At low frequencies consideration of the quasi-static elastic moduli and densities of the gas and liquid parts of the mixture yields a value of sound velocity which is much lower than the velocity in either constituent. The computation has been confirmed experimentally in the concentration regions of 1 to 60% air by volume. The sound velocity was found from the change of phase in a plane progressive wave as a function of distance. Concentrations were determined from a measure of the hydrostatic pressure of the mixture. The “froth” was made by pumping the water rapidly past a porous glass filter through which the air was forced. A trace of detergent retarded the coalescence of bubbles. Minimum sound velocity in a water air mixture occurs at 50% concentration where the velocity is approximately 22 mps.

Calculation of Geometric Unsharpness, U_ 4 LIST OF FIGURES (continued) No. Title Page 5. Prints of a Microfocus Radiograph (Top) and a Conventional Radiograph (Bottom) of Green Ceramic Sample NB10, Showing Small Inclusions (Black Dots) 11 6. Echoes from a 3.8-mm-Thick YCrO., Sample Insonified with (Top) Longitudinal Waves and (Bottom) Shear Waves at 2.25 MHz 13 7. Sample Density vs Longitudinal Velocity of Sound for MgO + 20% Carbowax 14 8. Theoretical Upper and Lower Bounds for Longitudinal Velocity vs Carbowax Volume Fraction 15 9. Frequency Spectra for Longitudinal Waves Propagating in (A) Plexiglass and (B-D) Spinel Disks with Agglomerate Contents of (B) 0%, (C) 2%, and (D) 20% 17 10. Shear-Wave Velocity vs Applied Transducer Pressure for Silicon Nitride Greenware 18 11. Longitudinal-Wave Velocity vs Transducer Pressure for Spinel (Upper Curve) and Silicon Nitride Greenware 19 12. Phase Velocities (Dashed Curves) and Group Velocities (Solid Curves) of Longitudinal and Shear Waves as a Function of Frequency 20 13. Reference Transmission through Plexiglass 20 14. Variation of Received Longitudinal-Wave Specfum with Transducer Pressure 21 15. Comparison of Received Shear-Wave Spectra Obtained.with Transducer Pressures of 200 and 1400 kPa 21 16. Shear-Wave Spectrum for Spinel Sample NB2 21 17. NMR Image of Slices through a Water-doped SiC Disk (Axial View). . 23 18. NMR Image of Same Sample as Fig. 17 (Side View) 24 LIST OF TABLES I. Green Ceramic Specimens Used in the Present Investigation 3 II. Availability of Microfocus X-Ray Units 7 III. Sound Velocity in YCrO 3 Sample with PVA Binder 12

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