Thermal explosions of methyl isocyanide: a re-examination of the data

1979 ◽  
Vol 57 (19) ◽  
pp. 2677-2679 ◽  
Author(s):  
Huw O. Pritchard
Keyword(s):  
Activation Energy ◽  
Rayleigh Number ◽  
Interpolation Method ◽  
Fixed Temperature ◽  
Methyl Isocyanide ◽  
Thermal Explosions ◽  
Explosion Parameter ◽  
Arrhenius Temperature ◽  
Very High ◽  
Large Vessels

By the use of an improved interpolation method for the rate constants for the thermal isomerisation of methyl isocyanide, it is found that a pattern emerges in the previously unexplained scaling behaviour of the critical explosion parameter (δc). At low Rayleigh number (where δc should be constant) the ratio (δ/Ra)c for a fixed temperature is approximately constant for seven spherical vessels of volumes 0.3 to 5 L. Also, in the limit of very large vessels, or very high temperatures, it appears that the Arrhenius temperature coefficient of (δ/Ra)c tends to the activation energy of the reaction.

Linear stability of rotating convection in an imposed shear flow

1997 ◽  
Vol 350 ◽  
pp. 271-293 ◽  
Author(s):  
PAUL MATTHEWS ◽  
STEPHEN COX
Keyword(s):  
Rayleigh Number ◽  
Shear Flow ◽  
Eigenvalue Problem ◽  
Linear Stability ◽  
Thermal Convection ◽  
Critical Rayleigh Number ◽  
Rotation Vector ◽  
Linear Stability Theory ◽  
Fixed Temperature ◽  
Differential Motion

In many geophysical and astrophysical contexts, thermal convection is influenced by both rotation and an underlying shear flow. The linear theory for thermal convection is presented, with attention restricted to a layer of fluid rotating about a horizontal axis, and plane Couette flow driven by differential motion of the horizontal boundaries.The eigenvalue problem to determine the critical Rayleigh number is solved numerically assuming rigid, fixed-temperature boundaries. The preferred orientation of the convection rolls is found, for different orientations of the rotation vector with respect to the shear flow. For moderate rates of shear and rotation, the preferred roll orientation depends only on their ratio, the Rossby number.It is well known that rotation alone acts to favour rolls aligned with the rotation vector, and to suppress rolls of other orientations. Similarly, in a shear flow, rolls parallel to the shear flow are preferred. However, it is found that when the rotation vector and shear flow are parallel, the two effects lead counter-intuitively (as in other, analogous convection problems) to a preference for oblique rolls, and a critical Rayleigh number below that for Rayleigh–Bénard convection.When the boundaries are poorly conducting, the eigenvalue problem is solved analytically by means of an asymptotic expansion in the aspect ratio of the rolls. The behaviour of the stability problem is found to be qualitatively similar to that for fixed-temperature boundaries.Fully nonlinear numerical simulations of the convection are also carried out. These are generally consistent with the linear stability theory, showing convection in the form of rolls near the onset of motion, with the appropriate orientation. More complicated states are found further from critical.

Numerical Analysis of Temperature Distribution in a Three-Dimensional Image-Based Hand Model

2010 ◽  
Author(s):  
Hongwei Shao ◽  
Ying He ◽  
Lizhong Mu
Keyword(s):  
Heat Transfer ◽  
Blood Flow ◽  
Porous Media ◽  
Temperature Distribution ◽  
Interpolation Method ◽  
Local Equilibrium ◽  
Human Hand ◽  
Anatomic Structure ◽  
Blood Flow Modeling ◽  
Large Vessels

In the present study, a simulation has been developed to investigate the blood and temperature distribution in the human hand. The simulation consists of image-based mesh generation, blood flow modeling in large vessels, and finite element analysis of heat transfer in tissues based on the porous media theory. In order to reconstruct a real geometric mesh model of the human hand, sequential MR images of a volunteer’s hand was taken firstly. Furthermore, a MATLAB program was developed to detect the edge information of the target by applying several image preprocessing operators. Finally, a FORTRAN program based on the transfinite interpolation method was developed to generate mesh from the preprocessed images automatically, and the positions of simplified bones and vessels were set according to the anatomic structure. The blood flow in large vessels adopted in this study was provided from the one-dimensional simulation of blood circulation in the upper limb, which was completed by He [1]. On the other hand, blood flow perfused in solid tissues through the micro vessels was expressed by Darcy model. The heat transfer in tissues was described by the energy equation for porous media with assuming that a local equilibrium was achieved between the blood and tissue phase. The primary results for the distribution of the blood flow perfused in tissues and temperature were obtained in this study, and they were similar to the real state of the human hand. The improvement of this simulation will be the next work.

