The tearing of an adhesive layer between flexible tapes pulled apart

1972 ◽  
Vol 52 (4) ◽  
pp. 639-656 ◽  
Author(s):  
A. S. Williamson
Keyword(s):  
Surface Tension ◽  
Adhesive Layer ◽  
Energy Dissipation Rate ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
Pressure Sensitive ◽  
Polynomial Expression ◽  
Newtonian Viscous Fluid ◽  
Stable Flow ◽  
Good Agreement

The tearing of a pressure-sensitive (‘tacky’) adhesive is examined. Two flexible strips bonded by a layer of adhesive are passed between adjacent cylindrical guides and peeled apart, causing the adhesive layer to separate into two about a surface tension membrane. Treating the adhesive as a Newtonian viscous fluid, the slow-flow problem is solved by an iterative numerical scheme in which the surface tension membrane boundary in the vicinity of the region of separation is approximated by a shear-free boundary given by a sixth-degree polynomial expression. The energy dissipation rate, a measure of the ‘strength’ of the adhesive, is obtained from the flow.The solution method is also used to determine the similar flow induced by two counter-rotating rollers partially immersed in a large bath of fluid. The results are in fairly good agreement with available experimental data. The symmetrical eddies observed under the lowest point of the surface tension membrane in the stable flow between the rollers are reproduced in the solution, proving that fluid inertia effects are not essential for their existence.

Magnetohydrodynamic lubrication flow between parallel plates

1966 ◽  
Vol 26 (3) ◽  
pp. 537-543 ◽  
Author(s):  
E. Roland Maki ◽  
Dennis C. Kuzma ◽  
Russell J. Donnelly
Keyword(s):  
Thrust Bearing ◽  
Lubrication Theory ◽  
Parallel Plates ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
Theory And Experiment ◽  
Good Agreement

The magnetohydrodynamic lubrication flow in an externally pressurized thrust bearing is investigated both theoretically and experimentally. The ordinary magnetohydrodynamic lubrication theory for this bearing is extended to include fluid inertia effects. Very good agreement is obtained between theory and experiment.

Fluid Inertia Effects in Non-Newtonian Squeeze Films

1976 ◽  
Vol 98 (3) ◽  
pp. 409-411 ◽  
Author(s):  
A. F. Elkouh
Keyword(s):  
Load Capacity ◽  
Squeeze Film ◽  
Energy Integral ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
First Order ◽  
Integral Methods ◽  
Method Yield ◽  
Pseudoplastic Fluids ◽  
Good Agreement

The momentum and energy integral methods are used to study the effect of inertia on the behavior of a non-Newtonian (Power Law) squeeze film. It is shown that the inertia correction in the load capacity is more significant for pseudoplastic fluids, n < 1. For a Newtonian fluid, n = 1, the expressions obtained by using the energy integral method yield results identical to those obtained from a first-order iteration, and which are in good agreement with available experiments.

scholarly journals Nonlinear two-dimensional free surface solutions of flow exiting a pipe and impacting a wedge

2021 ◽  
Vol 126 (1) ◽  
Author(s):  
Alex Doak ◽  
Jean-Marc Vanden-Broeck
Keyword(s):  
Surface Tension ◽  
Integral Equation ◽  
Free Surface ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Two Dimensional ◽  
Numerical Schemes ◽  
Additional Advantage ◽  
Infinite Wedge ◽  
Good Agreement

AbstractThis paper concerns the flow of fluid exiting a two-dimensional pipe and impacting an infinite wedge. Where the flow leaves the pipe there is a free surface between the fluid and a passive gas. The model is a generalisation of both plane bubbles and flow impacting a flat plate. In the absence of gravity and surface tension, an exact free streamline solution is derived. We also construct two numerical schemes to compute solutions with the inclusion of surface tension and gravity. The first method involves mapping the flow to the lower half-plane, where an integral equation concerning only boundary values is derived. This integral equation is solved numerically. The second method involves conformally mapping the flow domain onto a unit disc in the s-plane. The unknowns are then expressed as a power series in s. The series is truncated, and the coefficients are solved numerically. The boundary integral method has the additional advantage that it allows for solutions with waves in the far-field, as discussed later. Good agreement between the two numerical methods and the exact free streamline solution provides a check on the numerical schemes.

scholarly journals Mechanics of an adhesive tape in a zero degree peel test: effect of large deformation and material nonlinearity

Soft Matter ◽  
2018 ◽  
Vol 14 (47) ◽  
pp. 9681-9692 ◽  
Author(s):  
Chung-Yuen Hui ◽  
Zezhou Liu ◽  
Helen Minsky ◽  
Costantino Creton ◽  
Matteo Ciccotti
Keyword(s):  
Large Deformation ◽  
Peel Test ◽  
Adhesive Layer ◽  
Material Nonlinearity ◽  
Adhesive Tape ◽  
Pressure Sensitive Adhesive ◽  
Pressure Sensitive ◽  
Zero Degree ◽  
The Common ◽  
Backing Layer

The common pressure sensitive adhesive (PSA) tape is a composite consisting of a stiff backing layer and a soft adhesive layer.

scholarly journals Out-of-Plane Vibration of Curved Uniform and Tapered Beams with Additional Mass

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Hamdi Alper Özyiğit ◽  
Mehmet Yetmez ◽  
Utku Uzun
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Variable Cross ◽  
Additional Mass ◽  
Inertia Effects ◽  
Tapered Beam ◽  
Out Of Plane ◽  
Good Agreement

