Turbulent mixed convection of heat and water vapor transfers in a two-dimensional vegetation canopy

The present study consists in a numerical investigation of turbulent mixed-convection of heat and water vapor transfers inside two-dimensional (2-D) vegetation canopy, in the surrounding atmosphere and in a wet underground. The time-averaged Navier-Stokes equations are used to characterize the flow field surrounding the canopy and within it. Reynolds shear stresses are calculated using the eddy turbulence model and the Prandtl mixing length. The governing equations are solved numerically using an implicit finite difference method and Thomas algorithm. The present model is used for the determination of the micro climatic profiles such as streamlines, isotherms and iso-concentration. Special emphasis is laid on the systematic analysis of the total evaporation rate (evapotranspiration), the local and average heat fluxes, the Nusselt and Sherwood numbers. The effects of Leaf Area Density distribution, the canopy stomata regulation, as well as the atmospheric forcing conditions on the transfers, are presented and analysed. The results show that buoyancy force caused by properties variation reduces the local heat and mass transfer coefficients, and that this reduction increases at lower wind velocities.     

Thermal effect of strongly underexpanded jets on constructional elements of equipment of complicated form

During the preparation of the Soyuz spaceship for the joint mission with the Apollo spaceship, an investigation was made on a model of the thermal and mechanical effect of the exhaust jets of the Apollo guiding system on Soyuz [1]. The experiments on the model revealed a complicated structure of the gas flow field, in which there were shock waves and rarefaction zones. The experimental values of the heat fluxes were converted to the conditions of actual flight by a method based on dependences for calculating the thermal effect of a supersonic gas jet on bodies of a simple form. Calorimeters of a cylindrical form set up on the spacecraft made it possible to compare the heat fluxes measured during the joint mission with those calculated by this method. In the present paper, the method of converting the experimental model values of the heat fluxes to the actual mission conditions is explained, the construction of the calorimeters and the conditions under which the heat fluxes from the Apollo exhausts were measured are described, and the measured values of the heat fluxes are compared with the values calculated by this method.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 113–119, January–February, 1980.     

Heat and mass transfer during condensation in a vertical channel under mixed convection

The problem of condensation by mixed convection in a vertical channel has been numerically analyzed for an air water system. The plates of the channel are subjected to uniform but different heat fluxes. The effects of ambient conditions on the condensation process are investigated. The results show particularly the existence of a particular temperature called inversion temperature for condensation. This temperature is defined as the temperature above it the condensation rate is higher for a lower vapor concentration. It was found that this temperature increases with the increase of the ambient pressure and decreases with the cooling heat flux.     

Use of experiment and an inverse method to study interface heat transfer during solidification in the investment casting process

A technique to determine the thermal boundary conditions existing during the solidification of metallic alloys in the investment casting process is presented. Quantitative information about these conditions is needed so that numerical models of heat transfer in this process produce accurate results. In particular, the variation of the boundary conditions both spatially and temporally must be known. The method used involves the application of a new inverse heat conduction method to thermal data recorded during laboratory experiments of aluminium alloy solidification in investment casting shell moulds. The resultant heat transfer coefficient for the alloy/mould interface is calculated. An experimental programme to determine requisite mould thermal properties was also undertaken. It was observed that there is significant variation of the alloy/mould heat transfer coefficient during solidification. It is found to be highly dependent on the alloy type and on the vertical position below the initial free surface of the liquid metal. The aluminium casting alloys used in this study were 413, A356, 319 (Aluminum Association designations), and commercially pure aluminium. These alloys have significantly different freezing ranges. In particular, it was found that alloys with a high freezing range solidify with rates of heat transfer to the mould which are very sensitive to metallostatic head.     

