Mathematical Modelling for Peristaltic Flow of Sutterby Fluid Through Tube under the Effect of Endoscope

Abstract

In this work, the mathematical modelling of peristaltic transport for incompressible Sutterby fluid through the cavity between coaxial tubes where the inner tube is fixed and the outer tube has sinusoidal rhythmic fluctuations along the channel’s walls is presented. Under the assumption of long wavelength and the low Reynolds number, the governing equations (motion, temperature, and concentration) are illustrated in cylindrical coordinates. The analytical solution for the temperature and concentration of the fluid flow is obtained using Mathematica 11.3, whereas the perturbation technique is employed to find the closed form of the velocity profile. The variation of the axial velocity, stream function, temperature, concentration, and heat transfer are graphically discussed under the impact of interesting involved parameters.

The Influence of the Magnetic Domain on The Peristaltic Motion of The Non-Newtonian Fluid in A Curved Tube

“…Recent interest in the peristalsis phenomenon can be attributed to engineering and medical uses. Embryonic development, the transport of oocytes and embryos, and the pulsation of blood arteries are all examples of peristaltic flow in living systems [1,2,3,4,5,6,7,8,9,10,11,12,13]. One advantageous component in engineering applications is turbo machines and aircraft wings.…”

Comprehensive Perturbation Approach to Nonlinear Viscous Gravity–Capillary Surface Waves at Arbitrary Wavelengths in Finite Depth

“…In order to achieve this objective, we employ a perturbative approach to solve the Navier-Stokes equations for the surface-wave problem up to the second order, where the wave amplitude is considered to be a small parameter. This method allows for the systematic study of nonlinearity in various fluid phenomena [36][37][38][39][40][41][42][43]. At this stage, the calculation is still completely general; in particular, all the modes are included.…”