As there is a gap in literature about out-of-plane vibrations of curved and variable cross-sectioned beams, the aim of this study is to analyze the free out-of-plane vibrations of curved beams which are symmetrically and nonsymmetrically tapered. Out-of-plane free vibration of curved uniform and tapered beams with additional mass is also investigated. Finite element method is used for all analyses. Curvature type is assumed to be circular. For the different boundary conditions, natural frequencies of both symmetrical and unsymmetrical tapered beams are given together with that of uniform tapered beam. Bending, torsional, and rotary inertia effects are considered with respect to no-shear effect. Variations of natural frequencies with additional mass and the mass location are examined. Results are given in tabular form. It is concluded that (i) for the uniform tapered beam there is a good agreement between the results of this study and that of literature and (ii) for the symmetrical curved tapered beam there is also a good agreement between the results of this study and that of a finite element model by using MSC.Marc. Results of out-of-plane free vibration of symmetrically tapered beams for specified boundary conditions are addressed.

Dynamic Characterization of an Integral Squeeze Film Bearing Support Damper for a Supercritical CO2 Expander

2017 ◽  
Author(s):  
Bugra Ertas ◽  
Adolfo Delgado ◽  
Jeffrey Moore
Keyword(s):  
High Speed ◽  
Dynamic Performance ◽  
Mechanical Impedance ◽  
Squeeze Film ◽  
Fluid Inertia ◽  
Inertia Effects ◽  
Damping Behavior ◽  
Impedance Testing ◽  
Stiffness And Damping ◽  
Onset Of Cavitation

The present work advances experimental results and analytical predictions on the dynamic performance of an integral squeeze film damper (ISFD) for application in a high-speed super-critical CO2 (sCO2) expander. The test campaign focused on conducting controlled orbital motion mechanical impedance testing aimed at extracting stiffness and damping coefficients for varying end seal clearances, excitation frequencies, and vibration amplitudes. In addition to the measurement of stiffness and damping; the testing revealed the onset of cavitation for the ISFD. Results show damping behavior that is constant with vibratory velocity for each end seal clearance case until the onset of cavitation/air ingestion, while the direct stiffness measurement was shown to be linear. Measurable added inertia coefficients were also identified. The predictive model uses an isothermal finite element method to solve for dynamic pressures for an incompressible fluid using a modified Reynolds equation accounting for fluid inertia effects. The predictions revealed good correlation for experimentally measured direct damping, but resulted in grossly overpredicted inertia coefficients when compared to experiments.

Annular Squeeze Films With Inertial Effects

1983 ◽  
Vol 105 (3) ◽  
pp. 361-363 ◽  
Author(s):  
S. R. Turns
Keyword(s):  
Annular Plate ◽  
Equation Of Motion ◽  
Plate Motion ◽  
Squeezing Flow ◽  
Approximation Technique ◽  
Inertial Effects ◽  
Fluid Inertia ◽  
Governing Equations ◽  
Inertia Effects ◽  
Incompressible Newtonian Fluid

An analysis of the laminar squeezing flow of an incompressible Newtonian fluid between parallel plane annuli is presented in which a successive approximation technique is used to account for fluid inertia effects. An expression for the force generated by the fluid is developed and coupled to the equation of motion for the annular plate. Results are presented from the numerical integration of the governing equations for the plate motion.

Articular Contact Estimation by Surface Reconstruction Based on True Geometry

2008 ◽  
Author(s):  
Bong-Jae Jun ◽  
Thay Q. Lee
Keyword(s):  
Surface Reconstruction ◽  
Glenohumeral Joint ◽  
Estimation Method ◽  
Estimation Methods ◽  
Indirect Contact ◽  
Pressure Sensitive ◽  
Contact Kinematics ◽  
Diarthrodial Joints ◽  
Articulating Surface ◽  
Good Agreement

The intra-articular contact characteristics of the diarthrodial joints have been measured by using Fuji pressure sensitive films and a Tekscan sensor system. Direct measurement can only provide resultant contact information. Indirect contact estimation methods, such as mathematical modeling or a stereophotogramametric method can be used to estimate contact kinematics on each articulating surface. However, indirect estimation methods are often based on simplified geometry due to limited accuracy or simplification, resulting in erroneous contact estimation. The objective of this study was to quantify the intra-articular contact area and shape of the glenohumeral joint determined by surface reconstruction. The results showed that the contact estimation method using surface reconstruction was in good agreement with the results of Tekscan measurement (accuracy ≤ 5.3% and repeatability ≤ 11.2%). The contact estimation method may provide a valuable avenue for understanding contact kinematics in human diarthrodial joints.

Permeability and Structure of Resorcinol – Formaldehyde Gels

1996 ◽  
Vol 431 ◽  
Author(s):  
G. W. Scherer ◽  
C. Alviso ◽  
R. Pekala ◽  
J. Gross
Keyword(s):  
Surface Tension ◽  
Liquid Nitrogen ◽  
Capillary Forces ◽  
Resorcinol Formaldehyde ◽  
Pore Sizes ◽  
Nitrogen Desorption ◽  
Beam Bending ◽  
Good Agreement

AbstractThe permeability (D) of resorcinol-formaldehyde (RF) gels was measured using a beam-bending technique. For gels made at various solids contents and with different catalyst contents, the permeabilities ranged over a factor of ∼50; the pore radii inferred from D varied from ∼3 to 30 nm. Pore radii obtained on RF aerogels using nitrogen desorption were severely affected by compression of the aerogel by capillary forces (resulting from the surface tension of liquid nitrogen). After correction for that effect, the desorption data were found to be in very good agreement with the pore sizes calculated from D.

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