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.

Hydromagnetic Flow and Heat Transfer of a Jeffrey Fluid over an Oscillatory Stretching Surface

2015 ◽  
Vol 70 (7) ◽  
pp. 567-576 ◽  
Author(s):  
Nasir Ali ◽  
Sami Ullah Khan ◽  
Zaheer Abbas
Keyword(s):  
Heat Transfer ◽  
Physical Space ◽  
Jeffrey Fluid ◽  
Computational Domain ◽  
Analysis Method ◽  
Governing Equations ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Oscillatory Stretching Surface ◽  
Oscillatory Stretching Sheet

AbstractThe flow and heat transfer of a Jeffrey fluid over an oscillatory stretching sheet is investigated using the boundary-layer approximations. The flow is induced due to infinite elastic sheet that is stretched periodically. The number of independent variables in the governing equations was reduced by using appropriate dimensionless variables. This dimensionless system has been solved by using the homotopy analysis method (HAM) and a finite difference scheme, in which a coordinate transformation was used to transform the semi-infinite physical space to a bounded computational domain. A comparison of both solutions is provided. The effects of involved parameters are illustrated through graphs and discussed in detail.

Mixed Convection Three-Dimensional Flow of an Upper-Convected Maxwell Fluid Under Magnetic Field, Thermal-Diffusion, and Diffusion-Thermo Effects

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
T. Hayat ◽  
M. Awais ◽  
S. Obaidat
Keyword(s):  
Mixed Convection ◽  
Three Dimensional ◽  
Maxwell Fluid ◽  
Temperature Fields ◽  
Analysis Method ◽  
Soret And Dufour Effects ◽  
Homotopy Analysis ◽  
Dimensional Boundary ◽  
Layer Flow ◽  
And Diffusion

This paper discusses the mixed convection three-dimensional boundary layer flow of upper-convected Maxwell fluid over a stretching surface. Magnetohydrodynamic (MHD) combined with Soret and Dufour effects are also taken into account. The governing problems are first modeled and then solved by a homotopy analysis method (HAM). The variations of several parameters of interest on the velocity, concentration, and temperature fields are analyzed by the presentation of graphs. Several known results have been pointed out as the particular cases of the present analysis.

Influence of chemically radiative nanoparticles on flow of Maxwell electrically conducting fluid over a convectively heated exponential stretching sheet

2019 ◽  
Vol 16 (6) ◽  
pp. 791-805
Author(s):  
Atul Kumar Ray ◽  
Vasu B.
Keyword(s):  
Stretching Sheet ◽  
Volume Fraction ◽  
Maxwell Fluid ◽  
Nanoparticle Volume Fraction ◽  
Analysis Method ◽  
Content Type ◽  
Electrically Conducting ◽  
Exponential Stretching ◽  
Homotopy Analysis ◽  
Exponential Stretching Sheet

Purpose This paper aims to examine the influence of radiative nanoparticles on incompressible electrically conducting upper convected Maxwell fluid (rate type fluid) flow over a convectively heated exponential stretching sheet with suction/injection in the presence of heat source taking chemical reaction into account. Also, a comparison of the flow behavior of Newtonian and Maxwell fluid containing nanoparticles under the effect of different thermophysical parameters is elaborated. Velocity, temperature and nanoparticle volume fractions are assumed to have exponential distribution at boundary. Buongiorno model is considered for nanofluid transport. Design/methodology/approach The equations, which govern the flow, are reduced to ordinary differential equations using suitable transformation. The transformed equations are solved using a robust homotopy analysis method. The convergence of the homotopy series solution is explicitly discussed. The present results are compared with the results reported in the literature and are found to be in good agreement. Findings It is observed from the present study that larger relaxation time leads to slower recovery, which results in a decrease in velocity, whereas temperature and nanoparticle volume fraction is increased. Maxwell nanofluid has lower velocity with higher temperature and nanoparticle volume fraction when compared with Newtonian counterpart. Also, the presence of magnetic field leads to decrease the velocity of the nanofluid and enhances the skin coefficient friction. The existence of thermal radiation and heat source enhance the temperature. Further, the presence of chemical reaction leads to decrease in nanoparticle volume fraction. Higher value of Deborah number results in lower the rate of heat and mass transfer. Originality/value The novelty of present work lies in understanding the impact of fluid elasticity and radiative nanoparticles on the flow over convectively heated exponentially boundary surface in the presence of a magnetic field using homotopy analysis method. The current results may help in designing electronic and industrial applicants. The present outputs have not been considered elsewhere.

Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet

2010 ◽  
Vol 65 (6-7) ◽  
pp. 540-548 ◽  
Author(s):  
Sohail Nadeem ◽  
Anwar Hussain ◽  
Majid K
Keyword(s):  
Jeffrey Fluid ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Analysis Method ◽  
Governing Equations ◽  
Stagnation Flow ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Layer Flow ◽  
Equations Of Motions

January 22, 2009 The present paper describes the analytical solutions for the steady boundary layer flow of a Jeffrey fluid over a shrinking sheet. The governing equations of motions are reduced into a set of nonlinear ordinary differential equations by using similarity transformations. Two types of problems, namely, (1) two-dimensional stagnation flow towards a shrinking sheet and (2) axisymmetric stagnation flow towards an axisymmetric shrinking sheet, have been discussed. The series solutions of the problems are obtained by using the homotopy analysis method (HAM). The convergence of the obtained series solutions are analyzed and discussed in detail through graphs for various parameters of interest.

Nonlinear study of heat transfer in nanofluid saturated horizontal porous medium

2017 ◽  
Vol 3 (01) ◽  
Author(s):  
Alok Srivastava ◽  
Vineet Kumar ◽  
B. S. Bhadauria ◽  
I. Hashimt
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Landau Equation ◽  
High Accuracy ◽  
Analysis Method ◽  
Nonlinear Stability Analysis ◽  
Governing Equations ◽  
Ginzburg Landau ◽  
Homotopy Analysis ◽  
Saturated Porous Layer

The present paper deals with weak nonlinear stability analysis of heat transfer in a nanofluid saturated porous layer. We consider a set of new boundary conditions for the nanoparticle fraction, which is physically more realistic. The new boundary condition is based on the assumption that the nanoparticle fraction adjusts itself so that the nanoparticle flux is zero on the boundaries. We use Darcy model that incorporates the effects of Brownian motion and thermophoresis. The governing equations has been reduced to Ginzburg-Landau equation and solved by homotopy analysis method (HAM). The obtained results have been compared with the numerical results obtained by Mathematica NDSolve. The results are valid for the feasible domain with high accuracy. Thermal Nusselt number and Nanoparticle Nusselt number are calculated for different values of parameters. The results have been depicted graphically.

Mixed Convection Radiative Flow of Maxwell Fluid Near a Stagnation Point with Convective Condition

2013 ◽  
Vol 29 (3) ◽  
pp. 403-409 ◽  
Author(s):  
T. Hayat ◽  
M. Waqas ◽  
S. A. Shehzad ◽  
A. Alsaedi
Keyword(s):  
Mathematical Modeling ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Maxwell Fluid ◽  
Convective Boundary Conditions ◽  
Analysis Method ◽  
Convective Condition ◽  
Convective Boundary ◽  
Homotopy Analysis

AbstractEffects of thermal radiation in mixed convection stagnation point flow over a moving surface subject to convective boundary conditions is addressed. Mathematical modeling is based upon constitutive equations of an incompressible Maxwell fluid. Nonlinear analysis is presented through implementation of homotopy analysis method. Numerical values of Local Nusselt number is computed and analyzed.

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.

Unsteady Flow of Third Grade Fluid With Soret and Dufour Effects

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
T. Hayat ◽  
M. Awais ◽  
S. Asghar ◽  
S. Obaidat
Keyword(s):  
Unsteady Flow ◽  
Temperature Fields ◽  
Third Grade ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Soret And Dufour Effects ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Homotopy Analysis ◽  
Grade Fluid

Unsteady flow of a third grade fluid in the presence of Soret and Dufour effects is considered. Employing similarity transformations, the governing equation for the velocity, concentration, and temperature fields is presented. The computations for the corresponding problems are performed by using a homotopy analysis method (HAM). The associated behavior of the flow parameters is discussed and important conclusions have been pointed out.

scholarly journals Analytical solution of Velocities and Temperature fields using Homotopy Analysis Method

2021 ◽  
Vol 12 (1S) ◽  
pp. 691-700
Author(s):  
Dr. K.V.Tamil Selvi , Et. al.
Keyword(s):  
Partial Differential Equations ◽  
Analytical Solution ◽  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Nonlinear Differential Equations ◽  
Temperature Fields ◽  
Analysis Method ◽  
Partial Differential ◽  
Convective Boundary ◽  
Homotopy Analysis

In this paper, analysis of nonlinear partial differential equations on velocities and temperature with convective boundary conditions are investigated. The governing partial differential equations are transformed into ordinary differential equations by applying similarity transformations. The system of nonlinear differential equations are solved using Homotopy Analysis Method (HAM). An analytical solution is obtained for the values of Magnetic parameter M2, Prandtl number Pr, Porosity parameter

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