A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection

2018 ◽  
Vol 76 (3) ◽  
pp. 1905-1937 ◽  
Author(s):  
Weijia Li ◽  
Wenbin Chen ◽  
Cheng Wang ◽  
Yue Yan ◽  
Ruijian He
Keyword(s):  
Thin Film ◽  
Second Order ◽  
Film Model ◽  
Order Energy ◽  
Thin Film Model ◽  
Slope Selection ◽  
Linear Scheme ◽  
Energy Stable ◽  
Stable Linear

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

2011 ◽  
Vol 52 (3) ◽  
pp. 546-562 ◽  
Author(s):  
Wenbin Chen ◽  
Sidafa Conde ◽  
Cheng Wang ◽  
Xiaoming Wang ◽  
Steven M. Wise
Keyword(s):  
Thin Film ◽  
Film Model ◽  
Thin Film Model ◽  
Slope Selection ◽  
Energy Stable ◽  
Energy Stable Scheme ◽  
Stable Scheme

Optimal Convergence Analysis of a Second Order Scheme for a Thin Film Model Without Slope Selection

2019 ◽  
Vol 80 (3) ◽  
pp. 1716-1730 ◽  
Author(s):  
Wenbin Chen ◽  
Yichao Zhang ◽  
Weijia Li ◽  
Yanqiu Wang ◽  
Yue Yan
Keyword(s):  
Thin Film ◽  
Convergence Analysis ◽  
Second Order ◽  
Film Model ◽  
Optimal Convergence ◽  
Thin Film Model ◽  
Slope Selection ◽  
Order Scheme ◽  
Optimal Convergence Analysis

scholarly journals Two-layer modeling of thermally induced Bénard convection in thin liquid films: Volume of fluid approach vs thin-film model

AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045317
Author(s):  
Ali Mohammadtabar ◽  
Hadi Nazaripoor ◽  
Adham Riad ◽  
Arman Hemmati ◽  
Mohtada Sadrzadeh
Keyword(s):  
Thin Film ◽  
Volume Of Fluid ◽  
Liquid Films ◽  
Thin Liquid Films ◽  
Thermally Induced ◽  
Film Model ◽  
Bénard Convection ◽  
Thin Film Model ◽  
Benard Convection

scholarly journals Nanostructured, mesoporous Au/TiO2 model catalysts – structure, stability and catalytic properties

2011 ◽  
Vol 2 ◽  
pp. 593-606 ◽  
Author(s):  
Matthias Roos ◽  
Dominique Böcking ◽  
Kwabena Offeh Gyimah ◽  
Gabriela Kucerova ◽  
Joachim Bansmann ◽  
...  
Keyword(s):  
Thin Film ◽  
Photoelectron Spectroscopy ◽  
Catalytic Properties ◽  
Model Catalysts ◽  
Model Systems ◽  
Structure Stability ◽  
Titanium Tetraisopropoxide ◽  
X Ray ◽  
Film Model ◽  
Thin Film Model

Aiming at model systems with close-to-realistic transport properties, we have prepared and studied planar Au/TiO2 thin-film model catalysts consisting of a thin mesoporous TiO2 film of 200–400 nm thickness with Au nanoparticles, with a mean particle size of ~2 nm diameter, homogeneously distributed therein. The systems were prepared by spin-coating of a mesoporous TiO2 film from solutions of ethanolic titanium tetraisopropoxide and Pluronic P123 on planar Si(100) substrates, calcination at 350 °C and subsequent Au loading by a deposition–precipitation procedure, followed by a final calcination step for catalyst activation. The structural and chemical properties of these model systems were characterized by X-ray diffraction (XRD), transmission electron microscopy (TEM), N2 adsorption, inductively coupled plasma ionization spectroscopy (ICP–OES) and X-ray photoelectron spectroscopy (XPS). The catalytic properties were evaluated through the oxidation of CO as a test reaction, and reactivities were measured directly above the film with a scanning mass spectrometer. We can demonstrate that the thin-film model catalysts closely resemble dispersed Au/TiO2 supported catalysts in their characteristic structural and catalytic properties, and hence can be considered as suitable for catalytic model studies. The linear increase of the catalytic activity with film thickness indicates that transport limitations inside the Au/TiO2 film catalyst are negligible, i.e., below the detection limit.

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