchangers. Fins with Radiation. Optimum Design of Radiating and Convecting-Radiating Fins. Multidimensional Heat Transfer in Fins and Fin Assemblies. Transient Heat Transfer in Extended Surfaces. Periodic Heat Flow in Fins. Boiling From Finned Surfaces. Condensation on Finned Surfaces. Augmentation and Additional Studies. Appendix A: Gamma and Bessel Functions. Appendix B: Matrices and Determinants. References. Author Index. Subject Index.

995 citations


Journal ArticleDOI
K. Yamagata1, Kaneyasu Nishikawa1, Shu Hasegawa1, T. Fujii1, S Yoshida1 
TL;DR: In this article, a comprehensive set of data was obtained for pressures from 226 to 294 bar, bulk temperatures from 230 to 540°C, heat fluxes from 116 to 930 kW/m 2 and mass velocities from 310 to 1830 kg/m2s.

570 citations


Journal ArticleDOI
TL;DR: In this paper, the performance advantage of roughened tubes in heat exchanger design, relative to smooth tubes of equal diameter, is defined and the graphical results of example solutions are presented for the repeated-rib roughness.

404 citations


Book ChapterDOI
TL;DR: In this article, the complex nature of the natural convection phenomena in enclosures is discussed and the boundary value problem is formulated, assuming that the motion is two-dimensional and steady, the fluid is incompressible and frictional heating is negligible.
Abstract: Publisher Summary This chapter discusses the complex nature of the natural convection phenomena in enclosures. It discusses the two basic configurations of natural convection— that is, a rectangular cavity and a horizontal circular cylinder. In rectangular cavities, consideration is given to the two-dimensional convective motion generated by the buoyancy force on the fluid in a rectangle and to the associated heat transfer. The two long sides are vertical boundaries held at different temperatures and the short sides can either be heat conducting or insulated. Particular attention is given to the different flow regimes that can occur and the heat transfer across the fluid space between the two plane parallel vertical boundaries. Although heat transfer by radiation may not be negligible it is independent of the other types of heat transfer and can be fairly accurately calculated separately. To formulate the boundary value problem that describes this phenomena it is assumed that: (a) the motion is two-dimensional and steady, (b) the fluid is incompressible and frictional heating is negligible, and (c) the difference between the hot wall and cold wall temperatures is small relative to the absolute temperatures of the cold wall. In horizontal circular cylinder, consideration is given to the large Rayleigh number flow with the Prandtl number large and the Grashof number of unit order of the magnitude.

382 citations


Journal ArticleDOI
TL;DR: In this paper, the heat transfer between a fluid flowing through a packed bed and the wall is interpreted according to a one-dimensional model characterized by an overall heat transfer coefficient, hw and by two-dimensional models with one parameter, the effective thermal conductivity, ke or two parameters, the Effective Thermal Conductivity (ETC) λe and αw.

360 citations


Journal ArticleDOI
TL;DR: In this paper, a numerical and experimental investigation of the developing laminar free convection heat transfer in vertical parallel plate channels with asymmetric heating is presented, where the Nusselt number characterizing the total heat transfer to the fluid is found to be related to the Rayleigh number very nearly by a universal curve for all ratios of wall temperature differences.

330 citations


BookDOI
01 Jan 1972

231 citations


Journal ArticleDOI
TL;DR: In this paper, the turbulent Graetz problem is solved numerically for the lower eigenvalues and constants for Reynolds numbers in the range 10 4 Re 6 and for Prandtl numbers in range 0 Pr 4.

Journal ArticleDOI
TL;DR: In this article, a point successive-overrelaxation method was used to solve the thermal energy equation in curved tubes of circular cross section, where the curvature ratio was considered as an additional parameter.

