CEE 697z Organic Compounds in Water and Wastewater

Size: px
Start display at page:

Download "CEE 697z Organic Compounds in Water and Wastewater"

Transcription

1 Print version CEE 697z Organic Compounds in Water and Wastewater PCBs and other HOCs: Voatiization & other processes Lecture #36 Voatiization: The two fim theory p g Competey mixed Stagnant poor mass transfer p i Stagnant poor mass transfer c i Interface c Competey mixed 1

2 Two fim mode Universa Gas Law n V P RT a Fux from the bu iquid to the interface J K ( c c ) i Fux from the interface to the bu gas Moar concentration Mass transfer veocities (m/d) J g Kg ( RT p p g i) a And the K s are reated to the moecuar diffusion coefficients by: K D z D g Kg z g Two fim theory (cont.) We want to be abe to reate fux to bu air and water concentrations interface concentrations cannot be directy measured p J v v H g c to do this we must substitute expressions for the interface concentrations e 2

3 Air/Water Equiibrium Henry s Law or Whitman s 2 fim mode (cont.) According to Henry s aw: And reating this bac to the bu concentration Reca: J K ( c c ) p H J K c i e now soving and equating the fuxes, we get (pg. 371 in text): 1 1 RTa v K HK The net transfer veocity across the air-water interface (m/d) sometimes represented as K o v p H c i e i So: e i J ci c K g 3

4 correction (atm m 3 gmo -1 ) Figure 20.4, page 373 in text. Two Fim Voatiization Mode Jeremiason s equation vo K h o f w Same as Chapra s v vv H f 1 d1 Where: 1 K o RT H a 1 w 4

5 Estimating 2-fim parameters The gas fim coefficient, 02. u aho The iquid fim coefficient apcb, aho, 2 D D PCB, air HOair, wco, u 2 10 Kinetic viscosity: moecuar diffusivity Schmidt Number 164 wpcb, wco, 2 Sc Sc PCB CO Effect of U w and H e Chapra, pg

6 Bamford, H.A., Poster, D.L. and Baer, J.E. (1999) Temperature dependence of Henry's aw constants of thirteen poycycic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmenta Toxicoogy and Chemistry 18(9), Determination of H e The gas-stripping device: a 122- cm by 15.2-cm diameter gass reactor, a 5-mm gass impactor, a 5-μm pore-size air stone, and a 500-m gass gas washing botte. Procedure: The apparatus was fied to a depth of 83 cm with 10 L of deionized water. Between 130 m/min to 200 m/min of compressed air was passed through a hydrocarbon trap to remove possibe contaminants and through a gas washing botte to saturate the air with water vapor prior to entering the reactor through the air stone mounted at the bottom of the water coumn. Bamford, H.A., Poster, D.L. and Baer, J.E. (1999) Temperature dependence of Henry's aw constants of thirteen poycycic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmenta Toxicoogy and Chemistry 18(9), Det. of H e (cont.) Procedure (cont.): Air exiting the reactor passed through the impactor to remove aerosos created by breaing bubbes, then through a cyindrica poyurethane foam pug (PUF) housed in a gass coumn to capture vapor-phase compounds. The efficiency and appication of PUF to absorb hydrophobic organic contaminants (HOCs) have been evauated in severa studies Water sampes (50 m) were drawn through a Tefon stopcoc ocated at the base of the reactor. During each experiment, simutaneous air and water sampes were coected every 24 to 48 h for 6 to 12 d. 6

7 Det. of H e (cont.) with QC The entire system was ocated in a controed environment room, where the ights remained off during each experiment to minimize any oss of compounds to photodegradation. Compound mass baances were determined to insure anaytes were not ost to degradation or to eas in the system Mass recoveries for the compounds ranged between 85% and 112% of the initia mass added. Bamford, H.A., Poster, D.L. and Baer, J.E. (1999) Temperature dependence of Henry's aw constants of thirteen poycycic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmenta Toxicoogy and Chemistry 18(9), Bamford, H.A., Poster, D.L. and Baer, J.E. (1999) Temperature dependence of Henry's aw constants of thirteen poycycic aromatic hydrocarbons between 4 degrees C and 31 degrees C. Environmenta Toxicoogy and Chemistry 18(9), Det. of H e - Chemica Anaysis Extraction: The PUF sampes were Soxhet extracted for 24 h with 150 m of chromatographic grade petroeum ether. Extracts were reduced to <3 m by rotary evaporation, switched to hexane, and further concentrated under a gente stream of cean N 2 to a fina voume of 1 m. Each water sampe was sovent extracted three times with 10 m of hexane in a separatory funne, and combined extracts were dried with Na 2 SO 4 and reduced by rotary evaporation to 1 m in hexane. The concentrated sampes were transferred to amber autosamper vias and seaed with Tefon caps and stored in the dar at 4 C unti anaysis. Anaysis: A compounds were anayzed by GC/MS (HP 5890 GC and HP 5972 Mass Seective Detector) operated in seective ion monitoring (SIM) mode. The coumn was 30 m in ength, 0.25 mm i.d. with a cross ined 5% pheny-methy siicone fim thicness of 0.25 μm. Identification of individua compounds was based on the retention times of the parent ion of each compound reative to the retention time of a caibration standard. Interna standards, consisting of deuterated compounds were added to the caibration standard and each sampe prior to GC/MS anaysis. Interna standards were used to cacuate reative response factors for each anayte by comparing a nown mass of anayte in the caibration standard to the nown mass of a particuar interna standard. 7

8 Det. of H e - Resuts sss Voatiization vs overa oss rate (/yr) Log Kow (yr-1) vo (yr-1) -regr. vo-regr. 8

9 Expicity reported pathways (dashed ines) and pathways added to dechorination process M through the cassification tree anaysis (soid ines). Note that the numbers are arranged by homoogue and correspond to congener structures assigned in the origina wor of Baschmiter and Ze (47) with corrections to congener numbers by Schute and Maisch (48) and corrections to numbers by Guitart et a. (49) (0 represents bipheny). Hughes, A.S., Vanbriesen, J.M. and Sma, M.J. (2009) Identification of Structura Properties Associated with Poychorinated Bipheny Dechorination Processes. Environmenta Science & Technoogy 44(8), CEE 697z - Lecture #36 PCB Mass Baance in Lae Superior, 1986 Atmospheric Deposition Wet 125 g/yr Dry 32 g/yr Atmosphere ~200 g Net Voatiization ~1900 g/yr Other discharges ~40 g/yr Rivers ~110 g/yr Partice Setting ~3000 g/yr Outfow ~60 g/yr Water Coumn ~10,100 g Sediment ~4900 g Recycing ~2890 g/yr Buria ~110 g/yr 9

