The effect of shear stress on solitary waves in arteries

Demiray H.

BULLETIN OF MATHEMATICAL BIOLOGY, vol.59, no.5, pp.993-1012, 1997 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 5
  • Publication Date: 1997
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.993-1012
  • Istanbul Technical University Affiliated: No


In the present work, we study the propagation of solitary waves in a prestressed thick walled elastic tube filled with an incompressible inviscid fluid. In order to include the geometric dispersion in the analysis the wall inertia and shear deformation effects are taken into account for the inner pressure-cross-sectional area relation. Using the reductive perturbation technique, the propagation of weakly non-linear waves in the long-wave approximation is examined. It is shown that, contrary to thin tube theories, the present approach makes it possible to have solitary waves even for a Mooney-Rivlin (M-R) material. Due to depen dence of the coefficients of the governing Korteweg-deVries equation on initial deformation, the solution profile changes with inner pressure and the axial stretch, The variation of wave profiles for a class of elastic materials are depicted in graphical forms. As might be seen from these illustrations, with increasing thickness ratio, the profile of solitary wave is steepened for a M-R material but it is broadened for biological tissues. (C) 1997 Society for Mathematical Biology.