Unsteady flow of blood through narrow blood vessels— a mathematical analysis

✍ Scribed by J.C. Misra; M.K. Patra; B.K. Sahu

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 779 KB
• Volume: 24
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(92)90017-c

✦ Synopsis

Of c(mcern in the paper is a study of unsteady flow of blood in a uniform arteriole segment under various bo,,-dA~ conditions at the wall. The blood vessel is modelled as an initially stressed orthotroplc elastic tube filled with a viscous incompressible fluid representing blood which is treated here as a polar fluid. As for the equations governing the motion of the arteriole wall, we have taken a pair of appropriate equations derived in one of our earlier communications, by using suitable constitutive relations and the principle of superimposition of a sinai/additional deformation on a state of known finite deformation. Numerical computations of the derived analytical expressious for velocity distribution, pressure, total angular velocity, wall shear stress, flow rste and resistance to fluid motion have been carried out. Variations of these quantities as functions of frequency and the system parameters have been studied with a view to illustrate the applicability of the mathematical model.