Mathematical modeling on peristaltic flow of a Prandtl fluid with effects of slip conditions and inclined magnetic field
Abstract
The manuscript provides a description of a theoretical analysis of a non-Newtonian Prandtl fluid subject to peristaltic flow through an inclined asymmetric channel. We explore the effect of an inclined magnetic field on the peristaltic flow. This is relevant for applications involving fluid flow in narrow, inclined (tilted) tubes similar to blood vessels or the digestive system. The model also includes thermodynamic aspects such as heat diffusion (the Soret effect) and viscous dissipation resulting from wall-fluid slip conditions, which may help optimize medical devices such as lab-on-a-chip systems and dialysis machines. In this study, the concentration of a generic chemical, temperature, and fluid velocity are taken into account through mass, heat, and momentum balances, respectively. The solution is approximated using numerical techniques suitable for long wavelengths (low frequency) and low Reynolds numbers. The study also discusses trapping phenomena, which are crucial from a clinical point of view. The developed insights can improve the understanding of physiological flows in the gastrointestinal tract and blood vessels. By understanding how the fluid moves and how particles are trapped, these insights may contribute to the design of improved medical pumps and artificial organs. Graphical visualizations are provided for the fluid velocity profile, temperature distribution, and concentration of a generic chemical. Furthermore, the numerical results are validated through comparison with a closed-form solution from a benchmark problem.
Related
- Mathematical modeling, simulation and optimization via (port-Hamiltonian) differential-algebraic equations
- ASAS–NANP symposium: Mathematical modeling in animal nutrition: Integrating insight and uncertainty: Bayesian modeling for data-rich livestock systems
- Algebraic Theory of Inductive Mathematical Modeling: From Experimental Observations to State-Space Representations
- Mathematical FCEV System Modeling for Energy-Consumption-Oriented Optimal Design of an Ultra-High-Speed Air Compressor Motor
- A Mathematical Modeling Framework for Semantic–Temporal Graph Learning in Log Anomaly Detection
BibTeX
@misc{asghar2026mathematical,
title = {{Mathematical modeling on peristaltic flow of a Prandtl fluid with effects of slip conditions and inclined magnetic field}},
author = {Sabia Asghar and Fred J. Vermolen},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21188},
eprint = {2609.21188},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21188},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Mathematical modeling on peristaltic flow of a Prandtl fluid with effects of slip conditions and inclined magnetic field
AU - Sabia Asghar
AU - Fred J. Vermolen
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21188
UR - https://arxiv.org/abs/2609.21188
AB - The manuscript provides a description of a theoretical analysis of a non-Newtonian Prandtl fluid subject to peristaltic flow through an inclined asymmetric channel. We explore the effect of an inclined magnetic field on the peristaltic flow. This is relevant for applications involving fluid flow in narrow, inclined (tilted) tubes similar to blood vessels or the digestive system. The model also includes thermodynamic aspects such as heat diffusion (the Soret effect) and viscous dissipation resulting from wall-fluid slip conditions, which may help optimize medical devices such as lab-on-a-chip systems and dialysis machines. In this study, the concentration of a generic chemical, temperature, and fluid velocity are taken into account through mass, heat, and momentum balances, respectively. The solution is approximated using numerical techniques suitable for long wavelengths (low frequency) and low Reynolds numbers. The study also discusses trapping phenomena, which are crucial from a clinical point of view. The developed insights can improve the understanding of physiological flows in the gastrointestinal tract and blood vessels. By understanding how the fluid moves and how particles are trapped, these insights may contribute to the design of improved medical pumps and artificial organs. Graphical visualizations are provided for the fluid velocity profile, temperature distribution, and concentration of a generic chemical. Furthermore, the numerical results are validated through comparison with a closed-form solution from a benchmark problem.
ER -