Measurement of no-slip and slip boundary conditions in confined Newtonian fluids using atomic force microscopy

2009 ◽  
Vol 11 (41) ◽  
pp. 9514 ◽  
Author(s):  
C. L. Henry ◽  
V. S. J. Craig
Keyword(s):  
Atomic Force Microscopy ◽  
Boundary Conditions ◽  
Newtonian Fluids ◽  
Slip Boundary Conditions ◽  
Force Microscopy ◽  
Slip Boundary ◽  
Atomic Force

scholarly journals Researches Concerning the Lubrication of Profiled Surfaces in Slip Boundary Conditions

2020 ◽  
Vol 12 (4) ◽  
pp. 163-172
Author(s):  
Alexandru Valentin RADULESCU ◽  
Irina RADULESCU
Keyword(s):  
Boundary Conditions ◽  
Pressure Distribution ◽  
Reynolds Equation ◽  
Lower Surface ◽  
Newtonian Fluids ◽  
Squeeze Film ◽  
Loading Capacity ◽  
Slip Boundary Conditions ◽  
Slip Boundary

The paper investigates the squeeze film process for non-Newtonian fluids between two circular parallel profiled surfaces. The lower surface is characterized by the existence of a cylindrical or spherical dimple in the center, which is specific for profiled surfaces by texturing. In order to integrate the Reynolds equation, the slip boundary conditions on the upper surface have been assumed. Finally, the pressure distribution and the loading capacity of the non-Newtonian film are obtained.

Modeling the tip-sample interaction in atomic force microscopy with Timoshenko beam theory

2013 ◽  
Vol 2 (1) ◽  
Author(s):  
Julio R. Claeyssen ◽  
Teresa Tsukazan ◽  
Leticia Tonetto ◽  
Daniela Tolfo
Keyword(s):  
Atomic Force Microscopy ◽  
Boundary Conditions ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Surface Effects ◽  
Mode Shapes ◽  
Force Microscopy ◽  
Atomic Force ◽  
Matrix Differential ◽  
Micro Cantilever

AbstractA matrix framework is developed for single and multispan micro-cantilevers Timoshenko beam models of use in atomic force microscopy (AFM). They are considered subject to general forcing loads and boundary conditions for modeling tipsample interaction. Surface effects are considered in the frequency analysis of supported and cantilever microbeams. Extensive use is made of a distributed matrix fundamental response that allows to determine forced responses through convolution and to absorb non-homogeneous boundary conditions. Transients are identified from intial values of permanent responses. Eigenanalysis for determining frequencies and matrix mode shapes is done with the use of a fundamental matrix response that characterizes solutions of a damped second-order matrix differential equation. It is observed that surface effects are influential for the natural frequency at the nanoscale. Simulations are performed for a bi-segmented free-free beam and with a micro-cantilever beam actuated by a piezoelectric layer laminated in one side.

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