https://doi.org/10.1140/epjp/s13360-023-03689-9
Regular Article
Effect of magnetic force and moderate Reynolds number on MHD Jeffrey hybrid nanofluid through peristaltic channel: application of cancer treatment
1
Department of Mathematics, College of Science, University of Bisha, P.O. Box 344, 61922, Bisha, Saudi Arabia
2
Department of Mathematics, Faculty of Science (Boys), Al-Azhar University, Nasr City, 11884, Cairo, Egypt
3
Department of Basic Sciences, October High Institute of Engineering & Technology-OHI, 2nd Neighborhood, 3rd District, 6th of October, Giza, Egypt
4
Department of Physics, College of Science, University of Bisha, P.O. Box 344, 61922, Bisha, Saudi Arabia
5
Department of Basic Engineering Sciences, Faculty of Engineering, BADR University in Cairo BUC, Cairo, Egypt
6
Department of Basic Engineering Sciences, Faculty of Engineering at Benha, Benha University, Cairo, Egypt
c essamscience@gmail.com, essamm@ub.edu.sa
Received:
21
December
2022
Accepted:
9
January
2023
Published online:
8
February
2023
Cancer is the second-leading cause of death globally. Recently, there has been a trend to treat cancer cells with directed nanoparticles, such as gold nanoparticles, because these molecules have a high atomic number, which produces heat and leads to the treatment of malignant tumors. It is important to know the flow behavior of infected human blood cells, especially in the presence of various nanoparticles. Also, during the treatment of cancerous diseases, red blood cells are attacked, causing anemia (lack of hemoglobin), so doctors resort to feeding the patient hemoglobin. So, the purpose of this work devoted to studying the effect of relaxation time parameter 
on normal, axial, and shear stresses at the blood vessels peristaltic wall, energy constitutive equation that contain Jeffrey stress tensor without any approximation in the presence of hybrid nanoparticles (gold Au and hemoglobin). During exposure to electromagnetic waves, some nanoparticles are affected inside the human body, which affects blood flow within the vessels; therefore, the effect of an induced magnetic field on blood flow was studied. The modeling of the problem depended on a set of nonlinear partial differential equations without any approximation, i.e., (in presence of relaxation time , arbitrary wavelength 
and moderate Reynolds number) in the Cartesian form which transformed to a dimensionless form. These equations are solved directly by using the Adomian decomposition method (ADM) to depict the behavior of the axial and normal stresses and velocities, the induced magnetic field, and the temperature under the variation of the significant parameters of the problem. Furthermore, the contours of the streamlines against some biomedical parameters are plotted. We get that the relaxation time parameter has obvious effects in the case of curvature wall which it improves the velocities and controlled on axial, normal, and shear stresses and temperature distribution while it has not effect in the case of non-curved wall (
).
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