scholarly journals On Series Solutions for MHD Plane and Axisymmetric Flow Near a Stagnation Point

2009 ◽  
Vol 2009 ◽  
pp. 1-10
Author(s):  
S. Abbasbandy ◽  
T. Hayat
Keyword(s):  
Stagnation Point ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Axisymmetric Body ◽  
Wall Heat Transfer ◽  
Series Solutions ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Homotopy Analysis

This investigation presents a mathematical model describing the momentum, heat and mass transfer characteristics of magnetohydrodynamic (MHD) flow and heat generating/absorbing fluid near a stagnation point of an isothermal two-dimensional body of an axisymmetric body. The fluid is electrically conducting in the presence of a uniform magnetic field. The series solution is obtained for the resulting coupled nonlinear differential equation. Homotopy analysis method (HAM) is utilized in obtaining the solution. Numerical values of the skin friction coefficient and the wall heat transfer coefficient are also computed.

scholarly journals Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

Thermally stratified stagnation point flow of Casson fluid with slip conditions

2015 ◽  
Vol 25 (4) ◽  
pp. 724-748 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Farooq ◽  
A. Alsaedi
Keyword(s):  
Velocity Profile ◽  
Stagnation Point ◽  
Design Methodology ◽  
Casson Fluid ◽  
Series Solutions ◽  
Analysis Method ◽  
Governing Equations ◽  
Content Type ◽  
Slip Effects ◽  
Homotopy Analysis

Purpose – The purpose of this paper is to focus on the stratified phenomenon through vertical stretching cylinder in the region of stagnation point with slip effects. Design/methodology/approach – Homotopy analysis method is used to find the series solutions of the governing equations. Findings – Velocity profile decreases with an increase in stratified parameters due to temperature and concentration. Velocity and thermal slips cause a reduction in the velocity profile. Thermally stratified and thermal slip parameters reduce the temperature field. Originality/value – The present analysis has not been existed in the literature yet.

Effect of Heat Transfer on Magnetohydrodynamic Axisymmetric Flow Between Two Stretching Sheets

2010 ◽  
Vol 65 (11) ◽  
pp. 961-968 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Nawaz
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Stokes Equations ◽  
Axisymmetric Flow ◽  
Skin Friction Coefficient ◽  
Navier Stokes ◽  
Tabular Form ◽  
Analysis Method ◽  
Navier Stokes Equations ◽  
Homotopy Analysis

This investigation describes the effects of heat transfer on magnetohydrodynamic (MHD) axisymmetric flow of a viscous fluid between two radially stretching sheets. Navier-Stokes equations are transformed into the ordinary differential equations by utilizing similarity variables. Solution computations are presented by using the homotopy analysis method. The convergence of obtained solutions is checked. Skin friction coefficient and Nusselt number are given in tabular form. The dimensionless velocities and temperature are also analyzed for the pertinent parameters entering into the problem.

Inclined Magnetic Field Effect in Stratified Stagnation Point Flow Over an Inclined Cylinder

2015 ◽  
Vol 70 (5) ◽  
pp. 317-324 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Farooq ◽  
Ahmad Alsaedi
Keyword(s):  
Magnetic Field ◽  
Stagnation Point ◽  
Magnetic Field Effect ◽  
Skin Friction Coefficient ◽  
Stagnation Point Flow ◽  
Physical Parameters ◽  
Inclined Magnetic Field ◽  
Series Solutions ◽  
Electrically Conducting ◽  
Limiting Case

AbstractThe present work addresses the double stratified mixed convection stagnation point flow induced by an impermeable inclined stretching cylinder. The fluid is electrically conducting in the presence of an inclined magnetic field. Viscous dissipation is considered. Temperature and concentration at and away from the boundary are assumed variable. Series solutions of momentum, energy, and concentration equations are computed. The characteristics of various physical parameters on the distributions of velocity, temperature, and concentration are analyzed graphically. Behaviours of skin friction coefficient, Nusselt, and Sherwood numbers are discussed numerically. Comparison of the skin friciton coefficient is also examined in the limiting case.

Heat Transfer Analysis on Axisymmetric Mhd Flow of a Micropolar Fluid Between the Radially Stretching Sheets

2011 ◽  
Vol 27 (4) ◽  
pp. 607-617 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
A. A. Hendi
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Local Skin ◽  
Homotopy Analysis

ABSTRACTThe effect of heat transfer on the axisymmetric flow of MHD micropolar fluid between two radially stretching sheets is described. The governing partial differential equations are reduced into the ordinary differential equations by using transformations. The resulting problems are solved by homotopy analysis method (HAM). Dimensionless velocities and temperature are plotted for the variation of influential parameters. The local skin friction coefficient, local couple stress coefficient and Nusselt number are tabulated with respect to the influence of several physical parameters.

scholarly journals Entropy Generation on MHD Flow of Powell-Eyring Fluid Between Radially Stretching Rotating Disk with Diffusion-Thermo and Thermo-Diffusion Effects