Journal ArticleDOI
TL;DR: In this article, the authors measured energy transport at Rayleigh numbers up to 675 times the critical (linear stability theory) value in a layer of dilute electrolyte bounded horizontally by two rigid planes of constant and equal temperature; Joule heating by an alternating current passing horizontally through the layer provides the volumetric energy source.
Abstract: Energy transport at Rayleigh numbers up to 675 times the critical (linear stability theory) value is measured in a layer of dilute electrolyte bounded horizontally by two rigid planes of constant and equal temperature; Joule heating by an alternating current passing horizontally through the layer provides the volumetric energy source. Horizontally averaged temperature profiles are determined optically. Mean temperature distributions are asymmetric at elevated Rayleigh numbers, the energy transport at the upper boundary being more than twice that at the lower boundary. Three regimes of flow are identified and discrete transitions in the energy transport appear to exist when the flow is turbulent. Extrapolation of the data to the conduction value of the Nusselt number yields a critical Rayleigh number which is within + 10·7% of linear theory values. No subcritical convection is observed when finite amplitude disturbances are introduced into the fluid at a Rayleigh number between the critical values predicted by the linear stability theory and energy theory respectively.

Journal ArticleDOI
TL;DR: In this paper, the authors proposed a non-linear coupled hyperbolic simultaneous partial differential equations (SDPE) model for regenerative heat and mass exchanger, where heat and one or more adsorbates are transferred cyclically from one fluid stream to a porous matrix and then from the porous matrix to the other fluid streams.

Journal ArticleDOI
01 Jun 1972
TL;DR: In this paper, the effect of non-Newtonian properties on isothermal laminar flow in simple geometries is considered and the relevance of these simple examples to more complex industrial problems is discussed.
Abstract: Various types of non-Newtonian behaviour are reviewed together with examples commonly encountered in industrial situations. The effect of such fluid properties on isothermal laminar flow in simple geometries is considered. Various problems in laminar heat transfer to non-Newtonian fluids are also discussed and the effects of temperature dependent rheological properties and viscous dissipation are considered. The relevance of these simple examples to more complex industrial problems is discussed.

Journal ArticleDOI
TL;DR: In this paper, the authors have solved numerically the combined equations describing the coupled processes of fluid flow, heat transport, and rock fracture, and showed that under favorable, but perhaps not unreasonably exotic, circumstances the extraction of significant thermal power from each well can be expected to continue for many decades.
Abstract: Efficient extraction of geothermal energy from a dry well depends on the ability to establish a closed pressurized circuit of water through a large zone fractured in hot impermeable rock. Long-term perpetuation of significant power extraction depends, in addition, on the ability to extend the initial fracture zone through the effects of thermal stress cracking of the adjacent hot rocks. In support of an experimental program to test the feasibility of using this type of energy source, we have solved numerically the combined equations describing the coupled processes of fluid flow, heat transport, and rock fracture. The results show a strong dependence on the extent to which underground pressure can be maintained and the fracture zone continuously extended. They indicate that under favorable, but perhaps not unreasonably exotic, circumstances the extraction of significant thermal power from each well can be expected to continue for many decades.

Journal Article
TL;DR: In this paper, two identical units of heat flow meter panels were used for the experiment and were mounted side by side on the exterior surface of the building and were maintained at slightly different temperatures and the heat flux conducted toward the surface from inside was measured.
Abstract: Two identical units of heat flow meter panels were used for the experiment and were mounted side by side on the exterior surface of the building. They were maintained at slightly different temperatures and the heat flux conducted toward the surface from inside was measured. The two panels received exactly the same incident radiation so the difference in the measured heat conduction was equal to the difference in heat loss by convection and long wave emission. The convective heat transfer coefficient was calculated from the temperature of the two surfaces and the emissivity.

Journal ArticleDOI
TL;DR: In this article, a numerical simulation of dropwise condensation heat transfer was performed with an active site density as high as 109 sites/cm2, and heat transfer to the drop was determined by considering the effects of curvature of the drop surface, interfacial mass transfer between liquid and vapor phases, and conduction through the drop.

Journal ArticleDOI
TL;DR: In this article, a finite difference solution of the equations describing transient natural convection in porous media is presented, and the linearized equations are solved to provide an estimate of the number of possible convective modes as a function of the Rayleigh number.

