Abstract
Steady flow of a couple-stress fluid in constricted tapered artery has been studied under the effects of transverse magnetic field, moving catheter, and slip velocity. With the help of Bessel’s functions, analytic expressions for axial velocity, flow rate, impedance, and wall shear stress have been obtained. It is of interest to note that these solutions can be used for different types of fluid flow in tubes and not only the case of blood. The effects of various geometric parameters, the parameters arising out of the fluid considered and the magnetic field, are discussed by considering the slip velocity, the catheter velocity, and tapering angle. The study of the above model is very important as it has direct applications in the treatment of cardiovascular diseases.
Highlights
Catheters are semirigid, thin tubes made from medical grade materials serving a broad range of functions and can be inserted in the body to detect and identify diseases or perform a surgical procedure inside the heart, brain, arms, legs, or lungs [1]
A mathematical model has been built to discuss the flow of blood through a catheterized asymmetric tapered stenosed artery with slip velocity at the stenosed wall and a moving catheter
In view of what is mentioned above, an analytic approach was followed to solve the mathematical model of blood flow through stenosed tapered artery under the assumption of mild stenosis
Summary
Thin tubes made from medical grade materials serving a broad range of functions and can be inserted in the body to detect and identify diseases or perform a surgical procedure inside the heart, brain, arms, legs, or lungs [1]. Most hospitals use X-ray machine, mounted above the couch to check the catheter’s progress. Low-dose X-rays are used to monitor the progress of the catheter tip. If we want to navigate the catheter’s passage in real time, some ten to twenty X-ray images are made every second. Even though the radiation dose involved is very low, no radiation at all is much healthier for both the patient and the medical staff who run the risk of being exposed to the radiation on daily basis. Researchers developed a magnetic navigation system for medical instruments such as catheters and guide wires. The catheters with magnetic tips are steered within the patient, without the need for an electrophysiologist to maneuver the catheter or guide wire placement manually. A magnetic sensor on the tip of the medical instrument measures an external magnetic field and reports exactly where the tip of the instrument is located [2]
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