Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

doi:10.1088/1674-1056/ad09c9

中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20204-020204.doi: 10.1088/1674-1056/ad09c9

Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

U. S. Mahabaleshwar¹, G. P. Vanitha¹, L. M. Pérez², Emad H. Aly^3,†, and I. Pop⁴

1 Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, India;
2 Departamento de Física, FACI, Universidad de Tarapacá, Casilla 7D, Arica, Chile;
3 Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt;
4 Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

收稿日期:2023-07-10 修回日期:2023-10-24 接受日期:2023-11-06 出版日期:2024-01-16 发布日期:2024-01-25
通讯作者: Emad H. Aly E-mail:emad-aly@hotmail.com
基金资助:
LMP acknowledges financial support from ANID through Convocatoria Nacional Subvención a Instalación en la Academia Convocatoria Año 2021, Grant SA77210040.

Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

U. S. Mahabaleshwar¹, G. P. Vanitha¹, L. M. Pérez², Emad H. Aly^3,†, and I. Pop⁴

1 Department of Studies in Mathematics, Davangere University, Shivagangothri, Davangere, India;
2 Departamento de Física, FACI, Universidad de Tarapacá, Casilla 7D, Arica, Chile;
3 Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt;
4 Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

Received:2023-07-10 Revised:2023-10-24 Accepted:2023-11-06 Online:2024-01-16 Published:2024-01-25
Contact: Emad H. Aly E-mail:emad-aly@hotmail.com
Supported by:
LMP acknowledges financial support from ANID through Convocatoria Nacional Subvención a Instalación en la Academia Convocatoria Año 2021, Grant SA77210040.

摘要/Abstract

摘要： We report on the magnetohydrodynamic impact on the axisymmetric flow of Al₂O₃/Cu nanoparticles suspended in H₂O past a stretched/shrinked sheet. With the use of partial differential equations and the corresponding thermophysical characteristics of nanoparticles, the physical flow process is illustrated. The resultant nonlinear system of partial differential equations is converted into a system of ordinary differential equations using the suitable similarity transformations. The transformed differential equations are solved analytically. Impacts of the magnetic parameter, solid volume fraction and stretching/shrinking parameter on momentum and temperature distribution have been analyzed and interpreted graphically. The skin friction and Nusselt number were also evaluated. In addition, existence of dual solution was deduced for the shrinking sheet and unique solution for the stretching one. Further, Al₂O₃/H₂O nanofluid flow has better thermal conductivity on comparing with Cu/H₂O nanofluid. Furthermore, it was found that the first solutions of the stream are stable and physically realizable, whereas those of the second ones are unstable.

关键词: magnetohydrodynamic, nanofluid, stretching/shrinking sheet, axisymmetric flow, analytical solution, suction/injection

Abstract: We report on the magnetohydrodynamic impact on the axisymmetric flow of Al₂O₃/Cu nanoparticles suspended in H₂O past a stretched/shrinked sheet. With the use of partial differential equations and the corresponding thermophysical characteristics of nanoparticles, the physical flow process is illustrated. The resultant nonlinear system of partial differential equations is converted into a system of ordinary differential equations using the suitable similarity transformations. The transformed differential equations are solved analytically. Impacts of the magnetic parameter, solid volume fraction and stretching/shrinking parameter on momentum and temperature distribution have been analyzed and interpreted graphically. The skin friction and Nusselt number were also evaluated. In addition, existence of dual solution was deduced for the shrinking sheet and unique solution for the stretching one. Further, Al₂O₃/H₂O nanofluid flow has better thermal conductivity on comparing with Cu/H₂O nanofluid. Furthermore, it was found that the first solutions of the stream are stable and physically realizable, whereas those of the second ones are unstable.

Key words: magnetohydrodynamic, nanofluid, stretching/shrinking sheet, axisymmetric flow, analytical solution, suction/injection

中图分类号: (Partial differential equations)

02.30.Jr

02.30.Hq (Ordinary differential equations) 44.25.+f (Natural convection) 44.10.+i (Heat conduction)

U. S. Mahabaleshwar, G. P. Vanitha, L. M. Pérez, Emad H. Aly, and I. Pop. Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet[J]. 中国物理B, 2024, 33(2): 20204-020204.

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Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

Exact solutions for magnetohydrodynamic nanofluids flow and heat transfer over a permeable axisymmetric radially stretching/shrinking sheet

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