A study on the applications of visco flows with a reference to elastic fluid in tubes

The numerical study of this problem focuses on how waves go through a distensible tube that is filled with a viscous fluid. The most important use is in biofluid mechanics, which places a significant emphasis on the interaction between fluids and solids. A quasi-1D differential model was used to represent the data since it was assumed that pressure waves would have a long wavelength and a modest amplitude. The model took into consideration the viscoelastic properties of the the vessel wall showed deformations along both the radial and axial axes. The nonlinear problem was solved using a finite difference method on a staggered grid. The response was provided without the use of any dimensions. The boundary conditions took into consideration both persistent oscillations caused by a periodic pushing pressure and spontaneous oscillations in a deformable tube fixed at the ends. Natural frequency (denoted by the symbol S t) was found to be independent of viscosity and to approach equality with the square root of the elasticity coefficient. It has been shown that the damping time is inversely proportional to the wall viscosity coefficient, and that the viscosity of the fluid provides an even bigger damping factor. An important factor in these findings.