Unstable Waves of Jet Flows With Density Inhomogeneity

1989 ◽  
Vol 111 (3) ◽  
pp. 238-242
Author(s):  
Y. T. Fung
Keyword(s):  
Velocity Profile ◽  
Density Gradient ◽  
Necessary Condition ◽  
Jet Flows ◽  
Density Gradients ◽  
Density Inhomogeneity ◽  
Axisymmetric Jet ◽  
Large Density ◽  
Dependent Density

Instability of axisymmetric jet flows of a fluid having a radius-dependent density is investigated. The necessary condition for the existence of unstable waves depends not only on the velocity profile but also on the density gradient as well. Large density gradients, positive or negative, have stabilizing effects. The semicircle theorem for amplified waves is valid in this case. It is shown by considering the top-hat type velocity profile that the velocity-dependent semicircle bound is the best possible.

Dendritic competition in the developing retina: Ganglion cell density gradients and laterally displaced dendrites

1993 ◽  
Vol 10 (2) ◽  
pp. 313-324 ◽  
Author(s):  
Rafael Linden
Keyword(s):  
Density Gradient ◽  
Cell Density ◽  
Time Course ◽  
Ganglion Cells ◽  
Lateral Displacement ◽  
Optic Tract ◽  
Density Gradients ◽  
Temporal Asymmetry ◽  
Dendritic Arbors ◽  
Contralateral Eye

AbstractDendrites of retinal ganglion cells (RGCs) tend to be distributed preferentially toward areas of reduced RGC density. This, however, does not occur in the retina of normal pigmented rats, in which it has been suggested that the centro-peripheral gradient of RGC density is too shallow to provide directional guidance to growing dendrites. In this study, laterally displaced dendrites of RGCs retrogradely labeled with horseradish peroxidase were related to cell density gradients induced experimentally in the rat retina. Neonatal unilateral lesions of the optic tract produced retrograde degeneration of contralaterally projecting RGCs, but spared ipsilaterally projecting neurons in the same retina. These lesions created an anomalous temporal to nasal gradient of cell density across the decussation line, opposite to the nasal to temporal gradient found along the same axis in either normal rats or rats that had the contralateral eye removed at birth. RGCs in rats that received optic tract lesions had their dendrites displaced laterally toward the depleted nasal retina, while in either normal or enucleated rats there was no naso-temporal asymmetry. The lateral displacement affected both primary dendrites and higher-order branches. However, the gradient of cell density after optic tract lesions was less steep than the gradient in either normal or enucleated rats. To test for the presence of steeper gradients at early stages of development, RGC density gradients were also examined at postnatal day 5 (P5). In normal rats, the RGCs were homogeneously distributed throughout the retina, while rats given optic tract lesions at birth already showed a temporo-nasal density gradient at P5. Still, this anomalous gradient was less steep than that found in normal adults. It is concluded that the time course, rather than the steepness of the RGC density gradient, is the major determinant of the lateral displacement of dendritic arbors with respect to the soma in developing RGCs. The data are consistent with the idea that the overall shape of dendritic arbors depends in part on dendritic competition during retinal development.

scholarly journals Analysis of one-dimensional models for exchange flows under strong stratification

2019 ◽  
Vol 70 (1) ◽  
pp. 41-56
Author(s):  
Steven J. Kaptein ◽  
Koen J. van de Wal ◽  
Leon P. J. Kamp ◽  
Vincenzo Armenio ◽  
Herman J. H. Clercx ◽  
...  
Keyword(s):  
Density Gradient ◽  
Turbulent Mixing ◽  
Schmidt Number ◽  
Density Gradients ◽  
One Dimensional ◽  
Exchange Flows ◽  
Dimensional Models ◽  
The One ◽  
Horizontal Density Gradient ◽  
Classical Constant

AbstractOne-dimensional models of exchange flows driven by horizontal density gradients are well known for performing poorly in situations with weak turbulent mixing. The main issue with these models is that the horizontal density gradient is usually imposed as a constant, leading to non-physically high stratification known as runaway stratification. Here, we propose two new parametrizations of the horizontal density gradient leading to one-dimensional models able to tackle strongly stratified exchange flows at high and low Schmidt number values. The models are extensively tested against results from laminar two-dimensional simulations and are shown to outperform the models using the classical constant parametrization for the horizontal density gradients. Four different flow regimes are found by exploring the parameter space defined by the gravitational Reynolds number Reg, the Schmidt number Sc, and the aspect ratio of the channel Γ. For small values of RegΓ, when diffusion dominates, all models perform well. However, as RegΓ increases, two clearly distinct regimes emerge depending on the Sc value, with an equally clear distinction of the performance of the one-dimensional models.

scholarly journals Evidence that platelet density depends on the alpha-granule content in platelets