10 PCBs in the Lae Superior Reference: PCBs in Lae Superior, : Decrease in Water Concentrations Refect Loss by Voatiization, by Jeremiason, Hornbuce and Eisenreich, Environmenta Science and Technoogy, 28:903 (1994) St. Mary s River Fu 1, 2 or 3-d mechanistic mode Combine with advective fow Water (1) Diffusion (v d ) Setting (v s ) Mixed Sediments (2) Deep Sediments (3) Resuspension (v r ) Buria (v b ) 10

11 Summary of sorption & voatiization effects Assume T a =283 K M=200 g/moe U w = 5 mph v s =91 m/yr Assimiation refers to genera rate of remova Summary: pesticides Chapra, pg

12 Summary: PCBs Chapra, pg.736 Summary: PAHs Chapra, pg

13 Concusions on PCB fate The environmenta fate and transport of PCBs is argey governed by their physica-chemica characteristics, properties which vary considerabe across the spectrum of species incuded in this famiy of chemicas. Chief among these properties are the octano-water partition coefficient, a measure of the potentia to associate with partices, and the Henry s Law constant, a refection of the partitioning of the chemica between air and water. In genera, high MW PCBs are strongy associated with partices and ow MW PCBs are more strongy partitioned to the atmosphere. As a resut, fish consumption advisories are common in Michigan and other states. Prediction of partition coefficients for compex environmenta contaminants: Vaidation of COSMOtherm, ABSOLV, and SPARC Stenze, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Compex Environmenta Contaminants: Vaidation of COSMOTHERM, ABSOLV, and SPARC. Environmenta Toxicoogy and Chemistry 33(7),

14 Prediction of partition coefficients for compex environmenta contaminants: Vaidation of COSMOtherm, ABSOLV, and SPARC Stenze, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Compex Environmenta Contaminants: Vaidation of COSMOTHERM, ABSOLV, and SPARC. Environmenta Toxicoogy and Chemistry 33(7), Prediction of partition coefficients for compex environmenta contaminants: Vaidation of COSMOtherm, ABSOLV, and SPARC Stenze, A., Goss, K.U. and Endo, S. (2014) Prediction of Partition Coefficients for Compex Environmenta Contaminants: Vaidation of COSMOTHERM, ABSOLV, and SPARC. Environmenta Toxicoogy and Chemistry 33(7),

15 (a) Pot of og Kow versus og Kf for a data. The potted og Kf vaues are the average of a pubished data for compounds isted in Tabe SI-1. Bars indicate the range in data. The bac ine is the inear regression between og Kf and og Kow for a of the data (ogkf = 0.70ogKow ; R2 = 0.65). The dashed circe iustrates the region with the highest range in og Kf vaues (og Kow 5.5). (b) Pot of og Kow versus og Kf for a passing data. The potted og Kf vaues are the average of a passing pubished data for the compounds isted in Tabe SI-1. Bars indicate the range in data. The bac ine is the inear regression between og Kf and og Kow for a of the passing data (ogkf = 0.83ogKow ; R2 = 0.73). The dashed circe iustrates the region with the highest range in og Kf vaues (og Kow 5.5). Difiippo, E.L. and Eganhouse, R.P. (2010) Assessment of PDMS-Water Partition Coefficients: Impications for Passive Environmenta Samping of Hydrophobic Organic Compounds. Environmenta Science & Technoogy 44(18), The End 15

Mass Transport 2: Fluids Outline

Mass Transport 2: Fluids Outline ass Transport : Fuids Outine Diffusivity in soids, iquids, gases Fick s 1st aw in fuid systems Diffusion through a stagnant gas fim Fick s nd aw Diffusion in porous media Knudsen diffusion ass Transfer

More information

Chemical Kinetics Part 2

Chemical Kinetics Part 2 Integrated Rate Laws Chemica Kinetics Part 2 The rate aw we have discussed thus far is the differentia rate aw. Let us consider the very simpe reaction: a A à products The differentia rate reates the rate

More information

Effect of Oxygen Injection into Argon Induction Plasmas on Chemically Non-Equilibrium Conditions

Effect of Oxygen Injection into Argon Induction Plasmas on Chemically Non-Equilibrium Conditions Proceedings of 17th Internationa Symposium on Pasma Chemistry, Toronto, Canada, August 7-12, 25 Effect of Oxygen Injection into Argon Induction Pasmas on Chemicay Non-Equiibrium Conditions Nobuhiko Atsuchi

More information

Chemical Kinetics Part 2. Chapter 16

Chemical Kinetics Part 2. Chapter 16 Chemica Kinetics Part 2 Chapter 16 Integrated Rate Laws The rate aw we have discussed thus far is the differentia rate aw. Let us consider the very simpe reaction: a A à products The differentia rate reates

More information

Combining reaction kinetics to the multi-phase Gibbs energy calculation

Combining reaction kinetics to the multi-phase Gibbs energy calculation 7 th European Symposium on Computer Aided Process Engineering ESCAPE7 V. Pesu and P.S. Agachi (Editors) 2007 Esevier B.V. A rights reserved. Combining reaction inetics to the muti-phase Gibbs energy cacuation

More information

Preventing Pollution: Choices During Process Synthesis - Chapter 9. David R. Shonnard Department of Chemical Engineering

Preventing Pollution: Choices During Process Synthesis - Chapter 9. David R. Shonnard Department of Chemical Engineering Preventing Poution: Choices During Process Synthesis - Chapter 9 David R. Shonnard Department of Chemica Engineering 1 Chapter 9 (a): Outine After the Input-Output structure is estabished, an environmenta

More information

- Height equivalent to a theoretical plate (HETP) -Operating line based on material balance -Two-film theory - Determination of column packed height

