scholarly journals Computational unsteady flow analysis for third-grade fluid from an isothermal vertical cylinder through a Darcian porous medium

2019 ◽  
Vol 48 (7) ◽  
pp. 2752-2772
Author(s):  
Ashwini Hiremath ◽  
G. Janardhana Reddy ◽  
O. Anwar Bég
Keyword(s):  
Porous Medium ◽  
Unsteady Flow ◽  
Flow Analysis ◽  
Vertical Cylinder ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid ◽  
Unsteady Flow Analysis

scholarly journals Unsteady Solutions in a Third-Grade Fluid Filling the Porous Space

2008 ◽  
Vol 2008 ◽  
pp. 1-13 ◽  
Author(s):  
T. Hayat ◽  
H. Mambili-Mamboundou ◽  
F. M. Mahomed
Keyword(s):  
Porous Medium ◽  
Numerical Methods ◽  
Unsteady Flow ◽  
Flow Velocity ◽  
Third Grade ◽  
Porous Space ◽  
Third Grade Fluid ◽  
Flow Modelling ◽  
Grade Fluid ◽  
Modified Darcy’S Law

An analysis is made of the unsteady flow of a third-grade fluid in a porous medium. A modified Darcy's law is considered in the flow modelling. Reduction and solutions are obtained by employing similarity and numerical methods. The effects of pertinent parameters on the flow velocity are studied through graphs.

A Note on Oscillatory Flow of a Third Grade Fluid in a Porous Medium

2008 ◽  
Vol 11 (5) ◽  
pp. 467-473
Author(s):  
Tasawar Hayat ◽  
F. Shahzad ◽  
S. Asghar
Keyword(s):  
Porous Medium ◽  
Oscillatory Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

Poiseuille Flow of a Third Grade Fluid in a Porous Medium

2010 ◽  
Vol 87 (2) ◽  
pp. 355-366 ◽  
Author(s):  
T. Hayat ◽  
Rahila Naz ◽  
S. Abbasbandy
Keyword(s):  
Porous Medium ◽  
Poiseuille Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

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 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 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.

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