Stability of a thin viscous fluid film flowing down a rotating non-uniformly heated inclined plane

2010 ◽  
Vol 216 (1-4) ◽  
pp. 225-242 ◽  
Author(s):  
Asim Mukhopadhyay ◽  
Anandamoy Mukhopadhyay
2014 ◽  
Vol 684 ◽  
pp. 154-157
Author(s):  
Zheng Ren Wu ◽  
Guan Fu ◽  
Zhao Xia Song

The paper is devoted to a theoretical study of nonlinear wave on a free-surface thin film down an inclined uneven plane. The problem is quite different from that of a viscous films flow along a smooth surface. Thus nondimensional variables are introduced in two ways according to the different relationship of the shallow water parameter and the topography parameter. Further, the zero-order and first-order stream function are derivated on the basis of perturbation method. Finally, the equations which govern the surface height of surface wave on a viscous fluid film down an inclined uneven wall are obtained.


2009 ◽  
Vol 44 (2) ◽  
pp. 189-201
Author(s):  
E. I. Mogilevskii ◽  
V. Ya. Shkadov

2011 ◽  
Vol 71 (4) ◽  
pp. 393-408 ◽  
Author(s):  
J. M. Foster ◽  
C. P. Please ◽  
A. D. Fitt

Soft Matter ◽  
2016 ◽  
Vol 12 (2) ◽  
pp. 441-459 ◽  
Author(s):  
Christopher Monahan ◽  
Ali Naji ◽  
Ronald Horgan ◽  
Bing-Sui Lu ◽  
Rudolf Podgornik

Thermal hydrodynamic fluctuations in a classical, compressible, viscous fluid film give rise to fluctuation-induced forces between the no-slip fluid boundaries, whose average value is zero but their correlators are finite and represent a “secondary Casimir effect” in the hydrodynamic context.


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