2017 ◽  
Vol 11 (1) ◽  
pp. 20-32 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Shahnila Aziz ◽  
Saif Ullah
Keyword(s):  
Differential Equation ◽  
Entropy Generation ◽  
Homotopy Analysis Method ◽  
Heat Dissipation ◽  
Axisymmetric Flow ◽  
Mhd Flow ◽  
Rotating Disk ◽  
Similarity Function ◽  
Analysis Method ◽  
Homotopy Analysis

Abstract An investigation is performed for an alyzing the effect of entropy generation on the steady, laminar, axisymmetric flow of an incompressible Powell-Eyring fluid. The flow is considered in the presence of vertically applied magnetic field between radially stretching rotating disks. The Energy and concentration equation is taking into account to investigate the heat dissipation, Soret, Dufour and Joule heating effects. To describe the considered flow non-dimensionalized equations, an exact similarity function is used to reduce a set of the partial differential equation into a system of non-linear coupled ordinary differential equation with the associated boundary conditions. Using homotopy analysis method (HAM), an analytic solution for velocity, temperature and concentration profiles are obtained over the entire range of the imperative parameters. The velocity components, concentration and temperature field are used to determine the entropy generation. Plots illustrate important results on the effect of physical flow parameters. Results obtained by means of HAM are then compared with the results obtained by using optimized homotopy analysis method (OHAM). They are in very good agreement.

The Approximate Analytical Solution of the MHD Flow of a Power-Law Fluid

2013 ◽  
Vol 431 ◽  
pp. 198-201
Author(s):  
Jing Zhu ◽  
Lian Cun Zheng
Keyword(s):  
Differential Equations ◽  
Power Law ◽  
Velocity Ratio ◽  
Mhd Flow ◽  
Convergent Series ◽  
Analysis Method ◽  
Governing System ◽  
Homotopy Analysis ◽  
Incompressible Mhd ◽  
Good Agreement

This paper presents a theoretical analysis for the incompressible MHD stagnation-point flows of a Non-Newtonian Fluid over stretching sheets.The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations. By using the homotopy analysis method, a convergent series solution is obtained. The reliability and efficiency of series solutions are illustrated by good agreement with numerical results in the literature.Besides, the effects of the power-law indexthe magnetic field parameter and velocity ratio parameter on the flow are investigated.

scholarly journals Soret and dufour effects on hydromagnetic flow of Eyring-Powell fluid over oscillatory stretching surface with heat generation/absorption and chemical reaction

2018 ◽  
Vol 22 (1 Part B) ◽  
pp. 533-543 ◽  
Author(s):  
Khan Ullah ◽  
Nasir Ali ◽  
Zaheer Abbas
Keyword(s):  
Analysis Method ◽  
Governing Equations ◽  
Convective Boundary ◽  
Soret And Dufour Effects ◽  
Electrically Conducting ◽  
Homotopy Analysis ◽  
Oscillatory Stretching Surface ◽  
And Diffusion ◽  
Local Sherwood Number ◽  
Oscillatory Stretching Sheet

In this article, we have investigated thermal-diffusion and diffusion-thermo effects on unsteady flow of electrically conducting Eyring-Powell fluid over an oscillatory stretching sheet by using convective boundary conditions. A set of appropriate variables are used to reduce number of independent variables in governing equations. Series solution is computed using homotopy analysis method. The effects of various parameters of interest on the velocity filed, temperature profile, concentration profile, skin friction, local Nusselt number and local Sherwood number are illustrated graphically and discussed in detail.

scholarly journals Numerical investigation of MHD stagnation-point flow and heat transfer of sodium alginate non-Newtonian nanofluid

2019 ◽  
Vol 8 (1) ◽  
pp. 179-192 ◽  
Author(s):  
Bhuvnesh Sharma ◽  
Sunil Kumar ◽  
M.K. Paswan
Keyword(s):  
Differential Equations ◽  
Mixed Convection ◽  
Sodium Alginate ◽  
Volume Fraction ◽  
Skin Friction Coefficient ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Analytical Approximations ◽  
Temperature Distributions ◽  
Homotopy Analysis

Abstract A rigorous analysis of unsteady magnetohydrodynamic mixed convection and electrically conducting nanofluid model with a stretching/shrinking wedge is presented. First, the governing partial differential equations for momentum and energy conservation are converted to coupled nonlinear ordinary differential equations by means of exact similarity transformation. The homotopy analysis method (HAM) is employed to obtain the analytical approximations for flow velocity and temperature distributions of alumina-sodium alginate naofluid. The solution is found to be dependent on some parameters including the nanoparticle volume fraction, unsteadiness parameter, magnetic parameter, mixed convection parameter and the generalized prandtl number. A systematic study is carried out to illustrate the effects of these parameters on the velocity and temperature distributions. Also, the value of skin friction coefficient and local Nusselt number are compared with copper-sodium alginate and titania-sodium alginate nanofluids.

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