Thermal Diffusion in Mixtures of Alcohols and Aromatic Hydrocarbons

1971 ◽  
Vol 26 (1) ◽  
pp. 48-51 ◽  
Author(s):  
P. S. Belton ◽  
H. J. V. Tyrrell

Abstract The thermal diffusion factors observed for these systems vary considerably with concentration, and frequently show a change in sign at some concentration. New data on ethanol-toluene mixtures show that the sign and magnitude of the separation of the components in a thermal gradient are also strongly dependent on the mean temperature of the system. These observations, together with earlier ones on similar systems, can be given a semi-quantitative interpretation in terms of a shift in the average degree of association of the alcohol along the temperature gradient.

Author(s):  
Alexander Eidelman ◽  
Tov Elperin ◽  
Nathan Kleeorin ◽  
Alexander Krein ◽  
Igor Rogachevskii ◽  
...  

An oscillating grids turbulence generator was constructed for studies of a new effect associated with turbulent transport of inertial particles — turbulent thermal diffusion. This phenomenon was predicted theoretically in Phys. Rev. Lett. 76, 224 (1996) and has been detected experimentally in oscillating grids turbulence with an imposed mean temperature gradient in air flow. This effect implies an additional mean flux of particles in the direction opposite to the mean temperature gradient and results in formation of large-scale inhomogeneities in the spatial distribution of particles. We used Particle Image Velocimetry to determine the turbulent velocity field and an Image Processing Technique to determine the spatial distribution of particles. Velocity distributions were measured in the flow generated with one and two grids in the Oscillating Grids Turbulence Generators at RWTH (Aachen) and BGU (Beer-Sheva). Analysis of the intensity of laser light Mie scattering by particles showed that they are accumulated in the vicinity of the minimum of the mean temperature of the surrounding fluid. The latter finding confirms the existence of the effect of turbulent thermal diffusion predicted theoretically.


Author(s):  
T. Houra ◽  
Y. Nagano ◽  
M. Tagawa

We measure flow and thermal fields over a locally heated two-dimensional hill. The heated sections on the wall are divided into upstream and downstream portions of the hill model. These sections are heated independently, yielding various thermal boundary conditions in contrast to the uniformly heated case. In the separated region formed behind the hill, it is found that the mean temperature profiles in the uniformly heated case are well decomposed into the separately heated cases. This is because the velocity fluctuation produced by the shear layer formed behind the hill is large, so the superposition of a passive scalar in the thermal field can be successfully realized. The rapid increase in the mean temperature near the uniformly heated wall should be due to the heat transfer near the leeward slope of the hill. On the other hand, the mean temperature distributions away from the wall are strongly affected by the turbulent thermal diffusion on the windward side of the hill.


2006 ◽  
Vol 40 (5) ◽  
pp. 744-752 ◽  
Author(s):  
A. Eidelman ◽  
T. Elperin ◽  
N. Kleeorin ◽  
I. Rogachevskii ◽  
I. Sapir-Katiraie

Author(s):  
Olalekan O. Shobayo ◽  
D. Keith Walters

Abstract Computational fluid dynamics (CFD) results for turbulent flow and heat transfer in a plane channel are presented. This study presents an idealized fully-developed planar channel flow case for which the mean velocity gradient is non-zero only in the wall-normal direction, and the mean temperature gradient is imposed to be uniform and non-zero in the streamwise or spanwise direction. Previous studies have documented direct numerical simulation results for periodic channel flow with mean temperature gradient in both the streamwise and wall-normal directions, but limited investigations exist documenting the effect of imposed spanwise gradient. The objective of this study is to evaluate turbulent heat flux predictions for three different classes of modeling approach: Reynolds-averaged Navier-Stokes (RANS), large-eddy simulation (LES), and hybrid RANS-LES. Results are compared to available DNS data at Prandtl number of 0.71 and Reynolds number of 180 based on friction velocity and channel half-width. Specific models evaluated include the k-ω SST RANS model, monotonically integrated LES (MILES), improved delayed detached eddy simulation (IDDES), and dynamic hybrid RANS-LES (DHRL). The DHRL model includes both the standard formulation that has been previously documented in the literature as well as a modified version developed specifically to improve predictive capability for flows in which the primary mean velocity and mean temperature gradients are not closely aligned. The modification consists of using separate RANS-to-LES blending parameters in the momentum and energy equations. Results are interrogated to evaluate the performance of the three different model types and specifically to evaluate the performance of the new modified DHRL variant compared with the baseline version.


Solar Physics ◽  
1969 ◽  
Vol 9 (2) ◽  
pp. 391-393 ◽  
Author(s):  
P. R. Wilson

1965 ◽  
Vol 20 (4) ◽  
pp. 521-526 ◽  
Author(s):  
C. J. G. Slieker

Starting from COHEN’S theory of square cascades and countercurrent separation processes, column constants for the three types of thermal diffusion columns are calculated. It is assumed that the transport coefficients may be regarded as constants, whereas their values are taken at the mean temperature in the column. By comparison with other theories and experimental results our simplified theory appears to be as good as the more refined ones.


