Stability of porous-Poiseuille flow with uniform vertical throughflow: High accurate solution

2020 ◽  
Vol 32 (4) ◽  
pp. 044101 ◽  
Author(s):  
B. M. Shankar ◽  
I. S. Shivakumara
Keyword(s):  
Poiseuille Flow ◽  
Accurate Solution ◽  
Vertical Throughflow

A concise and accurate solution for Poiseuille flow in a plane channel

1980 ◽  
Vol 21 (12) ◽  
pp. 2760-2763 ◽  
Author(s):  
C. E. Siewert ◽  
R. D. M. Garcia ◽  
P. Grandjean
Keyword(s):  
Poiseuille Flow ◽  
Plane Channel ◽  
Accurate Solution

Pulse Antennas: Accurate Solution of Two-Dimensional Model Problems for Structures with Gratings as Dispersive Elements

2001 ◽  
Vol 55 (8) ◽  
pp. 14
Author(s):  
A. I. Vyazmitinova ◽  
V. L. Pazynin ◽  
Andrei Olegovich Perov ◽  
Yurii Konstantinovich Sirenko ◽  
H. Akdogan ◽  
...  
Keyword(s):  
Accurate Solution ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model

Effect of Eccentricity on Couette-Poiseuille Flow in Stationary and Rotating Annular Space of Different Radii Ratios

2017 ◽  
Vol 17 (17) ◽  
pp. 1-16
Author(s):  
Reda Ameen ◽  
Khairy Elsayed ◽  
Abdel Hamed Helali ◽  
Hosny Abou-Ziyan
Keyword(s):  
Poiseuille Flow ◽  
Annular Space

Temperature influence on orientation dynamics of oscillatory Poiseuille flow of nematic liquid crystal

2010 ◽  
Vol 7 ◽  
pp. 172-181
Author(s):  
I.Sh. Nasibullayev ◽  
U.R. Kamaletdinova
Keyword(s):  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Poiseuille Flow ◽  
External Influence ◽  
Temperature Influence ◽  
Surface Anchoring ◽  
Orientation Behaviour ◽  
Orientation Change ◽  
Low Amplitude ◽  
Flow Plane

In this work is studying temperature influence and surface anchoring in orientation behaviour of oscillatory Poiseuille flow of nematic liquid crystal (NLC) in the plane cell. Without external influence molecules lays along flow plane. Molecules orientation change and caused by this back-flow is studied by low-amplitude decomposition.

Is it necessary to calculate Young’s modulus in AFM nanoindentation experiments regarding biological samples?

2020 ◽  
Vol 12 ◽  
Author(s):  
S.V. Kontomaris ◽  
A. Malamou ◽  
A. Stylianou
Keyword(s):  
Young’S Modulus ◽  
Biological Samples ◽  
Young's Modulus ◽  
Reference Sample ◽  
Nonlinear Behavior ◽  
Accurate Method ◽  
Accurate Solution ◽  
Hertz Model ◽  
Work Done

Background: The determination of the mechanical properties of biological samples using Atomic Force Microscopy (AFM) at the nanoscale is usually performed using basic models arising from the contact mechanics theory. In particular, the Hertz model is the most frequently used theoretical tool for data processing. However, the Hertz model requires several assumptions such as homogeneous and isotropic samples and indenters with perfectly spherical or conical shapes. As it is widely known, none of these requirements are 100 % fulfilled for the case of indentation experiments at the nanoscale. As a result, significant errors arise in the Young’s modulus calculation. At the same time, an analytical model that could account complexities of soft biomaterials, such as nonlinear behavior, anisotropy, and heterogeneity, may be far-reaching. In addition, this hypothetical model would be ‘too difficult’ to be applied in real clinical activities since it would require very heavy workload and highly specialized personnel. Objective: In this paper a simple solution is provided to the aforementioned dead-end. A new approach is introduced in order to provide a simple and accurate method for the mechanical characterization at the nanoscale. Method: The ratio of the work done by the indenter on the sample of interest to the work done by the indenter on a reference sample is introduced as a new physical quantity that does not require homogeneous, isotropic samples or perfect indenters. Results: The proposed approach, not only provides an accurate solution from a physical perspective but also a simpler solution which does not require activities such as the determination of the cantilever’s spring constant and the dimensions of the AFM tip. Conclusion: The proposed, by this opinion paper, solution aims to provide a significant opportunity to overcome the existing limitations provided by Hertzian mechanics and apply AFM techniques in real clinical activities.

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