## Influence of Magnetic Field, Thermal Radiation and Brownian Motion on Water-Based Composite Nanofluid Flow Passing Throu

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Influence of Magnetic Field, Thermal Radiation and Brownian Motion on Water-Based Composite Nanofluid Flow Passing Through a Porous Medium Rahul P. Mehta1

· Hari R. Kataria2

Accepted: 21 November 2020 © Springer Nature India Private Limited 2021

Abstract This paper explored the effects of a three-dimensional water composite nanofluid fluid flow between two horizontal parallel platelets in a rotating device. Different criteria contrast the flow properties of the conventional fluid (water), nanofluid cup-water, Al2 O3 and composite Nanofluid. Through efficient transformations, nonlinear dimensional equations are translated into dimensional expressions. For the resolution of the dimensionless Ordinary differential equations system, a semi-analytical analytical homotopy technique is used. In order to test flow, heat, and mass transmission, a graphical analysis was performed with various variables. Relevant and Graphic view with skin friction numerical values, Nusselt local count and the Sherwood counters. The magnetic parameter has been shown to speed up. Heat transmission also improves through thermophoresis, magnetic field and thermophoresis, whilst thermophoresis, Schmidt numbers and Brownian motion help to reduce the mass transmission. Keywords Nanofluid · Mass transmission · H.A.M. · MHD

List of Symbols T u, v, w B0 Cp g k1

B

Temperature (K) Velocity components along x, y, z axes, respectively (m s−1 ) External uniform magnetic field (A m−1 ) Specific heat at constant pressure JKD−1 K Acceleration due to gravity m s−2 Thermal conductivity W m−1 K−1

Rahul P. Mehta [email protected] Hari R. Kataria [email protected]

1

Applied Sciences and Humanities Department, Sardar Vallabhbhai Patel Institute of Technology, Vasad, India

2

Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, India 0123456789().: V,-vol

123

7

k1 M Pr L

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Int. J. Appl. Comput. Math

(2021) 7:7

Permeability of the fluid m−1 Magnetic parameter (ratio of Lorentz force to viscous force) Prandtl number (ratio of momentum diffusivity to thermal diffusivity) Distance between the plates

Greek Symbols ρ σ ∅ θ

Density (kg m−3 ) Electrical conductivity (m−1 s) Nanoparticle volume fraction Dimensionless temperature (θ

μ ϕ κ ν η

Dimensionless concentration ( Dynamic viscosity (m2 s−1 ) Porosity Permeability (dimensionless) Constant rotation velocity (m s−1 ) Kinematic viscosity (m2 s−1 ) Dimensionless variable

T−TL Tw −TL ) L ) CC−C w −C L

Subscripts f Fluid phase nf Nano-fluid s Solid phase

Introduction Restricting conventional fluids to accelerate cooling/heating results in nanofluid detection. Water-based nanoparticles like CuO or Al2 O3 , for example, are addressed in general in a single step. Improving the flow of heat is helpful to science and real-world issues. Experiments to substitute single nanoparticles based nanofluids with composite nanoparticles are conducted to this purpose. The researchers are also intrigued by the composite Nanofluid’s heat transfer properties

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