Film flow of a nonlinear viscoelastic fluid along a conical rotor

1976 ◽  
Vol 31 (2) ◽  
pp. 896-899 ◽  
Author(s):  
N. Kh. Zinnatullin ◽  
I. V. Flegentov ◽  
F. M. Gimranov
2016 ◽  
Vol 32 (5) ◽  
pp. 643-651 ◽  
Author(s):  
C.-K. Chen ◽  
M.-C. Lin

AbstractThis paper investigates the weakly nonlinear stability of a thin axisymmetric viscoelastic fluid with hydromagnetic effects on coating flow. The governing equation is resolved using long-wave perturbation method as part of an initial value problem for spatial periodic surface waves with the Walter's liquid B type fluid. The most unstable linear mode of a film flow is determined by Ginzburg-Landau equation (GLE). The coefficients of the GLE are calculated numerically from the solution of the corresponding stability problem on coating flow. The effect of a viscoelastic fluid under an applied magnetic field on the nonlinear stability mechanism is studied in terms of the rotation number, Ro, viscoelastic parameter, k, and the Hartmann constant, m. Modeling results indicate that the Ro, k and m parameters strongly affect the film flow. Enhancing the magnetic effects is found to stabilize the film flow when the viscoelastic parameter destabilizes the one in a thin viscoelastic fluid.


2012 ◽  
Vol 75 (13) ◽  
pp. 5015-5026 ◽  
Author(s):  
Matthias Geissert ◽  
Dario Götz ◽  
Manuel Nesensohn

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 571-572 ◽  
Author(s):  
Stefan Descher ◽  
Olaf Wünsch

1987 ◽  
Vol 24 (1) ◽  
pp. 97-119 ◽  
Author(s):  
N. Phan-thien ◽  
F. Sugeng ◽  
R.I. Tanner

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