Abstract

An analytical solution is presented for the flow field around a cylindrical pile penetrating an inviscid and incompressible fluid. The problem is solved by using the theory of a complex variable and conformal mapping and by transforming the governing flow equation from cartesian to orthogonal curvilinear coordinates. The stream function, velocity field, and octahedral shear strain rates are fully determined and presented in graphical form. It is shown that the assumption of infinite extent of the pile results in the fluid velocity vanishing along the pile shaft. The flow field obtained is thought to represent a first approximation to in situ strains generated during the penetration of a cylindrical pile in very soft cohesive soils. Key words : flow field, cylindrical pile, soft cohesive soil, strain rates, velocity field.

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