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Sunday, October 11, 2020 | History

2 edition of On the non-linear stability of a liquid film flowing down an inclined plane found in the catalog.

On the non-linear stability of a liquid film flowing down an inclined plane

BjГёrn Gjevik

On the non-linear stability of a liquid film flowing down an inclined plane

by BjГёrn Gjevik

  • 141 Want to read
  • 14 Currently reading

Published by Universitetet i Oslo, Matematisk institutt in Oslo .
Written in English

    Subjects:
  • Fluid dynamics.,
  • Liquid films.

  • Edition Notes

    Bibliography: leaf 20.

    Statement[by] B. Gjevik.
    SeriesUniversity of Oslo. Institute of Mathematics. Reprint series. Applied mathematics,, 5
    Classifications
    LC ClassificationsQA927 .G55
    The Physical Object
    Pagination20 l.
    Number of Pages20
    ID Numbers
    Open LibraryOL5744651M
    LC Control Number70886205

    Linear stability of an active fluid interface — Monash University. V. Shankar and Akhilesh K Sahu, Suppression of instability in liquid flow down an inclined plane by a deformable solid layer, Physical Review E, 73, - (). Download PDF V. Shankar, Stability of two-layer viscoelastic plane Couette flow past a deformable solid layer: Implications of fluid viscoscity stratification, Journal.

    () BEM solution of thin film flows on an inclined plane with a bottom outlet. Engineering Analysis with Boundary Elements , () Non-linear higher-order boundary value problems describing thin viscous flows near edges. () Effect of an electric field on film flow down a corrugated wall at zero Reynolds number. Physics of Fluids , () A thin conducting viscous film on an inclined plane in the presence of a uniform normal electric field: Bifurcation scenarios.

    vesy No Comments on The Generation and Evolution of Nonlinear Internal Waves in Large-scale nonlinear evolution of parametrically excited Marangoni.   (9) An important feature of this equation is 2 ouw and that both approach zero simultaneously. This is the basic difference between surface waves on a film flowing down a plate and ordinary capillary waves. The undamped nature of waves on a film of viscous liquid flowing down the plate also differentiates them from the ususal capillary waves.


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On the non-linear stability of a liquid film flowing down an inclined plane by BjГёrn Gjevik Download PDF EPUB FB2

On the non-linear stability of a liquid film flowing down an inclined plane. Gjevik, B. Research report. View/ Open. pdf (Kb) Year On the non-linear stability of a liquid film flowing down an inclined plane. Gjevik, B. Research report. View/ Open. pdf (Kb) Year Permanent linkAuthor: B.

Gjevik. Nonlinear stability of viscous film flowing down an inclined plane with linear temperature variation Article (PDF Available) in Journal of Physics D Applied Physics 40(18) August with.

The non-linear stability of nano-liquid film (NLF) flowing down an inclined plane is investigated. Long wave instability of the uniform film is studied by deriving an evolution equation for two-dimensional by: 5. The stability of a conducting viscous film flowing down an inclined plane at moderate Reynolds number in the presence of electromagnetic field is investigated under induction-free approximation.

Using momentum integral method a non-linear evolution equation for the development of the free surface is by: The stability analysis is presented for a film of a viscous, electrically conducting liquid flowing down an inclined plane in the presence of a magnetic field applied perpendicular to the plane.

A liquid film flowing down an inclined heated plane subject to surface wave and thermocapillary instabilities is studied. Three mechanisms exist by which energy can be transferred to the disturbance.

This paper studies the non-linear stability of liquid film flows with viscosity variation depending expo- nentially on temperature on a valid-for-long-waves basis. Effects of surface tension and perturbations of the viscosity are also included.

THE NON-LINEAR KINEMATIC EQUATION Consider a liquid film flow down an inclined plane as shown in Fig. Weakly nonlinear stability analysis of thin power-law liquid film flowing down an inclined plane including the phase change effects at the interface has been investigated.

A normal mode approach and the method of multiple scales are employed to carry out the linear stability solution and the nonlinear stability solution for the film flow system. Non-linear stability analysis of film flow down a heated or cooled inclined plane with viscosity variation Analyse de stabilite non lineaire d'un film tombant sur un plan incline chauffe ou refroidi, avec variation de viscosite Untersuchung der stabilität von filmströmungen entlang einer beheizten oder gekühlten, geneigten platte mit hilfe von nichtlinearen beziehungen und variation der.

A non-linear evolution equation is derived by applying the long-wave theory and the equation governs the evolution of a power-law film flowing down an inclined plane.

The linear stability analysis shows that the film flow system is stable when the plate temperature is decreasing in the downstream direction while it is less stable for increasing.

Previous chapter in book; a closed form solution to the problem of non-linear stability of a liquid layer flowing down an inclined plane. It was shown that in the neighborhood of the neutral curve obtained by Benjamin [3] and Yih [4], an exponentially growing initially infinitesimal disturbance may develop into a supercritically stable wave.

Mukhopadhyay and A. Mukhopadhyay, “ Stability of conducting viscous film flowing down an inclined plane with linear temperature variation in the presence of a uniform normal electric field,” Int.

Heat Mass Trans – (). Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all “ Instability of a liquid film flowing down an inclined plane,” Phys. Flu “ Effect of surfactant on the stability of film flow down an inclined plane.

Weng, “ Non-linear stability analysis of film flow down a heated or cooled inclined plane with viscosity variation,” Int. Heat Mass Trans – (). Weng, “ Non-linear stability analysis of film flow down a heated or cooled inclined plane with viscosity variation,” Int.

Heat Mass Trans (). Google Scholar Instabilities of Thin Viscous Liquid Film Flowing down a Uniformly Heated Inclined Plane are used to obtain the linear and weakly nonlinear stability solution for the film flow. The linear. This work concentrates on the stability of a viscous liquid rivulet positioned across an inclined plane under partial wetting conditions.

substr52 and for a film flowing down a slightly. A study of optimal temporal and spatial disturbance growths is carried out for three-dimensional viscous incompressible fluid flows with slippery walls. The non-modal temporal stability. The Stability and Flow of a Rivulet Driven by Interfacial Shear and Gravity,” Int.

Non-Linear Mech. 39, pp. – Crossref. Search ADS Yih, C. -S.,“ Stability of Liquid Flow Down an Inclined Plane,” Phys. Fluids. Film Flow Down Vertical and Inclined Microstructured Heated Walls: Hydrodynamics, Heat. A thin liquid layer of a non-Newtonian film falling down an inclined plane that is subjected to nonuniform heating has been considered.

The temperature of the inclined plane is assumed to be linearly distributed and the case when the temperature gradient is positive or negative is investigated.

Stability Analysis of Hydrodynamic Lubrication of a Liquid. Linear stability of an active fluid interface — Monash University. The stability of thin electrically conducting viscoelastic fluid film flowing down on a non-conducting inclined plane in the presence of electromagnetic field is investigated under induction-free approximation.

Surface evolution equation is derived by long-wave expansion method. The stabilizing role of Hartman number M (magnetic field) and the destabilizing role of the viscoelastic property.Abstract. A film falling down an inclined plane has been an active topic of fundamental research at the international level for several decades both theoretically and experimentally and is now a classical hydrodynamic instability problem.