Transport molecular

For some applications, one may use very simple approximations to the calculation of transport properties, that evaluate mixture properties from pure species properties via certain mixture averaging rules. However, we more often encounter applications in which the approximate averaging rules are not adequate, and multicomponent methods are necessary [103,178], [Pg.487]

This force, being one of a class of dissipative or frictional forces, is termed a nonconservative force, as are all forces that depend on velocity or time. [Pg.41]

The constant/ of Eq. 3.7 is known as the friction coefficient and, as used here, applies to a single object or particle. It is a fundamental parameter reflecting the magnitude of drag forces through fluids. It depends on the dimensions of the body in motion as well as upon the viscosity of the medium through which it moves (Chapter 4). [Pg.41]

The substitution of the sum of Fj and F from the last two equations for F in Eq. 3.5 yields the basic equation of motion [Pg.41]

Integration of this equation yields x(f), that is it provides particle coordinate x as a function of time t, and it thus fully describes particle motion along axis x. The same mathematical form, of course, applies to the other spatial coordinates y and z. These equations, upon integration, describe completely the trajectory of a macroscopic body through space. [Pg.41]

Now we must examine the differences that arise with molecules. [Pg.41]

Experimental investigations of the model system of dye molecules adsorbed onto surfaces of polystyrene spheres have finuly established the sensitivity and surface specificity of the SHG method even for particles of micrometre size [117]. The surface sensitivity of die SHG process has been exploited for probing molecular transport across the bilayer in liposomes [118], for measurement of electrostatic potentials at the surface of small particles [119] and for imaging... [Pg.1299]

Srivastava A and Eisenthal K B 1998 Kinetics of molecular transport across a liposome bilayer Chem. Phys. Lett. 292 345-51... [Pg.1305]

Figure C2.12.7. Channel system of MFI (top) and MEL (bottom). The linear channels are interconnected by zigzag channels in ZSM-5 while exclusively straight miming channels are present in ZSM-11 - larger internal openings are present at the chaimel intersections - the arrows indicate the pathways for molecular transport tlirough the channel system.

Nonmolecular species, including radiant quanta, electrons, holes, and phonons, may interact with the molecular environment. In some cases, the electronic environment (3), in a film for example, may be improved by doping with impurities (4). Contamination by undesirable species must at the same time be limited. In general, depending primarily on temperature, molecular transport occurs in and between phases (5), but it is unlikely that the concentration ratios of molecular species is uniform from one phase to another or that, within one phase, all partial concentrations or their ratios are uniform. Molecular concentrations and species that are anathema in one appHcation may be tolerable or even desirable in another. Toxic and other types of dangerous gases are handled or generated in vacuum systems. Safety procedures have been discussed (6,7). [Pg.366]

Molecular transport concerns the mass motion of molecules in condensed and gaseous phases. The mass motions are driven primarily by temperature. As time progresses, the initial mass motion results in concentration gradients. In the condensed phase, dow along concentration gradients is described by Fick s law. [Pg.371]

Laminar flame instabilities are dominated by diffusional effects that can only be of importance in flows with a low turbulence intensity, where molecular transport is of the same order of magnitude as turbulent transport (28). Flame instabilities do not appear to be capable of generating turbulence. They result in the growth of certain disturbances, leading to orderly three-dimensional stmctures which, though complex, are steady (1,2,8,9). [Pg.518]

The physics and modeling of turbulent flows are affected by combustion through the production of density variations, buoyancy effects, dilation due to heat release, molecular transport, and instabiUty (1,2,3,5,8). Consequently, the conservation equations need to be modified to take these effects into account. This modification is achieved by the use of statistical quantities in the conservation equations. For example, because of the variations and fluctuations in the density that occur in turbulent combustion flows, density weighted mean values, or Favre mean values, are used for velocity components, mass fractions, enthalpy, and temperature. The turbulent diffusion flame can also be treated in terms of a probabiUty distribution function (pdf), the shape of which is assumed to be known a priori (1). [Pg.520]

Skin. The skin s unique molecular transport and barrier properties pose a challenge for transdermal dmg dehvery. Diffusion of dmgs through the stratum corneum, the outer layer primarily responsible for the skin s limited permeabUity, varies by dmg, by skin site, and among individuals. Until recently, virtuaUy aU dmgs appHed to skin were topical treatments. [Pg.141]

