Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (3): 447-466.doi: https://doi.org/10.1007/s10483-022-2837-6

• Articles • Previous Articles    

Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure

S. HUSSAIN1,2, T. TAYEBI3, T. ARMAGHANI4, A. M. RASHAD5, H. A. NABWEY6,7   

  1. 1. Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan;
    2. Lehrstuhl III, Department of Mathematics, Technical University of Dortmund, Dortmund 44227, Germany;
    3. Faculty of Sciences and Technology, University of Bordj Bou Arreridj, El-Anasser 34030, Algeria;
    4. Department of Engineering, West Tehran Branch, Islamic Azad University, Tehran 11365, Iran;
    5. Department of Mathematics, Aswan University, Faculty of Science, Aswan 81528, Egypt;
    6. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;
    7. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
  • Received:2021-08-21 Revised:2021-11-30 Published:2022-02-22
  • Contact: S. HUSSAIN, E-mail: shafqat.hussain@cust.edu.pk

Abstract: The present study concerns the modelization and numerical simulation for the heat and flow exchange characteristics in a novel configuration saturated with a non-Newtonian Ag-MgO hybrid nanofluid. The wavy shaped enclosure is equipped with one-quarter of a conducting solid cylinder. The system of equations resulting from the math-ematical modeling of the physical problem in its dimensionless form is discretized via the higher-order Galerkin-based finite element method (GFEM). The dependency of various factors and their interrelationships affecting the hydro-thermal behavior and heat exchange rate are delineated. The numerical experiments reveal that the best heat transfer rate is achieved for the pseudo-plastic hybrid nanoliquid with high Rayleigh number and thermal conductivity ratio and low Hartmann number. Besides, the power-law index has a major effect in deteriorating the heat convection at high Rayleigh number.

Key words: natural convection, waved-shaped cavity, magnetic field, hybrid nanofluid, higher order finite element method (FEM)

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals