A study on the non-linear flow of blood through arteries |
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Authors: | J C Misra S I Singh |
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Institution: | (1) Department of Mathematics, Indian Institute of Technology, Kharagpur, India |
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Abstract: | The pulsatile flow of blood through arteries is investigated in this paper by treating the blood vessel as a thin-walled anisotropic,
non-linearly viscoelastic, incompressible circular cylindrical shell; nonlinearities of the flow of blood are also paid due
consideration. The displacement components of the vessel wall are obtained from the equations of equilibrium which have been
linearized by employing the principle of superimposition of a small deformation on a state of known finite deformation. The
influence of the wall deformation on the flow properties of blood, has been accounted for by considering suitably formulated
continuity conditions. A finitedifference scheme is employed for solving the flow equations together with the boundary and
initial conditions by using the locally measured values of pressure and pressure gradient. Numerical results obtained for
the velocity profile of blood flowing in a canine middle descending thoracic aorta have been presented through figures. |
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