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

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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, Al2O3 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.

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Abbreviations

T :

Temperature (K)

u, v, w :

Velocity components along x, y, z axes, respectively \(({\mathrm{m}}\,{\mathrm{s}}^{-1})\)

B 0 :

External uniform magnetic field (\({\mathrm{A}}\,{\mathrm{m}}^{-1})\)

C p :

Specific heat at constant pressure J KD−1 K

g:

Acceleration due to gravity \(\left({\mathrm{m}}\,{\mathrm{s}}^{-2}\right)\)

k 1 :

Thermal conductivity W m−1 K−1

k 1 ′ :

Permeability of the fluid \(\left({\mathrm{m}}^{-1}\right)\)

M:

Magnetic parameter (ratio of Lorentz force to viscous force)

Pr :

Prandtl number (ratio of momentum diffusivity to thermal diffusivity)

L:

Distance between the plates

ρ :

Density (kg \({\mathrm{m}}^{-3})\)

σ :

Electrical conductivity (\({\mathrm{m}}^{-1}\,\mathrm{s})\)

∅:

Nanoparticle volume fraction

θ :

Dimensionless temperature (\(\theta =\frac{\mathrm{T}-{T}_{L}}{{T}_{w}-{T}_{L}}\))

Φ:

Dimensionless concentration \((\Phi =\frac{\mathrm{C}-{C}_{L}}{{C}_{w}-{C}_{L}})\)

μ :

Dynamic viscosity (\({\mathrm{m}}^{2}\,{\mathrm{s}}^{-1})\)

φ :

Porosity

κ :

Permeability (dimensionless)

Ω:

Constant rotation velocity \((\mathrm{m}\,{\mathrm{s}}^{-1})\)

ν :

Kinematic viscosity \({(\mathrm{m}}^{2}\,{\mathrm{s}}^{-1})\)

η :

Dimensionless variable

f :

Fluid phase

nf :

Nano-fluid

s :

Solid phase

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Authors and Affiliations

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

    Rahul P. Mehta

  2. Department of Mathematics, The Maharaja Sayajirao University of Baroda, Vadodara, India

    Hari R. Kataria

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Mehta, R.P., Kataria, H.R. Influence of Magnetic Field, Thermal Radiation and Brownian Motion on Water-Based Composite Nanofluid Flow Passing Through a Porous Medium. Int. J. Appl. Comput. Math 7, 7 (2021). https://doi.org/10.1007/s40819-020-00938-8

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