Mathematical modeling study reveals altered pressure gradients and flow velocities during esophageal peristalsis with hiatus hernia, highlighting mechanical disruptions during swallowing.
The investigation was conducted on the peristaltic transport of Newtonian fluid via a curved tube. The entire research has been focused beneath long wavelength and low Reynolds number approximations. This type of research explains the phenomenon of food bolus swallowing through a hiatus hernia-affected oesophagus. The axial and radial velocities, reflux limit expressions, and pressure have been calculated using Mathematica. The pressure differences are found to grow with wave curvature and amplitude but decrease with inclination angle, wall thickness change, and distance from the central line. The effect of curvature on pressure difference and the relationship between pressure and average flow rate have also been obtained. This new mathematical study will certainly provide some new insights into the analysis of the hiatus hernia affected oesophagus.
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Tiwari et al. (2026) studied this question.
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