- Height equivalent to a theoretical plate (HETP) -Operating line based on material balance -Two-film theory - Determination of column packed height Lecture 10. Absorption and Stripping (2) [Ch. 6] Rate-Based BasedMethodforPackedCoumns - Height equivaent to a theoretica pate (HETP) -Operating ine based on materia baance -Two-fim theor - Determination

More information

Gauss Law. 2. Gauss s Law: connects charge and field 3. Applications of Gauss s Law

Gauss Law. 2. Gauss s Law: connects charge and field 3. Applications of Gauss s Law Gauss Law 1. Review on 1) Couomb s Law (charge and force) 2) Eectric Fied (fied and force) 2. Gauss s Law: connects charge and fied 3. Appications of Gauss s Law Couomb s Law and Eectric Fied Couomb s

More information

Copyright information to be inserted by the Publishers. Unsplitting BGK-type Schemes for the Shallow. Water Equations KUN XU

Copyright information to be inserted by the Publishers. Unsplitting BGK-type Schemes for the Shallow. Water Equations KUN XU Copyright information to be inserted by the Pubishers Unspitting BGK-type Schemes for the Shaow Water Equations KUN XU Mathematics Department, Hong Kong University of Science and Technoogy, Cear Water

More information

arxiv: v1 [physics.flu-dyn] 2 Nov 2007

arxiv: v1 [physics.flu-dyn] 2 Nov 2007 A theoretica anaysis of the resoution due to diffusion and size-dispersion of partices in deterministic atera dispacement devices arxiv:7.347v [physics.fu-dyn] 2 Nov 27 Martin Heer and Henrik Bruus MIC

More information

Elements of Kinetic Theory

Elements of Kinetic Theory Eements of Kinetic Theory Statistica mechanics Genera description computation of macroscopic quantities Equiibrium: Detaied Baance/ Equipartition Fuctuations Diffusion Mean free path Brownian motion Diffusion

More information

Traffic data collection

Traffic data collection Chapter 32 Traffic data coection 32.1 Overview Unike many other discipines of the engineering, the situations that are interesting to a traffic engineer cannot be reproduced in a aboratory. Even if road

More information

Calculating Alkalinity

Calculating Alkalinity Cacuating Akainity Overview How to cacuate acid:anion ratios at varying ionic strengths Use the Mixing Water cacuation as a ph titration apparatus Understand how weak acid chemistry affects akainity Compare

More information

Science & Technologies COMPARISON OF MASS TRANSFER COEFFICIENTS DETERMINED BY DIFFERENT METHODS IN DISTILLATION COLUMN WITH THREE TRAYS

Science & Technologies COMPARISON OF MASS TRANSFER COEFFICIENTS DETERMINED BY DIFFERENT METHODS IN DISTILLATION COLUMN WITH THREE TRAYS COMPARION OF MA TRANFER COEFFICIENT DETERMINED BY DIFFERENT METHOD IN DITIATION COUMN WITH THREE TRAY Dian Radev, Dorin Georgiev, Desisava Koeva, Mariana Karaivanova Facuty of Technica ciences, Prof. D-r.

More information

Crystallisation of a supercooled spherical nodule in a flow

Crystallisation of a supercooled spherical nodule in a flow EUROTHERM 69 Heat and Mass Transfer in Soid-Liquid Phase hange Processes June 25-27, 2003, Bistra caste, Ljubjana, Sovenia Eds.: B. Sarer, D. Gobin rystaisation of a supercooed spherica nodue in a fow

More information

HEAT EXCHANGER NETWORK SYNTHESIS CONSIDERING CHANGING PHASE STREAMS

HEAT EXCHANGER NETWORK SYNTHESIS CONSIDERING CHANGING PHASE STREAMS HEAT EXCHANGER NETWORK SYNTHESIS CONSIDERING CHANGING PHASE STREAMS F. S. Liporace a, F. L. P. Pessoa b, and E. M. Queiroz b, a PETROBRAS/CENPES/EB/SAP Cidade Universitária - Iha do Fundão 21949-900, Rio

More information

Numerical simulation of a high viscosity bubble column

Numerical simulation of a high viscosity bubble column 20th Internationa Congress on Modeing and Simuation, Adeaide, Austraia, 1 6 December 2013 www.mssanz.org.au/modsim2013 Numerica simuation of a high viscosity bubbe coumn Danio Carvajaa, Victor Meendez-Vejara,

More information

MVS. Multichannel Verification System

MVS. Multichannel Verification System MVS Mutichanne Verification System Increase iquid handing quaity with easy, reiabe performance verification. Are your iquid handers transferring critica voumes accuratey and precisey? Woud you know if

More information

Chapter 4. Moving Observer Method. 4.1 Overview. 4.2 Theory

Chapter 4. Moving Observer Method. 4.1 Overview. 4.2 Theory Chapter 4 Moving Observer Method 4.1 Overview For a compete description of traffic stream modeing, one woud reuire fow, speed, and density. Obtaining these parameters simutaneousy is a difficut task if

More information

Effect of transport ratio on source term in determination of surface emission coefficient

Effect of transport ratio on source term in determination of surface emission coefficient Internationa Journa of heoretica & Appied Sciences, (): 74-78(9) ISSN : 975-78 Effect of transport ratio on source term in determination of surface emission coefficient Sanjeev Kumar and Apna Mishra epartment

More information

Kinetics of cation adsorption on charged soil mineral as strong electrostatic force presence or absence

Kinetics of cation adsorption on charged soil mineral as strong electrostatic force presence or absence J Sois Sediments () :53 6 DOI.7/s368--83-6 SOILS, SEC GLOBAL CHANGE, ENVIRON RISK ASSESS, SUSTAINABLE LAND USE RESEARCH ARTICLE Kinetics of cation adsorption on charged soi minera as strong eectrostatic

More information

IE 361 Exam 1. b) Give *&% confidence limits for the bias of this viscometer. (No need to simplify.)