Diffusion is the molecular transport of mass without flow. The diffu-sivity (D) or diffusion coefficient is the proportionality constant between the diffusion and the concentration gradient causing diffusion. It is usually defined by Fick s first law for one-dimensional, binary component diffusion for molecular transport without turbulence shown by Eq. (2-149)... [Pg.414]

Example The equation dQ/dx = (A/f/)(3 6/3f/ ) with the boundary conditions 0 = OatA.=O, y>0 6 = 0aty = oo,A.>0 6=iaty = 0, A.>0 represents the nondimensional temperature 6 of a fluid moving past an infinitely wide flat plate immersed in the fluid. Turbulent transfer is neglected, as is molecular transport except in the y direction. It is now assumed that the equation and the boundary conditions can be satisfied by a solution of the form 6 =f y/x ) =j[u), where 6 =... [Pg.457]

Conduction is the process by which heat flows by molecular transportation along or through a material or from one material to another, the material receiving the heat being in contact with that from which it receives it. Conduction takes place in solids, liquids and gases and from one to another. The rate at which conduction occurs varies considerably according to the substance and its state. [Pg.110]

Peptoid-Based Drug Delivery and Molecular Transporters Cellular Uptake... [Pg.8]

Wender, P.A., Mitchell, D.J., Pelkey, E.T., Steinman, L., and Rothbard, J.B. Xhe design, synthesis, and evaluation of molecules that enable or enhance cellular uptake Peptoid molecular transporters. Proc. Nad. Acad. Sci. USA 2000, 97, 13003-13008. [Pg.29]

Nevertheless, despite all these remarkable achievements, some open questions still remain. Among them is the influence of the molecular transport properties, in particular Lewis number effects, on the structure of turbulent premixed flames. Additional work is also needed to quantify the flame-generated turbulence phenomena and its relationship with the Darrieus-Landau instability. Another question is what are exactly the conditions for turbulent scalar transport to occur in a coimter-gradient mode Finally, is it realistic to expect that a turbulent premixed flame reaches an asymptotic steady-state of propagation, and if so, is it possible, in the future, to devise an experiment demonstrating it ... [Pg.151]

V.P. Karpov and E.S. Severin 1980, Effects of molecular transport coefficient on the rate of turbulent combustion, Fizika Goreniya I Vzryva 16(1) 45-51, translated by Plenum Publishing Corporation. [Pg.152]

Deflagration initiation. A relatively weak energy source, such as an electric spark, ignites the mixture and a laminar flame is first formed. The mechanism of laminar flame propagation is via molecular transport of energy and free radicals from the reaction zone to the unburnt mixture ahead of it. [Pg.198]

Mass and heat transfer to the walls in turbulent flows is a complex mixture of molecular transport and transport by turbulent eddies. The generally assumed analogy between mass and heat transfer by assuming Sh = Nu, is not valid for turbulent flows [26]. Simulations and measurements have shown that there is a laminar film close to the surface where most of the mass transfer resistance for high Sc liquids is located. This fUm is located below y+ = 1 and for low Sc fluids, and for heat transfer the whole boundary layer is important [27]. [Pg.346]

The gas motion near a disk spinning in an unconfined space in the absence of buoyancy, can be described in terms of a similar solution. Of course, the disk in a real reactor is confined, and since the disk is heated buoyancy can play a large role. However, it is possible to operate the reactor in ways that minimize the effects of buoyancy and confinement. In these regimes the species and temperature gradients normal to the surface are the same everywhere on the disk. From a physical point of view, this property leads to uniform deposition - an important objective in CVD reactors. From a mathematical point of view, this property leads to the similarity transformation that reduces a complex three-dimensional swirling flow to a relatively simple two-point boundary value problem. Once in boundary-value problem form, the computational models can readily incorporate complex chemical kinetics and molecular transport models. [Pg.335]

In addition to the self-spreading lipid bilayer, it was also found that a lipid mono-layer showed similar spreading behavior on a hydrophobic surface (Figure 13.6) [51]. By fabricating an appropriate hydrophobic surface pattern, the spreading area and direction can be easily controlled. For both the self-spreading bilayer and monolayer, non-biased molecular transportation is an important key concept for the next generation of microfiuidic devices. [Pg.230]

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