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2010

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Articles 241 - 270 of 381

Full-Text Articles in Chemical Engineering

Book Cover, Sang Done Kim May 2010

Book Cover, Sang Done Kim

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Book Cover


Particle Attrition Measurements Using A Jet Cup, Ray Cocco, S.B. Reddy Karri, Yeook Arrington, Roy Hays, John Findlay, Ted Knowlton May 2010

Particle Attrition Measurements Using A Jet Cup, Ray Cocco, S.B. Reddy Karri, Yeook Arrington, Roy Hays, John Findlay, Ted Knowlton

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Particle attrition is usually detrimental as it negatively affects product quality and process cost. Thus, it is important to know how particles attrit under relevant operating conditions. Small jet cup attrition test devices (such as the Davison Jet Cup) are typically used to measure relative particle attrition for fluidized beds and risers. Ideally, the attrition rates measured in these laboratory units provide a relative indication of how the materials will behave in the commercial unit. Most jet cup devices have a cylindrical configuration. However, Particulate Solid Research, Inc. (PSRI) has found that a cylindrical jet cup attrition measurement may not …


Effects Of Imposed Solids Flux And Pressure On Gas Bypassing In Deep Fluidized Beds Of Group A Materials, Allan Issangya, Reddy Karri Dr, Ted Knowlton May 2010

Effects Of Imposed Solids Flux And Pressure On Gas Bypassing In Deep Fluidized Beds Of Group A Materials, Allan Issangya, Reddy Karri Dr, Ted Knowlton

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Tests were conducted in 0.6-m and 0.9-m-diameter units to determine the effect of imposed solids flux and system pressure on gas bypassing in deep beds of FCC catalyst particles. Imposed solids fluxes of up to 70 kg/m2s and freeboard pressures of up to about 200 kPag were used. Imposing a solids flux on the fluid bed increased the potential for gas bypassing, while increasing the system pressure had the opposite effect.


Magnetic Resonance (Mr) Measurements Of The Mass Flux In Gas-Solid Fluidized Beds, Andrew J. Sederman, Daniel J. Holland, L. F. Gladden, J. S. Dennis, C. R. Müller May 2010

Magnetic Resonance (Mr) Measurements Of The Mass Flux In Gas-Solid Fluidized Beds, Andrew J. Sederman, Daniel J. Holland, L. F. Gladden, J. S. Dennis, C. R. Müller

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Magnetic Resonance (MR) Imaging was used to measure the time-averaged voidage and particle velocity in a 3D gas-solid fluidized bed. Two different distributors were used. The mass-flux through a horizontal plane was calculated by combining the local voidage and particle velocity measurements. Based on the conservation of mass it was possible to give an error in the combined voidage and particle velocity measurements. It was found that the error in the mass flux was usually small (< 5%), albeit increasing with increasing fluidization velocities.


Study Of Solids Entrainment Into Attrition Jets In Fluidized Beds, Feng Li, Cedric Briens, Franco Berruti, Jennifer Mcmillan May 2010

Study Of Solids Entrainment Into Attrition Jets In Fluidized Beds, Feng Li, Cedric Briens, Franco Berruti, Jennifer Mcmillan

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Supersonic nozzles are applied to various fluidized bed processes, such as the production of pharmaceutical powders, fluid catalytic cracking, and fluid coking. In applications such as jet milling, it is essential to entrain a maximum flow-rate of solids from the fluidized bed into the jet cavity. Studies of solid entrainment rate into gas jets have been mostly conducted with subsonic jets and none with convergent-divergent nozzles. The purpose of this research is to study solids entrainment into jets issuing from supersonic convergent-divergent nozzles, and particularly the effects of nozzle size, nozzle mass flow-rate, injection gas properties and fluidization velocity. A …


Evaluation Of The Minimum Velocity Of Polydisperse Bed Fluidization Compounded Of Biomass Pellets And Their Mixtures With Fine Particles Of Coal, Zorin Alexander, Isemin Rafail, Viryasov Dmitriy, Kuzmin Sergey May 2010

Evaluation Of The Minimum Velocity Of Polydisperse Bed Fluidization Compounded Of Biomass Pellets And Their Mixtures With Fine Particles Of Coal, Zorin Alexander, Isemin Rafail, Viryasov Dmitriy, Kuzmin Sergey

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

It turned out that the change graphs of the absolute value of dimensionless amplitude of pressure fluctuations against air velocity can be used to evaluate values of the minimum fluidization velocity of polydisperse bed biomass pellets. An experimental verification is reported on the early predicting index of agglomeration in bubbling fluidized bed of biomass pellets and fine coal particles.