IE 361 Exam 1. b) Give *&% confidence limits for the bias of this viscometer. (No need to simplify.) October 9, 00 IE 6 Exam Prof. Vardeman. The viscosity of paint is measured with a "viscometer" in units of "Krebs." First, a standard iquid of "known" viscosity *# Krebs is tested with a company viscometer

More information

Problem Set 6: Solutions

Problem Set 6: Solutions University of Aabama Department of Physics and Astronomy PH 102 / LeCair Summer II 2010 Probem Set 6: Soutions 1. A conducting rectanguar oop of mass M, resistance R, and dimensions w by fas from rest

More information

Numerical solution of one dimensional contaminant transport equation with variable coefficient (temporal) by using Haar wavelet

Numerical solution of one dimensional contaminant transport equation with variable coefficient (temporal) by using Haar wavelet Goba Journa of Pure and Appied Mathematics. ISSN 973-1768 Voume 1, Number (16), pp. 183-19 Research India Pubications http://www.ripubication.com Numerica soution of one dimensiona contaminant transport

More information

12.2. Maxima and Minima. Introduction. Prerequisites. Learning Outcomes

12.2. Maxima and Minima. Introduction. Prerequisites. Learning Outcomes Maima and Minima 1. Introduction In this Section we anayse curves in the oca neighbourhood of a stationary point and, from this anaysis, deduce necessary conditions satisfied by oca maima and oca minima.

More information

Mode in Output Participation Factors for Linear Systems

Mode in Output Participation Factors for Linear Systems 2010 American ontro onference Marriott Waterfront, Batimore, MD, USA June 30-Juy 02, 2010 WeB05.5 Mode in Output Participation Factors for Linear Systems Li Sheng, yad H. Abed, Munther A. Hassouneh, Huizhong

More information

First-Order Corrections to Gutzwiller s Trace Formula for Systems with Discrete Symmetries

First-Order Corrections to Gutzwiller s Trace Formula for Systems with Discrete Symmetries c 26 Noninear Phenomena in Compex Systems First-Order Corrections to Gutzwier s Trace Formua for Systems with Discrete Symmetries Hoger Cartarius, Jörg Main, and Günter Wunner Institut für Theoretische

More information

Induction and Inductance

Induction and Inductance Induction and Inductance How we generate E by B, and the passive component inductor in a circuit. 1. A review of emf and the magnetic fux. 2. Faraday s Law of Induction 3. Lentz Law 4. Inductance and inductor

More information

Proceedings of Meetings on Acoustics

Proceedings of Meetings on Acoustics Proceedings of Meetings on Acoustics Voume 9, 23 http://acousticasociety.org/ ICA 23 Montrea Montrea, Canada 2-7 June 23 Architectura Acoustics Session 4pAAa: Room Acoustics Computer Simuation II 4pAAa9.

More information

Tracking Control of Multiple Mobile Robots

Tracking Control of Multiple Mobile Robots Proceedings of the 2001 IEEE Internationa Conference on Robotics & Automation Seou, Korea May 21-26, 2001 Tracking Contro of Mutipe Mobie Robots A Case Study of Inter-Robot Coision-Free Probem Jurachart

More information

Mechanics 3. Elastic strings and springs

Mechanics 3. Elastic strings and springs Chapter assessment Mechanics 3 Eastic strings and springs. Two identica ight springs have natura ength m and stiffness 4 Nm -. One is suspended verticay with its upper end fixed to a ceiing and a partice

More information

Candidate Number. General Certificate of Education Advanced Level Examination January 2012

Candidate Number. General Certificate of Education Advanced Level Examination January 2012 entre Number andidate Number Surname Other Names andidate Signature Genera ertificate of Education dvanced Leve Examination January 212 Physics PHY4/1 Unit 4 Fieds and Further Mechanics Section Tuesday

More information

Paper presented at the Workshop on Space Charge Physics in High Intensity Hadron Rings, sponsored by Brookhaven National Laboratory, May 4-7,1998

Paper presented at the Workshop on Space Charge Physics in High Intensity Hadron Rings, sponsored by Brookhaven National Laboratory, May 4-7,1998 Paper presented at the Workshop on Space Charge Physics in High ntensity Hadron Rings, sponsored by Brookhaven Nationa Laboratory, May 4-7,998 Noninear Sef Consistent High Resoution Beam Hao Agorithm in

More information

EXPERIMENT 5 MOLAR CONDUCTIVITIES OF AQUEOUS ELECTROLYTES

EXPERIMENT 5 MOLAR CONDUCTIVITIES OF AQUEOUS ELECTROLYTES EXPERIMENT 5 MOLR CONDUCTIVITIES OF QUEOUS ELECTROLYTES Objective: To determine the conductivity of various acid and the dissociation constant, K for acetic acid a Theory. Eectrica conductivity in soutions

More information

Nonlinear Analysis of Spatial Trusses

Nonlinear Analysis of Spatial Trusses Noninear Anaysis of Spatia Trusses João Barrigó October 14 Abstract The present work addresses the noninear behavior of space trusses A formuation for geometrica noninear anaysis is presented, which incudes

More information

Adjustment of automatic control systems of production facilities at coal processing plants using multivariant physico- mathematical models

Adjustment of automatic control systems of production facilities at coal processing plants using multivariant physico- mathematical models IO Conference Series: Earth and Environmenta Science AER OEN ACCESS Adjustment of automatic contro systems of production faciities at coa processing pants using mutivariant physico- mathematica modes To

More information

Design of a Slurry-foam Reactor System for the Manufacture of Precipitated Calcium Carbonate

Design of a Slurry-foam Reactor System for the Manufacture of Precipitated Calcium Carbonate WES 2008, October 22-24, 2008, San Francisco, USA Design of a Surry-foam Reactor System for the Manufacture of Precipitated acium arbonate Susanta Kumar Jana and Ashok N. Bhaskarwar Abstract Design methodoogy

More information

Reaction kinetics in chemical engineering

Reaction kinetics in chemical engineering Bugarian Chemica Communications Voume 5 Specia Issue K (pp. 11 119) 18 11 Reaction inetics in chemica engineering Christo Boyadiev Institute of Chemica Engineering Bugarian Academy of Sciences 1113 Sofia

More information

Phase Behavior and Equilibria

Phase Behavior and Equilibria hase Behavior and Equiibria E-1 he next portion of this course (minus kinetics) wi use the aws of thermodynamics to examine different physica and chemica processes (such as phase equiibria). hase Diarams

