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1

Hydromagnetic effects on non-Newtonian Hiemenz flow

Sarkar Suman, Sahoo Bikash

Journal of Applied Analysis

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2022

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Vol. 28, nr 1

95--104

EN

The stagnation point flow of a non-Newtonian Reiner-Rivlin fluid has been studied in the presence of a uniform magnetic field. The technique of similarity transformation has been used to obtain the selfsimilar ordinary differential equations. In this paper, an attempt has been made to prove the existence and uniqueness of the solution of the resulting free boundary value problem. Monotonic behavior of the solution is discussed. The numerical results, shown through a table and graphs, elucidate that the flow is significantly affected by the non-Newtonian cross-viscous parameter L and the magnetic parameter M.

2

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.

3

The impact of radiation effect on MHD stagnation-point flow of a nanofluid over an exponentially stretching sheet in the presence of chemical reaction

Narender G., Sarma G. S., Govardhan K.

International Journal of Applied Mechanics and Engineering

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2019

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Vol. 24, no. 4

125--139

EN

The present study is to investigate the effect of the chemical reaction parameter on stagnation point flow of magnetohydrodynamics field past an exponentially stretching sheet by considering a nanofluid. The problem is governed by governing coupled nonlinear partial differential equations with appropriate boundary conditions. The transformed non-dimensional and coupled governing ordinary differential equations are solved numerically using the fourth order Adams-Bashforth Moulton method. The effects of various dimensionless parameters on velocity, temperature and concentration fields are studied and then the results are presented in both tabular and graphical forms.

4

On the Effectiveness of Heat Generation/Absorption on Heat Transfer in a Stagnation Point Flow of a Micropolar Fluid over a Stretching Surface

Attia H. A.

Mechanics and Mechanical Engineering

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2009

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Vol. 13, nr 1

79-84

EN

The heat transfer in a steady laminar stagnation point flow of an incompressible non-Newtonian micropolar fluid impinging on a permeable stretching surface with heat generation or absorption is investigated. Numerical solution for the governing nonlinear momentum and energy equations is obtained. The effect of the characteristics of the non-Newtonian fluid, the surface stretching velocity, and the heat generation/absorption coefficient on the heat transfer is presented.

5

Hiemenz flow of a micropolar fluid in hydromagnetics

Mohammadein A. A., El Kabeir S. M., El-Hakiem M. A., Gorla R. S. R.

Applied Mechanics and Engineering

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1998

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Vol. 3, no 3

367-376

EN

A boundary layer analysis has been presented for Hiemenz flow in hydromagnetics of a micropolar incompressible, viscous, electrically conducting fluid impinging normal to a plane in the presence of a transverse magnetic field. Numerical solutions are given for the governing momentum and angular momentum equations. An approximate solution is given which is simple and yet sufficiently accurate for the entire range of values of Harman number investigated. A discussion has been provided for the effect micropolar parameters on Hiemenz flow in hydromagnetics.