Observations of density fluctuations have been made in a turbulent mixing jet with variable Mach number and enthalpy. On the basis of mean velocity and enthalpy distributions the density fluctuations have been related to local pressure and temperature fluctuation intensities. It is found that the pressure fluctuations determined in this way are in agreement with previous microphone-based observations, although there is some uncertainty about the use of microphones in turbulent flows. The present observations show the maximum pressure fluctuations in the shear layer close to the nozzle to be in excess of the values estimated from turbulence intensity data by 26%, while closer agreement is found in the self-preserving region further away from the nozzle. The temperature fluctuations were found to be consistent with observations made with fine wire probes, and the pressure-temperature covariance showed a reversal of sign across the shear layer consistent with mixing in the presence of the mean property gradients. Increases of flow Mach number substantially reduced the relative intensity of both pressure and temperature fluctu­ations. For mixing conditions dominated by a large mean temperature gradient, turbulent scales and spectra were similar to those of velocity fluctuations. Under conditions where the mean temperature gradient was eliminated and pressure fluctuations dominated the density variations, the scales were significantly increased and the spectra showed a more rapid decrease with frequency.


2003 ◽  
Vol 125 (2) ◽  
pp. 266-273 ◽  
Author(s):  
Juan E. Vela´squez ◽  
Farid Chejne ◽  
Alan F. J. Hill

A two-dimensional mathematical model, in stationary state was developed for the separation of species in a thermal diffusion column working with total reflux. The model was applied to a gas mixture of CO2 and N2. The existence of convective currents along the column was verified, the separation of species due to the temperature gradient was predicted and the effect of the thermal gradient and of the operation pressures on the composition profiles was analyzed.


2017 ◽  
Vol 10 (2) ◽  
pp. 131-153 ◽  
Author(s):  
Jingxuan Li ◽  
Dong Yang ◽  
Aimee S Morgans

This work performs a theoretical and numerical analysis of the communication between one-dimensional acoustic and entropy waves in a duct with a mean temperature gradient. Such a situation is highly relevant to combustor flows where the mean temperature drops axially due to heat losses. A duct containing a compact heating element followed by an axial temperature gradient and choked end is considered. The proposed jump conditions linking acoustic and entropy waves on either side of the flame show that the generated entropy wave is generally proportional to the mean temperature ratio across the flame and the ratio [Formula: see text], where [Formula: see text] is the flame transfer function. It is inversely proportional to the Mach number immediately downstream of the flame M2. The acoustic and entropy fields in the region of axial mean temperature gradient are calculated using four approaches: (1) using the full three linearised Euler equations as the reference; (2) using two linearised Euler equations in which the acoustic and entropy waves are assumed independent (thus allowing the extent of communication between the acoustic and entropy wave to be evaluated); (3) using a Helmholtz solver which neglects mean flow effects and (4) using a recently developed analytical solution. It is found that the communication between the acoustic and entropy waves is small at low Mach numbers; it rises with increasing Mach number and cannot be neglected when the mean Mach number downstream of the heating element exceeds 0.1. Predictions from the analytical method generally match those from the full three linearised Euler equations, and the Helmholtz solver accurately determines the acoustic field when [Formula: see text].


1972 ◽  
Vol 51 (4) ◽  
pp. 637-656 ◽  
Author(s):  
E. L. Koschmieder

The convective motions in a rotating laterally-heated annulus have been studied experimentally. The main feature that differentiates this experiment from others done previously is a rigid lid which is in contact with the fluid. It has been found that the radial temperature differences at which the transition from lower symmetry to the vortex regime occur are different in the cases of positive and negative temperature gradients and that, in particular, the transition is a very strong function of Ω in the case of a negative temperature gradient. It has been observed further that the persisting vortices which form in the annulus always appear at the inner cylinder, whether the radial temperature difference is increased in a quasi-steady way, the radial temperature difference is applied suddenly while the mean temperature is maintained, the heating or cooling is applied suddenly on either the inner or outer cylinder only, thus changing the mean temperature, or whether the rotation of the annulus is started suddenly with the radial temperature difference applied beforehand. This is true regardless of whether the radial temperature gradient is positive or negative and there has not been a single instance in which a persisting vortex developed at the outer cylinder. Neither this observation nor the dependence of the transition temperature difference on Ω seems to be in agreement with the current theoretical descriptions of the annulus motions. On the other hand, the appearance of a warm cell, a counter cell and a cold cell in the time-dependent meridional motions observed in the experiments confirms the results of a numerical study of Williams (1967), which studies the symmetric motions in the annulus.


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