Caputo-fabrizio fractional derivative for magnetic blood flow of Newtonian and casson fluid in an inclined artery
The use of mathematical models to investigate blood flow activity has become an invaluable method for studying and understanding the circulatory system. In light of many clinical conditions, the blood flow issue of an inclined artery is significant from a physiological perspective. The current st...
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| Format: | Thesis |
| Language: | English English English |
| Published: |
2022
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/11011/1/24p%20DZULIANA%20FATIN%20JAMIL.pdf http://eprints.uthm.edu.my/11011/2/DZULIANA%20FATIN%20JAMIL%20COPYRIGHT%20DECLARATION.pdf http://eprints.uthm.edu.my/11011/3/DZULIANA%20FATIN%20JAMIL%20WATERMARK.pdf |
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| Summary: | The use of mathematical models to investigate blood flow activity has become an
invaluable method for studying and understanding the circulatory system. In light of
many clinical conditions, the blood flow issue of an inclined artery is significant from
a physiological perspective. The current study analyzes blood flow with magnetic
particles through inclined stenosed and multi-stenosed arteries, where impact of blood
flow by Newtonian and Casson fluids was considered. The flow was driven by
an oscillating pressure gradient and subjected to an external inclined magnetic field
for all models. The Caputo–Fabrizio time fractional-order model without singular
kernel was used to solve the nonlinear governing equations. The Laplace and finite
Hankel transforms, as well as the Robotnov and Hartley’s functions, were applied to
obtain analytical solutions. Moreover, Mathcad software was utilized to construct
blood velocity, temperature profiles, and magnetic particle velocity from different
physiological parameters on blood flow through an inclined artery. The effects of
various important factors, including body acceleration, thermal radiation, porosity
and electric field on the transportation of magnetic particles flow of blood have been
analyzed. The current findings were compared to those mentioned in previous studies,
demonstrating that they are in good agreement. Numerical findings reveal that the
fractional parameter order and inclination angle affect blood and magnetic particle
distributions. Some significant findings show that the fractional- order derivative,
electric field, porosity, Reynolds number, and Casson fluid parameter can enhance
blood and magnetic velocities. Both fluid flow velocities have similar trends in
fractional parameters; however, Casson fluid is slower than Newtonian fluid. Radiation
and metabolic heat both play an essential role in controlling blood temperature. The
temperature of the blood flow increases as the radiation and metabolic heat source
values increase. Meanwhile, the Hartmann number and porosity decelerate the blood
flow and magnetic particle velocity. These findings facilitate the clinical research of a
variety of arterial diseases |
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