Free Convection in Heat Transfer Flow over a Moving Sheet in Alumina Water Nanofluid

The present paper deals with study of free convection in two-dimensional magnetohydrodynamic (MHD) boundary layer flow of an incompressible, viscous, electrically conducting, and steady nanofluid. The governing equations representing fluid flow are transformed into a set of simultaneous ordinary differential equations by using appropriate similarity transformation. The equations thus obtained have been solved numerically using adaptive Runge-Kutta method with shooting technique. The effects of physical parameters like magnetic parameter, temperature buoyancy parameter on relative velocity and temperature distribution profile, shear stress profile, and temperature gradient profile were depicted graphically and analyzed. Significant changes were observed due to these parameters in velocity and temperature profiles.

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Computer-Assisted Power Series Solution for MHD Boundary Layer Flow of a Weakly Electrically Conducting Nanoliquid past a Stretching Sheet

Open Journal of Heat Mass and Momentum Transfer ◽

10.12966/hmmt.04.03.2014 ◽

2014 ◽

Vol 2 (2) ◽

pp. 47 ◽

Cited By ~ 2

Author(s):

Deepa Sinha ◽

Preeti Jain ◽

N. S. Tomer

Keyword(s):

Boundary Layer ◽

Power Series ◽

Series Solution ◽

Stretching Sheet ◽

Power Series Solution ◽

Computer Assisted ◽

Electrically Conducting ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

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An Initial Value Method for the Solution of MHD Boundary-Layer Equations

Aeronautical Quarterly ◽

10.1017/s0001925900005254 ◽

1970 ◽

Vol 21 (1) ◽

pp. 91-99 ◽

Cited By ~ 10

Author(s):

T. Y. Na

Keyword(s):

Boundary Layer ◽

Iteration Process ◽

Physical Parameters ◽

Point Boundary ◽

Initial Value ◽

Linear Ordinary Differential Equations ◽

Boundary Layer Equations ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

SummaryAn initial value method is introduced in this paper for the solution of the two-point non-linear ordinary differential equations resulting from an analysis of the MHD boundary-layer flow originally treated by Greenspan and Carrier. By using this method, the iteration process is eliminated. The method is seen to be applicable to the solution of similar two-point boundary value problems where certain physical parameters appear either in the differential equation or in the boundary conditions and solutions for a range of the parameter are sought.

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Dufour and radiation effect on MHD boundary layer flow past a wedge through porous medium with heat source and chemical reaction

JOURNAL OF ADVANCES IN MATHEMATICS ◽

10.24297/jam.v11i4.1259 ◽

2015 ◽

Vol 11 (4) ◽

pp. 5094-5107

Author(s):

Hadibandhu Pattnayak ◽

Rojali Mohapatra

Keyword(s):

Boundary Layer ◽

Chemical Reaction ◽

Heat Generation ◽

Boundary Layer Flow ◽

Stream Velocity ◽

Physical Parameters ◽

Flow Past ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

Magnetohydrodynamics (MHD) boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction has been analyzed in the present study. This model used for the momentum, temperature and concentration fields. The principal governing equations is based on the velocity in a nanofluid and with a parallel free stream velocity and surface temperature and concentration. The governing nonlinear boundary layer equations for momentum, thermal energy and concentration are transformed to a system of nonlinear ordinary coupled differential equations by using suitable similarity transformation with fitting boundary conditions. The transmuted model is shown to be controlled by a number of thermo-physical parameters, viz. the magnetic parameter, buoyancy parameter, radiation conduction parameter, heat generation parameter, Porosity parameter, Dufour number, Prandtl number, Lewis number, Brownian motion parameter, thermophoresis parameter, chemical reaction parameter and pressure gradient parameter. Numerical elucidations are obtained with the legendary Nactsheim-Swigert shooting technique together with RungeKutta six order iteration schemes.

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On a similarity solution of MHD boundary layer flow over a moving vertical cylinder

Differential Equations and Nonlinear Mechanics ◽

10.1155/denm/2006/52765 ◽

2006 ◽

Vol 2006 ◽

pp. 1-9

Author(s):

Maryem Amkadni ◽

Adnane Azzouzi

Keyword(s):

Shooting Method ◽

Similarity Transformation ◽

Vertical Cylinder ◽

Transverse Magnetic ◽

Self Similarity ◽

Electrically Conducting ◽

Electrically Conducting Fluid ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

The steady flow of an incompressible electrically conducting fluid over a semi-infinite moving vertical cylinder in the presence of a uniform transverse magnetic field is analyzed. The partial differential equations governing the flow are reduced to an ordinary differential equation, using the self-similarity transformation. The analysis deals with the existence of an exact solution to the boundary value problem by a shooting method.

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Application of homotopy perturbation method for MHD boundary layer flow of an upper-convected Maxwell fluid in a porous medium

Chemical Engineering Research Bulletin ◽

10.3329/cerb.v18i1.26216 ◽

2016 ◽

Vol 18 (1) ◽

pp. 12 ◽

Cited By ~ 2

Author(s):

Anuj Kumar Jhankal

Keyword(s):

Boundary Layer ◽

Porous Medium ◽

Perturbation Method ◽

Boundary Layer Flow ◽

Homotopy Perturbation Method ◽

Physical Parameters ◽

Homotopy Perturbation ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

<p>The magneto-hydrodynamics (MHD) boundary layer flow of an electrically conducting upper-convected Maxwell (UCM) fluid in porous medium is studied. The governing similarity equation is solved by He’s Homotopy perturbation method (HPM). The main advantage of HPM is that it does not require the small parameters in the equations and hence the limitations of traditional perturbation can be eliminated. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear problems. The effects of various physical parameters on the flow presented and discussed through graphs.</p><p>Chemical Engineering Research Bulletin 18(2015) 12-17</p>

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MHD boundary layer flow and heat transfer characteristics of a nanofluid over a stretching sheet

Acta Universitatis Sapientiae Mathematica ◽

10.1515/ausm-2017-0009 ◽

2017 ◽

Vol 9 (1) ◽

pp. 140-161 ◽

Cited By ~ 8

Author(s):

M. Ferdows ◽

Md. Shakhaoath Khan ◽

Md. Mahmud Alam ◽

A. A. Afify

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Lewis Number ◽

Skin Friction Coefficient ◽

Iteration Scheme ◽

Physical Parameters ◽

Flow And Heat Transfer ◽

Mhd Boundary Layer ◽

Layer Flow ◽

Mhd Boundary Layer Flow

AbstractThe study of radiative heat transfer in a nanofluid with the influence of magnetic field over a stretching surface is investigated numerically. Physical mechanisms responsible for magnetic parameter, radiation parameter between the nanoparticles and the base fluid, such as Brownian motion and thermophoresis, are accounted for in the model. The parameters for Prandtl numberPr, Eckert numberEc, Lewis numberLe, stretching parameterb/aand constant parametermare examined. The governing partial differential equations were converted into nonlinear ordinary differential equations by using a suitable similarity transformation, which are solved numerically using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration scheme. The accuracy of the numerical method is tested by performing various comparisons with previously published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature and concentration distributions as well as skin-friction coefficient, Nusselt number and Sherwood number are discussed at the sheet for various values of physical parameters.

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