Viscous flow between two sinusoidally deforming curved concentric tubes: advances in endoscopy

Abstract

Viscous flow between two sinusoidally deforming curved concentric tubes is mathematically investigated for the first time. Exact solutions are computed to analyse the flow between these two tubes and graphical outcomes are included for a thorough analysis of the solutions. The present article has prime applications in endoscopy as a novel peristaltic endoscope is introduced first time for a curved sinusoidal tube. This curved nature of outer sinusoidal tube with a flexible peristaltic endoscope placed inside it covers the topic of practical applications like endoscopy of human organs having curved shapes and the maintenance of complex machineries that involve complex curve structures. The usage of a flexible peristaltic endoscope inside a curved sinusoidal tube makes the process of catheterization more comfortable.

Entropy analysis for a novel peristaltic flow in a curved heated endoscope: an application of applied sciences

“…The inner wall of this peristaltic endoscope is sinusoidally deforming and the outer wall of this tube having this endoscope is also sinusoidally deforming wall. This is extension work of the study provided in 24 with heat transfer and thorough entropy interpretation. The equations that interpret this problem are evaluated with the help of Mathematica software and we have availed exact solutions for temperature, entropy, velocity and pressure gradient etc.…”

“…The sinusoidally fluctuating external wall of the curved tube as well as the internal sinusoidally fluctuating wall of the novel peristaltic endoscope is mathematically considered by following equations given as 15 – 17 , 24 where has a range between 0 and 1.…”

Study of Non-Newtonian biomagnetic blood flow in a stenosed bifurcated artery having elastic walls

“…They observed that stress formation in a curve for non-Newtonian parameter is higher than that of viscus case. The mathematical model of viscus fluid flow between a concentric curved tubes is studied by McCash et al 12 Their study mainly related to application in endoscopy. The outcome shows that catheterization can be made more flexible by using a flexible peristaltic endoscope inside a curved sinusoidal tube 13 .…”

The analogy of nanoparticle shapes on the theory of convective heat transfer of Au–Fe3O4 Casson hybrid nanofluid

“…[18][19][20] Further analysis of heat transfer has been performed by various researchers by using nanofluids. [21][22][23][24] Not just the physical properties of nanoparticles affect the heat transfer performance of a fluid, the physical appearance of nanoparticles also contributes to both flow characteristics and heat transfer performance of a fluid containing nanoparticles. This was experimentally demonstrated by Timofeeva et al 25 and Xie et al 26 for fluids containing Al 2 O 3 nanoparticles of various shapes.…”

“…In contrast, the nanoparticle framework provides more stability and subsequently refines the biomolecule's physical properties compared with its native state 18–20 . Further analysis of heat transfer has been performed by various researchers by using nanofluids 21–24 …”