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<p>Peristaltic flow is a fundamental transport mechanism in many physiological and biomedical systems, where fluid motion is generated by wave-like contractions propagating along flexible boundaries. In the presence of longitudinal wall motion, peristaltic transport contributes to a crucial role in regulating the movement and mixing of chyme within the gastrointestinal tract, where the underlying biomechanical processes are governed by complex fluid–structure interactions. The present article studies a mathematical model of MHD peristaltic flow and heat and mass transfer characteristics of a Jeffrey couple-stress nanofluid in an asymmetric porous channel, with the aim of understanding the physiological behavior of chyme transport. The temperature and concentration-dependent viscosity is incorporated along with different wave patterns and wavelength to generate longitudinal wall motion to make the model more realistic. The long wavelength and low Reynolds number approximations are used to simplify the two-dimensional momentum, heat, and mass transfer equations and are solved semi-analytically using the generalized differential transform method (GDTM). Analytical solutions of the governing flow equations are derived to compute the hydrodynamic flow resistance, thereby providing insight into the underlying flow behavior. The main aim of this study is to analyze hydrodynamic and thermal resistance, quantified through entropy generation and the Bejan number, as these play a vital role in determining chyme transport characteristics and temperature gradients while diminishing irreversibility. The influence of rheological parameters and waveforms on bolus trapping is also investigated in detail, as they are critical for effective chyme mixing and propulsion. It is observed that the longitudinal contraction and relaxation of the muscular wall regulate chyme trapping and lead to an increase in domain entropy. In addition, an increase in the temperature-dependent parameter leads to a reduction in the entropy generation number, accompanied by an increase in bolus size near the upper wall of the channel and a corresponding decrease in bolus size near the lower wall. This study provides a theoretical framework for analyzing resistance and trapping boluses in peristaltic transport and contributes to improved understanding of physiological processes and potential therapeutic strategies for gastrointestinal disorders.</p>

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Effects of Longitudinal wavy wall Motion and Variable Viscosity on the Peristaltic flow of a Jeffrey Nanofluid: A Biomechanical Model for Chyme Transport

  • 期刊论文

  • 发表日期：

    2026年3月26日

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  • Sanu Adhikary,
  • Bharat Soni,
  • Ameeya Kumar Nayak

摘要

Peristaltic flow is a fundamental transport mechanism in many physiological and biomedical systems, where fluid motion is generated by wave-like contractions propagating along flexible boundaries. In the presence of longitudinal wall motion, peristaltic transport contributes to a crucial role in regulating the movement and mixing of chyme within the gastrointestinal tract, where the underlying biomechanical processes are governed by complex fluid–structure interactions. The present article studies a mathematical model of MHD peristaltic flow and heat and mass transfer characteristics of a Jeffrey couple-stress nanofluid in an asymmetric porous channel, with the aim of understanding the physiological behavior of chyme transport. The temperature and concentration-dependent viscosity is incorporated along with different wave patterns and wavelength to generate longitudinal wall motion to make the model more realistic. The long wavelength and low Reynolds number approximations are used to simplify the two-dimensional momentum, heat, and mass transfer equations and are solved semi-analytically using the generalized differential transform method (GDTM). Analytical solutions of the governing flow equations are derived to compute the hydrodynamic flow resistance, thereby providing insight into the underlying flow behavior. The main aim of this study is to analyze hydrodynamic and thermal resistance, quantified through entropy generation and the Bejan number, as these play a vital role in determining chyme transport characteristics and temperature gradients while diminishing irreversibility. The influence of rheological parameters and waveforms on bolus trapping is also investigated in detail, as they are critical for effective chyme mixing and propulsion. It is observed that the longitudinal contraction and relaxation of the muscular wall regulate chyme trapping and lead to an increase in domain entropy. In addition, an increase in the temperature-dependent parameter leads to a reduction in the entropy generation number, accompanied by an increase in bolus size near the upper wall of the channel and a corresponding decrease in bolus size near the lower wall. This study provides a theoretical framework for analyzing resistance and trapping boluses in peristaltic transport and contributes to improved understanding of physiological processes and potential therapeutic strategies for gastrointestinal disorders.