01 Apr 1972
TL;DR: In this article, a comprehensive review and analysis of all aspects of heat pipe technology pertinent to the design of self-controlled, variable conductance devices for spacecraft thermal control is presented.
Abstract: A comprehensive review and analysis of all aspects of heat pipe technology pertinent to the design of self-controlled, variable conductance devices for spacecraft thermal control is presented. Subjects considered include hydrostatics, hydrodynamics, heat transfer into and out of the pipe, fluid selection, materials compatibility and variable conductance control techniques. The report includes a selected bibliography of pertinent literature, analytical formulations of various models and theories describing variable conductance heat pipe behavior, and the results of numerous experiments on the steady state and transient performance of gas controlled variable conductance heat pipes. Also included is a discussion of VCHP design techniques.

Journal ArticleDOI
TL;DR: The tropical stratosphere is heated by radiation due principally to thermal and solar heating by ozone as mentioned in this paper, which extends into the stratosphere mid-latitudes but higher latitudes exhibit cooling due primarily to thermal cooling by CO2 with the warmer hemisphere showing more cooling.
Abstract: Monthly zonal mean global radiative heating rates have been obtained from the surface to 10 mb for all twelve months. Seasonal profiles of the contribution by each constituent are presented in addition to seasonal profiles of net thermal cooling and total radiative heating. Radiation cools the troposphere almost everywhere primarily due to thermal cooling by water vapor with the cooling a maximum in the tropics. The tropical stratosphere is heated by radiation due principally to thermal and solar heating by ozone. This total radiative heating extends into the stratosphere mid-latitudes but higher latitudes exhibit cooling due primarily to thermal cooling by CO2 with the warmer hemisphere showing more cooling. Comparison with previous theory in the Northern Hemisphere shows qualitative agreement although the present study has more resolution because of the better specification of the radiative parameters, in particular, ozone and temperature.

Journal ArticleDOI
TL;DR: In this article, two-phase boundary layer equations of filmwise condensation on a horizontal cylinder are solved with an approximate method due to Jacobs, and numerical results for average coefficients of heat transfer are expressed as; Nu=χ 1+ 0·276 χ 4 FrH 1 4 Re 1 2 especially for large vapour velocity, namely for gD U ∞ 2 H ⪡ χ4 0·275 Nu =χ Re 12 where χ=0·9 1+ 1 RH 1 3

Journal ArticleDOI
W. M. Kays1
TL;DR: In this article, a summarization of five years work on heat transfer to the transpired turbulent boundary layer with transpiration is presented, experimental data are presented and discussed, and theoretical models for solution of the momentum equation under these conditions are presented.

Journal ArticleDOI
TL;DR: In this paper, the spectral correlation coefficients were considered to be a measure of the transfer efficiency as a function of scale size, and it is postulated that this was due to greater amounts of momentum being transferred in bursts of short duration, thus making spectral correlation coefficient, averaged over sufficient time, smaller.
Abstract: The objective of this study was to investigate the turbulent transfer mechanism near the surface. ‘Direct’ measurements of the turbulent fluxes of momentum, heat, and moisture were made in the atmospheric surface layer 2 m above a grass surface at Ladner, Canada. The spectral correlation coefficients were considered to be a measure of the transfer efficiency as a function of scale size. For momentum transfer the efficiency decreased at all scales as instability increased. It is postulated that this was due to greater amounts of momentum being transferred in bursts of short duration, thus making the spectral correlation coefficient, averaged over sufficient time, smaller. The Ladner results for heat transfer showed that its transfer efficiency increased at all scales when instability increased. The ratio of the transfer efficiency of heat to that of momentum was greater than 1 for most scales, even for near neutral stratifications, and increased to between 2 and 3 for more unstable conditions. The efficiency of moisture transfer was usually smaller than that for heat transfer and was found to depend on the correlation between moisture fluctuations and those of temperature.

Journal ArticleDOI
Y. Lee1, U Mital1
TL;DR: In this article, an experimental study on the heat transfer performance of a two-phase closed thermosyphon together with a simple theoretical analysis for its maximum heat transfer capacity has been made.

