The stability of the flow of a layer of a viscous liquid with moment stresses along an inclined plane

1978 ◽  
Vol 12 (5) ◽  
pp. 764-766
Author(s):  
V. T. Morozov
Author(s):  
A. S. Gupta ◽  
Lajpat Rai

AbstractAn analysis is made of the stability of a layer of an elastico-viscous liquid flowing down an inclined plane in the presence of two-dimensional disturbances. The modified Orr-Sommerfeld equation is solved by a regular perturbation technique for disturbances of large wavelengths. It is shown that in the absence of surface tension, the layer is more unstable as compared with that for an ordinary viscous liquid if Q1 > Q2, Q1 and Q2 being stress relaxation and strain retardation parameters respectively.


Author(s):  
A. J. Willson

AbstractConsideration is given to the flow of a micropolar liquid down an inclined plane. The steady state is analysed and Yih's technique is employed in an investigation of the stability of this flow with respect to long waves. Detailed calculations are given for thin films and it is shown that the micropolar properties of the liquid play an important role in the stability criterion.


2002 ◽  
Vol 59 (3) ◽  
pp. 370-376 ◽  
Author(s):  
P Aussillous ◽  
D Quéré

1968 ◽  
Vol 3 (2) ◽  
pp. 16-20
Author(s):  
Nguen Van Diep ◽  
A. T. Listrov

1974 ◽  
Vol 96 (1) ◽  
pp. 71-78 ◽  
Author(s):  
V. K. Dhir ◽  
J. H. Lienhard

The stability of a gas jet in a surrounding viscous liquid is studied. An expression is developed for the critical velocity at which the jet becomes unstable in a returning viscous liquid. The stability analysis is made to correspond with the geometrical configuration of gas jets and liquid columns similar to those observed near the peak pool boiling heat flux. The critical velocity of the gas jet is then used to obtain the functional form of the peak heat flux on flat plates and cylindrical heaters. The expressions are compared with original observations of the peak heat flux in very viscous liquids on flat plate, and cylindrical, heaters at both earth-normal, and elevated, gravities.


1965 ◽  
Vol 21 (4) ◽  
pp. 635-640 ◽  
Author(s):  
Subhendu K. Datta

The stability of a viscous liquid between two concentric rotating cylinders with an axial flow has been investigated. Attention has been confined to the case when the cylinders are rotating in the same direction, the gap between the cylinders is small and the axial flow is small. A perturbation theory valid in the limit when the axial Reynolds number R → 0 has been developed and corrections have been obtained for Chandrasekhar's earlier results.


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