Title: Effect of heat transfer on swallowing through herniated oesophagus with dilating peristaltic wave amplitude

Authors: Amirlal Singh; Shailendra Kumar Tiwari; Kirti Kumar Jaiswal

Addresses: Department of Mathematics, MMMPG College, Deoria (UP), India ' Department of Computer Science, RSMTUP College, Varanasi (UP), India ' Department of Mathematics, MMMPG College, Deoria (UP), India

Abstract: The present study investigates the heat transfer effect on swallowing through herniated oesophagus. Due to the sliding hiatus hernia oesophagus, it gets diverged and then converged at the distal end. The wave propagating along the wall of the tube is sinusoidal with exponentially increasing wave amplitude. The pressure distribution within the oesophagus is computed numerically using a C++ program. The impact of the Grashof number and the heat source/sink parameter on pressure and wall shear stress have been discussed and physically interpreted. It is observed when either of the parameters increases the pressure along the oesophageal axis decreases. The pressure requirement to transport fluid in converging region is more unlike to diverging region. One more interesting result is that pressure is affected in proximal region also, although tube divergence and convergence occur near the distal end. These findings are significant to understand the physiological flow in the oesophagus under pathological conditions.

Keywords: oesophagus; sliding hiatus hernia; peristalsis; dilating wave amplitude; Grashof number; heat transfer.

DOI: 10.1504/IJANS.2025.151202

International Journal of Applied Nonlinear Science, 2025 Vol.5 No.2, pp.163 - 179

Received: 26 Aug 2024
Accepted: 06 Nov 2024
Published online: 19 Jan 2026 *

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