Linear stability of a thin fluid film interacting with its surrounding bulk fluid

2021 ◽  
Vol 33 (7) ◽  
pp. 072104
Author(s):  
S. Mirjalili ◽  
W. H. R. Chan
Keyword(s):  
Linear Stability ◽  
Fluid Film ◽  
Bulk Fluid ◽  
Thin Fluid ◽  
Thin Fluid Film

scholarly journals Motion of a tightly fitting axisymmetric object through a lubricated elastic tube

2021 ◽  
Vol 926 ◽  
Author(s):  
Bhargav Rallabandi ◽  
Jens Eggers ◽  
Miguel Angel Herrada ◽  
Howard A. Stone
Keyword(s):  
Numerical Simulations ◽  
Numerical Solutions ◽  
Elastic Tube ◽  
Direct Numerical Simulations ◽  
Fluid Film ◽  
Square Root ◽  
Membrane Tension ◽  
Relative Speed ◽  
Thin Fluid ◽  
Thin Fluid Film

We consider the translation of a rigid, axisymmetric, tightly fitting object through a cylindrical elastic tube filled with viscous fluid, using a combination of theory and direct numerical simulations. The intruding object is assumed to be wider than the undeformed tube radius, forcing solid–solid contact in the absence of relative motion. The motion of the object establishes a thin fluid film that lubricates this contact. Our theory couples lubrication theory to a geometrically nonlinear membrane description of the tube's elasticity, and applies to a slender intruding object and a thin tube with negligible bending rigidity. We show using asymptotic and numerical solutions of the theory, that the thickness of the thin fluid film scales with the square root of the relative speed for small speeds, set by a balance of hoop stresses, membrane tension and fluid pressure. While membrane tension is relatively small at the entrance of the film, it dominates near the exit and produces undulations of the film thickness, even in the limit of vanishing speeds and slender objects. We find that the drag force on the intruding object depends on the slope of its surface at the entrance to the thin fluid film, and scales as the square root of the relative speed. The predictions of the lubricated membrane theory for the shape of the film and the force on the intruder are in quantitative agreement with three-dimensional direct numerical simulations of the coupled fluid–elastic problem.

scholarly journals Orbiting of Flagellated Bacteria within a Thin Fluid Film around Micrometer-Sized Particles

2019 ◽  
Vol 117 (2) ◽  
pp. 346-354 ◽  
Author(s):  
George Araujo ◽  
Weijie Chen ◽  
Sridhar Mani ◽  
Jay X. Tang
Keyword(s):  
Fluid Film ◽  
Thin Fluid ◽  
Thin Fluid Film

Characterization of Fluid Film Produced by an Atomization–Based Cutting Fluid (ACF) Spray System During Machining

2013 ◽  
Author(s):  
Alexander C. Hoyne ◽  
Chandra Nath ◽  
Shiv G. Kapoor
Keyword(s):  
Flow Characteristics ◽  
Fluid Film ◽  
Cutting Fluid ◽  
Spray Parameters ◽  
Film Model ◽  
Thin Fluid ◽  
Spray System ◽  
Thin Fluid Film ◽  
Film Development ◽  
Cooling And Lubrication

The atomization–based cutting fluid (ACF) spray system has recently been proposed as a cooling and lubrication solution for machining hard to machine materials (e.g. titanium alloys). On the tool rake face, the ACF spray system forms a thin film from cutting fluid that penetrates into the tool–chip interface to improve tool life. The objective of this work is to characterize this thin fluid film in terms of thickness and velocity for sets of ACF spray parameters. ACF spray experiments are performed by varying impingement angle in order to observe the nature of the spreading film, and to determine the film thickness at different locations after impingement of the droplets. It is observed that the film spreads radially outward producing three fluid film development zones (i.e. impingement, steady, unsteady). The steady zone is found to be between 3 and 7 mm from the focus (impingement point) of the ACF spray for the set of parameters investigated. An analytical 3D thin fluid film model for the ACF spray system has also been developed based on the equations for continuity of mass and momentum. The model requires a unique treatment of the cross–film velocity profile, droplet impingement and pressure distributions, as well as a strong gas–liquid shear interaction. The thickness profiles predicted by the analytical film model have been validated. Moreover, the model predictions of film velocity and chip flow characteristics during a titanium turning experiment reveal that the fluid film can easily penetrate into the entire tool–chip interface with the use of the ACF spray system.

