Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space

2008 ◽  
Vol 51 (17-18) ◽  
pp. 4528-4534 ◽  
Author(s):  
T. Hayat ◽  
T. Javed ◽  
Z. Abbas
Keyword(s):  
Heat Transfer ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Second Grade ◽  
Porous Space ◽  
Second Grade Fluid ◽  
Flow And Heat Transfer ◽  
Grade Fluid

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.

Numerical analysis of flow and heat transfer of a viscoelastic fluid over a stretching sheet

2011 ◽  
Vol 21 (2) ◽  
pp. 206-218 ◽  
Author(s):  
Maryam Momeni ◽  
Naghmeh Jamshidi ◽  
Amin Barari ◽  
Ganji Domairry
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Nonlinear Differential Equations ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Wide Range ◽  
Grade Fluid

PurposeThe purpose of this paper is to study the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel and employ the homotopy analysis method (HAM) to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem.Design/methodology/approachIn this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem.FindingsThe obtained solutions, in comparison with the exact solutions admit a remarkable accuracy.Originality/valueIn this paper, a study of the flow and heat transfer of an incompressible homogeneous second‐grade fluid past a stretching sheet channel is presented and the HAM is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. The paper shows the capabilities and wide‐range applications of the HAM in comparison with the numerical method in solving this problem. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy.

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.

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