Karl F. Herzfeld's Absorption and Dispersion of Ultrasonic Waves PDF

By Karl F. Herzfeld

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86. The force, deduced from the Lennard-Jones interaction potential, is calculated to higher powers of the molecular distance from the cell center. While the first power gives the Hooke's law restoring force, the higher powers produce a coupling between the motion of the molecule as a whole and the internal vibrations. , an absorption 100 times too high. , high energy) collisions, as in gases. To test this conclusion, the following procedure is adopted in Sec. 95. As the main relaxation time in most Kneser liquids has not been measured directly, one calculates a relaxation time which is necessary to give the measured low frequency absorption.

That is, its components P'^ transform, I. THE STOKES-NAVIER EQUATIONS OF HYDRODYNAMICS 35 upon rotation of the coordinate system, like the product x{x^ whether / is equal to i or not (see Fig. 6—1). RIGID ROTATION Fig. 6-1. Pure shear flow. If one wishes to understand the structure of Eq. (6—2), one first considers Eq. (6—2'). In the simple case of flow in the ^-direction, with a velocity gradient in the z-direction, one has in the normal manner P 13 s == η ~dz Since the shear stress is symmetrical in the two indices, it follows immediately that in more general flow patterns, this must be generalized to p" -Jdui .

P" is the only expression which is built linearly from first order spatial differential quotients of the velocity components, and which forms a proper symmetrical tensor of the second rank. That is, its components P'^ transform, I. THE STOKES-NAVIER EQUATIONS OF HYDRODYNAMICS 35 upon rotation of the coordinate system, like the product x{x^ whether / is equal to i or not (see Fig. 6—1). RIGID ROTATION Fig. 6-1. Pure shear flow. If one wishes to understand the structure of Eq. (6—2), one first considers Eq.

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Absorption and Dispersion of Ultrasonic Waves by Karl F. Herzfeld


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