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

doi:10.1007/s10483-015-1995-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (11): 1449-1458.doi: https://doi.org/10.1007/s10483-015-1995-7

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

M. HATAMI¹, S. E. GHASEMI², S. A. R. SAHEBI³, S. MOSAYEBIDORCHEH⁴, D. D. GANJI⁴, J. HATAMI⁵

1. Department of Mechanical Engineering, Esfarayen University of Technology, North Khorasan 49137, Iran;
2. Young Researchers and Elite Club, Islamic Azad University, Qaemshahr 47649, Iran;
3. Deptartment of Mechanical Engineering, Islamic Azad University, Sari Mazandaran 47416, Iran;
4. Department of Mechanical Engineering, Babol University of Technology, Babol 47148, Iran;
5. Garmsar Health & Care Center, Semnan University of Medical Sciences, Semnan 35131, Iran

收稿日期:2014-09-25 修回日期:2015-06-03 出版日期:2015-11-01 发布日期:2015-11-01
通讯作者: J. HATAMI E-mail:javad.hatamy@gmail.com

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

M. HATAMI¹, S. E. GHASEMI², S. A. R. SAHEBI³, S. MOSAYEBIDORCHEH⁴, D. D. GANJI⁴, J. HATAMI⁵

1. Department of Mechanical Engineering, Esfarayen University of Technology, North Khorasan 49137, Iran;
2. Young Researchers and Elite Club, Islamic Azad University, Qaemshahr 47649, Iran;
3. Deptartment of Mechanical Engineering, Islamic Azad University, Sari Mazandaran 47416, Iran;
4. Department of Mechanical Engineering, Babol University of Technology, Babol 47148, Iran;
5. Garmsar Health & Care Center, Semnan University of Medical Sciences, Semnan 35131, Iran

Received:2014-09-25 Revised:2015-06-03 Online:2015-11-01 Published:2015-11-01
Contact: J. HATAMI E-mail:javad.hatamy@gmail.com

摘要/Abstract

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 thirdgrade non-Newtonian fluid under the periodic body acceleration motion and the pulsatile pressure gradient. The hybrid multi-step differential transformation method (Hybrid-MsDTM) 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, A_g, and reducing the lead angle of body acceleration, φ, make higher velocity profiles on the center line of both arteries. Also, the maximum wall shear stress increases when A_g increases.

关键词: third-grade non-Newtonian fluid, femoral artery, differential transformation method (DTM), coronary artery, pulsatile blood

Abstract:

Key words: third-grade non-Newtonian fluid, femoral artery, differential transformation method (DTM), pulsatile blood, coronary artery

中图分类号:

M. HATAMI, S. E. GHASEMI, S. A. R. SAHEBI, S. MOSAYEBIDORCHEH, D. D. GANJI, J. HATAMI. Investigation of third-grade non-Newtonian blood flow in arteries under periodic body acceleration using multi-step differential transformation method[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1449-1458.

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

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

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