Thermal radiation and Hall current effects on Williamson non-Newtonian peristaltic flow in a debris-encrusted ureteral tube: simulation of urological radiation therapy

Deepalakshmi, P; Shankar, G; Siva, E P; Tripathi, D; Bég, O Anwar

Abstract

The optimization of contemporary medical procedures necessitates the use of progressively more complex mathematical models due to their accelerated development. Peristaltic contractions occur one to five times in a minute inside the ureter which is disturbed by many physical and mechanical irritants. The carrier fluid, urine, is modelled as a non-Newtonian fluid, specifically following the Williamson model. Additionally, the renal wall is assumed to be stiff. This research presents a theoretical and computational investigation of a steady magnetohydrodynamic non-Newtonian fluid through a tube with walls that can flex exponentially. The study also takes into account radiation effects and mass transfer. Visualization of velocity, temperature, concentration, and other flow characteristics, Prandtl number (Pr), Eckert number (Ec), Schmidt number (Sc), Soret number (Sr), Hall current (m), Weissenberg number (We), Saffman suspension parameter (í µí¼) are provided via graphs and contour plots for a variety of ureteral scenarios. Appropriate scaling variables are utilized to transform the partial differential equations governing the momentum and energy conservation for both phases and the associated boundary conditions into a dimensionless system. Equations for the axial velocity, stream function, and pressure gradient are derived using a perturbation technique. Exact solutions are also presented for the temperature and concentration profiles. A comparison with previous studies is included to validate the results. This article highlights several novel aspects of the dynamics of the ureter in two-phase conditions, which are relevant to the usage of magnetic therapy and thermal radiation techniques. The analytical results indicate that the size of the trapped bolus increased, and further trapped boluses occur with rising Weissenberg number, particle volume fraction, and suspension parameter,meanwhile, this declined at elevated magnetic effect levels. The Williamson fluid's elastic nature reduces the resistance to flow and pressure buildup. The findings also demonstrate that the mean axial velocity of the fluid phase diminishes as particle concentration increases; however the contrary trend is observed due to improved convective heat transfer, which lowers the temperature surrounding the particles. Due to its consideration of heat transmission, this study will be applicable for conducting heat-dose sensitivity tests, which are necessary for the improved treatment of, Chronic Kidney Disease (CKD).

• Journal Article Type: Article
• Acceptance Date: Apr 11, 2025
• Deposit Date: Apr 11, 2025
• Print ISSN: 0228-6203
• Electronic ISSN: 1925-7082
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Keywords: Thermal radiation; Monoliths; Williamson fluid; Peristalsis; Soret thermo-diffusion; Trapping bolus; Ureteral flow; Viscous heating 2
• Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Modelling and Simulation on [date of publication], available at: https://doi.org/[Article DOI].”