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Topic: Peclet number

Related Topics

Dimensionless number

Sherwood number

Rayleigh number

Nusselt number

Deborah number

Prandtl number

Thermal diffusivity

Reynolds number

Jean Claude Eugene Peclet

Anisotropy

Convection

Thermal conductivity

Conduction

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	Dimensionless number - Wikipedia, the free encyclopedia
		Such a number is typically defined as a product or ratio of quantities which have units of identical dimension, in such a way that the corresponding units can be converted to identical units and then cancel.
		Dimensionless numbers are widely used in the fields of mathematics, physics, and engineering but also in everyday life.
		The power consumption of a stirrer with a particular geometry is a function of the density and the viscosity of the fluid to be stirred, the size of the stirrer given by its diameter, and the speed of the stirrer.
	www.wikipedia.org /wiki/Dimensionless_Number (1041 words)

	Method for converting hydrocarbons in a three-phase reactor - Patent 6700030 (Site not responding. Last check: 2007-10-09)
		This Peclet number is equal to Pe.sub.g =H u.sub.g /D.sub.ax, where H is the expansion height of the catalytic bed, u.sub.g is the space velocity of the gas and D.sub.ax is the axial dispersion coefficient of the gas phase.
		The lower limit for the Peclet number depends on the activity of the catalyst in a perfectly stirred reactor in which conversion is minimal.
		The lower limit for the Peclet number depends on the activity of the catalyst in a perfectly stirred reactor, thus inter alia on its composition and/or its preparation method.
	www.freepatentsonline.com /6700030.html (2944 words)

	JFB Group Research
		The simulations are of a monodisperse suspension of Brownian hard spheres in simple shear flow as a function of the Peclet number, Pe, which measures the relative importance of hydrodynamic and Brownian forces, over a range of volume fraction 0.316 less than or equal to phi less than or equal to 0.49.
		Channel flow at zero Reynolds number of a monodisperse non-Brownian suspension of spheres in a monolayer was studied for a range of three parameters: bulk particle area fraction phi(A)(b), dimensionless gravitational parameter B = (U-0/[u])(H/a)(2), and dimensionless channel width H/a.
		The Peclet number is the ratio of transport by advection to diffusion; Pe = Ua/D, where U is the bulk velocity through the bed and D is the molecular diffusivity of the reactant in the fluid.
	www.che.caltech.edu /groups/jfb/abstracts.html (6051 words)

	Untitled (Site not responding. Last check: 2007-10-09)
		Numbers are, by definition, dimensionless quantities which somehow embody physically important characteristics of the systems being studied.
		The Reynolds number, often referred to as Re is a measure of the relative importance of intertial to viscous terms.
		The Peclet number (Pe) is a measure of the relative importance of advection to diffusion.
	dempster.whoi.edu /12.747/notes/lect15/l15s04.html (973 words)

	Model and Results
		The maximum non-dimensional initial depth used corresponds to the thickness of the ice layer, approximately 200 km, divided by the smallest radius of the surface manifestations, 2 km.
		For acceptable values of initial Péclet Number and non-dimensional initial depth, the radius at the cooling time is several times the initial radius (figure 4).
		Since the radius of the largest observed surface domes is on order of 10 km (figure 1) and the surface manifestation is several times the initial radius of the diapir, the initial diapir radii must be fairly small, only a few kilometers or less.
	www.agu.org /pubs/toc/gl/gl/gl9822/1998GL900135/node3.html (700 words)

	Boreside feed hollow fiber membrane device - Patent 5282964 (Site not responding. Last check: 2007-10-09)
		For membrane devices, a large Peclet number in the axial direction (along the length of the fibers) is desirable, while a small Peclet number in the radial and angular directions (perpendicular to the fibers) is desirable.
		The radial Peclet number for tubes 3 and 6 is 12.
		A number of single tube membrane devices were fabricated using bundles of varying diameters in order to investigate the impact of radial Peclet number on module performance.
	www.freepatentsonline.com:9003 /5282964.html (6388 words)

