article · Ain Shams Engineering Journal
This research investigates the peristaltic movement of a Reiner-Rivlin fluid through narrowed, tapered vessels with slip boundary conditions. The model integrates the Cattaneo-Christov heat transfer formulation alongside chemical reactions, concentration changes, Hall currents, Joule heating, and Darcy-Forchheimer porous characteristics. By using the Homotopy perturbation procedure, complex partial differential equations were converted into more manageable ordinary differential equations. The results demonstrate that fluid velocity diminishes when the Hartmann number increases, whereas a higher Forchheimer factor causes the velocity to rise. Additionally, extending the thermal relaxation time produces a decreasing effect on the temperature distribution. These fluid dynamics behaviours correspond to physiological transport processes, such as the passage of blood through constricted arteries or urine flow through the ureter.
Understanding how bodily fluids navigate narrowed or diseased passages is critical for evaluating physiological health. By mathematically simulating the effects of magnetic properties, porous medium factors, and heat exchange, this work provides basic theoretical insights into biological flow mechanics, such as blood circulation through constricted arteries and urine movement from the kidney to the bladder.
This work represents early-stage theoretical modelling and does not feature an applied or validated device. The findings could eventually inform biomedical engineers and researchers developing physiological models or medical therapies for arterial disease and urinary conditions. However, the abstract indicates no direct product or commercialisation pathway, placing real-world medical use at a substantial distance without practical and clinical testing.
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The primary focus of this research article centers on the investigation of peristaltic transport via stenosed tapered vessels in a fluid governed by the Reiner-Rivlin liquid model. The Cattaneo-Christov temperature model, concentration, The influences of Hall current, Joule heating, Darcy-Forchheimer feature and chemical reaction are deemed. A slip condition governing the velocity distribution is also considered. By employing the Homotopy perturbation procedure, the research simplifies complex partial differential equations into more manageable ordinary differential ones. It is revealed that the pivotal speed dwindles by the rise of the Hartmann number. Also, elevating the Forchheimer factor enhances the velocity. Also, it is detected that the rise in thermal relaxation time produces a decaying influence on the temperature profile. The significance of the problem lies in its diversified medical implementations, including, the flowing of blood influx inside the arteries or urine from kidney to bladder across the ureter.
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DOI: 10.1016/j.asej.2024.102679
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