Processing Of Pure Vegetable Oils In A Continuous Fcc Pilot Plant, Peter Bielansky, Alexander Reichhold, Christoph Schönberger May 2010

Processing Of Pure Vegetable Oils In A Continuous Fcc Pilot Plant, Peter Bielansky, Alexander Reichhold, Christoph Schönberger

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

The basic objective of the presented work is the application of vegetable oils as an alternative CO2-neutral feedstock for fluid catalytic cracking (FCC). The experimental test program was conducted in a fully continuously operated FCC pilot plant with intern CFB-design at Vienna University of Technology. Vegetable oils with the highest global production (soy bean oil, palm oil and rapeseed oil) were used. The addition of vegetable oil had hardly any influence on the cracking process. The gasoline achieved is oxygen free at high octane numbers.


Effects Of Liquid Swirling On Gas-To-Liquid Mass Transfer In Three-Phase Fluidized Beds, Yong Kang, Myung-Jae Seo, Hyung Oh Lim, Sung-Mo Son, Yong Jun Cho, Hi Chul Yang, Sang-Done Kim, Heon Jung, Ho Tae Lee May 2010

Effects Of Liquid Swirling On Gas-To-Liquid Mass Transfer In Three-Phase Fluidized Beds, Yong Kang, Myung-Jae Seo, Hyung Oh Lim, Sung-Mo Son, Yong Jun Cho, Hi Chul Yang, Sang-Done Kim, Heon Jung, Ho Tae Lee

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

The swirling flow mode of liquid phase was adopted to promote the gas-to-liquid mass transfer in three-phase(gas-liquid-solid) fluidized beds. Effects of gas(0.01-0.09m/s) and liquid(0.035-0.172m/s) velocities, particle size(1.7-6.0mm) and swirling ratio of liquid phase(0-0.5) on the volumetric gas-to-liquid mass transfer coefficient in the bed were examined. The mass transfer coefficient increased up to 70% by adjusting the swirling flow of liquid phase, especially when the gas velocity is relatively low range. The value of gas-to-liquid mass transfer coefficient was well correlated in terms of dimensionless groups which were derived from the dimensional analysis on the mass transfer system.


Radial Distribution Of Particle Clusters In A Downer Reactor Unit, Mohammad Ashraful Islam, Stefan Krol, Hugo Ignacio De Lasa May 2010

Radial Distribution Of Particle Clusters In A Downer Reactor Unit, Mohammad Ashraful Islam, Stefan Krol, Hugo Ignacio De Lasa

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

This study investigates the formation of clusters at 11 radial positions in a 2.63 cm ID downer reactor using the CREC-GS-Optiprobes. Cluster properties such as dimensions, drag coefficients and velocity across the downer unit radius are established based on the reported data and a probabilistic based model.


Pressure Balance Of A Multiple-Loop Chemical Reactor, Trevor D. Hadley, Ken Chiang, Nick R. Burke, Kok-Seng Lim May 2010

Pressure Balance Of A Multiple-Loop Chemical Reactor, Trevor D. Hadley, Ken Chiang, Nick R. Burke, Kok-Seng Lim

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

For a chemical looping (CL) process it is important to determine the optimum reactor configuration that would offer good pressure balance to ensure smooth transfer of the solids between the reactor loops as well as satisfying the oxygen carrier and heat requirements. A variation of the CL process for production of enriched hydrogen stream is investigated which adopts multiple reactor loops. A pressure balance model is developed and a methodology is proposed to find a feasible reactor configuration at an industrial scale production of hydrogen.


