scholarly journals Squeezed flow and heat transfer in a second grade fluid over a sensor surface

2014 ◽  
Vol 18 (2) ◽  
pp. 357-364 ◽  
Author(s):  
Tasawar Hayat ◽  
Majid Hussain ◽  
Sohail Nadeem ◽  
Saleem Obaidat
Keyword(s):  
Heat Transfer ◽  
Mathematical Formulation ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Squeezed Flow ◽  
Physical Quantities

An analysis has been carried out for the hydromagnetic flow and heat transfer over a horizontal surface located in an externally squeezed free stream. Mathematical formulation is developed by using constitutive equations of a second grade fluid. The resulting problems have been solved by a homotopy analysis method (HAM). In addition the skin friction coefficient and Nusselt number are tabulated. The physical quantities of interest are analyzed for various emerging parameters.

Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet

Open Physics ◽  
2010 ◽  
Vol 8 (1) ◽  
Author(s):  
Muhammad Ayub ◽  
Haider Zaman ◽  
Masud Ahmad
Keyword(s):  
Heat Transfer ◽  
Friction Coefficient ◽  
Velocity Field ◽  
Stretching Sheet ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Hydromagnetic Flow ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Grade Fluid

AbstractWe examine the problem of flow and heat transfer in a second grade fluid over a stretching sheet [K. Vajravelu, T. Roper, Int. J. Nonlinear Mech. 34, 1031 (1999)]. The equations considered by Vajravelu and Roper [K. Vajravelu, T. Roper, Int. J. Nonlinear Mech. 34, 1031 (1999)], are found to be incorrect in the literature. In this paper, we not only corrected the equation but found a useful analytic solution to this important problem. We also extended the problem for hydromagnetic flow and heat transfer with Hall effect. The explicit analytic homotopy solution for the velocity field and heat transfer are presented. Graphs for the velocity field, skin friction coefficient, and rate of heat transfer are presented. Tables for the skin friction coefficient and rate of heat transfer are also presented. The convergence of the solution is also properly checked and discussed.

Influence of Thermal Radiation on Blasius Flow of a Second Grade Fluid

2009 ◽  
Vol 64 (12) ◽  
pp. 827-833 ◽  
Author(s):  
Tasawar Hayat ◽  
Meraj Mustafa ◽  
Muhammad Sajid
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Homotopy Analysis ◽  
Two Dimensional Flow ◽  
Grade Fluid

This work describes the series solution of two-dimensional flow and heat transfer of a second grade fluid in the presence of radiation. The governing partial differential equations are reduced into ordinary differential equations by appropriate similarity tranformation. The series solutions of the resulting ordinary differential equations are obtained by using the homotopy analysis method (HAM). The convergence of the solution is discussed explicitly. The influence of pertinent parameters on the velocity and temperature is graphically displayed and discussed. Numerical values of the skin friction coefficient and the Nusselt number are also tabulated

Series solution for flow of a second-grade fluid in a divergent–convergent channel

2010 ◽  
Vol 88 (12) ◽  
pp. 911-917 ◽  
Author(s):  
T. Hayat ◽  
M. Nawaz ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Series Solution ◽  
Problem Formulation ◽  
Skin Friction Coefficient ◽  
Second Grade ◽  
Physical Parameters ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Convergent Channel ◽  
Homotopy Analysis ◽  
Grade Fluid

This study explores the flow of a second-grade fluid in divergent–convergent channel. The problem formulation is first developed, and then the corresponding nonlinear problem is solved by homotopy analysis method (HAM). The effects of different physical parameters on the velocity profile are shown. The numerical values of the skin friction coefficient for different values of parameters are tabulated.

Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Haider Zaman ◽  
Muhammad Ayub
Keyword(s):  
Heat Transfer ◽  
Hall Effect ◽  
Series Solution ◽  
Stretching Sheet ◽  
Second Grade ◽  
Hydromagnetic Flow ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Grade Fluid

AbstractIn this reply to comment on ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet” by R. A. Van Gorder and K. Vajravelu manuscript [R. A. Van Gorder, K. Vajravelu, Cent. Eur. J. Phys., DOI:10. 2478/s11534-009-0145-2], we once again claim that the governing similarity equations of Vajravelu and Roper [K. Vajravelu, T. Roper, Int. J. Nonlin. Mech. 34, 1031 (1999)] are incorrect and our claim in [M. Ayub, H. Zaman, M. Ahmad, Cent. Eur. J. Phys. 8, 135 (2010)] is true. For the literature providing justification regarding this issue is discussed in detail.

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