More information

Phase Change Equation of State for FSI Applications

Phase Change Equation of State for FSI Applications 15 th Internationa LS-DYNA Users Conference FSI / ALE Phase Change Equation of State for FSI Appications Mhamed Soui, Ramzi Messahe Lie Uniersity France Cyri Regan, Camie Ruiuc Ingeiance Technoogies, Agence

More information

T.C. Banwell, S. Galli. {bct, Telcordia Technologies, Inc., 445 South Street, Morristown, NJ 07960, USA

T.C. Banwell, S. Galli. {bct, Telcordia Technologies, Inc., 445 South Street, Morristown, NJ 07960, USA ON THE SYMMETRY OF THE POWER INE CHANNE T.C. Banwe, S. Gai {bct, sgai}@research.tecordia.com Tecordia Technoogies, Inc., 445 South Street, Morristown, NJ 07960, USA Abstract The indoor power ine network

More information

D. Prémel, J.M. Decitre and G. Pichenot. CEA, LIST, F Gif-sur-Yvette, France

D. Prémel, J.M. Decitre and G. Pichenot. CEA, LIST, F Gif-sur-Yvette, France SIMULATION OF EDDY CURRENT INSPECTION INCLUDING MAGNETIC FIELD SENSOR SUCH AS A GIANT MAGNETO-RESISTANCE OVER PLANAR STRATIFIED MEDIA COMPONENTS WITH EMBEDDED FLAWS D. Préme, J.M. Decitre and G. Pichenot

More information

ScienceDirect. Numerical modelling of debris bed water quenching

ScienceDirect. Numerical modelling of debris bed water quenching Avaiabe onine at www.sciencedirect.com ScienceDirect Procedia IUTAM 15 2015 64 71 IUTAM Symposium on Mutiphase fows with phase change: chaenges and opportunities, Hyderabad, India December 08 December

More information

NATIONAL SENIOR CERTIFICATE GRADE 12 PHYSICAL SCIENCES: CHEMISTRY (P2) COMMON TEST JUNE 2014

NATIONAL SENIOR CERTIFICATE GRADE 12 PHYSICAL SCIENCES: CHEMISTRY (P2) COMMON TEST JUNE 2014 Physica Science/P2 1 June 2014 Common Test MARKS: 100 TIME: 2 hours NATIONAL SENIOR CERTIFICATE GRADE 12 PHYSICAL SCIENCES: CHEMISTRY (P2) COMMON TEST JUNE 2014 This question paper consists of 10 pages

More information

The EM Algorithm applied to determining new limit points of Mahler measures

The EM Algorithm applied to determining new limit points of Mahler measures Contro and Cybernetics vo. 39 (2010) No. 4 The EM Agorithm appied to determining new imit points of Maher measures by Souad E Otmani, Georges Rhin and Jean-Marc Sac-Épée Université Pau Veraine-Metz, LMAM,

More information

Elements of Kinetic Theory

Elements of Kinetic Theory Eements of Kinetic Theory Diffusion Mean free path rownian motion Diffusion against a density gradient Drift in a fied Einstein equation aance between diffusion and drift Einstein reation Constancy of

More information

https://doi.org/ /epjconf/

https://doi.org/ /epjconf/ HOW TO APPLY THE OPTIMAL ESTIMATION METHOD TO YOUR LIDAR MEASUREMENTS FOR IMPROVED RETRIEVALS OF TEMPERATURE AND COMPOSITION R. J. Sica 1,2,*, A. Haefee 2,1, A. Jaai 1, S. Gamage 1 and G. Farhani 1 1 Department

More information

Physics 235 Chapter 8. Chapter 8 Central-Force Motion

Physics 235 Chapter 8. Chapter 8 Central-Force Motion Physics 35 Chapter 8 Chapter 8 Centra-Force Motion In this Chapter we wi use the theory we have discussed in Chapter 6 and 7 and appy it to very important probems in physics, in which we study the motion

More information

BP neural network-based sports performance prediction model applied research

BP neural network-based sports performance prediction model applied research Avaiabe onine www.jocpr.com Journa of Chemica and Pharmaceutica Research, 204, 6(7:93-936 Research Artice ISSN : 0975-7384 CODEN(USA : JCPRC5 BP neura networ-based sports performance prediction mode appied

More information

Brine Discharge Plumes on a Sloping Beach

Brine Discharge Plumes on a Sloping Beach Brine Discharge Pumes on a Soping Beach H.H. AL-BARWANI, Anton PURNAMA Department of Mathematics and Statistics, Coege of Science Sutan Qaboos Universit, PO Bo 6, A-Khod 1, Muscat, Sutanate of Oman E-mai:

More information

Research on liquid sloshing performance in vane type tank under microgravity

Research on liquid sloshing performance in vane type tank under microgravity IOP Conference Series: Materias Science and Engineering PAPER OPEN ACCESS Research on iquid soshing performance in vane type tan under microgravity Reated content - Numerica simuation of fuid fow in the

More information

DIGITAL FILTER DESIGN OF IIR FILTERS USING REAL VALUED GENETIC ALGORITHM

DIGITAL FILTER DESIGN OF IIR FILTERS USING REAL VALUED GENETIC ALGORITHM DIGITAL FILTER DESIGN OF IIR FILTERS USING REAL VALUED GENETIC ALGORITHM MIKAEL NILSSON, MATTIAS DAHL AND INGVAR CLAESSON Bekinge Institute of Technoogy Department of Teecommunications and Signa Processing

More information

MODELING AND DESIGN OF MICRO-GROOVED FLAT PLATE EVAPORATOR

MODELING AND DESIGN OF MICRO-GROOVED FLAT PLATE EVAPORATOR Proceedings of ICMM005 3rd Internationa Conference on Microchannes and Minichannes June 13-15, 005, Toronto, Ontario, Canada ICMM005-75141 MODELING AND DESIGN OF MICRO-GROOVED FLAT PLATE EVAPORATOR Naoki

More information

Quantitative Phase Field Modeling of Boiling Phenomena

Quantitative Phase Field Modeling of Boiling Phenomena Quantitative Phase Fied Modeing of Boiing Phenomena Arnodo Badio Pau Scherrer Institute 5232 Viigen PSI, Schweiz arnodo.badio@psi.ch ABSTRACT A quantitative Phase Fied (PF) mode is deveoped for simuating

