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.

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.

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.

Three dimensional flow of an Oldroyd-B fluid with Newtonian heating

2015 ◽  
Vol 25 (1) ◽  
pp. 68-85 ◽  
Author(s):  
M. Ramzan ◽  
M. Farooq ◽  
M. S. Alhothuali ◽  
H. M. Malaikah ◽  
W. Cui ◽  
...  
Keyword(s):  
Temperature Profile ◽  
Design Methodology ◽  
Three Dimensional ◽  
Series Solutions ◽  
Analysis Method ◽  
Newtonian Heating ◽  
Three Dimensional Flow ◽  
Content Type ◽  
Homotopy Analysis ◽  
Layer Flow

Purpose – The purpose of this paper is to analyze the boundary layer flow of an Oldroyd-B fluid with Newtonian heating. Design/methodology/approach – Series solutions are found by homotopy analysis method. Findings – Temperature profile increases with an increase in conjugate parameter. Increase in parameter β and Prandtl number Pr decreases the temperature profile. Originality/value – This work does not currently exist in the literature.

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 Three-dimensional boundary layer flow of nanofluids due to an unsteady stretching surface

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
A. Mahdy
Keyword(s):  
Differential Equations ◽  
Three Dimensional ◽  
Continuous Phase ◽  
Temperature Fields ◽  
Flow And Heat Transfer ◽  
Dimensional Boundary ◽  
Unsteady Stretching Surface ◽  
Layer Flow ◽  
Solid Liquid ◽  
Stretching Flow

A numerical solution has been obtained for the unsteady three-dimensional stretching flow and heat transfer due to uncertainties of thermal conductivity and dynamic viscosity of nanofluids. The term of nanofluid refers to a solid–liquid mixture with a continuous phase which is a nanometer sized nanoparticle dispersed in conventional base fluids. The unsteadiness in the flow and temperature fields is caused by the time-dependent of the stretching velocity and the surface temperature.  Different water-based nanofluids containing Cu, Ag, and TiO2 are taken into consideration. The governing partial differential equations with the auxiliary conditions are converted to ordinary differential equations with the appropriate corresponding conditions via scaling transformations. Comparison with known results for steady state flow is presented and it found to be in excellent agreement.

Nonlinear Stretching Flow with Thermal Radiation

2010 ◽  
Vol 65 (10) ◽  
pp. 761-770
Author(s):  
Tasawar Hayat ◽  
Rabia Noureen ◽  
Tariq Javed
Keyword(s):  
Radiation Effects ◽  
Temperature Fields ◽  
Porous Space ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Homotopy Analysis ◽  
Layer Flow ◽  
Rotating Boundary ◽  
Nonlinear Stretching ◽  
Stretching Flow

This work concerns with the radiation effects on rotating boundary layer flow of an electrically conducting incompressible fluid over a nonlinear stretching surface. The viscous fluid fills the porous space. The flow is permeated by a constant magnetic field applied in the transverse direction. Two types of temperatures are prescribed to the surface. The resulting problems of velocity and temperature are obtained using the homotopy analysis method (HAM). Convergence of the developed series solutions is carefully checked. Graphical results of the velocity and temperature fields for various values of the parameters of the problems are presented and discussed.

Magnetohydrodynamic Three-Dimensional Flowof a Second-Grade Fluid with Heat Transfer

2010 ◽  
Vol 65 (8-9) ◽  
pp. 683-691 ◽  
Author(s):  
Tasawar Hayat ◽  
Muhammad Nawaz
Keyword(s):  
Heat Transfer ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Homotopy Analysis ◽  
Ion Slip ◽  
Grade Fluid ◽  
Layer Flow

An analysis has been carried out for the heat transfer on steady boundary layer flow of a secondgrade fluid bounded by a stretching sheet. The magnetohydrodynamic nature of the fluid is considered in the presence of Hall and ion-slip currents. The nonlinear mathematical problem is computed by a powerful tool, namely, the homotopy analysis method (HAM). A comparative study between the present and existing limiting results is carefully made. Convergence regarding the obtained solution is discussed. Skin friction coefficients and Nusselt number are analyzed. Effects of embedded parameters on the dimensionless velocities and temperature are examined

Soret and Dufour Effects on the Unsteady Mixed Convection Flow Over a Stretching Surface

2013 ◽  
Vol 29 (4) ◽  
pp. 623-632 ◽  
Author(s):  
F. E. Alsaadi ◽  
S. A. Shehzad ◽  
T. Hayat ◽  
S. J. Monaquel
Keyword(s):  
Mixed Convection ◽  
Second Grade ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Analysis Method ◽  
Stretching Surface ◽  
Soret And Dufour Effects ◽  
Unsteady Mixed Convection ◽  
Homotopy Analysis ◽  
Grade Fluid

ABSTRACTMixed convection flow of second grade fluid bounded by a permeable stretching surface is discussed. Soret and Dufour effects are also present. Series solutions for the resulting problems are made using homotopy analysis method (HAM). Analysis has been carried out for the effects of embedded parameters on the velocity, temperature and concentration fields. Numerical values of Nusselt and Sherwood numbers are computed and discussed.

MHD Flow of an Oldroyd-B Fluid Through a Porous Channel

2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Ali Shehzad ◽  
Meraj Mustafa ◽  
Awatif Hendi
Keyword(s):  
Analytic Solution ◽  
Mhd Flow ◽  
Maxwell Fluid ◽  
Porous Channel ◽  
Analysis Method ◽  
Similarity Transformations ◽  
Flow Parameters ◽  
Number Comparison ◽  
Homotopy Analysis ◽  
Layer Flow

This paper discusses the hydromagnetic boundary layer flow of an Oldroyd-B fluid in a porous channel. Both suction and injection (blowing) cases are considered. Appropriate similarity transformations are invoked to convert the partial differential equations into ordinary ones. Homotopy analysis method (HAM) is used for the presentation of analytic solution of the nonlinear differential system. Graphical results provide the salient features of the embedded flow parameters which include the Reynolds number, the Deborah numbers, and the Hartman number. Comparison between the existing numerical solution in a Maxwell fluid and present deduced series solution in a limiting sense is excellent.

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