HF-plasmatron experiment and numerical simulation of heat transfer in underexpanded dissociated-nitrogen jets

Experiments on heat transfer in underexpanded supersonic jets of high-enthalpy nitrogen are performed on the VGU-4 induction high-frequency plasmatron at a pressure of 10.4 GPa in a compression chamber. At gas flow rates of 2.4 and 3.6 g/s and HF generator powers of 45 and 64 kW the heat fluxes to the copper, stainless steel, MPG-7 graphite, and quartz surfaces are measured at the stagnation point of a water-cooled cylindrical, flat-ended model, 20 mm in diameter. In the same regimes the stagnation pressures are measured. The effect of the surface catalyticity with respect to nitrogen atom recombination on the heat flux is demonstrated and the qualitative catalyticity scale of the studied materials is established. In the supersonic regimes nonequilibrium nitrogen plasma flow in the discharge channel of the plasmatron and the underexpanded jet flow past the model are numerically simulated for the experimental conditions. The experimental and calculated data on the stagnation pressures and the heat fluxes to cooled surfaces of the metals, graphite, and quartz are compared.     

Three-dimensional laminar flow and heat transfer in the entrance region of trapezoidal ducts

The laminar convective flow and heat transfer in a duct with a trapezoidal cross-sectional area are studied numerically. The governing equations are solved numerically by a finite volume formulation in complex three-dimensional geometries using co-located variables and Cartesian velocity components. Details of the numerical method are presented. The accuracy of the method was also established by comparing the calculated results with the analytical and numerical results available in the open literature. The Nusselt numbers are obtained for the boundary condition of a uniform wall temperature whereas the friction factors are calculated for no-slip conditions at the walls. The asymptotic values of the Nusselt numbers, friction factors. incremental pressure drops, axial velocity and momentum rate and kinetic energy correction factors approach the available fully developed values. Various geometrical dimensions of the cross-section are considered.     

On the crack face boundary conditions in electromechanical fracture and an experimental protocol for determining energy release rates

The fracture mechanics of electromechanical materials has been investigated for well over a decade, yet there still exists controversy over the appropriate crack face boundary conditions for non-conducting cracks. In this paper an experimental protocol for measuring the energy release rate in a non-linear reversible electromechanical body is proposed and summarized. The potential results from the proposed experimental approach are capable of shedding light on the true physical nature of the conditions prevailing at the crack surface and in the space within the crack. The experimental procedure is simulated numerically for a linear piezoelectric specimen in a four point bending configuration subjected to electrical loading perpendicular to the crack. The focus of these investigations is on a comparison between the commonly used exact crack face boundary condition and the recently proposed energetically consistent boundary conditions. To perform the numerical calculation with a wide range of electrical and mechanical loadings, two efficient finite element formulations are presented for the general analysis of crack problems with non-linear crack face boundary conditions. Methods for the numerical determination of the crack tip energy release rate and the simulation of the experimental method for obtaining the total energy release rate are developed. Numerical results for the crack tip and total energy release rate are given for both the exact and energetically consistent boundary conditions. It is shown that the crack tip energy release rate calculated under energetically consistent boundary conditions is equal to the total energy release rate generated from the simulated experimental method. When the exact boundary conditions are used, there is no such agreement.     

CFD modeling and experimental validation of heat and mass transfer in wood poles subjected to high temperatures: a conjugate approach

In this article, a coupling method is presented in the case of high thermal treatment of a wood pole and a three-dimensional numerical simulation is proposed. The conservation equations for the wood sample are obtained using diffusion equation with variables diffusion coefficients and the incompressible Reynolds averaged Navier–Stokes equations have been solved for the flow field. The connection between the two problems is achieved by expressing the continuity of the state variables and their respective fluxes through the interface. Turbulence closure is obtained by the use of the standard k–ɛ model with the usual wall function treatment. The model equations are solved numerically by the commercial package ANSYS-CFX10. The wood pole was subjected to high temperature treatment under different operating conditions. The model validation is carried out via a comparison between the predicted values with those obtained experimentally. The comparison of the numerical and experimental results shows good agreement, implying that the proposed numerical algorithm can be used as a useful tool in designing high-temperature wood treatment processes. A parametric study was also carried out to determine the effects of several parameters such as initial moisture content, wood aspect ratio and final gas temperature on temperature and moisture content distributions within the samples during heat treatment.     