Electrical Properties of Fresnoite Ba2TiSi2O8 Using Impedance Spectroscopy

2013 ◽  
Vol 795 ◽  
pp. 640-643 ◽  
Author(s):  
Rozana A.M. Osman ◽  
Mohd Sobri Idris
Keyword(s):  
Activation Energy ◽  
Solid State ◽  
Sintering Temperature ◽  
Second Harmonic ◽  
Conventional Solid State Reaction ◽  
Reaction Phase ◽  
Tetragonal Unit Cell ◽  
Phase Pure ◽  
Very High ◽  
Centrosymmetric Structure

Fresnoite with composition Ba2TiSi2O8 (B2TS2) was first found in 1965, adopting a non-centrosymmetric structure. It also reported to crystallize in a tetragonal unit cell with a=8.52Å and c=5.210Å leading to some possible application as hydrophone, transducer and second harmonic generation and low temperature co-fired ceramics (LTCC). B2TS2 were synthesized by conventional solid state reaction. Phase pure B2TS2 was obtained after heating the pellets at a final sintering temperature of 1230 °C in air at 92 h. Study found that Fresnoite B2TS2 is a type of materials which are not ferroelectric and instead show perfect dielectric insulator behaviour with resistance >106Ωcm at temperatures below 750°C and also shows nonideal debye respone. The activation energy for conduction of B2TS2 samples is very high, indicating that these materials are highly insulating.

Lower Bounds to the Critical Rayleigh Number in Completely Confined Regions

1967 ◽  
Vol 34 (2) ◽  
pp. 308-312 ◽  
Author(s):  
M. Sherman ◽  
S. Ostrach
Keyword(s):  
Rayleigh Number ◽  
Lower Bounds ◽  
Body Force ◽  
Critical Rayleigh Number ◽  
Convective Motion ◽  
The Body ◽  
Maximum Dimension ◽  
Fixed Temperature ◽  
Boussinesq Fluid ◽  
The Given

A method is presented for estimating lower bounds to the minimum Rayleigh number that will induce a state of convective motion in a quasi-incompressible (Boussinesq) fluid where the temperature gradient is in the direction of the body force. The fluid is completely confined by fixed-temperature, rigid bounding walls. For any arbitrary region, the critical Rayleigh number is greater than 1558(h/D)4 where h is the maximum dimension of the given region in the direction of the body force and D is the diameter of an equal volume sphere. In certain simple geometrical configurations, improved lower-bound estimates are calculated.

Rayleigh number scaling in numerical convection

1996 ◽  
Vol 310 ◽  
pp. 139-179 ◽  
Author(s):  
Robert M. Kerr
Keyword(s):  
Boundary Layer ◽  
Rayleigh Number ◽  
Large Scale ◽  
Stokes Equations ◽  
Good Evidence ◽  
Navier Stokes ◽  
Fixed Temperature ◽  
Navier Stokes Equations ◽  
Local Boundary ◽  
Velocity Boundary Layer

Using direct simulations of the incompressible Navier-Stokes equations with rigid upper and lower boundaries at fixed temperature and periodic sidewalls, scaling with respect to Rayleigh number is determined. At large aspect ratio (6:6:1) on meshes up to 288 × 288 × 96, a single scaling regime consistent with the properties of ‘hard’ convective turbulence is found for Pr = 0.7 between Ra = 5 × 104 and Ra = 2 × 107. The properties of this regime include Nu ∼ RaβT with βT = 0.28 ≈ 2/7, exponential temperature distributions in the centre of the cell, and velocity and temperature scales consistent with experimental measurements. Two velocity boundary-layer thicknesses are identified, one outside the thermal boundary layer that scales as Ra−1/7 and the other within it that scales as Ra−3/7. Large-scale shears are not observed; instead, strong local boundary-layer shears are observed in regions between incoming plumes and an outgoing network of buoyant sheets. At the highest Rayleigh number, there is a decade where the energy spectra are close to k−5/3 and temperature variance spectra are noticeably less steep. It is argued that taken together this is good evidence for ‘hard’ turbulence, even if individually each of these properties might have alternative explanations.

Kinetics of 2-Chloro-6-Nitrotoluene Hydrogenation on Palladium/Carbon Catalyst without Inhibitors

2012 ◽  
Vol 487 ◽  
pp. 107-110
Author(s):  
Feng Wen ◽  
Yi Feng Zhu ◽  
Xiao Nian Li
Keyword(s):  
Activation Energy ◽  
High Selectivity ◽  
Hydrogenation Reaction ◽  
Zero Order ◽  
Carbon Catalyst ◽  
Free Condition ◽  
Solvent Free Condition ◽  
Favorable Conditions ◽  
Kinetics Of ◽  
Very High

Pd-only catalyst supported on activated carbon has been prepared by chemical impregnation and used to catalyze the hydrogenation of 2-chloro-6-nitrotoluene (2-CNT) to 3-chloro-2-methylaniline in solvent-free condition. The effects of reaction temperature，H2 pressure on the hydrogenation have been investigated. The reaction showed very high selectivity with the dehalogenation side product with a yield of less than 1.2 %. The most favorable conditions could be temperature= 353 K, stirring speed= 1200 rpm, H2 pressure= 1 MPa. The catalytic hydrogenation reaction was found to have a zero order with hydrogen and 1 order with 2-CNT. The apparent activation energy of the hydrogenation was 60.58 kJ/mol.

