Magnetohydrodynamic Effects in Mixed Convection Copper-Water Nano Fluid Flow at Lower Stagnation Point on a Sliced Sphere

Basuki Widodo; Adhi Surya Nugraha; Dieky Adzkiya; Mohd Zuki Salleh

doi:10.37934/cfdl.13.12.2131

Authors

Basuki Widodo Department of Mathematics, Faculty of Sciences and Data Analytics, Institut Teknologi Sepuluh Nopember, Kampus ITS Keputih Sukolilo, 60111, Surabaya, Indonesia
Adhi Surya Nugraha Department of Mathematics Education, Faculty of Teacher Training and Education, Univesity of Sanata Dharma, Jalan Affandi, Mrican, Caturtunggal, Depok Sleman, 55281, Yogyakarta, Indonesia
Dieky Adzkiya Department of Mathematics, Faculty of Sciences and Data Analytics, Institut Teknologi Sepuluh Nopember, Kampus ITS Keputih Sukolilo, 60111, Surabaya, Indonesia
Mohd Zuki Salleh Center for Mathematical Sciences, Universiti Malaysia Pahang 26300 Gambang, Kuantan, Pahang, Malaysia

DOI:

https://doi.org/10.37934/cfdl.13.12.2131

Keywords:

Magnetohydrodynamic, magnetic sliced sphere, mix convection, viscous fluid, Keller-Box scheme

Abstract

The study of simulation and applications of mathematics in fluid dynamics continues to grow along with the development of computer science and technology. One of them is Magnetohydrodynamics (MHD) which is closely related to its implementation in engineering and industry. And given the importance of magnetic fluid flow has attracted researchers to study and explore its benefits and uses in the industrial field, especially in convective flow and heat transfer processes. This paper therefore considers mathematical modeling on mixed convection MHD viscous fluid flow on the lower stagnation point of a magnetic sliced sphere. The study began with transforming the governing equations which are in dimensional partial differential equations to non-dimensional ordinary differential equations by using the similarity variable. The resulting similarity equations are then solved by the Keller-Box scheme. The characteristics and effects of the Prandtl number, the sliced angle, the magnetic parameter, and the mixed convection parameter are analyzed and discussed. The results depicted that the uniform magnetic field produced by Lorentz force and slicing on the sphere act as determining factors for the trend of nano fluid movement and controlling the cooling rate of the sphere surface. In addition, the viscosity depends on the copper particle volume fraction.

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Author Biographies

Basuki Widodo, Department of Mathematics, Faculty of Sciences and Data Analytics, Institut Teknologi Sepuluh Nopember, Kampus ITS Keputih Sukolilo, 60111, Surabaya, Indonesia

b_widodo@matematika.its.ac.id

Adhi Surya Nugraha, Department of Mathematics Education, Faculty of Teacher Training and Education, Univesity of Sanata Dharma, Jalan Affandi, Mrican, Caturtunggal, Depok Sleman, 55281, Yogyakarta, Indonesia

yohanesadhisn@gmail.com

Dieky Adzkiya, Department of Mathematics, Faculty of Sciences and Data Analytics, Institut Teknologi Sepuluh Nopember, Kampus ITS Keputih Sukolilo, 60111, Surabaya, Indonesia

dieky@matematika.its.ac.id

Mohd Zuki Salleh, Center for Mathematical Sciences, Universiti Malaysia Pahang 26300 Gambang, Kuantan, Pahang, Malaysia

zuki@ump.edu.my

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