Motion curvilinear

The collection efficiency of particles at a stage of an impactor is based on curvilinear motion and assumes Reynolds numbers for flow greater than 500 but less than 3000. Figure 8A illustrates the principle of inertial sampling in which particles with high momentum travel in the initial direction of flow of an airstream impacting on an obstructing surface and those with low momentum adjust to the new direction of flow and pass around the obstruction. The efficiency of this phenomenon can be described as follows ... 

Fig. 12. Potential energy surface for C2v structures of HjO. Rectilinear displacements of the hydrogen atoms would occur along straight lines on this surface. The dotted line shows a curvilinear motion keeping the OH bond length constant. The contours (- 10, - 9, - 8, - 7 eV) have been drawn from the analytical potential of Murrell and Sorbie U35).

When particles experience a mean curvilinear motion and also have Brownian agitation, they are deposited on obstacles by both mechanisms. For very small particles of radii less than 0.1 /xm, Brownian motion dominates particle collection on surfaces. For larger particles, inertial forces dominate. An example of the difference in collection efficiency for spherical collectors of different size is shown in Fig. 3 for different particle diameters and aerosol flow velocity. 

The magnitude of the accelerating force that acts on a particle in curvilinear motion depends on the particle inertia. The greater the inertia of the particle, the greater will be the displacement. Inertia depends on particle mass and velocity. Heavy particles will be displaced more from the streamlines in which they are traveling than light ones, and increases in velocity will increase displacement for a particle of given mass. 

In circular motion velocity is always parallel to the direction of motion and perpendicular to the radius of motion. The acceleration required to change the velocity s direction, called centripetal acceleration, is always perpendicular to the velocity and toward the center of motion. To change the velocity s magnitude an acceleration is required in the direction of the velocity. Hence, acceleration is required to change both magnitude and direction of velocity and are in different directions. This is applicable to curvilinear motion in general. 

The benefits of taking curvilinear motions of atoms into account when calculating vibrational corrections having already been referred to in this review. The program SHRINK makes this almost routine, by using the so-called first order approximation, which uses the second derivatives of atomic positions, calculated at the equilibrium positions. The r structures obtained in this way are a great improvement on their predecessors - but it is always... 

This curvilinear motion continues up to the reptation time trep where the chain has curvilinearly diffused the complete length of the tube, of order aNjN. At times longer than the reptation time (/ > Trep) the mean-square displacement of a monomer is approximately the same as the centre of mass of the chain and is a simple diffusion with diffusion coefficient D [Eq. (9.12)]. 

The collection efficiency of particles at a stage of an impactor is based on curvilinear motion and assumes Reynolds numbers for flow greater than 500 but less than... 

Reaction-path coordinates were first described in detail by Marcus (1966). Choosing a curve 4 in the two-dimensional configuration space (x, X) for the reaction AB + C -> A + BC, he introduced two new variables the distance s along ( , and r, the shortest distance of nearby points in the plane to < . He then proposed an adiabatic-separable method that included curvilinear motion effects. Writing for the potential V, without loss of generality,... 

Petrov, A. G., Curvilinear motion of an ellipsoidal bubble, J. Appl. Mech. Techn. Phys., No. 3, 1972. 

Huygens discovered the laws of circular motion. At the same time he furnished the method of determining to what circle each element of any curve ought to belong. By combining these two theories Newton discovered the theory of curvilinear motion and applied it to those laws which Kepler had found to be followed by the planets in their elliptical orbits. 

A model of the steric constraints provided by a gel during DNA electrophoresis. The DNA is assumed to move in a curvilinear motion along the tube axis. 

McCloskey, M., Caramazza, A., Green, B., Curvilinear motion in the absence of external forces Naive beliefs about the motion of objects Science, 210, (December 5), 1139-1141, 1980. 

Treatment of curvilinear motions of atoms is becoming more widespread, leading to structures of the type r. Approaches to equilibrium structures continue to be explored, generally depending on analysis of spectroscopic as well as diffraction data. Progress in this area has been reviewed, and results for several specific molecules are discussed below. 

Slider bearings are also called ways or guide bearings and are meant for rectilinear and curvilinear motion. 

Cp,t (N-s)/m Eriction coefficient for curvilinear motion of polymer in a tube 7.5... 

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