More information

Strain Energy in Linear Elastic Solids

Strain Energy in Linear Elastic Solids Strain Energ in Linear Eastic Soids CEE L. Uncertaint, Design, and Optimiation Department of Civi and Environmenta Engineering Duke Universit Henri P. Gavin Spring, 5 Consider a force, F i, appied gradua

More information

Demonstration of Ohm s Law Electromotive force (EMF), internal resistance and potential difference Power and Energy Applications of Ohm s Law

Demonstration of Ohm s Law Electromotive force (EMF), internal resistance and potential difference Power and Energy Applications of Ohm s Law Lesson 4 Demonstration of Ohm s Law Eectromotive force (EMF), interna resistance and potentia difference Power and Energy Appications of Ohm s Law esistors in Series and Parae Ces in series and Parae Kirchhoff

More information

High Spectral Resolution Infrared Radiance Modeling Using Optimal Spectral Sampling (OSS) Method

High Spectral Resolution Infrared Radiance Modeling Using Optimal Spectral Sampling (OSS) Method High Spectra Resoution Infrared Radiance Modeing Using Optima Spectra Samping (OSS) Method J.-L. Moncet and G. Uymin Background Optima Spectra Samping (OSS) method is a fast and accurate monochromatic

More information

(Specifications A and B)

(Specifications A and B) Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initias Genera Certificate of Education Advanced Subsidiary Examination June 2011 Question 1 2 Mark

More information

Incorporation of surface tension to interface energy balance in crystal growth

Incorporation of surface tension to interface energy balance in crystal growth Cryst. Res. Techno. 42, No. 9, 914 919 (2007) / OI 10.1002/crat.200710927 Incorporation of surface tension to interface energy baance in crysta growth M. Yidiz and. ost* Crysta Growth aboratory, epartment

More information

V.B The Cluster Expansion

V.B The Cluster Expansion V.B The Custer Expansion For short range interactions, speciay with a hard core, it is much better to repace the expansion parameter V( q ) by f( q ) = exp ( βv( q )), which is obtained by summing over

More information

Introduction. Figure 1 W8LC Line Array, box and horn element. Highlighted section modelled.

Introduction. Figure 1 W8LC Line Array, box and horn element. Highlighted section modelled. imuation of the acoustic fied produced by cavities using the Boundary Eement Rayeigh Integra Method () and its appication to a horn oudspeaer. tephen Kirup East Lancashire Institute, Due treet, Bacburn,

More information

International Journal of Mass Spectrometry

International Journal of Mass Spectrometry Internationa Journa of Mass Spectrometry 280 (2009) 179 183 Contents ists avaiabe at ScienceDirect Internationa Journa of Mass Spectrometry journa homepage: www.esevier.com/ocate/ijms Stark mixing by ion-rydberg

More information

Modelling single-bubble sonoluminescence with chemical reactions and Coulomb interactions

Modelling single-bubble sonoluminescence with chemical reactions and Coulomb interactions Modeing singe-bubbe sonouminescence with chemica reactions and Couomb interactions Ping He, Li Yuan Institute of Computationa Mathematics and LSEC Academy of Mathematics and Systems Science Chinese Academy

More information

Parallel-Axis Theorem

Parallel-Axis Theorem Parae-Axis Theorem In the previous exampes, the axis of rotation coincided with the axis of symmetry of the object For an arbitrary axis, the paraeaxis theorem often simpifies cacuations The theorem states

More information

Mathematical Model for Potassium Release from Polymer-coated Fertiliser

Mathematical Model for Potassium Release from Polymer-coated Fertiliser ARTICLE IN PRESS Biosystems Engineering (2004) 88 (3), 395 400 Avaiabe onine at www.sciencedirect.com doi:10.1016/j.biosystemseng.2004.03.004 SW}Soi and Water Mathematica Mode for Potassium Reease from

More information

Elements of Kinetic Theory

Elements of Kinetic Theory Eements of Kinetic Theory Statistica mechanics Genera description computation of macroscopic quantities Equiibrium: Detaied Baance/ Equipartition Fuctuations Diffusion Mean free path Brownian motion Diffusion

More information

Effects of energy loss on interaction dynamics of energetic electrons with plasmas. C. K. Li and R. D. Petrasso. 1 November 2008

Effects of energy loss on interaction dynamics of energetic electrons with plasmas. C. K. Li and R. D. Petrasso. 1 November 2008 PSFC/JA-8-3 ffects of energy oss on interaction dynamics of energetic ctrons with pasmas C. K. Li and R. D. Petrasso November 8 Pasma Science and Fusion Center Massachusetts Institute of Technoogy Cambridge,

More information

MATH 172: MOTIVATION FOR FOURIER SERIES: SEPARATION OF VARIABLES

MATH 172: MOTIVATION FOR FOURIER SERIES: SEPARATION OF VARIABLES MATH 172: MOTIVATION FOR FOURIER SERIES: SEPARATION OF VARIABLES Separation of variabes is a method to sove certain PDEs which have a warped product structure. First, on R n, a inear PDE of order m is

More information

Acoustic Nondestructive Testing and Measurement of Tension for Steel Reinforcing Members

Acoustic Nondestructive Testing and Measurement of Tension for Steel Reinforcing Members Acoustic Nondestructive Testing and Measurement of Tension for Stee Reinforcing Members Part 1 Theory by Michae K. McInerney PURPOSE: This Coasta and Hydrauics Engineering Technica Note (CHETN) describes

More information

Propagation of Detonation Waves in Bubble Liquid with Consideration for Relative Slip of Phases

Propagation of Detonation Waves in Bubble Liquid with Consideration for Relative Slip of Phases Internationa Journa of Pure and Appied Mathematics Voume 119 No. 15 218 2441-2445 ISSN: 114-95 (on-ine version) ur: http://www.acadpub.eu/hub/ Specia Issue http://www.acadpub.eu/hub/ Propagation of Detonation

More information

Physics 127c: Statistical Mechanics. Fermi Liquid Theory: Collective Modes. Boltzmann Equation. The quasiparticle energy including interactions