Steam Gasification Of Low Rank Coal Chars In A Thermobalance Reactor And A Fluidized Bed Reactor, Byungho Song, Xueyan Zhu, Woongsig Moon, Won Yang May 2010

Steam Gasification Of Low Rank Coal Chars In A Thermobalance Reactor And A Fluidized Bed Reactor, Byungho Song, Xueyan Zhu, Woongsig Moon, Won Yang

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

The six chars of low rank coals have been gasified with steam in a thermobalance reactor and one lignite in a fluidized bed to obtain the kinetic information needed for a design of coal gasifier. The gas-solid reaction models have been compared for their prediction ability of the gasification reaction behavior. The apparent reaction rate equations have been presented.


Numerical Experiment On Effect Of Surface Roughness For Heat And Flow Around Two Contacting Particles, Azri Bin Alias, Kuwagi K., Bin Mokhtar M.A. Takami T., Horio M. May 2010

Numerical Experiment On Effect Of Surface Roughness For Heat And Flow Around Two Contacting Particles, Azri Bin Alias, Kuwagi K., Bin Mokhtar M.A. Takami T., Horio M.

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

The aim of the present work is to establish a model of heat transfer between particles by using the numerical simulation that can be incorporated in the discrete element method (DEM). The contact heat transfer between particles can be regarded as a contact thermal resistance problem. In the thermal resistance model, the local characteristics, e.g. exact contact area and heat flux distribution on particle surface, are important. However, it is difficult to measure such factors in detail. Accordingly, the authors utilized a numerical simulation. The thermal resistance was modeled by placing a small solid block between the contacting areas in …


Study Of The Minimum Spouting Velocity In A Draft Tube Conical Spouted Bed, Haritz Altzibar, G. Lopez, M. Olazar, J. Bilbao May 2010

Study Of The Minimum Spouting Velocity In A Draft Tube Conical Spouted Bed, Haritz Altzibar, G. Lopez, M. Olazar, J. Bilbao

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

A study has been carried out on the hydrodynamics of conical spouted beds with a non-porous draft-tube. A hydrodynamic correlation has been proposed for calculating the minimum spouting velocity as a function of dimensionless moduli that take into account geometric factors, particle characteristics and operating conditions. A statistical analysis of the data obtained following a design of experiments shows that the inlet diameter, particle diameter and the height of the entrainment zone are the parameter of greater influence on the minimum spouting velocity.


Dem-Cfd Modelling Of A Fluidized Bed Spray Granulator, Lennart Fries, Sergiy Antonyuk, Stefan Heinrich, Stefan Palzer May 2010

Dem-Cfd Modelling Of A Fluidized Bed Spray Granulator, Lennart Fries, Sergiy Antonyuk, Stefan Heinrich, Stefan Palzer

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Coupled DEM-CFD simulations have been performed to study the hydrodynamics of a Wurster granulator on the scale of individual particles. Based on extensive material tests, the collision behaviour of dry "Gamma"-Al2O3 particles is identified and incorporated into the model. The effect of process parameters like air flow rate and geometry details like the Wurster position is studied. Based on a physical description of the material properties, an effective tool for design and scale-up of a Wurster granulator is obtained.


Computational Study Of Layer Inversion In Two-Component Liquid-Fluidized Beds By Dem-Cfd, Alberto Di Renzo, Fernando Cello, Francesco Paolo Di Maio May 2010

Computational Study Of Layer Inversion In Two-Component Liquid-Fluidized Beds By Dem-Cfd, Alberto Di Renzo, Fernando Cello, Francesco Paolo Di Maio

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

In the present work the layer inversion phenomenon observed in experiments from the literature is reproduced via discrete element simulations, in which a novel drag force model valid for bi- and poly-disperse particle systems is used. The simulations serve both as validation of the drag model and as a tool to analyze the dynamics of the phenomenon. The comparison with published data is carried out in terms of bed height and component distributions as functions of the liquid velocity, showing very good agreement.


