scholarly journals Multiple solutions for hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet

2011 ◽  
Vol 69 (3) ◽  
pp. 405-424 ◽  
Author(s):  
Robert A. Van Gorder ◽  
K. Vajravelu
Keyword(s):  
Multiple Solutions ◽  
Second Grade ◽  
Shrinking Sheet ◽  
Hydromagnetic Flow ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Stretching Or Shrinking Sheet

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.

Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

2009 ◽  
Vol 30 (10) ◽  
pp. 1255-1262 ◽  
Author(s):  
S. Nadeem ◽  
Anwar Hussain ◽  
M. Y. Malik ◽  
T. Hayat
Keyword(s):  
Second Grade ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Second Grade Fluid ◽  
Stagnation Flow ◽  
Grade Fluid

On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid Over a Shrinking Sheet

2007 ◽  
Vol 74 (6) ◽  
pp. 1165-1171 ◽  
Author(s):  
T. Hayat ◽  
Z. Abbas ◽  
M. Sajid
Keyword(s):  
Series Solution ◽  
Analytic Solution ◽  
Second Grade ◽  
Shrinking Sheet ◽  
Series Solutions ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Layer Flow

In this study, we derive an analytical solution describing the magnetohydrodynamic boundary layer flow of a second grade fluid over a shrinking sheet. Both exact and series solutions have been determined. For the series solution, the governing nonlinear problem is solved using the homotopy analysis method. The convergence of the obtained solution is analyzed explicitly. Graphical results have been presented and discussed for the pertinent parameters.

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