Solution Autoxidation of EPDM and Termonomers

1972 ◽  
Vol 45 (4) ◽  
pp. 1125-1135
Author(s):  
H. Schnecko ◽  
J. S. Walker
Keyword(s):  
Activation Energy ◽  
Molecular Weight ◽  
Oxygen Uptake ◽  
The Other ◽  
Low Molecular Weight ◽  
Kinetic Behavior ◽  
Ethylene Propylene ◽  
Very High

Abstract Oxygen uptake of 3 low molecular weight ethylene-propylene terpolymers (EPDM) and their respective bicyclic diolefin termonomers (dicyclopentadiene, ethylidene norbornene, and methyl endomethylene hexahydronaphthalene) has been measured at ⩽70°. From the kinetic behavior and from the activation energy, it has been concluded that ethylidene norbornene reacts differently from the other two monomers; its autoxidation is much slower. In all cases, conversion is not very high due to formation of an unidentified inhibitor.

Elastic After-Effect Due to Oxygen Relaxation in Yba2Cu3O7−δAbove Tc

1990 ◽  
Vol 209 ◽  
Author(s):  
J. R. Cost ◽  
P. E. Armstrong ◽  
R. B. Poeppel ◽  
J. T. Stanley
Keyword(s):  
Activation Energy ◽  
Relaxation Time ◽  
Internal Friction ◽  
Relaxation Times ◽  
Tracer Diffusion ◽  
Induced Motion ◽  
Arrhenius Temperature Dependence ◽  
After Effect ◽  
Friction Measurements ◽  
Arrhenius Temperature

ABSTRACTIsothermal elastic after-effect measurements to obtain relaxation times for the stress-induced motion of oxygen in YBa2Cu3O7−δ have been made from 50°C to 110°C. These results extend our previous internal friction measurements of the same oxygen relaxation to lower temperatures. The combined results, which cover nine orders of magnitude in relaxation time, show a classical Arrhenius temperature dependence, activation energy Q−1.13±0.01 eV and attempt frequency τ0−1.6×10−13 s (log τ0−.12.79±0.13). The mechanism of the relaxation is considered to be stress-induced ordering of oxygen atoms on theCuO basal plane. Diffusivities obtained from these results are compared with those from tracer diffusion of oxygen.

Application of temperature-programmed desorption to surfaces with physically adsorbed species

1968 ◽  
Vol 46 (6) ◽  
pp. 1033-1036 ◽  
Author(s):  
H. P. Schreiber ◽  
A. G. MacKinnon
Keyword(s):  
Activation Energy ◽  
Acetic Acid ◽  
Chain Length ◽  
High Stability ◽  
Temperature Programmed Desorption ◽  
Adsorbed Species ◽  
Pigment Surface ◽  
Temperature Programmed ◽  
Activation Energy Of Desorption ◽  
Very High

Temperature-programmed desorption has been applied to physisorbed aliphatic alcohols and acids on a rutile pigment surface. Reproducible desorption chromatograms for a series of alcohol adsorbates indicate that the same sites are involved in adsorbing the series and that the adsorbate orientation from the surface deviates progressively from normal as the chain length increases. The data also infer a reduction in the activation energy of desorption with increasing chain length. Acid adsorbates also generate reproducible chromatograms, those for formic and acetic acid showing characteristic peaks near 300 °C. The reason for the very high stability of these adsorbates has not yet been resolved.

scholarly journals Unentangled Vitrimer Melts: Interplay between Chain Relaxation and Cross-link Exchange Controls Linear Rheology

2020 ◽  
Author(s):  
RALM RICARTE ◽  
Sachin Shanbhag
Keyword(s):  
Activation Energy ◽  
A Priori ◽  
Relaxation Times ◽  
Cross Link ◽  
Time Dynamics ◽  
Temperature Dependences ◽  
Long Time ◽  
Arrhenius Temperature Dependence ◽  
Short Time ◽  
Arrhenius Temperature

<div>Using this theoretical approach, we explore the influence of molecular structure and temperature on vitrimer linear</div><div>viscoelasticity. We observe that vitrimers with uniform and random cross-link distributions exhibit larger viscosities</div><div>and relaxation times than gradient and blocky types. Polydimethylsiloxane vitrimer (which has a flexible backbone) shows an Arrhenius temperature dependence for viscosity, while polystyrene vitrimers (which has rigid backbones) are only Arrhenius at high temperatures. During stress relaxation, the short time dynamics represent monomer friction, while the long time dynamics encompass a combination of network strand relaxation and cross-link exchange. Because of the different temperature dependences of the processes, time-temperature superposition fails. We also show that the effective rheological activation energy can be estimated a priori using only the cross-link exchange activation energy and the backbone Williams-Landel-Ferry parameters.</div><div><br></div><div>(Submitted to Macromolecules)</div>

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