<p>Peristalsis in the context of endoscopy is vital for diverse physiological processes such as examining endoscope-tissue interaction, improving targeted drug delivery among others. Present work investigates the peristaltic motion of non-Newtonian fluids in an annular conduit under the influence of electroosmotic forces and thermophoretic diffusion. Two different rheological models are employed to capture the non-Newtonian fluid dynamics: the Bingham model, which accounts for fluids exhibiting a yield stress before commencing flow, and the Carreau-Yasuda model, which represents viscosity variation with increasing shear rate. The governing equations are formulated under the lubrication approximation, incorporating the influence of electroosmotic and buoyancy forces. The resulting nonlinear differential equations are numerically solved using the shooting method implemented in computational software MATHEMATICA. A closed form exact solution, derived for a special case of Newtonian flow under negligible gravitational effects, is in perfect agreement with the corresponding numerical solution. The presence of yield stress restricts the axial motion, thereby reducing the axial velocity component and ultimately the shear stress exerted on the endoscopic wall. This diminished axial motion lowers the average kinetic energy, resulting in a decline in fluid temperature. The shear stress experienced at the endoscope also rises significantly when strength of electroosmotic force is raised. Furthermore, the particle transport rate towards the arterial wall enhances noticeably as the thermophoretic diffusion coefficient becomes larger.</p>

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Electroosmotically controlled peristaltic pumping of viscoplastic and shear-thinning fluids around an endoscope with thermophoresis

  • Hubba Umer,
  • Meraj Mustafa,
  • Sadia Hina

摘要

Peristalsis in the context of endoscopy is vital for diverse physiological processes such as examining endoscope-tissue interaction, improving targeted drug delivery among others. Present work investigates the peristaltic motion of non-Newtonian fluids in an annular conduit under the influence of electroosmotic forces and thermophoretic diffusion. Two different rheological models are employed to capture the non-Newtonian fluid dynamics: the Bingham model, which accounts for fluids exhibiting a yield stress before commencing flow, and the Carreau-Yasuda model, which represents viscosity variation with increasing shear rate. The governing equations are formulated under the lubrication approximation, incorporating the influence of electroosmotic and buoyancy forces. The resulting nonlinear differential equations are numerically solved using the shooting method implemented in computational software MATHEMATICA. A closed form exact solution, derived for a special case of Newtonian flow under negligible gravitational effects, is in perfect agreement with the corresponding numerical solution. The presence of yield stress restricts the axial motion, thereby reducing the axial velocity component and ultimately the shear stress exerted on the endoscopic wall. This diminished axial motion lowers the average kinetic energy, resulting in a decline in fluid temperature. The shear stress experienced at the endoscope also rises significantly when strength of electroosmotic force is raised. Furthermore, the particle transport rate towards the arterial wall enhances noticeably as the thermophoretic diffusion coefficient becomes larger.