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.

Numerical Results of a Flow in a Third Grade Fluid between Two Porous Walls

2009 ◽  
Vol 64 (1-2) ◽  
pp. 59-64 ◽  
Author(s):  
Saeid Abbasbandy ◽  
Tasawar Hayat ◽  
Rahmat Ellahi ◽  
Saleem Asghar
Keyword(s):  
Numerical Solution ◽  
Homotopy Analysis Method ◽  
Series Solution ◽  
Material Parameter ◽  
Third Grade ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Porous Walls

Series solution for a steady flow of a third grade fluid between two porous walls is given by the homotopy analysis method (HAM). Comparison with the existing numerical solution is shown. It is found that, unlike the numerical solution, the present series solution holds for all values of the material parameter of a third grade fluid.

scholarly journals Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Zainal Abdul Aziz ◽  
Mojtaba Nazari ◽  
Faisal Salah ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Porous Medium ◽  
Analytic Solution ◽  
Third Grade ◽  
Approximate Analytic Solution ◽  
Rotating Frame ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Accelerated Flow

The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameterℏ, which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.

scholarly journals COUETTE FLOW PROBLEM FOR AN UNSTEADY MHD THIRD-GRADE FLUID WITH HALL CURRENTS

2014 ◽  
Vol 15 (2) ◽  
Author(s):  
Muhammad Azram ◽  
Haider Zaman
Keyword(s):  
Linear Problem ◽  
Flow Problem ◽  
Hartmann Number ◽  
Hall Current ◽  
Third Grade ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Hall Parameter ◽  
Homotopy Analysis ◽  
Grade Fluid

ABSTRACT: In this work, we analyze Coutte flow problem for an unsteady mangneto-hydrodynamic (MHD) third-grade fluid in the presence of a pressure gradient and Hall currnts. Existing literature on the topic shows that the effecs of Hall current on Coutte flow of an unsteady MHD third-grade fluid with a prssure gradient has not yet been investigated. The arising non-linear problem is solved by the homotopy analysis method (HAM) and the convergence of the obtained complex series solution is carefully analyzed. The effects of pressure number, Hartmann number and Hall parameter on unsteady velocity are discussed via analysis of plots. ABSTRAK: Kajian dijalan untuk menganalisa masalah aliran Coutte bagi bendalir MHD gred ketiga dan arus Hall. Bagi topik ini kesan arus Hall terhadap aliran Couette dalam bendalir MHD gred ketiga tak mantap dengan kecerunan tekanan, belum pernah dikaji selidik.  Masalah tak linear berbangkit diselesaikan dengan kaedah analisis homotopi (HAM) dan ketumpuan solusi rangkaian kompleks dianalisa dengan teliti. Kesan nilai tekanan, nombor Hartmann dan parameter Hall terhadap halaju tak mantap diperbincangkan melalui plot yang dianalisis.KEYWORDS: Cuette; flow; hall currents; unsteady; third-grade fluid; HAM 

Flow of a Third Grade Fluid between Coaxial Cylinders with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 588-596 ◽  
Author(s):  
Muhammad Y. Malik ◽  
Azad Hussain ◽  
Sohail Nadeem ◽  
Tasawar Hayat
Keyword(s):  
Variable Viscosity ◽  
Heat Transfer Analysis ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Coaxial Cylinders ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Dependent Viscosity

The influence of temperature dependent viscosity on the flow of a third grade fluid between two coaxial cylinders is carried out. The heat transfer analysis is further analyzed. Homotopy analysis method is employed in finding the series solutions. The effects of pertinent parameters have been explored by plotting graphs.

scholarly journals Global regularity for unsteady flow of third grade fluid in an annular region

2016 ◽  
Vol 40 ◽  
pp. 728-739
Author(s):  
Saeed ur RAHMAN ◽  
Tasawar HAYAT ◽  
Hamed H. ALSULAMI
Keyword(s):  
Unsteady Flow ◽  
Global Regularity ◽  
Annular Region ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals MHD Flow and Heat Transfer in a Channel Bounded by a Shrinking Sheet and a Porous Medium Bed: Homotopy Analysis Method

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Dileep Singh Chauhan ◽  
Rashmi Agrawal
Keyword(s):  
Porous Medium ◽  
Mhd Flow ◽  
Temperature Fields ◽  
Shrinking Sheet ◽  
Analysis Method ◽  
Governing Equations ◽  
Similarity Transformations ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Surface Similarity

MHD flow of viscous conducting fluid is considered between a shrinking sheet and a porous medium bed. Suction is applied at the upper shrinking sheet and its surface temperature is always maintained higher than the temperature of the lower porous bed surface. Similarity transformations and HAM are used to solve the governing equations for velocity and temperature fields. The effects of various pertinent parameters on the results are discussed graphically.

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