[Pulsatile flow in an elastic circular tube. 1. The application of the finite Hankel transforms to the equations for the flow].
The finite Hankel transforms are applied to the linealized equations of motion for the pulsatile flow in an elastic circular tube. In this paper, the time dependency of the pressure is the known function which is represented by Fourier series expansion. The Fourier transforms are applied to the quantities of the axial components of the pressure and flow velocities, and the finite Hankel transforms are applied to the radial components of them. It is shown that the solutions of the flow velocities are adequate forms for computer calculation. Using the Fourier series coefficients given by the data of the pressure in time, we can calculate the flow pattern in the steady state.
Urashima
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D005583:Fourier Analysis; D008433:Mathematics; D011673:Pulsatile Flow; D012212:Rheology