Abstract
In this study, we examined the biomagnetic flow and heat transfer of an incompressible electrically conductive fluid (blood) containing gold nanoparticles over a stretching sheet in the presence of a magnetic dipole. In this problem, both principles of magnetohydrodynamics (MHD) and ferrohydrodynamics (FHD) were adopted. Biot number and slip and suction parameters were taken into consideration. The nonlinear partial differential equations were transformed into ordinary differential equations by implementing similarity transformations. The numerical solution was attained by utilizing the bvp4c function technique in MATLAB R2018b software. The influence of pertinent parameters involved in this model, such as ferromagnetic parameter, magnetic field parameter, Grashof number, Eckert number, suction parameter, Biot number, slip parameter and Prandtl number, on the dimensionless velocity, temperature, skin friction and heat transfer rate were analyzed numerically and are represented graphically. Among the numerous results, it was observed that increment in ferromagnetic parameter and Prandtl number results in decrement of the velocity and temperature, respectively. For some values of the parameters, a comparison with the results of other documents in the literature is also made.
Highlights
Biomagnetic fluid is biological fluid that exists in living creatures under the influence of a magnetic field
Magnetic particles are used for the magnetic resonance imaging (MRI) of specific ingredients of the human frame or cancer treatment [1,2,3]
When assigning values to the numerous parameters for the problem under consideration, we adopted values published in previous studies as follows: Prandtl number
Summary
Biomagnetic fluid is biological fluid that exists in living creatures under the influence of a magnetic field. Blood is one of the most common examples of a biomagnetic fluid. During the last few decades, studies on biomagnetic fluid have received more attention from researchers, due to its important applications in bioengineering and medical sciences, such as in magnetic device development for cell separation, reducing bleeding during surgeries and the targeted transport of drugs. Magnetic particles are used for the magnetic resonance imaging (MRI) of specific ingredients of the human frame or cancer treatment [1,2,3]. Gold nanoparticles are the most important light-shedding material. The study of gold nanoparticles has gained serious attention from researchers due to gold nanoparticles’ structure, shape, low toxicity and excellent compatibility with the human body
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