scholarly journals Mixed convection in turbulent channels with unstable stratification

2017 ◽  
Vol 821 ◽  
pp. 482-516 ◽  
Author(s):  
Sergio Pirozzoli ◽  
Matteo Bernardini ◽  
Roberto Verzicco ◽  
Paolo Orlandi

We study turbulent flows in pressure-driven planar channels with imposed unstable thermal stratification, using direct numerical simulations in a wide range of Reynolds and Rayleigh numbers and reaching flow conditions which are representative of fully developed turbulence. The combined effect of forced and free convection produces a peculiar pattern of quasi-streamwise rollers occupying the full channel thickness, with aspect ratio considerably higher than unity; it has been observed that they have an important redistributing effect on temperature and momentum, providing for a substantial fraction of the heat and momentum flux at bulk Richardson numbers larger than$0.01$. The mean values and the variances of the flow variables do not appear to follow Prandtl’s scaling in the free-convection regime, except for the temperature and vertical velocity fluctuations, which are more directly affected by wall-attached turbulent plumes. We find that the Monin–Obukhov theory nevertheless yields a useful representation of the main flow features. In particular, the widely used Businger–Dyer flux-profile relationships are found to provide a convenient way of approximately accounting for the bulk effects of friction and buoyancy, although the individual profiles may have wide scatter from the alleged trends. Significant deviations are found in direct numerical simulations with respect to the commonly used parametrization of the momentum flux in the light-wind regime, which may have important practical impact in wall models of atmospheric dynamics. Finally, for modelling purposes, we devise a set of empirical predictive formulae for the heat flux and friction coefficients, which are within approximately$10\,\%$standard deviation from the numerical results in a wide range of flow parameters.

2009 ◽  
Vol 630 ◽  
pp. 1-4 ◽  
Author(s):  
IVAN MARUSIC

Turbulent flows near walls have been the focus of intense study since their first description by Ludwig Prandtl over 100 years ago. They are critical in determining the drag and lift of an aircraft wing for example. Key challenges are to understand the physical mechanisms causing the transition from smooth, laminar flow to turbulent flow and how the turbulence is then maintained. Recent direct numerical simulations have contributed significantly towards this understanding.


2015 ◽  
Vol 137 (6) ◽  
Author(s):  
K. P. Vishwanath ◽  
Ratul Dasgupta ◽  
Rama Govindarajan ◽  
K. R. Sreenivas

Earlier studies on the circular hydraulic jump have shown that the radial position of the hydraulic jump depends on the flow rate, gravity, and fluid viscosity. In this study, results from numerical simulations and experiments on circular hydraulic jumps are presented and through analysis, it is shown that the momentum flux is an additional controlling parameter in determining the jump location. Apart from the jump location, the variation of the film thickness with flow parameters is also obtained from experiments and numerical simulations. By including the dependence of the momentum flux and dissipation in the film along with other controlling parameters, the data on jump radius obtained from experiments and simulation (including the present study) covering a wide range of parameters reported in the literature can be collapsed on to a single curve.


PEDIATRICS ◽  
1948 ◽  
Vol 2 (4) ◽  
pp. 382-404
Author(s):  
MARION M. MARESH

As part of a longitudinal study of healthy children by the staff of the Child Research Council, roentgenograms of the chest have been made at frequent intervals. Three cardiac diameters (transverse, long, and broad) and the internal diameter of the chest were measured on each of 3205 of these roentgenograms, taken of 128 subjects over a period of years. The size and shape of the heart are illustrated and discussed with emphasis on the range of variation that is seen in healthy individuals and on the inadequacy of one set of "normal standards" for evaluating the cardiac silhouette. In spite of fluctuations in the growth curves for the cardiac diameters, a general pattern of agreement was found in the increases in the cardiac diameters and the increases in body height and weight during childhood and adolescence. It would seem that periods of rapid growth such as are usually seen in adolescence are frequently coincident with fairly rapid increases in the cardiac diameters, suggesting that cardiac demands are greater during such growth spurts. The mean values for transverse diameter of the heart showed the same type of sex differentiation that is found in the mean values for height and weight in boys and girls. It seems logical to assume that changing cardiac size should be considered as part of the growth process rather than as an isolated physical and physiologic process. The relations that seem apparent between transverse diameter of the heart and height, weight, and internal diameter of the chest could not be proved statistically by calculated coefficients of correlation. However, it was possible to show differences in the mean values for cardiac transverse diameter in three groups, classified as to height-weight relationships into overweight, medium-weight, and underweight individuals. The mean values were greatest for the fat group, least for the thin group and intermediate for the group that was of medium weight for height. Body build may therefore be a factor in determining cardiac size during childhood as well as during adolescence and adult life. Since the width of the chest is increasing during childhood and adolescence in much the same manner that the transverse diameter of the heart is increasing, cardiothoracic ratios do not become progressively greater with advancing age. In fact, the successive ratios on the same individual show little regularity toward either increase or decrease although mean values for the different ages do decrease from a high of 0.44 at four years of age to a low of 0.40 in the post-adolescent age groups. Each individual showed considerable fluctuation in the cardio-thoracic ratios but no one person fluctuated as much as the range for the whole group. No ratios were found above 0.50 or below 0.32. No sex differences were found nor was there any significant difference in the cardio-thoracic ratios for the groups of different height-weight proportions. In evaluating the heart size of an individual from a single film, the cardio-thoracic ratio is probably as satisfactory as any other measurement if one recognizes the wide range of healthy variation. An increase in the cardio-thoracic ratio on successive roentgenograms might be more significant clinically than cardiac measurements which did not take into consideration the growth of the individual. The nomogram constructed by Ungerleider based on height and weight for prediction of transverse diameter of the heart on teleoroentgenograms of adults was tested for its applicability to the later childhood, adolescent and early adult periods. Nearly half the predicted cardiac transverse diameters exceeded the measured values by 10% or more. This study would seem to indicate, therefore, that one should not be discouraged by the range of variation or the fluctuations in cardiac measurements from routine roentgenograms of the chest. Valuable information regarding the significance of the size of the heart can be obtained from such roentgenograms if one relates those data to the basic process of growth and maturation of the individual.


