On the Hysteresis Loop of Argon Adsorption in Cylindrical Pores

2011 ◽  
Vol 115 (11) ◽  
pp. 4706-4720 ◽  
Author(s):  
Phuong T. M. Nguyen ◽  
D. D. Do ◽  
D. Nicholson
Keyword(s):  
Hysteresis Loop ◽  
Cylindrical Pores ◽  
Argon Adsorption

Hysteresis Loop and Scanning Curves of Argon Adsorption in Closed-End Wedge Pores

Langmuir ◽  
2014 ◽  
Vol 30 (43) ◽  
pp. 12879-12887 ◽  
Author(s):  
Nikom Klomkliang ◽  
D. D. Do ◽  
D. Nicholson
Keyword(s):  
Hysteresis Loop ◽  
Scanning Curves ◽  
Argon Adsorption

scholarly journals Polyelectrolyte Functionalisation of Track Etched Membranes: Towards Charge-Tuneable Adsorber Materials

Membranes ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 509
Author(s):  
Lisa Wiedenhöft ◽  
Mohamed M. A. Elleithy ◽  
Mathias Ulbricht ◽  
Felix H. Schacher
Keyword(s):  
Methylene Blue ◽  
Heavy Metal Ions ◽  
Glycolic Acid ◽  
Organic Dyes ◽  
Langmuir Model ◽  
Surface Grafting ◽  
Hydraulic Permeability ◽  
Cylindrical Pores ◽  
Model Substances ◽  
External Stimuli

Porous adsorber membranes are promising materials for the removal of charged pollutants, such as heavy metal ions or organic dyes as model substances for pharmaceuticals from water. Here, we present the surface grafting of polyethylene terephthalate (PET) track-etched membranes having well defined cylindrical pores of 0.2 or 1 µm diameter with two polyelectrolytes, poly(2-acrylamido glycolic acid) (PAGA) and poly(N-acetyl dehydroalanine) (PNADha). The polyelectrolyte functionalised membranes were characterised by changes in wettability and hydraulic permeability in response to the external stimuli pH and the presence of Cu2+ ions. The response of the membranes proved to be consistent with functionalisation inside the pores, and the change of grafted polyelectrolyte macro-conformation was due to the reversible protonation or binding of Cu2+ ions. Moreover, the adsorption of the model dye methylene blue was studied and quantified. PAGA-grafted membranes showed an adsorption behavior following the Langmuir model for methylene blue.

Weak ferromagnetic response in PbZr1−xTixO3 single crystals

2019 ◽  
Vol 7 (36) ◽  
pp. 11085-11089
Author(s):  
Iwona Lazar ◽  
Monika Oboz ◽  
Jerzy Kubacki ◽  
Andrzej Majchrowski ◽  
Julita Piecha ◽  
...  
Keyword(s):  
Hysteresis Loop ◽  
Single Crystals ◽  
Room Temperature ◽  
Ferromagnetic Hysteresis ◽  
First Time ◽  
Ferromagnetic Hysteresis Loop ◽  
Weak Ferromagnetic

For the first time, a weak ferromagnetic hysteresis loop at room temperature has been observed in PbZr1−xTixO3 (PZT) single crystals.

scholarly journals An Analytical Solution for Non-Linear Viscoelastic Impact

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1849
Author(s):  
Stelian Alaci ◽  
Constantin Filote ◽  
Florina-Carmen Ciornei ◽  
Oana Vasilica Grosu ◽  
Maria Simona Raboaca
Keyword(s):  
Analytical Solution ◽  
Hysteresis Loop ◽  
Viscoelastic Model ◽  
First Integral ◽  
Coefficient Of Restitution ◽  
Contact Period ◽  
Maximum Deformation ◽  
Impact Parameters ◽  
Simplified Algorithm ◽  
The Moment

The paper presents an analytical solution for the centric viscoelastic impact of two smooth balls. The contact period has two phases, compression and restitution, delimited by the moment corresponding to maximum deformation. The motion of the system is described by a nonlinear Hunt–Crossley equation that, when compared to the linear model, presents the advantage of a hysteresis loop closing in origin. There is only a single available equation obtained from the theorem of momentum. In order to solve the problem, in the literature, there are accepted different supplementary hypotheses based on energy considerations. In the present paper, the differential equation is written under a convenient form; it is shown that it can be integrated and a first integral is found—this being the main asset of the work. Then, all impact parameters can be calculated. The effect of coefficient of restitution upon all collision characteristics is emphasized, presenting importance for the compliant materials, in the domain of small coefficients of restitution. The results (variations of approach, velocity, force vs. time and hysteresis loop) are compared to two models due to Lankarani and Flores. For quasi-elastic collisions, the results are practically the same for the three models. For smaller values of the coefficient of restitution, the results of the present paper are in good agreement only to the Flores model. The simplified algorithm for the calculus of viscoelastic impact parameters is also presented. This algorithm avoids the large calculus volume required by solving the transcendental equations and definite integrals present in the mathematical model. The method proposed, based on the viscoelastic model given by Hunt and Crossley, can be extended to the elasto–visco–plastic nonlinear impact model.

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