Magnetohydrodynamic boundary layer flow of hybrid nanofluid with the thermophoresis and Brownian motion in an irregular channel: A numerical approach

The effects of viscous dissipation on the boundary layer flow of hybrid nanofluids have been investigated. This study presents the mathematical modelling of steady two dimensional boundary layer flow of Cu-TiO2 hybrid nanofluid. In this research, the surface of the model is stretched and shrunk at the specific values of stretching/shrinking parameter. The governing partial differential equations of the hybrid nanofluid are reduced to the ordinary differential equations with the employment of the appropriate similarity transformations. Then, Matlab software is used to generate the numerical and graphical results by implementing the bvp4c function. Subsequently, dual solutions are acquired through the exact guessing values. It is observed that the second solution adhere to less stableness than first solution after performing the stability analysis test. The existence of viscous dissipation in this model is dramatically brought down the rate of heat transfer. Besides, the effects of the suction and nanoparticles concentration also have been highlighted. An increment in the suction parameter enhances the magnitude of the reduced skin friction coefficient while the augmentation of concentration of copper and titanium oxide nanoparticles show different modes.

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Magnetohydrodynamic (MHD) Boundary Layer Flow Past a Wedge with Heat Transfer and Viscous Effects of Nanofluid Embedded in Porous Media

Mathematical Problems in Engineering ◽

10.1155/2019/4507852 ◽

2019 ◽

Vol 2019 ◽

pp. 1-12 ◽

Cited By ~ 8

Author(s):

Wubshet Ibrahim ◽

Ayele Tulu

Keyword(s):

Boundary Layer ◽

Porous Media ◽

Brownian Motion ◽

Prandtl Number ◽

Boundary Layer Flow ◽

Boundary Layer Thickness ◽

Lewis Number ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

The problem of two-dimensional steady laminar MHD boundary layer flow past a wedge with heat and mass transfer of nanofluid embedded in porous media with viscous dissipation, Brownian motion, and thermophoresis effect is considered. Using suitable similarity transformations, the governing partial differential equations have been transformed to nonlinear higher-order ordinary differential equations. The transmuted model is shown to be controlled by a number of thermophysical parameters, viz. the pressure gradient, magnetic, permeability, Prandtl number, Lewis number, Brownian motion, thermophoresis, and Eckert number. The problem is then solved numerically using spectral quasilinearization method (SQLM). The accuracy of the method is checked against the previously published results and an excellent agreement has been obtained. The velocity boundary layer thickness reduces with an increase in pressure gradient, permeability, and magnetic parameters, whereas thermal boundary layer thickness increases with an increase in Eckert number, Brownian motion, and thermophoresis parameters. Greater values of Prandtl number, Lewis number, Brownian motion, and magnetic parameter reduce the nanoparticles concentration boundary layer.

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Analysis of general unified MHD boundary-layer flow of a viscous fluid - a novel numerical approach through wavelets

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.08.004 ◽

2020 ◽

Vol 168 ◽

pp. 135-154 ◽

Cited By ~ 1

Author(s):

Harinakshi Karkera ◽

Nagaraj N. Katagi ◽

Ramesh B. Kudenatti

Keyword(s):

Boundary Layer ◽

Viscous Fluid ◽

Boundary Layer Flow ◽

Numerical Approach ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

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Numerical Analysis of Boundary Layer Flow Adjacent to a Thin Needle in Nanofluid with the Presence of Heat Source and Chemical Reaction

Symmetry ◽

10.3390/sym11040543 ◽

2019 ◽

Vol 11 (4) ◽

pp. 543 ◽

Cited By ~ 8

Author(s):

Siti Nur Alwani Salleh ◽

Norfifah Bachok ◽

Norihan Md Arifin ◽

Fadzilah Md Ali

Keyword(s):

Boundary Layer ◽

Brownian Motion ◽

Differential Equations ◽

Chemical Reaction ◽

Heat Generation ◽

Boundary Layer Flow ◽

Velocity Ratio ◽

Dual Solutions ◽

Reaction Parameters ◽

Layer Flow

The steady boundary layer flow of a nanofluid past a thin needle under the influences of heat generation and chemical reaction is analyzed in the present work. The mathematical model has been formulated by using Buongiornos’s nanofluid model which incorporates the effect of the Brownian motion and thermophoretic diffusion. The governing coupled partial differential equations are transformed into a set of nonlinear ordinary differential equations by using appropriate similarity transformations. These equations are then computed numerically through MATLAB software using the implemented package called bvp4c. The influences of various parameters such as Brownian motion, thermophoresis, velocity ratio, needle thickness, heat generation and chemical reaction parameters on the flow, heat and mass characteristics are investigated. The physical characteristics which include the skin friction, heat and mass transfers, velocity, temperature and concentration are further elaborated with the variation of governing parameters and presented through graphs. It is observed that the multiple (dual) solutions are likely to exist when the needle moves against the direction of the fluid flow. It is also noticed that the reduction in needle thickness contributes to the enlargement of the region of the dual solutions. The determination of the stable solution has been done using a stability analysis. The results indicate that the upper branch solutions are linearly stable, while the lower branch solutions are linearly unstable. The study also revealed that the rate of heat transfer is a decreasing function of heat generation parameter, while the rate of mass transfer is an increasing function of heat generation and chemical reaction parameters.

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