1983 ◽  
Vol 102 (4) ◽  
pp. 521-526 ◽  
Author(s):  
E. Gemsenjäger ◽  
J. Girard

Abstract. In 65 consecutive surgical patients with multinodular goitre and with preclinical hyperthyroidism (TRH-resistant suppression of TSH in the presence of normal circulating thyroid hormones) the individual values of the FT4-index (FT4-I) and FT3-index (FT3-I) showed a wide range form low normal to high normal with mean values not differing from those in TRH-responsive goitre patients and from controls. Thirty-five patients underwent repeated pre-operative TRH tests: 11 (group A) were TRH-unresponsive on one occasion, and TRH-responsive at another time. Fifteen (group B) were TRH-unresponsive on two occasions. Nine patients (group C) were preclinically hyperthyroid on one occasion and had supranormal individual thyroid hormone concentrations at another time. In multinodular goitre patients with preclinical hyperthyroidism a significant T3 increase was observed after oral TRH. In spite of a TRH-resistant suppressoin of TSH small amounts of TSH are thus still secreted. The degree of TSH suppression may be the result of a varying degree and pattern of continued, fluctuating or elapsed increase in thyroid hormone supply. The T3 response to oral TRH depends not only on the degree of TSH suppression, but also subtlely on the thyroidal reserve: in euthyroid TRH-TSH negative goitre patients a decrease of the TSH-regulated follicular mass by goitre resection abolished the pre-operatively significant T3 response to TRH during the post-operative phase of transient TSH deficiency.


2006 ◽  
Vol 63 (11) ◽  
pp. 3006-3019 ◽  
Author(s):  
Jorgen S. Frederiksen ◽  
Steven M. Kepert

Abstract Dynamical subgrid-scale parameterizations of stochastic backscatter, eddy drain viscosity, and net eddy viscosity have been formulated and calculated for two-dimensional turbulent flows on the sphere based on the statistics of direct numerical simulations (DNSs) with the barotropic vorticity equation. A relatively simple methodology based on a stochastic model representation of the subgrid-scale eddies, but which takes into account the memory effects of turbulent eddies, has been employed. The parameterizations have a cusp behavior at the cutoff wavenumber of the retained scales and have closely similar forms to those based on eddy damped quasi-normal Markovian (EDQNM) and direct interaction approximation (DIA) closure models. Large-eddy simulations (LESs) incorporating DNS-based subgrid-scale parameterizations are found to have kinetic energy spectra that compare closely with the results of higher-resolution DNS at the scales of LES for both isotropic turbulence and Rossby wave turbulence. The methodology presented is general and should be equally applicable to parameterizations of baroclinic processes and convective processes. Applications of the parameterizations to climate models and prediction models are discussed.


Author(s):  
Arturo Ferna´ndez ◽  
Jiacai Lu ◽  
Gre´tar Tryggvason

Direct numerical simulations of the motion of bubbles in turbulent flows are being carried out, using a finite volume/front tracking technique that accounts fully for the effect of fluid inertia, viscosity, bubble deformability, and surface tension. The objective of the simulations is both to address the fundamental interaction mechanisms between the bubbles and the flow and how the bubbles modify the wall turbulent structures, as well as to provide data for validation of simplified models. Results for bubbles placed in the so-called “minimum turbulent channel” show significant drag reduction as the bubbles disrupt the near-wall turbulent flow.


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