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A study of MHD fluid with second order slip and thermal flow over a nonlinear stretching sheet

Jauhri Shefali, Mishra Upendra

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 2

98--114

EN

An electrically conducted viscous incompressible nanofluid flow caused by the nonlinear stretching surface with stagnation flow has been investigated numerically. The effect of Brownian motion and thermophoresis on the nanofluid is also incorporated. The governing partial differential equations with nonlinear second order boundary conditions are solved by the fourth order Runge-Kutta technique using MATLAB programming. The effect of the radiation parameter (Rd), stretching parameter (n), Brownian motion parameter (Nb), thermophoresis parameter (Nt) on temperature, velocity and mass transfer are shown graphically. The influence of some of these parameters on the local Nusselt number (−𝜃′(0)) and local Sherwood number (−𝜙′(0)) are shown by the graphs.

2

A locally modified single-phase model for analyzing magnetohydrodynamic boundary layer flow and heat transfer of nanofluids over a nonlinearly stretching sheet with chemical reaction

Akbarzadeh P.

Journal of Theoretical and Applied Mechanics

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2018

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Vol. 56 nr 1

81--94

EN

The problem of boundary layer flow and heat transfer of nanofluids over nonlinear stretching of a flat sheet in the presence of a magnetic field and chemical reaction is investigated numerically. In this paper, a new locally modified single-phase model for the analysis is introduced. In this model, the effective viscosity, density and thermal conductivity of the solid-liquid mixtures (nanofluids) which are commonly utilized in the homogenous single-phase model, are locally combined with the prevalent single-phase model. Similarity transformation is used to convert the governing equations into three coupled nonlinear ordinary differential equations. These equations depend on five local functions of the nanoparticle volume fraction viz., local viscosity ratio, magnetic, Prandtl, Brownian motion and thermophoresis functions. The equations are solved using Newton’s method and a block tridiagonal matrix solver. The results are compared to the prevalent single-phase model. In addition, the effect of important governing parameters on the velocity, temperature, volume fraction distribution and the heat and mass transfer rates are examined.

3

MHD flow of Walters’ liquid B over a nonlinearly stretching sheet

Siddheshwar P. G., Mahabaleshwar U. S., Chan A.

International Journal of Applied Mechanics and Engineering

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2015

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Vol. 20, no. 3

589--603

EN

The paper discusses the boundary layer flow of a weak electrically conducting viscoelastic Walters’ liquid B over a nonlinearly stretching sheet subjected to an applied transverse magnetic field, when the liquid far awal from the surface is at rest. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. An analytical expression is obtained for the stream function and velocity components as a function of the viscoelastic parameter, the Chandrasekhar number and stretching related parameters. The results have possible technological applications in liquid based systems involving stretchable materials.

4

Flow and heat transfer of a quadratic stretching sheet in a Boussinesq-Stokes suspension

Sekhar G. N., Chethan A. S.

International Journal of Applied Mechanics and Engineering

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2011

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Vol. 16, no 4

1109-1128

EN

An analysis is carried out to study the flow and heat transfer in a couple stress fluid over a stretching sheet. The velocity of the sheet is taken as a quadratic polynomial of the distance from the sheet. This results in the manifestation of augmentation of flow in the direction transverse to the sheet. An analytical expression is obtained for velocity components as a function of the couple stress parameter and stretching related parameters. The heat transfer characteristic of a Boussinesq-Stokes suspension over a continuous stretching surface with internal heat generation/absorption is analyzed. Two cases are studied, namely (i) the sheet with prescribed surface temperature (PST-case) and (ii) the sheet with prescribed heat flux (PHF-case). The basic boundary layer equations for momentum and heat transfer, which are non-linear partial differential equations, are converted into non-linear ordinary differential equations by means of similarity transformation. The resulting non-linear differential equation is solved exactly. The solution and heat transfer characteristics are obtained in terms of Kummer's functions. The results have possible technological applications in the liquid-based systems involving stretchable materials.