<p>This study investigates the peristaltic transport of Herschel–Bulkley fluids through a porous, uniform cylindrical tube under the influence of wall slip and variable wall porosity. Such fluid behavior is particularly relevant in biomedical and industrial applications, where the non-Newtonian nature of fluids—like blood and mucus—plays a vital role in transport mechanisms. The governing equations are derived under the assumptions of long wavelength and low Reynolds number, with appropriate boundary conditions including a non-zero slip velocity and porous wall interactions. Analytical expressions for velocity, stream function, pressure gradient, volumetric flow rate, and axial frictional force are obtained. The analysis explores the effects of key physical parameters such as the Darcy number (Da), slip parameter (α), porous wall thickness (ϵ), and power-law index (n) on flow behavior. The results reveal that increased wall permeability (higher Da) and wall slip significantly reduce pressure drop and enhance volumetric flux, while higher yield stress and power-law indices increase flow resistance. The novelty of this work lies in integrating wall slip and porous structure effects with Herschel–Bulkley fluid characteristics in a peristaltic setup—an area that has been limited in existing literature. These insights contribute to the design of efficient peristaltic pumps and biomedical flow devices, especially where fluid rheology and wall interactions critically affect performance.</p>

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Dynamics of Herschel-Bulkley fluids in porous media: a peristaltic transport analysis

  • Revanasidda Metri,
  • G. C. Sankad,
  • Umesh Bhujakkanavar,
  • Bathula Nagaraju,
  • Murali Gundagani

摘要

This study investigates the peristaltic transport of Herschel–Bulkley fluids through a porous, uniform cylindrical tube under the influence of wall slip and variable wall porosity. Such fluid behavior is particularly relevant in biomedical and industrial applications, where the non-Newtonian nature of fluids—like blood and mucus—plays a vital role in transport mechanisms. The governing equations are derived under the assumptions of long wavelength and low Reynolds number, with appropriate boundary conditions including a non-zero slip velocity and porous wall interactions. Analytical expressions for velocity, stream function, pressure gradient, volumetric flow rate, and axial frictional force are obtained. The analysis explores the effects of key physical parameters such as the Darcy number (Da), slip parameter (α), porous wall thickness (ϵ), and power-law index (n) on flow behavior. The results reveal that increased wall permeability (higher Da) and wall slip significantly reduce pressure drop and enhance volumetric flux, while higher yield stress and power-law indices increase flow resistance. The novelty of this work lies in integrating wall slip and porous structure effects with Herschel–Bulkley fluid characteristics in a peristaltic setup—an area that has been limited in existing literature. These insights contribute to the design of efficient peristaltic pumps and biomedical flow devices, especially where fluid rheology and wall interactions critically affect performance.