Zero-Dimensional Modeling Of Indirect Fluidized Bed Gasification, Anton Larsson, David Pallarés, Daniel Neves, Martin Seemann, Henrik Thunman May 2010

Zero-Dimensional Modeling Of Indirect Fluidized Bed Gasification, Anton Larsson, David Pallarés, Daniel Neves, Martin Seemann, Henrik Thunman

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Zero-dimensional models has been developed to investigate mass balance and fuel (biomass) Chalmers a 2-4MW indirect fluidized bed gasifier. The result from this work is that more than 95%(Mass) of the tars is converted in the gasifier and that the water gas shift reaction is far from equilibrium.


Dem Fluidization Of Smart Particles, Amit Suri, Masayuki Horio May 2010

Dem Fluidization Of Smart Particles, Amit Suri, Masayuki Horio

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Numerical simulations using DEM for smart particles/bodies having a capability to induce a repulsive force on the particle based on the cognition were simulated. A particle-particle interaction type repulsive force was used to induce self fluidization and it was found that if the repulsive force is sufficiently high, fluidization of particles can be achieved.


Inside Photo, Sang Done Kim May 2010

Inside Photo, Sang Done Kim

The 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering

Inside Photo


High Temperature Water Gas Shift Catalysts With Alumina, Morris D. Argyle, Tiberiu Popa, Guoqing Xu, Thomas F. Barton May 2010

High Temperature Water Gas Shift Catalysts With Alumina, Morris D. Argyle, Tiberiu Popa, Guoqing Xu, Thomas F. Barton

Faculty Publications

Alumina (Al2O3) was added as a component of conventional iron oxide based high temperature water gas shift (WGS) catalysts. The catalysts contained Fe-Al-Cr-Cu-O and were synthesized by coprecipitation. A series of catalysts were prepared with 5 to 50 wt% Al2O3, 8 wt% Cr2O3, 4 wt% CuO, and the balance Fe2O3. One catalyst was prepared in which the chromia was replaced by alumina. All of the catalysts were compared to a reference WGS catalyst (88 wt% FeOX, 8 wt% Cr2O3, and 4 wt% CuO) with no alumina. The catalysts were characterized using temperature programmed reduction (TPR), surface area analysis using nitrogen …


The Impact Of Thermal Coupling On Catalyst Behavior In Wall-Coated Heat-Exchanger Microreactors, Gregory S. Honda May 2010

The Impact Of Thermal Coupling On Catalyst Behavior In Wall-Coated Heat-Exchanger Microreactors, Gregory S. Honda

Honors Scholar Theses

This thesis presents a numerical study of reaction and diffusion phenomena in wall-coated heat-exchanger microreactors. Specifically, the interactions between an endothermic and exothermic catalyst layer separated by an impermeable wall is studied to understand the inherent behavior of the system. Two modeling approaches are presented, the first under the assumption of a constant thermal gradient and neglecting heat of reaction and the second considering both catalyst layers and reaction heat. Both studies found that thicker, more thermally insulating catalyst layers increase the effectiveness of the exothermic reaction by allowing for accumulation of reaction heat while thinner catalyst layers for the …


Simulation Of A Tubular Solid Oxide Fuel Cell Stack Operating On Biomass Syngas Using Aspen Plus, Wayne Doherty, Anthony Reynolds, David Kennedy May 2010

Simulation Of A Tubular Solid Oxide Fuel Cell Stack Operating On Biomass Syngas Using Aspen Plus, Wayne Doherty, Anthony Reynolds, David Kennedy

Articles

A tubular solid oxide fuel cell (SOFC) stack was modelled and its operation on biomass syn-gas was investigated. The objective of this work was to develop a computer simulation model of a biomass gasification-SOFC (BG-SOFC) system capable of predicting performance under various operating conditions and using diverse fuels. The stack was modelled using Aspen Plus and considers ohmic, activation and concentration losses. It was validated against published data for operation on natural gas. Operating parameters such as fuel and air utilisation factor Uf and Ua, current density j and steam to carbon ratio STCR were varied and …


