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TIME-AND-SPACE STRUCTURE OF FORCE-DRIVEN RIGID SPHEREWAVEFIELD

This paper introduces a time-domain, causality-inspired description of a vector-source acoustic wavefield of arbitrary time evolution, where a sphere is a practical realisation of quasi-point contact surface without which a point force would not be able to exert an impact onto non-viscous fluid. At every space location, the resulting acoustic field is described by a pair of physical variables characterising the time evolution of fluid two-fold dynamic state, viz. particle velocity “governed” by the vector wave equation, as a leading quantity, with acoustic pressure as the accompanying quantity related to the velocity by the divergence relation. The time and space structure of the corresponding velocity-and-pressure kineto-elastic wavefield is illustrated in the paper for specific cases of source force timeforms inducing impulse-like disturbances in fluid. Dual pressure-and-velocity fundamental wavefield of quasi-point scalar source, “governed” by the scalar wave equation, is presented for the same set of excitation timeforms.

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Additional information

Category
Publikacja monograficzna
Type
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Language
angielski
Publication year
2015

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