Investigating effects of Lorentz forces and convective heating on ternary hybrid nanofluid flow over a curved surface using homotopy analysis method

Author:

Lone Showkat Ahmad1,Allehiany F. M.2,Anwar Sadia3,Shahab Sana4,Saeed Anwar5,Eldin Sayed M.6

Affiliation:

1. Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, (Jeddah-M) , Riyadh 11673 , Saudi Arabia

2. Mathematics Department, Faculty of Sciences, Umm Al-Qura University , Mecca , Saudi Arabia

3. Department of Mathematics, College of Arts and Sciences, Wadi Ad Dawasir (11991), Prince Sattam Bin Abdulaziz University , Al-Kharj , Saudi Arabia

4. Department of Business Administration, College of Business Administration, Princess Nourah Bint Abdulrahman University , P.O. Box 84428 , Riyadh 11671 , Saudi Arabia

5. Department of Mathematics, Abdul Wali Khan University , Mardan, 23200 , Khyber Pakhtunkhwa , Pakistan

6. Center of Research, Faculty of Engineering, Future University in Egypt New Cairo , New Cairo , Egypt

Abstract

Abstract This work investigates the ternary hybrid nanofluid flow over an extending curved surface. The surface is impermeable and convective with hot working fluid water. Additionally, TiO 2 {\text{TiO}}_{\text{2}} , CoFe 2 O 4 {\text{CoFe}}_{\text{2}}{\text{O}}_{\text{4}} , and MgO \text{MgO} nanoparticles are suspended with water to form a tri-hybrid nanofluid. The modeled equations are presented in the partial differential equation form and are then converted to ordinary differential equations with appropriate similarity variables. The semi-analytical solution is determined by homotopy analysis method. The impacts of magnetic field, Joule heating, chemical reaction, Brownian motion, and thermophoresis on flow profiles, Nusselt number, and Sherwood number are determined using tables and figures. The findings of this study demonstrated that as the magnetic parameter upsurges, the velocity distribution shrinkages, while the temperature distribution escalates. The greater curvature factor boots the velocity, thermal, and volumetric fraction distribution. The thermal and volumetric fraction distributions are the increasing functions of thermophoresis factor. The higher magnetic factor, Eckert number, and thermal Biot number increase the Nusselt number, while they reduce the higher Brownian and thermophoretic factors. The higher thermophoresis and Brownian motion factors heighten the Sherwood number. Furthermore, it has been noted that using nanofluid (TiO2-water) and hybrid nanoliquid (TiO2-CoFe2O4/water), the transfer of energy rate increases by up to 17.31 and 31.72% as the nanoparticle parameter increases from 0.01 to 0.04, respectively. However, the energy transference rate in case of ternary hybrid nanoliquid (TiO2-MgO-CoFe2O4/water) is 47.972%.

Publisher

Walter de Gruyter GmbH

Subject

Surfaces, Coatings and Films,Process Chemistry and Technology,Energy Engineering and Power Technology,Biomaterials,Medicine (miscellaneous),Biotechnology

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