Physics 127c: Statistical Mechanics. Fermi Liquid Theory: Collective Modes. Boltzmann Equation. The quasiparticle energy including interactions Physics 27c: Statistica Mechanics Fermi Liquid Theory: Coective Modes Botzmann Equation The quasipartice energy incuding interactions ε p,σ = ε p + f(p, p ; σ, σ )δn p,σ, () p,σ with ε p ε F + v F (p p

More information

The mechanical energy balance equation used for the mh-b correlation 1 (2-6) sg u

The mechanical energy balance equation used for the mh-b correlation 1 (2-6) sg u Modified Haedron and Brown Method (mh-b) This is an empirica two-phase fow correation, the core of which is correation for iquid hod-up. Griffith correation is used for fow in the bubbe fow reion. The

More information

Selective Recovery of Lithium from Cathode Scrap of Spent Lithium Iron Phosphate Batteries: A Green Sustainably Process

Selective Recovery of Lithium from Cathode Scrap of Spent Lithium Iron Phosphate Batteries: A Green Sustainably Process Eectronic Suppementary Materia (ESI) for Green hemistry. This journa is The Roya Society of hemistry 2018 Eectronic Suppementary Materia (ESI) for Green hemistry. This journa is The Roya Society of hemistry

More information

STRUCTURE AND PROPERTIES OF LIQUIDS

STRUCTURE AND PROPERTIES OF LIQUIDS STUCTUE AND POPETIES O LIQUIDS. Surface tension a) phenomenon The surface of a iquid behaves ike a stretched eastic membrane (proof pond skater, sma drops spheres Expanation: r range of attraction r nm,

More information

Please do not adjust margins. where L denotes the lower flammability limit and U the upper flammability limit. The risk to obtain a flammable

Please do not adjust margins. where L denotes the lower flammability limit and U the upper flammability limit. The risk to obtain a flammable Eectronic Suppementary Materia (ESI) for. This journa is The Roya Society of Chemistry Pease do 2017 not adjust margins SUPPORTING INFORMATION Received 2017, Accepted 2017 DOI: 10.1039/c7me00026j www.rsc.org/

More information

Effects of Zeta Potential and Fiber Diameter on Coupled Heat and Liquid Moisture Transfer in Porous Polymer Materials

Effects of Zeta Potential and Fiber Diameter on Coupled Heat and Liquid Moisture Transfer in Porous Polymer Materials Journa of Fiber Bioengineering and Informatics Reguar Artice Effects of Zeta Potentia and Fiber Diameter on Couped Heat and Liquid Moisture Transfer in Porous Poymer Qing-Yong Zhu *, Jing Yang, Ming-Hui

More information

Research of Data Fusion Method of Multi-Sensor Based on Correlation Coefficient of Confidence Distance

Research of Data Fusion Method of Multi-Sensor Based on Correlation Coefficient of Confidence Distance Send Orders for Reprints to reprints@benthamscience.ae 340 The Open Cybernetics & Systemics Journa, 015, 9, 340-344 Open Access Research of Data Fusion Method of Muti-Sensor Based on Correation Coefficient

More information

Version 2.2 NE03 - Faraday's Law of Induction

Version 2.2 NE03 - Faraday's Law of Induction Definition Version. Laboratory Manua Department of Physics he University of Hong Kong Aims o demonstrate various properties of Faraday s Law such as: 1. Verify the aw.. Demonstrate the ighty damped osciation

More information

Wilson Ogoh and Dominic Groulx Department of Mechanical Engineering Dalhousie University, Halifax, NS, Canada

Wilson Ogoh and Dominic Groulx Department of Mechanical Engineering Dalhousie University, Halifax, NS, Canada Presented at the COMSOL Conference 2010 Boston Wison Ogoh and Dominic Groux Department of Mechanica Engineering Dahousie University, Haifax, NS, Canada Sensibe Heat Storage: A heat storage system that

More information

V.B The Cluster Expansion

V.B The Cluster Expansion V.B The Custer Expansion For short range interactions, speciay with a hard core, it is much better to repace the expansion parameter V( q ) by f(q ) = exp ( βv( q )) 1, which is obtained by summing over

More information

Multiscale Multilevel Approach to Solution of Nanotechnology Problems

Multiscale Multilevel Approach to Solution of Nanotechnology Problems Mathematica Modeing and Computationa Physics 2017 Mutiscae Mutieve Approach to Soution of Nanotechnoogy Probems Sergey Poyakov 1,2, and Viktoriia Podryga 1,3, 1 Kedysh Institute of Appied Mathematics of

More information

Fitting Algorithms for MMPP ATM Traffic Models

Fitting Algorithms for MMPP ATM Traffic Models Fitting Agorithms for PP AT Traffic odes A. Nogueira, P. Savador, R. Vaadas University of Aveiro / Institute of Teecommunications, 38-93 Aveiro, Portuga; e-mai: (nogueira, savador, rv)@av.it.pt ABSTRACT

More information

Lecture 6: Moderately Large Deflection Theory of Beams

Lecture 6: Moderately Large Deflection Theory of Beams Structura Mechanics 2.8 Lecture 6 Semester Yr Lecture 6: Moderatey Large Defection Theory of Beams 6.1 Genera Formuation Compare to the cassica theory of beams with infinitesima deformation, the moderatey

More information

Calculation of Aggregate Pavement Condition Indices from Damage Data Using Factor Analysis

Calculation of Aggregate Pavement Condition Indices from Damage Data Using Factor Analysis 214 TRANSPORTATION RESEARCH RECORD 1311 Cacuation of Aggregate Pavement Condition Indices from Damage Data Using Factor Anaysis RoHIT RAMASWAMY AND SuE McNEIL Aggregate pavement condition indices are used

More information

Nuclear data and modelling for monitoring compliance with the Comprehensive Test Ban Treaty

Nuclear data and modelling for monitoring compliance with the Comprehensive Test Ban Treaty Nucear data and modeing for monitoring compiance with the Comprehensive Test Ban Treaty R Britton, A Davies UK Radionucide Laboratory GBL15 rich.britton@awe.co.uk, ashey.davies@awe.co.uk Overview Introduction

More information

Transfer coefficients for evaporation of a system with a Lennard-Jones long-range spline potential

