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During the impact of an ideal fluid on an impermeable surface, the velocity field undergoes a sudden change. For an irrotational flow the sudden change Q in the velocity potential is a harmonic function which satisfies a linear boundary condition on the solid surface of impact. But Q satisfies a...
The extension of the Biot–Tolstoy exact time‐domain solution to the density contrast wedge is used to develop an iterative procedure that facilitates construction of the first‐order perturbation of the exterior field with respect to distinct wave speed for a point source, which is either...
We derive the first approximation to the steady‐state basic flow between a rotating, circular inner cylinder and an outer fixed non‐circular cylinder, when the dimensionless gap‐width is small. The stability of this flow to Taylor vortex‐like small disturbances is then studied by a WKB...
We consider the diffraction of a prescribed train of monochromatic plane surface water waves by a vertical‐sided, perfectly reflecting thick breakwater standing on a horizontal bed in water of uniform undisturbed depth. The breakwater is punctuated by a series of N gaps, arbitrarily arranged....
We consider a quasistatic frictionless contact problem between a deformable body and a foundation. The material is assumed to have a nonlinear behaviour that we model with a rate‐type viscoplastic constitutive law involving internal state variables. The contact is modelled with normal...
Independent high Reynolds number flows driven along two co‐axial circular cylinders merge at the abrupt termination of the inner cylinder. The viscous mixing downstream of the trailing edge is discussed. The upstream response in the annular gap is governed by an interaction between the shear...
The influence of fluid elasticity is investigated by examining the biaxial inflation of a spherical shell of a viscoelastic fluid subject to a constant and a linearly ramped change of pressure. In contrast to the monotonic growth of a Newtonian fluid, that of a viscoelastic fluid is found to be...
The steady secondary flow in a tube of time‐dependent curvature is found numerically for values of the secondary streaming Reynolds number, R s , up to 5000. The results obtained for large values of R s compare favourably with the proposed asymptotic solution.
The problem of diffraction by a homogeneous dielectric wedge irradiated by a time‐harmonic plane wave at skew incidence is represented by uncoupled Fredholm integral equations of the second kind. It is shown that there exists a unique solution if the wave numbers of the exterior and interior...
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