Solitary waves in a tapered prestressed fluid-filled elastic tube |
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Authors: | Hilmi Demiray |
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Institution: | (1) Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt |
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Abstract: | In the present work, treating the arteries as a tapered,
thin walled, long and circularly conical prestressed elastic tube
and using the longwave approximation, we have studied the
propagation of weakly nonlinear waves in such a fluid-filled
elastic tube by employing the reductive perturbation method. By
considering the blood as an incompressible inviscid fluid the
evolution equation is obtained as the Korteweg-de Vries equation
with a variable coefficient. It is shown that this type of
equations admit a solitary wave type of solution with variable
wave speed. It is observed that, the wave speed increases with
distance for positive tapering while it decreases for negative
tapering. |
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Keywords: | |
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