	Péclet number - Wikipedia, the free encyclopedia
		In physics, the Péclet number is a dimensionless number relating the forced convection of a system to its heat conduction.
		It is equivalent to the product of the Reynolds number with the Prandtl number.
		There are various definitions of the Péclet number.
	en.wikipedia.org /wiki/Peclet_number (85 words)

	Station Information - Dimensionless number
		According to the π-theorem, the n=5 variables can be reduced by the k=3 dimensions to form p=n-k=5-3=2 independent dimensionless numbers which are in case of the stirrer
		There are literally thousands (to be precise: infinite) dimensionless numbers including those being used most often: (in alphabetical order, indicating their field of use)
		Weber number: Characterization of mulitphase flow with strongly bended surfaces
	www.stationinformation.com /encyclopedia/d/di/dimensionless_number_1.html (398 words)

	Introduction (Site not responding. Last check: 2007-10-09)
		The Peclet number, Pe, is a dimensionless number that describes the relationship between convective and diffusive terms in a convection and diffusion equation.
		The Peclet and Reynolds numbers can be calculated both locally and globally, depending on which length scale is used in their definition.
		In the same way as the global Peclet and Reynolds numbers influence the global properties and stability of the solution, their local counterparts affect the stability of the numerical solution scheme.
	www-math.cudenver.edu /~jmandel/doc/refman/comman53.htm (457 words)

	McMillen, Thomas Joe (1976-07-15) The thermal constitutive behavior of suspensions. ...
		The bulk heat flux of a dilute suspension of rigid prolate spheroids is evaluated in the limit of small particle Peclet number for the undisturbed shear flow, [...], and the linear bulk temperature fields [...].
		Microscale velocity fields near the particle are calculated from the Stokes equations for small particle Reynolds number for arbitrary orientation and rotation of the particles, and temperature distributions for the small, but non-negligible Peclet number by the methods of matched asymptotic expansions.
		The components of the effective conductivity tensor for a stationary suspension is obtained, and the bulk heat flux due to the temperature gradients orthogonal to the flow evaluated for the case of significant rotational Brownian motion of the particles.
	etd.caltech.edu /etd/available/etd-04092004-154630 (494 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		As the fluid velocity increases, the Peclet number increases, and the influence of diffusion decreases.
		This confines the tracer transport, represented by a number of particles, to the fractures and the fracture intersection.
		As the Peclet number increases somewhere above 102, the mixing ratio approaches zero, the tracer transport is dominated by the streamline routing, and the relative concentration in the right-hand branch approaches 0.
	www-library.lbl.gov /docs/LBNL/485/31/SRC/LBNL-48531.doc (5314 words)

	Technical Program Paper Detail - AIChE
		The number of periodic solutions which can arise depends on several parameters, but of main importance is the effective axial thermal dispersion, i.e.
		The number of periodic solutions may change by relatively small changes in axial dispersion thus the qualitative dynamic behaviour is affected.
		The modified energy Peclet number is necessary to capture the dynamic behaviour, whereas the modified mass Peclet number mainly affects the steady state profile.
	www.aiche.org /conferences/techprogram/paperdetail.asp?PaperID=1926&DSN=annual2k (378 words)

	STANTON NUMBER (Site not responding. Last check: 2007-10-09)
		A number expressing the ratio of the heat transmission perpendicular and parallel to the flow direction, defined as h/cp ?v where h is the heat transfer coefficient, cp is the specific heat, ?
		A dimensionless number, defined by the identity St = alpha:(rho c sub p w sub 0)where alpha is the heat transfer coefficient, rho and c sub p are the density and specific heat(at constant pressure)of the fluid, w sub 0 is the characteristic velocity of the fluid.
		The ratio of the Nusselt number to the Peclet number.
	www.websters-online-dictionary.org /St/Stanton+number.html (412 words)

