Finite Difference Method to Evaluate the Characteristics of Optically Dense Gray Nanofluid Heat Transfer around the Surface of a Sphere and in the Plume Region

Muhammad Ashraf, Anwar Khan, Amir Abbas, Abid Hussanan, Kaouther Ghachem, Chemseddine Maatki and Lioua Kolsi ()
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Muhammad Ashraf: Department of Mathematic, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
Anwar Khan: Department of Mathematic, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
Amir Abbas: Department of Mathematics, Faculty of Science, University of Gujrat, Sub-Campus, Mandi Bahauddin 50400, Pakistan
Abid Hussanan: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Kaouther Ghachem: Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Chemseddine Maatki: Department of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi Arabia
Lioua Kolsi: Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 4, 1-25

Abstract: The current research study is focusing on the investigation of the physical effects of thermal radiation on heat and mass transfer of a nanofluid located around a sphere. The configuration is investigated by solving the partial differential equations governing the phenomenon. By using suitable non-dimensional variables, the governing set of partial differential equations is transformed into a dimensionless form. For numerical simulation, the attained set of dimensionless partial differential equations is discretized by using the finite difference method. The effects of the governing parameters, such as the Brownian motion parameter, the thermophoresis parameter, the radiation parameter, the Prandtl number, and the Schmidt number on the velocity field, temperature distribution, and mass concentration, are presented graphically. Moreover, the impacts of these physical parameters on the skin friction coefficient, the Nusselt number, and the Sherwood number are displayed in the form of tables. Numerical outcomes reflect that the effects of the radiation parameter, thermophoresis parameter, and the Brownian motion parameter intensify the profiles of velocity, temperature, and concentration at different circumferential positions on the sphere.

Keywords: finite difference method; thermal radiation; nanofluid; heat transfer; sphere; plume region; partial differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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