Investigation of third-grade non-Newtonian blood flow in arteries under periodic body acceleration using multi-step differential transformation method

作     者：M.HATAMI S.E.GHASEMI S.A.R.SAHEBI S.MOSAYEBIDORCHEH D.D.GANJI J.HATAMI 

作者机构：Department of Mechanical Engineering Esfarayen University of Technology Young Researchers and Elite Club Islamic Azad University Deptartment of Mechanical Engineering Islamic Azad University Department of Mechanical Engineering Babol University of Technology Garmsar Health & Care Center Semnan University of Medical Sciences 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2015年第36卷第11期

页      面：1449-1458页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：pulsatile blood third-grade non-Newtonian fluid differential transforma-tion method (DTM) femoral artery coronary artery 

摘      要：In this paper, a non-Newtonian third-grade blood in coronary and femoral arteries is simulated analytically and numerically. The blood is considered as the third- grade non-Newtonian fluid under the periodic body acceleration motion and the pulsatile pressure gradient. The hybrid multi-step differential transformation method （Hybrid-Ms- DTM） and the Crank-Nicholson method （CNM） are used to solve the partial differential equation （PDE）, and a good agreement between them is observed in the results. The effects of the some physical parameters such as the amplitude, the lead angle, and the body acceleration frequency on the velocity and shear stress profiles are considered. The results show that increasing the amplitude, Ag, and reducing the lead angle of body acceleration, 9, make higher velocity profiles on the center line of both arteries. Also, the maximum wall shear stress increases when Ag increases.