Rapid Diagnosis Of Tuberculosis In A Peripheral Setting, Elsje Pienaar May 2010

Rapid Diagnosis Of Tuberculosis In A Peripheral Setting, Elsje Pienaar

Department of Chemical and Biomolecular Engineering: Dissertations, Theses, and Student Research

Tuberculosis is an ancient and worldwide epidemic affecting millions of people in mainly the developing world, killing almost 2 million people in 2008. Current diagnostic techniques are outdated and have proven insufficient to control the disease. Smear microscopy has poor sensitivity and culture is slow to yield results. Modern diagnostic techniques are making great strides in shortening time to result but are restricted by two qualities: 1) prohibitively high costs prevent implementation in resource poor areas, and 2) equipment and technician requirements limit application to centralized laboratories. There exists a divide between new technologies and the people that need them …


Liquid-Liquid Equilibrium For Iodine-Hydroiodic Acid-Water Mixtures At Elevated Temperatures And Pressures For The Sulfur-Iodine Cycle, Sarah Mena May 2010

Liquid-Liquid Equilibrium For Iodine-Hydroiodic Acid-Water Mixtures At Elevated Temperatures And Pressures For The Sulfur-Iodine Cycle, Sarah Mena

All Theses

An alternative scenario to the overdependence on fossil fuels is the use of thermochemical cycles to split water into hydrogen and oxygen. The Sulfur-Iodine (SI) cycle, developed at General Atomics in the mid 1970s, is a leading candidate of international interest for the centralized production of hydrogen from nuclear and/or solar power. For a comprehensive assessment of the SI cycle, thermodynamic data for I2-HI-H2O mixtures at elevated temperatures and pressures have been identified as a basic research need.

The focus of this study was liquid-liquid equilibrium (LLE) measurements for the above system. To carry out the measurements, a continuous-flow apparatus …


Isolating Petroleum Pitch Oligomers Via Multistage Supercritical Extraction, Eduardo Cervo May 2010

Isolating Petroleum Pitch Oligomers Via Multistage Supercritical Extraction, Eduardo Cervo

All Dissertations

Petroleum pitches are carbonaceous materials that serve as precursors for advanced carbon products. Because of their highly graphitic nature, such pitches are of particular interest for producing high thermal conductivity carbon fibers for thermal management applications, such as microelectronics packaging for hybrid and plug-in vehicles.
Even though the properties of the final carbon products are impacted by the molecular composition of the starting pitch precursor, a fundamental understanding of this relationship has yet to be established. To this end, dense-gas extraction (DGE), a fractionation technique that allows for the production of pitches of controlled composition for both analytical and rheological …


Transesterification And Recovery Of Intracellular Lipids Using A Single Step Reactive Extraction, Daniel R. Nelson May 2010

Transesterification And Recovery Of Intracellular Lipids Using A Single Step Reactive Extraction, Daniel R. Nelson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A single-step, extractive reaction for extraction of lipids such as biodiesel components, omega-3 fatty acids, or other triglycerides from microbial cells was examined. Conventional methods for lipid extraction use toxic solvents, and require multiple steps and long processing times. When the goal is to produce fatty acid methyl esters or FAMEs, the extracted lipids are subjected to a separate transesterification reaction with simple alcohols in the presence of an acid or base catalyst. A simplified, single-step reactive extraction method can be applied that combines the sequential extraction followed by transesterification using acidified alcohols - a process known as in situ …


Nutrient Utilization From Anaerobic Digester Effluent Through Algae Cultivation, Shantanu Wahal May 2010

Nutrient Utilization From Anaerobic Digester Effluent Through Algae Cultivation, Shantanu Wahal

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Nutrients present in digested animal waste can be utilized for algae cultivation under suitable conditions. Algal growth, however, depends on the chemical forms and speciation of these nutrients. In this study a chemical equilibrium model was first used to describe nutrient speciation and predict conditions that enhance the solubility of nutrients in anaerobic digester effluent. Dilution with water and separation of large particulates greatly improved nutrient availability and light penetration - conditions favorable for algal cultivation. Algae growth was tested using three strains - Scenedesmus dimorphous (UTEX # 417), Chlorella vulgaris (UTEX# 265), and an algal isolate (designated as LLAI …