Blood ◽  
1984 ◽  
Vol 63 (2) ◽  
pp. 482-485 ◽  
Author(s):  
BA van Oost ◽  
AP Timmermans ◽  
JJ Sixma
Keyword(s):  
Density Distribution ◽  
Density Gradient ◽  
Density Gradient Centrifugation ◽  
Platelet Rich Plasma ◽  
Gradient Centrifugation ◽  
Buoyant Density ◽  
Adenosine Diphosphate ◽  
Density Gradients

Abstract The relation between platelet buoyant density and beta-thromboglobulin (beta-TG), a marker for platelet alpha-granule content, was assessed by three independent approaches. (1) Platelets were separated on iso- osmolar discontinuous Stractan density gradients into five fractions, ranging in density from 1.061 g/ml to 1.091 g/ml (20 degrees C). The beta-TG content (mean +/- SD, n = 17) increased with the platelet density from 27.8 +/- 8.6 micrograms beta-TG/10(9) cells (20% less- dense platelets) up to 65.6 +/- 15.5 micrograms beta-TG/10(9) cells (15% most-dense platelets). (2) Activation of platelets in platelet- rich plasma with thrombin, adenosine diphosphate, collagen, or epinephrine resulted in a decreased density of the platelets. This was only seen when there was simultaneous secretion of beta-TG. (3) The less-dense and the more-dense platelet fractions, after isolation by density gradient centrifugation, were separately treated with thrombin. After complete degranulation, the density distribution of the originally less-dense and more-dense platelets were identical and were much narrower than the density distribution of resting platelets.

Computational Modeling and Simulations of Isothermal Plane (Linear) Air Jet Velocity Profile for Slot Diffusers

2014 ◽  
Author(s):  
Deify Law ◽  
Agustin Valdez
Keyword(s):  
Velocity Profile ◽  
Jet Flows ◽  
Air Velocity ◽  
Flow Simulations ◽  
Air Jet ◽  
Isothermal Plane ◽  
Jet Velocity ◽  
Semi Empirical ◽  
Plane Jet ◽  
Free Plane

In the present work, computational modeling and simulations of isothermal plane (linear) air jet velocity profile for slot diffusers are performed. Plane air jets are formed by linear slots or rectangular openings with a large aspect ratio. Numerical simulations are performed using the commercial computational fluid dynamics (CFD) code ANSYS FLUENT. Three plane air jet flow simulations will be investigated such as free plane (linear) jets, attached jets, and air flow through a slot diffuser in a room setting. The purpose of simulating the free plane jet through a slot diffuser is to study the behavior of jet velocity profile that is not blocked by side walls or ceilings. The jet velocity profile is modified when obstructed by the walls and the air jet desires to attach to the surfaces along its path. For this reason, attached jet simulations through a slot diffuser will be conducted. The CFD study of plane air jet flows will eventually be extended to jet flows through a slot diffuser to a room to investigate the fluid flow behavior that enters a room under a ceiling. In addition, effects of two-equation turbulence models such as standard, renormalization group (RNG), and realizable k-ε on the CFD simulations will be investigated. Predicted velocity profiles and decays of free plane jet through a slot diffuser will be validated with a semi-empirical model [1]. Predicted velocity profiles of attached jet simulations will also be compared with a semi-empirical expression [2]. The slot diffuser air flow simulations will be compared with experimental data by the work of Chen and Srebric [3]. All simulations will be conducted at a specified inlet air velocity. The effects of grid resolution are also examined. It is established that the standard k-ε turbulence model best simulates attached and free jet flows. The standard k-ε turbulence model is applied to a room setting under isothermal conditions. The results are compared with non-isothermal experimental data [3]. It is shown that temperature which is a passive scalar has less influence on the flow pattern at a high air velocity than at a low air velocity in a room setting.

scholarly journals Numerical Benchmark for High-Reynolds-Number Supercritical Flows with Large Density Gradients

AIAA Journal ◽  
2016 ◽  
Vol 54 (5) ◽  
pp. 1445-1460 ◽  
Author(s):  
A. M. Ruiz ◽  
G. Lacaze ◽  
J. C. Oefelein ◽  
R. Mari ◽  
B. Cuenot ◽  
...  
Keyword(s):  
Reynolds Number ◽  
High Reynolds Number ◽  
Density Gradients ◽  
Large Density ◽  
High Reynolds ◽  
Supercritical Flows

Modelling circulation, impulse and kinetic energy of starting jets with non-zero radial velocity

2013 ◽  
Vol 719 ◽  
pp. 488-526 ◽  
Author(s):  
Michael Krieg ◽  
Kamran Mohseni
Keyword(s):  
Kinetic Energy ◽  
Radial Velocity ◽  
Jet Flows ◽  
Axisymmetric Jet ◽  
Image Velocimetry ◽  
Energy Modelling ◽  
Powerful Analytical Tool ◽  
Drastic Effect ◽  
Specific Configuration ◽  
Starting Jet

