Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region: A Caputo Fabrizio Fractional Model  

作　　者：Anees Imitaz Aamina Aamina Farhad Ali Ilyas Khan Kottakkaran Sooppy Nisar 

机构地区：[1]Department of Mathematics,City University of Science and Information Technology,Peshawar,25000,Pakistan [2]Computational Analysis Research Group,Ton Duc Thang University,Ho Chi Minh City,Vietnam [3]Faculty of Mathematics and Statistics,Ton Duc Thang University,Ho Chi Minh City,Vietnam [4]Department of Mathematics,College of Science Al-Zulfi,Majmaah University,Al-Majmaah,11952,Saudi Arabia [5]Department of Mathematics,College of Arts and Sciences,Prince Sattam bin Abdulaziz University,Wadi Aldawaser,11991,Saudi Arabia

出　　处：《Computers, Materials & Continua》2021年第3期2253-2264,共12页计算机、材料和连续体（英文）

摘　　要：The present study is focused on the unsteady two-phase flow of blood in a cylindrical region.Blood is taken as a counter-example of Brinkman type fluid containing magnetic(dust)particles.The oscillating pressure gradient has been considered because for blood flow it is necessary to investigate in the form of a diastolic and systolic pressure.The transverse magnetic field has been applied externally to the cylindrical tube to study its impact on both fluids as well as particles.The system of derived governing equations based on Navier Stoke’s,Maxwell and heat equations has been generalized using the well-known Caputo–Fabrizio(C–F)fractional derivative.The considered fractional model has been solved analytically using the joint Laplace and Hankel(L&H)transformations.The effect of various physical parameters such as fractional parameter,Gr,M and
γ on blood and magnetic particles has been shown graphically using the Mathcad software.The fluid behaviour is thinner in fractional order as compared to the classical one.

关 键 词：Two-phase blood flow dusty fluid Brinkman type model magnetic dusty particles heat transfer C-F derivative 

分 类 号：O17[理学—数学]