A Magnetite–Water-Based Nanofluid Three-Dimensional Thin Film Flow on an Inclined Rotating Surface with Non-Linear Thermal Radiations and Couple Stress Effects

Asad Ullah, Ikramullah, Mahmoud M. Selim, Thabet Abdeljawad, Muhammad Ayaz, Nabil Mlaiki and Abdul Ghafoor
Additional contact information
Asad Ullah: Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Pakistan
Ikramullah: Department of Physics, Kohat University of Science & Technology, Kohat 26000, Pakistan
Mahmoud M. Selim: Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
Muhammad Ayaz: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
Abdul Ghafoor: Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat 26000, Pakistan

Energies, 2021, vol. 14, issue 17, 1-19

Abstract: This study is related to the heat energy transfer during 3 D nanofluid (water-based) motion over a rotating surface by incorporating the combined impacts of thermal radiations and couple stress. The flow is modeled by a set of non-linear coupled PDEs, which is converted to a set of coupled non-linear ODEs by using suitable similarity transformations. The transformed equations are solved with the built-in NDSolve command. The effects of relevant interesting parameters on the nanofluid velocity components and temperature distribution are explained through various graphs. It is found that the velocity component f ( η ) is increased with higher values of γ and A 0 while it drops with an increasing rotation parameter and nanoparticle volume fraction. The fluid temperature increases with higher α n f , R d , ϵ 2 , ϵ 3 , A 1 and drops with increasing P r , ϵ 1 and couple stress parameter ( A 0 ) . The Nusselt number remains constant at a fixed P r and R d , whereas it increases with increasing P r and is reduced with rising R d . A comparison between the achieved results is carried out with the analytical results through different tables. An excellent agreement is observed between these results.

Keywords: thermal radiations; magnetic field; Carreau fluid; stretching/shrinking surface; Hall effect; non-linear radiations; HAM (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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