Study of Non-Newtonian blood flow - heat transfer characteristics in the human coronary system with an external magnetic field

Nattawan Chuchalerm; Wannika Sawangtong; Benchawan Wiwatanapataphee; Thanongchai Siriapisith; Nattawan Chuchalerm; Wannika Sawangtong; Benchawan Wiwatanapataphee; Thanongchai Siriapisith

doi:10.3934/mbe.2022444

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 9: 9550-9570. doi: 10.3934/mbe.2022444

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Research article

Study of Non-Newtonian blood flow - heat transfer characteristics in the human coronary system with an external magnetic field

1.
Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
2.
Centre of Excellence in Mathematics, Commission on Higher Education, Bangkok 10400, Thailand
3.
School of Electrical Engineering, Computing and Mathematical Sciences, Curtin University, Perth, WA 6845, Australia
4.
Siriraj Piyamaharajkarun Hospital, Bangkok 10700, Thailand

Academic Editor: Yang Kuang

Received: 19 April 2022 Revised: 07 June 2022 Accepted: 16 June 2022 Published: 01 July 2022

This paper proposes a novel mathematical model of non-Newtonian blood flow and heat transfer in the human coronary system with an external magnetic field. As the blood viscosity is assumed to depend not only on shear rate but also on temperature and magnet strength, the modified Carreau-Yasuda viscosity model is formulated. The computational domain includes the base of the aorta, the right coronary artery, and the left coronary artery, with the left circumflex and left anterior descending arteries. The element-based finite volume method is derived for the solution of the proposed model. Numerical simulations are carried out to investigate the magnetic field effect on the blood flow-heat transfer characteristic in the human coronary system. It is found that the magnetic field has a significant impact on fluid viscosity, leading to enhanced fluid velocity.
- non-Newtonian fluid,
- pulsatile blood flow,
- heat transfer,
- magnetic field,
- finite volume method,
- Carreau-Yasuda viscosity model
Citation: Nattawan Chuchalerm, Wannika Sawangtong, Benchawan Wiwatanapataphee, Thanongchai Siriapisith. Study of Non-Newtonian blood flow - heat transfer characteristics in the human coronary system with an external magnetic field[J]. Mathematical Biosciences and Engineering, 2022, 19(9): 9550-9570. doi: 10.3934/mbe.2022444

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Abstract

This paper proposes a novel mathematical model of non-Newtonian blood flow and heat transfer in the human coronary system with an external magnetic field. As the blood viscosity is assumed to depend not only on shear rate but also on temperature and magnet strength, the modified Carreau-Yasuda viscosity model is formulated. The computational domain includes the base of the aorta, the right coronary artery, and the left coronary artery, with the left circumflex and left anterior descending arteries. The element-based finite volume method is derived for the solution of the proposed model. Numerical simulations are carried out to investigate the magnetic field effect on the blood flow-heat transfer characteristic in the human coronary system. It is found that the magnetic field has a significant impact on fluid viscosity, leading to enhanced fluid velocity.

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