	Dimensionless Number - Wikipedia
		According to the Pi-Theorem, the functional dependence between a certain number of variables (e.g.: n) can be reduced by the number of independent dimensions occuring in those variables (e.g.
		The dimensionless numbers can be derived by dimensional analysis.
		According to the Pi-Theorem, the n=5 variables can be reduced by the k=3 dimensions to form p=n-k=5-3=2 independent dimensionless numbers which are in case of the stirrer
	nostalgia.wikipedia.org /wiki/Dimensionless_Number (249 words)

	1994 Building Publications - Fractal Growth in Hydrodynamic Dispersion Through Random Porous Media. (Site not responding. Last check: 2007-10-09)
		The morphology of a spreading dye (or tracer), as a function of Peclet number, is studied.
		In the limit of infinite Peclet number, the dye pattern formed is fractal with fractal dimension close to that observed in diffusion-limited aggregation (DLA) in both two and three dimensions.
		At moderately high Peclet numbers the pattern formed by the dispersing dye in a two-dimensional porous medium is fractal over the concentration are self-affine with an anomalously large roughness exponent.
	www.fire.nist.gov /bfrlpubs/build94/art015.html (164 words)

	[No title]
		Note the analogy between the hydrodynamic electrodes (under first-order convection approximations) - the Peclet number, Pe, is the ratio of mass transport by convection to that by diffusion (defined symbolically for each geometry in section 10.3).
		At high Peclet numbers, the diffusion layer is constrained close to the electrode surface and there is little propagation of axial diffusion upstream or downstream of the electrode.
		Figure 10.3: Number of connections in an Artificial Neural network with an equal number of nodes per layer (where the number of nodes was not exactly divisible by the number of layers, nodes were dropped to maximise the number of connections).
	physchem.ox.ac.uk /~rgc/john/Thesis/10/10.html (3893 words)

	18.4 Differencing Schemes
		It can be seen that for approximately zero values of the Peclet number the problem reverts to one of pure diffusion.
		The problems with this differencing scheme are that exponentials are expensive in terms of computational time and for greater than one dimensions the scheme is not exact and so the computation time cannot be justified.
		It should be noted that when the Peclet number is in the range -2 to 2 then the hybrid scheme reduces to the central difference scheme and outside this range it uses a modification of the upwind scheme where the diffusion has been set to zero.
	staffweb.cms.gre.ac.uk /~physica/phy2.12/theory/node137.htm (830 words)

	ME 314 Lab 7
		This number is the ratio of relative strengths of the advective and conductive terms in Equations (3) and (4) and is defined as
		This scheme is only valid for small Peclet numbers, typically P As the Peclet number tends toward zero we have pure conduction and a linear relationship exists.
		Whether or not the Peclet number is negative or positive depends on the direction of the velocity.
	php.engr.iupui.edu /~mrnalim/me314lab/lab07.htm (2397 words)

	FIPOST USER'S MANUAL: 3. PLOT COMMANDS, 3.1-3.5 (Site not responding. Last check: 2007-10-09)
		The number of components of the vector variable is the same as the number of components of the velocity vector -- that is, NDFVL; the vector components are stored in the same manner as the UF vector described above.
		When the PECLET keyword is specified with no value or with a value of 0, the cell Peclet number for the energy equation is contoured.
		When the ENUMBERS keyword is specified, element numbers are plotted at the centroid of the element for 2-D plots and at the centroid of the visible element faces for 3-D plots.
	www.shef.ac.uk /mecheng/staff/xyl/fidap/help/fipost/ps03_01-05.htm (6267 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		(that is the degree to which advection dominates the transport) is reflected by the grid Peclet Number:
		or, if molecular diffusion is trivial, which is probably the case in a situation where you are concerned about the dominance of advection, then you can simplify the Peclet number to:
		Peclet number will decrease oscillations, improve accuracy & decrease numerical dispersion.
	www.mines.edu /~epoeter/583/13/discussion/peclet.htm (154 words)

	RPI-NASA IDGE Homepage
		The Péclet number is a zero parameter test of the Ivantsov model as there are no adjustable parameters.
		In spite of the large uncertainties is some of the measurements, the scaling parameter does not appear to be a constant over the full supercooling range of these experiments.
		Detailed view of the Péclet number versus supercooling in the supercooling range where dendritic growth is diffusion-limited with the boundary conditions at infinity.
	www.rpi.edu /locker/56/000756/figures.html (550 words)

