Numerical treatment with Lobatto IIIA technique for radiative flow of MHD hybrid nanofluid (Al2O3—Cu/H2O) over a convectively heated stretchable rotating disk with velocity slip effects

Chun Ouyang,Muhammad Shoaib,Muhammad Asif Zahoor Raja,Muhammad Awais,Rizwan Akhtar,Muhammad Touseef Sabir

doi:10.1063/1.5143937

Abstract

This study investigates the transportation of mass and heat in the 3D flow of hybrid nanofluids over a rotating disk in the presence of uniform magnetic field acting along the transverse direction to the flow. Water is being used as a base fluid mixed with nanoparticles of aluminum oxide and copper. The mathematical model of the nano-fluidic problem in terms of partial differential equations (PDEs) is formulated by considering the velocity slip at the boundary and heat transport mechanism due to thermal convection and radiation effects. Suitable similarity transformations are being used to transform the governing system of PDEs into a system of nonlinear ordinary differential equations. The transformed model is then analyzed by employing the competency of the Lobatto IIIA technique. Numerical and graphical illustrations are presented for the analysis of different flow parameters by varying velocities and temperature profiles. The behavior of heat transfer rate and coefficient skin friction is also studied numerically for the presented flow model.

Highlights

The suspension comprising nanoparticles mixed with the base fluid is vital because many base fluids, such as water, alcohol, and glycol, have very low thermal conductivity and cannot be used separately in many applications
Transformed ordinary differential equations (ODEs) of the flow problem in Eqs. (7)–(10) are numerically solved by using the technique of Lobatto IIIA by invoking MATLAB routine bvp4c, as shown in the schematic process flow chart in Fig. 1, while the details of the solver can be studied in Ref. 44
● Skin friction CfxRex1/2 enhances for larger values of M and S, whereas it reduces for greater values of λ and χ

Summary

INTRODUCTION

The suspension comprising nanoparticles mixed with the base fluid is vital because many base fluids, such as water, alcohol, and glycol, have very low thermal conductivity and cannot be used separately in many applications. Due to this weakness, a new type of fluid known as the nanofluid was introduced. A very convenient and eco-friendly conversion process of solar radiation into heat energy is known as solar collector Various fluids such as water and glycol are used in these collectors for enhancing their capabilities or effectiveness.

THERMOPHYSICAL PROPERTIES

MATHEMATICAL DEVELOPMENT

RESULTS AND DISCUSSION

CONCLUSIONS