Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

doi:10.1088/1674-1056/ac46bd

中国物理B ›› 2022, Vol. 31 ›› Issue (6): 64402-064402.doi: 10.1088/1674-1056/ac46bd

Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

Yun-Xian Pei(裴云仙), Xue-Lan Zhang(张雪岚), Lian-Cun Zheng(郑连存)^†, and Xin-Zi Wang(王鑫子)

School of Mathematics and Sciences, University of Science and Technology, Beijing 100083, China

收稿日期:2021-11-01 修回日期:2021-12-26 接受日期:2021-12-29 出版日期:2022-05-17 发布日期:2022-05-31
通讯作者: Lian-Cun Zheng E-mail:liancunzheng@ustb.edu.cn
基金资助:
Project supported by the National Natural Science Foundations of China (Grant No. 11772046).

Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

Yun-Xian Pei(裴云仙), Xue-Lan Zhang(张雪岚), Lian-Cun Zheng(郑连存)^†, and Xin-Zi Wang(王鑫子)

School of Mathematics and Sciences, University of Science and Technology, Beijing 100083, China

Received:2021-11-01 Revised:2021-12-26 Accepted:2021-12-29 Online:2022-05-17 Published:2022-05-31
Contact: Lian-Cun Zheng E-mail:liancunzheng@ustb.edu.cn
Supported by:
Project supported by the National Natural Science Foundations of China (Grant No. 11772046).

摘要/Abstract

摘要： We study the coupled flow and heat transfer of power-law nanofluids on a non-isothermal rough rotating disk subjected to a magnetic field. The problem is formulated in terms of specified curvilinear orthogonal coordinate system. An improved BVP4C algorithm is proposed, and numerical solutions are obtained. The influence of volume fraction, types and shapes of nanoparticles, magnetic field and power-law index on the flow, and heat transfer behavior are discussed. The obtained results show that the power-law exponents (PLE), nanoparticle volume fraction (NVF), and magnetic field inclination angle (MFIA) have almost no effects on velocities in the wave surface direction, but have small or significant effects on the azimuth direction. The NVF has remarkable influences on local Nusselt number (LNN) and friction coefficients (FC) in the radial direction and the azimuth direction (AD). The LNN increases with NVF increasing while FC in AD decreases. The types of nanoparticles, magnetic field strength, and inclination have small effects on LNN, but they have remarkable influences on the friction coefficients with positively correlated heat transfer rate, while the inclination is negatively correlated with heat transfer rate. The size of the nanoparticle shape factor is positively correlated with LNN.

关键词: power-law nanofluids, magnetic field, improved BVP4C algorithm, rough rotating disk

Abstract: We study the coupled flow and heat transfer of power-law nanofluids on a non-isothermal rough rotating disk subjected to a magnetic field. The problem is formulated in terms of specified curvilinear orthogonal coordinate system. An improved BVP4C algorithm is proposed, and numerical solutions are obtained. The influence of volume fraction, types and shapes of nanoparticles, magnetic field and power-law index on the flow, and heat transfer behavior are discussed. The obtained results show that the power-law exponents (PLE), nanoparticle volume fraction (NVF), and magnetic field inclination angle (MFIA) have almost no effects on velocities in the wave surface direction, but have small or significant effects on the azimuth direction. The NVF has remarkable influences on local Nusselt number (LNN) and friction coefficients (FC) in the radial direction and the azimuth direction (AD). The LNN increases with NVF increasing while FC in AD decreases. The types of nanoparticles, magnetic field strength, and inclination have small effects on LNN, but they have remarkable influences on the friction coefficients with positively correlated heat transfer rate, while the inclination is negatively correlated with heat transfer rate. The size of the nanoparticle shape factor is positively correlated with LNN.

Key words: power-law nanofluids, magnetic field, improved BVP4C algorithm, rough rotating disk

中图分类号: (Non-Newtonian fluid flows)

47.50.-d

02.60.Cb (Numerical simulation; solution of equations) 68.35.Ct (Interface structure and roughness) 07.55.Db (Generation of magnetic fields; magnets)

Yun-Xian Pei(裴云仙), Xue-Lan Zhang(张雪岚), Lian-Cun Zheng(郑连存), and Xin-Zi Wang(王鑫子). Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field[J]. 中国物理B, 2022, 31(6): 64402-064402.

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Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

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