Soret and Dufour Effects on the Stagnation-Point Flow of a Micropolar Fluid Toward a Stretching Sheet

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
T. Hayat ◽  
M. Mustafa ◽  
S. Obaidat
Keyword(s):  
Mass Transfer ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Physical Parameters ◽  
Analysis Method ◽  
Soret And Dufour Effects ◽  
Homotopy Analysis ◽  
Incompressible Micropolar Fluid

This communication reports the heat and mass transfer analysis in the stagnation-point flow toward a stretching sheet. An incompressible micropolar fluid takes into account the diffusion-thermo- (Dufour) and thermal-diffusion (Soret) effects. The arising nonlinear differential system is solved by homotopy analysis method. Convergence of the obtained homotopy solutions is clearly justified. Special emphasis has been given to various physical parameters through graphs and tables. It is noticed that fields are influenced appreciably with the variation of embedding parameters. A comparison of the present results with the existing numerical solution is discussed in a limiting sense.

scholarly journals Flow of an Erying-Powell fluid over a stretching sheet in presence of chemical reaction

2016 ◽  
Vol 20 (6) ◽  
pp. 1903-1912 ◽  
Author(s):  
Ilyas Khan ◽  
Muhammad Qasim ◽  
Sharidan Shafie
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Similarity Transformation ◽  
Integration Scheme ◽  
Physical Parameters ◽  
Analysis Method ◽  
Stretching Surface ◽  
Shooting Technique ◽  
Homotopy Analysis

In this paper we study the flow of an incompressible Erying-Powell fluid bounded by a linear stretching surface. The mass transfer analysis in the presence of destructive /generative chemical reactions is also analyzed. A similarity transformation is used to transform the governing partial differential equations into ordinary differential equations. Computations for dimensionless velocity and concentration fields are performed by an efficient approach namely the homotopy analysis method (HAM) and numerical solution is obtained by shooting technique along with Runge-Kutta-Fehlberg integration scheme. Graphical results are prepared to illustrate the details of flow and mass transfer characteristics and their dependence upon the physical parameters. The values for gradient of mass transfer are also evaluated and analyzed. A comparison of the present solutions with published results in the literature is performed and the results are found to be in excellent agreement.

Stagnation Point Flow and Heat Transfer of a Magneto-Micropolar Fluid Towards a Shrinking Sheet with Mass Transfer and Chemical Reaction

2013 ◽  
Vol 29 (3) ◽  
pp. 411-422 ◽  
Author(s):  
K. Batool ◽  
M. Ashraf
Keyword(s):  
Mass Transfer ◽  
Stagnation Point ◽  
Chemical Reaction ◽  
Micropolar Fluid ◽  
Transverse Magnetic ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Physical Parameters ◽  
Heat Equations ◽  
Transfer Characteristics

AbstractA comprehensive study of MHD two dimensional stagnation point flow with heat and mass transfer characteristics towards a heated shrinking sheet immersed in an electrically conducting incompressible micropolar fluid in the presence of a transverse magnetic field is analyzed numerically. The governing continuity, momentum, angular momentum, mass concentration and heat equations together with the associated boundary conditions are first reduced to a set of self similar nonlinear ordinary differential equations using a similarity transformation and are then solved by a method based on finite difference discretization. Some important features of the flow, heat & mass transfer characteristics and chemical reaction for different values of the physical parameters are analyzed, discussed and presented through tables and graphs. The study may be beneficial in the flow and heat control of polymeric processing.

Stagnation point flow of a micropolar fluid towards a stretching sheet

2004 ◽  
Vol 39 (7) ◽  
pp. 1227-1235 ◽  
Author(s):  
Roslinda Nazar ◽  
Norsarahaida Amin ◽  
Diana Filip ◽  
Ioan Pop
Keyword(s):  
Stagnation Point ◽  
Micropolar Fluid ◽  
Stretching Sheet ◽  
Stagnation Point Flow

scholarly journals Shape Effect of Nanosize Particles on Magnetohydrodynamic Nanofluid Flow and Heat Transfer over a Stretching Sheet with Entropy Generation

Entropy ◽  
2020 ◽  
Vol 22 (10) ◽  
pp. 1171
Author(s):  
Umair Rashid ◽  
Dumitru Baleanu ◽  
Azhar Iqbal ◽  
Muhammd Abbas
Keyword(s):  
Heat Transfer ◽  
Entropy Generation ◽  
Stretching Sheet ◽  
Graphical Form ◽  
Physical Parameters ◽  
Shape Effect ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis

Magnetohydrodynamic nanofluid technologies are emerging in several areas including pharmacology, medicine and lubrication (smart tribology). The present study discusses the heat transfer and entropy generation of magnetohydrodynamic (MHD) Ag-water nanofluid flow over a stretching sheet with the effect of nanoparticles shape. Three different geometries of nanoparticles—sphere, blade and lamina—are considered. The problem is modeled in the form of momentum, energy and entropy equations. The homotopy analysis method (HAM) is used to find the analytical solution of momentum, energy and entropy equations. The variations of velocity profile, temperature profile, Nusselt number and entropy generation with the influences of physical parameters are discussed in graphical form. The results show that the performance of lamina-shaped nanoparticles is better in temperature distribution, heat transfer and enhancement of the entropy generation.

Thermal Radiation and Heat Source Effects on MHD Non-Newtonian Fluid Flow over a Slandering Stretching Sheet with Cross-Diffusion

2018 ◽  
Vol 388 ◽  
pp. 28-38
Author(s):  
Prathi Vijaya Kumar ◽  
S. Mohammed Ibrahim ◽  
Giulio Lorenzini
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Stretching Sheet ◽  
Analysis Method ◽  
Transfer Rates ◽  
Williamson Fluid ◽  
Source Effects ◽  
Cross Diffusion ◽  
Homotopy Analysis

Magnetohydrodynamic non-Newtonian fluid flow over a stretching sheet with intermittent thickness under multifarious slips is appraised. Williamson fluid pattern is incorporated in this discussion. The energy and concentration equations are confederated with the repercussion of Soret and Dufour. We endorsed homotopy analysis method (HAM) to collocate the solutions of ODE. The graphical and tabular results for velocity, temperature, concentration, friction factor, heat and mass transfer rates when (Newtonian fluid) and (non-Newtonian fluid-Williamson fluid) are secured and discussed in detail.

scholarly journals Stagnation-Point Flow and Heat Transfer over a Nonlinearly Stretching/Shrinking Sheet in a Micropolar Fluid

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Khairy Zaimi ◽  
Anuar Ishak
Keyword(s):  
Heat Transfer ◽  
Stagnation Point ◽  
Micropolar Fluid ◽  
Material Parameter ◽  
Limited Range ◽  
Skin Friction Coefficient ◽  
Stagnation Point Flow ◽  
Shrinking Sheet ◽  
Flow And Heat Transfer ◽  
Incompressible Micropolar Fluid

This paper considers the problem of a steady two-dimensional stagnation-point flow and heat transfer of an incompressible micropolar fluid over a nonlinearly stretching/shrinking sheet. A similarity transformation is employed to convert the partial differential equations into nonlinear ordinary ones which are then solved numerically using a shooting method. Numerical results obtained are presented graphically, showing the effects of the micropolar or material parameter and the stretching/shrinking parameter on the flow field and heat transfer characteristics. The dual solutions are found to exist in a limited range of the stretching/shrinking parameter for the shrinking case, while unique solutions are possible for all positive values of the stretching/shrinking parameter (stretching case). It is also observed that the skin friction coefficient and the magnitude of the local Nusselt number increase as the material parameter increases.

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