Magneto hydrodynamic boundary layer flow of ternary hybrid nano-fluid (TiO2-SiO2,-Al2O3/H2O-C2H6O2) a numerical and analytical Investigations

Document Type

Article

Publication Date

6-1-2024

Abstract

In the present work, we explored the magnetohydrodynamic flow in the pressure gradient across a flat plate. The effects of the magnetic field and the addition of ternary hybrid nano-fluid (i.e. a mixture of three nanoparticles for example (TiO2, SiO2, and Al2O3) in mixture base fluid (H2O-C2H6O2) are also considered in this study. The flow over a flat plate is an interesting analysis for thermal and momentum boundary layers, for the implications of heat transfer, and is applied in numerous technological and industrial fields. Basic partial differential equations are transformed into nonlinear ordinary differential equations using similarity transformation. Then, this equation was treated numerically by the 4th-5th order of the Runge-Kutta-Fehlberg method with shooting approaches and analytically by a new method called the Daftardar-Jafari Method (DJM). The effect of various physical parameters namely the magnetic field (M) , the volumetric fraction of the nanoparticles, the pressure gradient (m) on the velocity distribution and the coefficient of friction C-f , of the theoretical results obtained confirm that the ternary hybrid nano-fluid has a better dynamic property than the hybrid nano-fluid, as well as the efficiency of the adopted DJM technique. This investigation laid out that ternary hybrid nano-fluid possesses excellent thermal execution, more noteworthy than that of hybrid nano-fluid.

Keywords

Ternary hybrid nanoparticles, Pressure gradient, Magnetic field, Daftardar-Jafari Method (DJM), Runge-Kutta method, Schooting method

Divisions

MathematicalSciences

Publication Title

Journal of the Brazilian Society of Mechanical Sciences and Engineering

Volume

46

Issue

6

Publisher

Springer Verlag (Germany)

Publisher Location

TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY

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