Primary Velocity Distribution in Open Channels with Different Vegetation Layout - Experiment and Numerical Simulation -
|
|
|
- Felicia Bell
- 5 years ago
- Views:
Transcription
1 The 4 th Japan-Korea Mn-ymposm on Modelng and Measrement of Hydralc Flow March 28, 2014, Yonse Unversty, Korea Prmary Velocty Dstrbton n Open Channels wth Dfferent Vegetaton Layot - Eperment and Nmercal mlaton - Yoshhsa KAWAHARA Dept. of Cvl and Envronmental Engneerng Hroshma Unversty, Japan Hroshma Unversty The Ohta Rver n Hroshma cty
2 OUTLINE OF PREENTATION Introdcton Epermental setp & condtons Nmercal model Comparson between eperment and nmercal smlaton mmary Hroshma Unversty
3 BACKGROUND OF THE TUDY Vegetaton s a ey factor n rver management. It has mltfnctons, sch as To change magntde and drecton of flood flow To stablze allval channels To create dfferent habtats stable for bodversty Wash-ot of vegetaton and eroson of floodplan n Ota Rver de to a bg flood n Hroshma Unversty
4 BACKGROUND OF THE TUDY Vegetaton eerts sgnfcant effects on the morphologcal behavors of allval channels by stablzng channels and bans. Vegetaton growth n the Tama Rver after dam constrcton (photos by Kehn wor offce, MLIT) Hroshma Unversty
5 BACKGROUND OF THE TUDY Many stdes have been carred ot to reveal the effects of vegetaton on mass and momentm transfer n open channels wth vegetaton. Compond channels flows wth vegetaton have been stded by researchers, sch as Pasche and Rove (1985), Naot et al. (1996), Bennett (2002), Kang and Cho (2006), Rameshwaran and hono (2007), etc. There stll reman many nnowns wth respect to flowvegetaton nteracton modelng, n partclar n the presence of large horzontal vortces and patched vegetaton belts. Hroshma Unversty
6 OBJECTIVE OF THE TUDY To gan nsght nto mean flow feld and large vortces n a prsmatc open channel n the presence of emergent vegetaton, To clarfy the performance of a non-lnear -ε model copled wth a vegetaton model for trblent flows n a straght channel wth dfferent layot of vegetaton. We need a relable nmercal method that can predct momentm and sedment transfer n the presence of vegetaton whch may topple or be washed ot drng floods. Hroshma Unversty
7 EXPERIMENTAL ETUP y Flow 80 cm y d Vegetaton Belt Bed slope: 1/ cm Flow 2,200 cm Vegetaton Unt Length: 99 cm Wdth: 27 cm Case-1 Vegetaton: contnos, along the channel center Model Vegetaton Emergent rgd cylnders Dameter: 3.0 mm Heght: 6.0 cm pacng: 3.0 cm Hroshma Unversty
8 EXPERIMENTAL ETUP & CONDITION y Flow 80 cm 26.5 cm Vegetaton Belt 27 cm Case-1 Vegetaton: contnos, along the channel center y Flow 80 cm 27 cm Case-2 Vegetaton: contnos, along a sde wall y 9.5 cm Flow 80 cm 27 cm Case-3 Vegetaton: contnos, off the channel center y Flow 80 cm 26.5 cm 99.0 cm 99.0 cm Case-4 27 cm Vegetaton: patched, along the channel center Hroshma Unversty
9 EXPERIMENTAL CONDITION & RATING CURVE Case Dscharge (l/s) Normal Depth (cm) Case-1 Case-4 Patched vegetaton belts show larger carryng capacty of flow than contnos ones. Ths reslt has been confrmed for dfferent ntervals of vegetaton patches.