AbstractThe evolution of starting jet circulation, impulse and kinetic energy are derived in terms of kinematics at the entrance boundary of a semi-infinite axisymmetric domain. This analysis is not limited to the case of parallel jet flows; and the effect of non-zero radial velocity is specifically identified. The pressure distribution along the entrance boundary is also derived as it is required for kinetic energy modelling. This is done without reliance on an approximated potential function (i.e. translating flat plate), making it a powerful analytical tool for any axisymmetric jet flow. The pressure model indicates that a non-zero radial velocity is required for any ‘over-pressure’ at the nozzle exit. Jet flows are created from multiple nozzle configurations to validate this model. The jet is illuminated in cross-section, and velocity and vorticity fields are determined using digital particle image velocimetry (DPIV) techniques and circulation, impulse and kinetic energy of the jet are calculated from the DPIV data. A non-zero radial velocity at the entrance boundary has a drastic effect on the final jet. Experimental data showed that a specific configuration resulting in a jet with a converging radial velocity, with a magnitude close to 40 % of the axial velocity at its maximum, attains a final circulation which is 90–100 % larger than a parallel starting jet with identical volume flux and nozzle diameter, depending on the stroke ratio. The converging jet also attains a final impulse which is 70–75 % larger than the equivalent parallel jet and a final kinetic energy 105–135 % larger.

Stabilization mechanisms of lifted laminar flames in axisymmetric jet flows

2000 ◽  
Vol 123 (1-2) ◽  
pp. 23-45 ◽  
Author(s):  
Yung-Cheng Chen ◽  
Robert W. Bilger
Keyword(s):  
Laminar Flames ◽  
Jet Flows ◽  
Axisymmetric Jet

372 X-CHROMOSOME-BEARING SPERM SEPARATION BY Percoll™ DISCONTINUOUS DENSITY GRADIENT AND SEX RATIO DEVIATION IN IN VITRO PRODUCED BOVINE EMBRYOS

2010 ◽  
Vol 22 (1) ◽  
pp. 342
Author(s):  
A. P. Perini ◽  
A. C. Lucio ◽  
A. S. Carmo ◽  
M. C. V. Miguel ◽  
L. Z. Oliveira ◽  
...  
Keyword(s):  
Density Gradient ◽  
X Chromosome ◽  
Cumulus Cells ◽  
Embryonic Cell ◽  
Control Group ◽  
Density Gradients ◽  
Cleavage Rate ◽  
Female Embryo ◽  
Pcr Multiplex

The aims of this study were to separate X-chromosome-bearing bovine sperm by discontinuous Percoll ™ (GE Healthcare Bio-Science AB, Uppsala, Sweden) density gradients, validate the sexing of resultant IVF embryos by PCR, replace the bovine fetal serum (BFS) with BSA in the culture medium, to decrease male development advantage, and verify whether the gradient can be used in an IVF laboratory routine. The gradient was prepared by mixing Dubelcco’s Modified Eagle’s Medium (DMEM; Sigma Aldrich, St. Louis, MO, USA) with Percoll™ isotonic solution with 0.3% BSA, for different densities obtained ranging from 1.110 to 1.123 g mL-1, disposed in 3 layers into 15-mL conical tubes. For sexing, 40 million thawed sperm were overlaid on density gradients. The tubes were centrifuged at 500 g, for 15 min, at 22°C. After centrifugation, sperm sediment was used for IVF. For the control group, a Percoll™ 45, 90% gradient was used. The oocytes were selected from ovaries from slaughterhouse and maturated for 24 h in TCM-199 medium. After fertilization, oocytes and sperm were incubated for 20 h in 5% CO2, in humidified air at 38.5°C. Presumptive zygotes were denuded of cumulus cells, and washed in modified SOF medium and then transferred to 500 μL SOF in four well dishes. Embryo culture was carried out under mineral oil in a humidified atmosphere of 5% CO2, 5% O2, and 90% N2 at 38.5°C, and the cleavage assessed at 46 h and development to the blastocyst stage at Day 7. To obtain embryonic cell DNA for sex determination by PCR, 115 embryos of the sexed and 82 of the control group were used. Two pairs of primers of Y-specific sequences were split in two distinct samples. The first pair detected a sequence of 210 bp, and the second one 196 bp of the bovine Y-chromosome. A third one detected an autosomal sequence of 280 bp, indicating the presence of bovine genomic DNA. PCR multiplex was carried out in the same tube with first and third primers and the PCR of the second one was carried out in another tube. The results were analyzed by X2. Of the sexed group, from a total of 373 oocytes, the cleavage rate was 58.2% (n = 217); 35.6% (n = 133) produced embryos; 36.5% (n = 42) were male embryos and the female embryo rate was 63.5% (n = 73). From a total of 268 control oocytes, the cleavage rate was 63.8% (n = 171); produced embryos 37.3% (n = 100); 57.3% (n = 47) were male embryos and the female rate was 42.7% (n = 35). The Percoll™ density gradient for sperm sexing altered the proportion of IVF embryos toward more females. Because of fast and easy preparation, the gradient can be used routinely in an IVF laboratory and also, BSA can replace FBS for the IVF. FAPESP process number 59357-9 and CAPES

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