Transfer coefficients for evaporation of a system with a Lennard-Jones long-range spline potential PHYSICAL REVIEW E 75, 664 7 Transfer coefficients for evaporation of a system with a Lennard-Jones ong-range spine potentia Jiain Ge, S. Kjestrup,* D. Bedeaux, and J. M. Simon Department of Chemistry,

More information

Nonperturbative Shell Correction to the Bethe Bloch Formula for the Energy Losses of Fast Charged Particles

Nonperturbative Shell Correction to the Bethe Bloch Formula for the Energy Losses of Fast Charged Particles ISSN 002-3640, JETP Letters, 20, Vo. 94, No., pp. 5. Peiades Pubishing, Inc., 20. Origina Russian Text V.I. Matveev, D.N. Makarov, 20, pubished in Pis ma v Zhurna Eksperimenta noi i Teoreticheskoi Fiziki,

More information

Function Matching Design of Wide-Band Piezoelectric Ultrasonic Transducer

Function Matching Design of Wide-Band Piezoelectric Ultrasonic Transducer Function Matching Design of Wide-Band Piezoeectric Utrasonic Transducer Yingyuan Fan a, Hongqing An b Weifang Medica University, Weifang, 261053, China a yyfan@126.com, b hongqingan01@126.com Abstract

More information

DISTRIBUTION OF TEMPERATURE IN A SPATIALLY ONE- DIMENSIONAL OBJECT AS A RESULT OF THE ACTIVE POINT SOURCE

DISTRIBUTION OF TEMPERATURE IN A SPATIALLY ONE- DIMENSIONAL OBJECT AS A RESULT OF THE ACTIVE POINT SOURCE DISTRIBUTION OF TEMPERATURE IN A SPATIALLY ONE- DIMENSIONAL OBJECT AS A RESULT OF THE ACTIVE POINT SOURCE Yury Iyushin and Anton Mokeev Saint-Petersburg Mining University, Vasiievsky Isand, 1 st ine, Saint-Petersburg,

More information

Torsion and shear stresses due to shear centre eccentricity in SCIA Engineer Delft University of Technology. Marijn Drillenburg

Torsion and shear stresses due to shear centre eccentricity in SCIA Engineer Delft University of Technology. Marijn Drillenburg Torsion and shear stresses due to shear centre eccentricity in SCIA Engineer Deft University of Technoogy Marijn Drienburg October 2017 Contents 1 Introduction 2 1.1 Hand Cacuation....................................

More information

School of Electrical Engineering, University of Bath, Claverton Down, Bath BA2 7AY

School of Electrical Engineering, University of Bath, Claverton Down, Bath BA2 7AY The ogic of Booean matrices C. R. Edwards Schoo of Eectrica Engineering, Universit of Bath, Caverton Down, Bath BA2 7AY A Booean matrix agebra is described which enabes man ogica functions to be manipuated

More information

8 Digifl'.11 Cth:uits and devices

8 Digifl'.11 Cth:uits and devices 8 Digif'. Cth:uits and devices 8. Introduction In anaog eectronics, votage is a continuous variabe. This is usefu because most physica quantities we encounter are continuous: sound eves, ight intensity,

More information

School of Electrical Engineering, University of Bath, Claverton Down, Bath BA2 7AY

School of Electrical Engineering, University of Bath, Claverton Down, Bath BA2 7AY The ogic of Booean matrices C. R. Edwards Schoo of Eectrica Engineering, Universit of Bath, Caverton Down, Bath BA2 7AY A Booean matrix agebra is described which enabes man ogica functions to be manipuated

More information

INDUCED BIOCHEMICAL INTERACTIONS I N CRUDE OILS

INDUCED BIOCHEMICAL INTERACTIONS I N CRUDE OILS NDUCED BOCHEMCAL NTERACTONS N CRUDE OLS ET Premuzic and MS Lin Biosystems and Process Sciences Division Department of Appied Science Brookhaven Nationa Laboratory Upton, NY 11973 August 1996 To be Presented

More information

Systematic Integrated Process Design and Control of Binary Element Reactive Distillation Processes

Systematic Integrated Process Design and Control of Binary Element Reactive Distillation Processes Downoaded from orbit.dtu.dk on: Jan 03, 2019 Systematic Integrated Process Design and Contro of Binary Eement Reactive Distiation Processes Mansouri, Seyed Sohei; Saes-Cruz, Mauricio; Huusom, Jakob Kjøbsted;

More information

RELUCTANCE The resistance of a material to the flow of charge (current) is determined for electric circuits by the equation

RELUCTANCE The resistance of a material to the flow of charge (current) is determined for electric circuits by the equation INTRODUCTION Magnetism pays an integra part in amost every eectrica device used today in industry, research, or the home. Generators, motors, transformers, circuit breakers, teevisions, computers, tape

More information

Several Rules about the Magnetic Moment of Rotational Charged Bodies

Several Rules about the Magnetic Moment of Rotational Charged Bodies IES ONLINE, VOL. 3, NO. 6, 007 81 Severa ues about the Magnetic Moment of otationa Charged Bodies Guo-Quan Zhou Department of hsics, Wuhan Universit, Wuhan 43007, China Abstract A strict and deicate anaog

More information

Candidate Number. General Certificate of Education Advanced Level Examination June 2010

Candidate Number. General Certificate of Education Advanced Level Examination June 2010 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initias Genera Certificate of Education Advanced Leve Examination June 2010 Question 1 2 Mark Physics

More information

MECHANICAL ENGINEERING

MECHANICAL ENGINEERING 1 SSC-JE SFF SELECION COMMISSION MECHNICL ENGINEERING SUDY MERIL Cassroom Posta Correspondence est-series16 Rights Reserved www.sscje.com C O N E N 1. SIMPLE SRESSES ND SRINS 3-3. PRINCIPL SRESS ND SRIN

More information

NUMERICAL SIMULATION OF PARTICLE FLOW IN A NATURAL GAS SUPERSONIC SEPARATOR

NUMERICAL SIMULATION OF PARTICLE FLOW IN A NATURAL GAS SUPERSONIC SEPARATOR Eeventh Internationa Conference on CFD in the Mineras and Process Industries CSIRO, Mebourne, Austraia 7-9 December 2015 NUMERICAL SIMULATION OF PARTICLE FLOW IN A NATURAL GAS SUPERSONIC SEPARATOR Yan

More information