Caputo-fabrizio fractional derivative for magnetic blood flow of Newtonian and casson fluid in an inclined artery

• المؤلف الرئيسي: Jamil, Dzuliana Fatin
• التنسيق: أطروحة
• اللغة: الإنجليزية; الإنجليزية; الإنجليزية
• منشور في: 2022
• الموضوعات: T Technology (General)
• الوصول للمادة أونلاين: http://eprints.uthm.edu.my/11011/

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