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1. Introduction
The administration of drugs to a patient and the monitoring of their movement is a problem that falls within the scope of fluid mechanics. Solving equations in a blood vessel comes down to solving equations of motion in canals. A biomagnetic fluid (Sharma and Yadav, 2019) is a fluid found in living organisms that reacts when placed under the influence of a magnetic field. Magnetic particles can have their dynamics controlled in a pipe placed under the influence of a magnetic field. The transport and tracking of particles to desired locations is not only a problem related to fluid mechanics, but it is related to a set of biomedical sciences because the resolution of the Navier–Stokes equations within a blood vessel is generally based on the determination of the velocity profile, the calculation of flow rates, the calculation of stress at the walls and even the comparison of the velocity profiles. Therefore, drug administration is a fluid mechanics problem.
Drug administration has shown its importance in several applications such as destruction of cancer cells (Pai et al., 1996), administration of stem cells (Pourmehran et al., 2016), treatment of arterial diseases, magnetic targeting medication and control of blood flow during surgical operations (Russo et al., 2018).
Recently, it has been shown that magnetic particles can be used to solve some problems associated with drug delivery. Magnetic nanoparticles are vehicles for transporting and delivering drugs to target locations because they can encapsulate a very large amount of therapeutic molecules (Figure 1). Blood is a biomagnetic fluid that is made up of plasma, red blood cells, white blood cells and platelets (Srinivas et al., 2018). The red blood cells found there in the blood are usually made up of hemoglobin, the main component of which is iron (Abu-Hamdeh et al., 2020). The presence of iron allows blood to be magnetized in the presence of a magnetic field. However, it is very important to know that beyond a certain magnitude of the magnetic field, the human body can be exposed to risks. It is very important for a therapist to master the magnetic field that can support the human body.
Red blood cells are generally only 4% iron which in some cases...