Comparison of interfacial heat transfer coefficient estimated by two different techniques during solidification of cylindrical aluminum alloy casting

The interfacial heat transfer coefficient (IHTC) is necessary for accurate simulation of the casting process. In this study, a cylindrical geometry is selected for the determination of the IHTC between aluminum alloy casting and the surrounding sand mold. The mold surface heat flux and temperature are estimated by two inverse heat conduction techniques, namely Beck’s algorithm and control volume technique. The instantaneous cast and mold temperatures are measured experimentally and these values are used in the theoretical investigations. In the control volume technique, partial differential heat conduction equation is reduced to ordinary differential equations in time, which are then solved sequentially. In Beck’s method, solution algorithm is developed under the function specification method to solve the inverse heat conduction equations. The IHTC was determined from the surface heat flux and the mold surface temperature by both the techniques and the results are compared.     

Radiative-convective heat transfer in a flow past an evaporating semitransparent melt film

A conjugate problem of nonstationary radiative-convective heat transfer in a turbulent flow of a mixture of gases with solid particles around a horizontal evaporating semitransparent melt film is numerically solved. The moving film is subjected to intense radiative heating by an external source whose radiation interacts with the gas-particle medium and the film in a bounded spectral range. The temperature fields and velocities in the boundary layer and the film are calculated. The computational results given allow determination of the impact of radiation on heat transfer and film dynamics in the boundary layer-film system.     

Laminar Base Flow Downstream of Slender Cones in Hypersonic Flow

The base flow downstream of slender cones in a stream of perfect gas at Mach numbers 8 and 10 and Reynolds numbers 10⁴ and 10⁵ is numerically investigated. The calculated heat fluxes to the rear face of the body are compared with experimental data. It is shown that the friction and heat transfer coefficients increase without bound as the corner point is approached from both the lateral surface and the rear face, the sign of the latter coefficient being dependent on the body surface temperature factor.     

Concentration flux measurements of a scalar quantity in turbulent flows

A method for determination of velocity-concentration fluxes is presented that combines two conventional imaging techniques, particle image velocimetry (P.I.V.) and planar laser-induced fluorescence (P.L.I.F.). The passive concentration jet was a perfect mixture of fluorescein dye and solid particles submerged in an isotropic homogeneous turbulent channel. The light intensity fluoresced by the dye and the light intensity scattered by the particles were recorded separately on two synchronized cameras by using appropriate high and low-pass filters. Two different sets of images were thus obtained simultaneously. Once digitized and numerically processed, they provide the space and time evolution of velocity and concentration instantaneous fields. Thus, the velocity-concentration correlations can easily be determined. The statistical results for velocity and concentration are compared with classical results in order to validate the technique. We finally report some results giving velocity-concentration fluxes.     

Component desorption effect on the material catalyticity in high-temperature multicomponent gases

The distinctive features of the formation of the catalyticity of materials with respect to atom recombination on the material surface are investigated for mixtures of different high-temperature gases under conditions of hypersonic atmospheric flight or bench setups. It is shown that in general the catalyticity constants (heterogenous recombination probabilities) of individual components determined experimentally in dissociated flows of “pure” gases are improperly used for calculating the heat fluxes to material surfaces in multicomponent gas flows, owing to differences in the occupation of the surface by atoms in pure gases and mixtures. This effect must be taken into account in interpreting the experimental data which so far have been the only source of information on material catalyticity in gas mixtures. Otherwise, the results of calculations of the heat transfer to hypersonic flight vehicles could turn out to be invalid. Examples of the possible effect of ignoring this factor on the calculated heat fluxes are presented.     

Simultaneous transfer of heat and mass occurring in casting process

Studied in this paper is simultaneous transfer of heat and water vapor which takes place in a green sand mold in a very short period of time after pouring a molten metal in its cavity. Governing equations describing heat and mass transfer in a mold are solved by finite difference method and the results are compared with the actually measured values to examine the validity of the calculated results. The effect of thermal properties and permeability of the mold, the amount of water contained, the heating temperature (i.e., temperature of casting metal) and other factors on the heat transfer rate at the interface between the molten metal and the mold, the pressure rise in the mold and the development of dried zone around the casting are investigated to propose some empirical relations available for predicting those transfer phenomena by using dimensionless parameters presented.     

