Lie group analysis of creeping flow of a second grade fluid

2001 ◽  
Vol 36 (6) ◽  
pp. 955-960 ◽  
Author(s):  
M. Yürüsoy ◽  
M. Pakdemirli ◽  
Ö.F. Noyan
Keyword(s):  
Lie Group ◽  
Group Analysis ◽  
Creeping Flow ◽  
Second Grade ◽  
Lie Group Analysis ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals Creeping flow of a second grade fluid in a corner

2011 ◽  
Vol 35 (2) ◽  
pp. 621-636
Author(s):  
A.M. Siddiqui ◽  
Akhlaq Ahmad ◽  
Naseer Ahmed
Keyword(s):  
Creeping Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals A Lie group integrator to solve the hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet

2021 ◽  
Vol 6 (12) ◽  
pp. 13392-13406
Author(s):  
Mir Sajjad Hashemi ◽  
◽  
Hadi Rezazadeh ◽  
Hassan Almusawa ◽  
Hijaz Ahmad ◽  
...  
Keyword(s):  
Stagnation Point ◽  
Lie Group ◽  
Stretching Sheet ◽  
Geometric Approach ◽  
Stagnation Point Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Viscoelastic Parameter ◽  
Initial Values ◽  
Grade Fluid

<abstract><p>In the present paper, a Lie-group integrator, based on $ GL(4, \mathbb{R}) $ has been newly constructed to consider the flow characteristics in an electrically conducting second grade fluid over a stretching sheet. Present method which have a very fast convergence, permits us to explore some missing initial values at the left-end. Accurate initial values can be achieved when the determined target equation is valid, and then we can apply the group preserving scheme (GPS) as a geometric approach to obtain a rather accurate numerical solution. Finally, effects of magnetic parameter, viscoelastic parameter, stagnation point flow and stretching of the sheet parameters are illustrated.</p></abstract>

SECOND‐GRADE FLUID FLOW WITH POWER‐LAW HEAT FLUX AND A HEAT SOURCE

2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Heat Source ◽  
Power Law ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Power Law Heat Flux
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