Abstract
An initial value investigation into the two dimensional problems of wave propagation in a viscous fluid of unlimited depth due to a harmonically oscillating pressure distribution has been made in this paper. An asymptotic analysis of the wave integrals for large values of time T has been carried out in some detail for a deeper understanding of both the steady state and transient solutions. With a view to derivation of the steady state solution, the limiting behaviour of the asymptotic solution as T → ∞ has also been given due attention. Finally, a comparison is made between the non-viscous and viscous solutions and this is followed by a discussion on the effects of viscosity on the transient wave motion.
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