Combined heat and mass transfer by hydromagnetic natural convection over a cone embedded in a non-Darcian porous medium with heat generation/absorption effects

 The problem of combined heat and mass transfer by natural convection over a permeable cone embedded in a uniform porous medium in the presence of an external magnetic field and internal heat generation or absorption effects is formulated. The cone surface is maintained at either constant temperature and constant concentration or uniform heat and mass fluxes. In addition, the cone surface is assumed permeable in order to allow for possible fluid wall suction or blowing. The resulting governing equations are non-dimensionalized and transformed into a non-similar form and then solved numerically by an implicit, iterative, finite-difference method. Comparisons with previously published work are performed and excellent agreement between the results is obtained. A parametric study of the physical parameters is conducted and a representative set of numerical results for the temperature and concentration profiles as well as the local Nusselt number and the Sherwood number is illustrated graphically to show special trends of the solutions. Received on 5 June 2000 / Published online: 29 November 2001     

High‐accuracy upwind method using improved characteristics speeds for incompressible flows

In this study, the Nervier–Stokes equations for incompressible flows, modified by the artificial compressibility method, are investigated numerically. To calculate the convective fluxes, a new high‐accuracy characteristics‐based (HACB) scheme is presented in this paper. Comparing the HACB scheme with the original characteristic‐based method, it is found that the new proposed scheme is more accurate and has faster convergence rate than the older one. The second order averaging scheme is used for estimating the viscose fluxes, and spatially discretized equations are integrated in time by an explicit fourth‐order Runge–Kutta scheme. The lid driven cavity flow and flow in channel with a backward facing step have been used as benchmark problems. It is shown that the obtained results using HACB scheme are in good agreement with the standard solutions. Copyright © 2015 John Wiley & Sons, Ltd.     

Analysis of laminar flow forced convection heat transfer in the entrance region of a circular pipe

A numerical solution, for incompressible, steady-state, laminar flow heat transfer in the combined entrance region of a circular tube is presented for the case of constant wall heat flux and constant wall temperature. The development of velocity profile is obtained from Sparrow's entrance region solution. This velocity distribution is used in solving the energy equation numerically to obtain temperature profiles. Variation of the heat transfer coefficient for these two different boundary conditions for the early stages of boundary layer formation on the pipe wall is obtained. Local Nusselt numbers are calculated and the results are compared with those given byUlrichson andSchmitz. The effect of the thermal boundary conditions is studied by comparing the uniform wall heat flux results with uniform wall temperature.     

Numerical simulation and experimental analysis of heat transfer through the neck tube into vertical cryogenic insulated cylinders

The neck tube is an important support structure in cryogenic insulated cylinders. The heat flux from the outside environment through the neck tube into the cryogenic liquid occupies a great proportion of the total heat leak and can be more than half of the total heat loads. In this paper, conjugate convective-conductive heat transfer model between wall and the cold vapor in conditions of natural discharge is numerically investigated. Also a liquid nitrogen boil-off method was adopted in experiments to validate the result of numerical simulation. Experimental results indicate more favorable agreement with conjugate heat transfer (CHT) model compared with simple solid heat conduction (SSHC) model by ANSYS software. And the convection between the wall and vapor is also calculated. The research and results can provide reference in design for neck tube of the cryogenic cylinder.     

A study of internal heat transfer in nonuniform porous structures

The results of theoretical and experimental studies of heat transfer and pressure drop in nonuniform porous materials and systems are presented. In experiments, measurements were made of the air flow rate, inlet and outlet air pressures, and air and porous sample temperatures. Experimental determination of the heat transfer coefficient in porous structures is associated with certain difficulties. The problem of determining a temperature difference between coolant and porous skeleton is the most complex. As a rule, under laboratory conditions this difference is small and cannot be found with sufficient accuracy. In the present work, the method of determination of the internal heat transfer coefficient is based on solving the inverse unsteady heat transfer problem for porous structures. Using this approach, the heat transfer coefficient is calculated indirectly or on the basis of the porous material temperature variation over time.