Comparative Studies On Oxygen Mass Transfer For The Design And Development Of A Single-Use Fermentor, Kristan L. Sorenson May 2010

Comparative Studies On Oxygen Mass Transfer For The Design And Development Of A Single-Use Fermentor, Kristan L. Sorenson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Accurate experimental oxygen mass transfer coefficient, a measure of how quickly oxygen travels from a gas bubble to the bulk liquid, is important for comparing performance and for evaluating the oxygen transfer capability of a fermentor. Delays in probe response and changing gas volumes upon start-up of gassing affect the accuracy of oxygen transfer measurements. To mitigate these inaccuracies, a standard correction procedure for oxygen mass transfer data was established for highly oxygenated, well-mixed fermentation systems. Probe response time correction was generated by applying a second-order response model to dissolved oxygen probes and shown to be effective within 4%. By …


Hydrogen Fuel Cell Analysis: Lessons Learned From Stationary Power Generation Final Report, Scott E. Grasman, John W. Sheffield, Fatih Dogan, Sunggyu Lee, Umit O. Koylu, Angie Rolufs Apr 2010

Hydrogen Fuel Cell Analysis: Lessons Learned From Stationary Power Generation Final Report, Scott E. Grasman, John W. Sheffield, Fatih Dogan, Sunggyu Lee, Umit O. Koylu, Angie Rolufs

Materials Science and Engineering Faculty Research & Creative Works

This study considered opportunities for hydrogen in stationary applications in order to make recommendations related to RD&D strategies that incorporate lessons learned and best practices from relevant national and international stationary power efforts, as well as cost and environmental modeling of pathways. The study analyzed the different strategies utilized in power generation systems and identified the different challenges and opportunities for producing and using hydrogen as an energy carrier. Specific objectives included both a synopsis/critical analysis of lessons learned from previous stationary power programs and recommendations for a strategy for hydrogen infrastructure deployment. This strategy incorporates all hydrogen pathways and …


Synthesis Of An Endothelial Cell Mimicking Surface Containing Thrombomodulin And Endothelial Protein C Receptor, Karl E. Kador Apr 2010

Synthesis Of An Endothelial Cell Mimicking Surface Containing Thrombomodulin And Endothelial Protein C Receptor, Karl E. Kador

Department of Chemical and Biomolecular Engineering: Dissertations, Theses, and Student Research

Synthetic materials for use in blood contacting applications have been studied for many years with limited success. One of the main areas of need for these materials is the design of synthetic vascular grafts for use in the hundreds of thousands of patients who have coronary artery bypass grafting, many without suitable veins for autologous grafts. The design of these grafts is constrained by two common modes of failure, the formation of intimal hyperplasia (IH) and thrombosis. IH formation has been previously linked to a mismatching of the mechanical properties of the graft and has been overcome by creating grafts …


Effect Of Surface Freezing On Meniscus Relaxation In Side Chain Comb Polymers, Shishir Prasad, Zhang Jiang, Michael Sprung, Sunil K. Sinha, Ali Dhinojwala Apr 2010

Effect Of Surface Freezing On Meniscus Relaxation In Side Chain Comb Polymers, Shishir Prasad, Zhang Jiang, Michael Sprung, Sunil K. Sinha, Ali Dhinojwala

College of Polymer Science and Polymer Engineering

We have observed a sharp slowing down of the relaxation of the liquid meniscus for polydn-alkyl acrylate) at temperatures where there are no abrupt changes in bulk viscosity or surface tension. This slowing down is due to the formation of a surface-ordered monolayer above the bulk melting temperatures. X-ray photon correlation spectroscopy measurements reveal that the surface capillary fluctuations are also significantly slower due to the formation of the ordered monolayer for film thicknesses comparable to that of the precursor films. The slowing down of the precursor film dynamics is responsible for slower meniscus relaxation below the surface ordering transition …