New dissipated energies for the thin fluid film equation

2005 ◽  
Vol 4 (3) ◽  
pp. 613-634 ◽  
Author(s):  
Richard S. Laugesen ◽  
Keyword(s):  
Fluid Film ◽  
Thin Fluid ◽  
Thin Fluid Film

Characterization of Fluid Film Produced by an Atomization-Based Cutting Fluid Spray System During Machining

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Alexander C. Hoyne ◽  
Chandra Nath ◽  
Shiv G. Kapoor
Keyword(s):  
Stokes Equations ◽  
Flow Characteristics ◽  
Fluid Film ◽  
Cutting Fluid ◽  
Spray Parameters ◽  
Film Model ◽  
Thin Fluid ◽  
Spray System ◽  
Thin Fluid Film ◽  
Cooling And Lubrication

The atomization-based cutting fluid (ACF) spray system has recently been proposed as a cooling and lubrication solution for machining hard to machine materials (e.g., titanium alloys). On the tool rake face, the ACF spray system forms a thin film from cutting fluid that penetrates into the tool–chip interface to improve tool life. The objective of this work is to characterize this thin fluid film in terms of thickness and velocity for a set of ACF spray parameters. ACF spray experiments are performed by varying impingement angle to observe the nature of the spreading film and to determine the film thickness at different locations after impingement of the droplets. It is observed that the film spreads radially outward producing three fluid film development zones (i.e., impingement, steady, and unsteady). The steady zone is found to be between 3 and 7 mm from the focus (impingement point) of the ACF spray for the set of parameters investigated. An analytical 3D thin fluid film model for the ACF spray system has also been developed based on the Navier–Stokes equations for mass and momentum. The model requires a unique treatment of the cross-film velocity profile, droplet impingement, and pressure distributions, as well as a strong gas–liquid shear interaction. The thickness profiles predicted by the analytical film model have been validated. Moreover, the model predictions of film velocity and chip flow characteristics during a titanium turning experiment reveal that the fluid film can easily penetrate into the entire tool–chip interface with the use of the ACF spray system.

The combined influence of a rough surface and thin fluid film upon the splashing threshold and splash dynamics of a droplet impacting onto them

2005 ◽  
Vol 40 (1) ◽  
pp. 23-32 ◽  
Author(s):  
Randy L. Vander Wal ◽  
Gordon M. Berger ◽  
Steven D. Mozes
Keyword(s):  
Rough Surface ◽  
Fluid Film ◽  
Thin Fluid ◽  
Thin Fluid Film

scholarly journals Flow field analysis of the thin fluid film in disc hydrodynamic polishing

Procedia CIRP ◽  
2018 ◽  
Vol 77 ◽  
pp. 363-366
Author(s):  
Zhong-Chen Cao ◽  
Bin Lin ◽  
Xiang-Min Jiang ◽  
Yan Li
Keyword(s):  
Flow Field ◽  
Fluid Film ◽  
Field Analysis ◽  
Thin Fluid ◽  
Thin Fluid Film ◽  
Flow Field Analysis

scholarly journals A normal form of thin fluid film equations resolves the transient paradox

2006 ◽  
Vol 223 (1) ◽  
pp. 69-81 ◽  
Author(s):  
A.J. Roberts
Keyword(s):  
Normal Form ◽  
Fluid Film ◽  
Thin Fluid ◽  
Thin Fluid Film
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