	Nusselt number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		The Nusselt number is a (additional info and facts about dimensionless number) dimensionless number which measures the enhancement of heat transfer from a surface which occurs in a 'real' situation, compared to the heat transfer that would be measured if only conduction could occur.
		Typically it is used to measure the enhancement of heat transfer when convection takes place.
		The Nusselt number can also be viewed as being a dimensionless temperature gradient at the surface.
	www.absoluteastronomy.com /encyclopedia/N/Nu/Nusselt_number.htm (117 words)

	[No title]
		The large number of nodes in the x co-ordinate was necessary to ensure a converged solution at low Peclet numbers.
		The high number of regularly-spaced x-nodes required to span the axial diffusion occurring at low Peclet numbers, and yet maintain a reasonable mesh over the electrode.
		Depending on the number of nodes chosen, a node may not fall on the edge of the electrode, i.e.
	physchem.ox.ac.uk /~rgc/john/Thesis/6/6.html (3420 words)

	Session DC - Turbulent Mixing III.
		These two simulation techniques are used in this presentation to show that the mixing layer at moderate Peclet number very nearly evolves with a single length and time scale, and that behavior consistent with self-similarity is observed in the case of infinite Peclet number.
		In particular we have measured the number of zero crossings of a velocity component in grid turbulence using hot wire anemometry.
		We have found that the number of zero crossings scales as (L/\eta)^2/3, where L is the integral length scale and \eta is the Kolmogorov lenth scale.
	flux.aps.org /meetings/YR99/DFD99/abs/S420.html (1451 words)

	On the Monotonicity of the Nusselt Number as a Function of the Peclet Number (Site not responding. Last check: 2007-10-09)
		On the Monotonicity of the Nusselt Number as a Function of the Peclet Number
		On the Monotonicity of the Nusselt Number as a Function of the Peclet Number:SIAM Journal on Applied Mathematics Vol.
		The authors consider an arbitrarily shaped body of finite extent that is kept at a constant temperature and immersed in an infinitely large fluid bath.
	epubs.siam.org /sam-bin/dbq/article/23758 (160 words)

	Box 1 \| Controlled microfluidic interfaces : Nature (Site not responding. Last check: 2007-10-09)
		Viscosity, the internal friction of a fluid, produces a resistance to shear and a tendency for the fluid to move in parallel layers known as laminar flow; and inertia, the tendency of a body in motion to retain its initial motion, counters laminar flow and can ultimately result in turbulent flow.
		The Peclet number, Pe, provides an indication of the relative importance of diffusion and convection, diffusion being the random thermal motion of molecules within their surrounding environment and convection the transport as a result of bulk motion of a fluid
		The ratio between viscous and capillary forces is given by the capillary number.
	www.nature.com /nature/journal/v437/n7059/box/nature04163_BX1.html (301 words)

	Peclet number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Peclet number -- Facts, Info, and Encyclopedia article
		It is equivalent to the product of the (additional info and facts about Reynolds number) Reynolds number with the (additional info and facts about Prandtl number) Prandtl number.
		It named after (additional info and facts about Jean Claude Eugene Peclet) Jean Claude Eugene Peclet (1793-1857).
	www.absoluteastronomy.com /encyclopedia/p/pe/peclet_number.htm (152 words)

	unit 3 (Site not responding. Last check: 2007-10-09)
		As a reminder, the Peclet number is calculated from:
		In the plug flow model, we assume there is no mixing in the flow direction (Pe >>1); in the completely mixed model, we assume the water body is uniformly mixed in the prevailing flow direction (Pe << 1).
		Remember we are using the Peclet number as a tool for assessing use of a model; small changes in Pe won't have a great effect on our assessment.
	www.usfca.edu /envsci/envs654/unit3/unit3so2.htm (1030 words)

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