Journal ArticleDOI
05 May 1972-Science
TL;DR: Flow observations and thermal data have shown that there are, as expected, convective motions caused by surface tension gradients in a plane liquid layer with a free upper surface.
Abstract: A group of experiments was conducted by Apollo 14 astronaut Stuart A. Roosa during the lunar flyback on 7 Fehruary 1971 to obtain information on heat flow and convection in gases and liquids in an environment of less than 10-(6)g gravity. Flow observations and thermal data have shown that: (i) there are, as expected, convective motions caused by surface tension gradients in a plane liquid layer with a free upper surface; (ii) heat flow in enclosed liquids and gases occurs mainly by diffusive heat conduction; and (iii) some convective processes, whose characteristics are not fully known, add to the heat transfer.

Journal ArticleDOI
TL;DR: In this paper, a mathematical formulation and a method of solution for the phenomenon of flame spread over solid fuels with forward heat conduction in both the solid and the gas is presented, using an energy integral over the field to determine the spreading rate in terms of the basic properties of the fuel and air.
Abstract: Mathematical descriptions of flames spreading over liquid and solid fuels are obtained, using basic assumptions derived from observations or physical reasoning. A review of existing theories shows that they are incomplete in that they either treat an uncoupled problem of the condensed phase where the spreading rate and heat flux at the surface are given, or they merely determine the spreading rate in terms of a new vaguely defined eigenvalue. An important difference between the liquid and solid cases, due to convection, is pointed out, and it is shown that solid-fuel flame-spread theories which claim to apply to the liquid case, in reality do not apply to it. A mathematical formulation and a method of solution are presented for the phenomenon of flame spread over solid fuels with forward heat conduction in both the solid and the gas. The method uses an energy integral over the field to determine the spreading rate in terms of the basic properties of the fuel and air.

Patent
27 Mar 1972
TL;DR: In this paper, hydraulic fracturing is used to interconnect two or more holes which penetrate a previously dry geothermal reservoir, and to produce within the reservoir a sufficiently large heat-transfer surface so that heat can be extracted from the reservoir at a usefully high rate by a fluid entering it through one hole and leaving it through another.
Abstract: Hydraulic fracturing is used to interconnect two or more holes which penetrate a previously dry geothermal reservoir, and to produce within the reservoir a sufficiently large heat-transfer surface so that heat can be extracted from the reservoir at a usefully high rate by a fluid entering it through one hole and leaving it through another. Introduction of a fluid into the reservoir to remove heat from it and establishment of natural (unpumped) convective circulation through the reservoir to accomplish continuous heat removal are important and novel features of the method.

Journal Article
TL;DR: In this paper, a review of the thermophysical properties of granular materials or silicates believed to simulate the lunar surface layer is presented, focusing on thermal conductivity data and the effects of material and environmental variables on the thermal conductivities.
Abstract: Review of the thermophysical properties of granular materials or silicates believed to simulate the lunar surface layer. Emphasis is placed on thermal conductivity data and the effects of material and environmental variables on the thermal conductivity. There are three basic mechanisms of heat transfer in particulate materials: conduction by the gas contained in the void spaces between the particles; conduction within the solid particles and across the interparticle contacts; and thermal radiation within the particles, across the void spaces between particle surfaces, and between void spaces themselves. Gas and solid conduction, thermal radiation, and the interaction between conduction and radiation are considered.

Journal ArticleDOI
TL;DR: An experimental study of the interaction of a turbulent boundary layer with a compression corner has been conducted at a Mach number of 29, Reynolds number based upon boundary-layer thickness of 22 to 59 x 104, and ratio of wall-temperat ure-to-recovery-temperature of 105 to 047 as mentioned in this paper.
Abstract: An experimental study of the interaction of a turbulent boundary layer with a compression corner has been conducted at a Mach number of 29, Reynolds number based upon boundary-layer thickness of 22 to 59 x 104, and ratio of wall-temperat ure-to-recovery-temperature of 105 to 047 Adiabatic wall data showed an incipient separation angle of 65°, as determined by the liquid line method The static pressure distribution was found to be insensitive to the presence of small regions of separated flow The present results, combined with other data, shown an increasing trend of incipient separation angle with Reynolds number The effect of wall cooling was to increase the incipient separation angle and reduce the separation distance