10 FLOW VIUALIZATION Case-1 Vegetaton: contnos, along the channel center Large Vorte L: 80~100 cm T: 3.5~4.5 sec Case-2 Vegetaton: contnos, along a sde wall Large Vorte L=80~100 L: 90~110 cm cm T=3.5~4.5 T: 4.0~5.0 sec sec Case-3 Vegetaton: contnos, off the channel center Large Vorte L (rght): 80~100 cm L (left): 30~40 cm T(rght): 4.0~5.0 sec T(left): 3.0~4.0 sec Hroshma Unversty
11 FLOW VIUALIZATION Case-1 Vegetaton: contnos, along the channel center Large Vorte L: 80~100 cm T: 3.5~4.5 sec Case-4 Vegetaton: patched, along the channel center Large Vorte L=80~100 L: cm cm T=3.5~4.5 T: sec sec Hroshma Unversty
12 p P g t 2 2 ' ' 1 1 BAIC EQUATION WITH RAN MODEL Momentm eqatons: D F U U C p U Doble-averaged velocty: 0 λ= D/d*dy ; D:Dameter of stem X Y d dy ' '' ' U U U Contnty eqaton: Hroshma Unversty (λ : vegetaton densty, ) 0.9 C D
13 TURBULENCE MODEL t 3 2 ' ' Lnear -ε Model Non-Lnear -ε Model (Kmra-Hosoda) , mn ; M C C t ) 3 1 ( 3 2 ' ' 3 1 t t C U U U U ; 2 1 ; 2 1 ), ma( M The non-lnear terms are fond to be necessary to prodce secondary crrents of the second nd, large horzontal vortces at the nterface between vegetaton and flow regon. Hroshma Unversty
14 TURBULENCE ENERGY AND DIIPATION RATE rod m t m P U t C P C U t rod m t m 2 1 Transport eqatons for and ε : U C FU D 2 orce/ n term for : orce/ n term for ε : U C FU D Hroshma Unversty
15 DICRETIZATION & COMPUTATIONAL CONDITION Dscretzaton: Fnte Volme Method +Flly mplct scheme Algorthm: IMPLE algorthm Convecton terms: QUICK scheme for momentm eqs. Power-law scheme for and ε eqs. Bondary condtons: Wall fncton technqe for sold walls, ymmetry condton for free srfac, Gven vales at nlet, Otflow condton at downstream end. Nmber of grd ponts: Tme nterval: 0.01 sec Hroshma Unversty
16 INTANTANEOU VELOCITY & WATER LEVEL 20cm/s 20cm/s Case 1 (z=1.9cm) Case 1 20cm/s 20cm/s A seres of large vortces develop along the nterface. The calclated sze of large vortces are slghtly nderestmated. Case 2 (z=2.1cm) Case 2 The core of large vortces has low water level. 20cm/s 20cm/s Case 3 (z=1.8cm) Case 3 Velocty vectors mean streamwse velocty at nterface Hroshma Unversty
17 FLUCTUATION OF WATER LEVEL y 53.5 cm 26.5 cm 2.0 cm Flow Case-1 (cm) h (s) h (cm) Ether sde of flow regon Ether sde of flow regon h (s) h Ether sde of vegetaton belt Eperment Ether sde of vegetaton belt Nmercal mlaton
18 FLUCTUATION OF VELOCITY COMPONENT y Flow 26.5 cm Case-1 (cm/s) ' v (s) ' v Eperment (z=2.5cm) Nmercal mlaton (z=2.9cm) and v at the nterface between vegetaton belt and flow regon (y=26.5cm) Hroshma Unversty
19 FLUCTUATION OF WATER LEVEL AND VELOCITY COMPONENT y 53.5 cm Flow Case-2 h' h' Water level Water level ' v and v (z=2.0cm) Eperment ' and v (z=2.1cm) Nmercal mlaton
20 FLUCTUATION OF VELOCITY COMPONENT y 44.5 cm Flow Case-3 ' v ' v and v (z=2.2cm) Eperment ' and v (z=2.2cm) Nmercal mlaton Hroshma Unversty
21 FLUCTUATION OF WATER LEVEL y 26.5 cm =1260cm =1360cm 99 cm 99 cm 53.5 cm 26.5 cm 2.0 cm 27 cm Case-4 h' h' Ot of phase h' h' In phase
22 FLUCTUATION OF VELOCITY COMPONENT y 26.5cm =1260cm =1360cm 99cm 99cm 26.5 cm 27 cm Case-4 ' v' ' v' =1260cm, y=26.5cm, z=2.5cm =1360cm, y=26.5cm, z=2.5cm
23 MEAN VELOCITY (U/UM) Case-1 Case-1 Case-2 Case-2 Case-3 Case-3 Eperment Nmercal mlaton Hroshma Unversty
24 MEAN VELOCITY (U/UM) y =1203cm =1250cm =1296cm =1200cm =1203cm =1250cm =1296cm =1302cm =1349cm =1302cm =1349cm Hroshma Unversty
25 UMMARY 1. Large vortces have developed along the edge of vegetaton belt. Ther scale and domnant freqency depend on the vegetaton layot. 2. The present nmercal model can reprodce mean flow feld and large vortces reasonably well even when the prmary velocty shows large dfference across the vegetaton belt. However, t tends to nderestmate the flctatng prmary velocty, whch needs frther dscsson. 3. The nmercal model needs frther valdaton for flows wth large coherent vortces and patched vegetaton belts. Hroshma Unversty
26 Than yo for yor nd attenton. Any qestons? H Rver wth actve sand movement Hroshma Unversty
Unsteady Flow Simulation of Alternate Bars in a Semi-Circle Bend
Unsteady Flow Smlaton of Alternate Bars n a Sem-Crcle Bend Presented by Jennfer Dan,, Ph.D., P.E. Assocate Research Professor Desert Research Insttte Unversty of Nevada Hgher Edcaton SOUTHERN NEVADA SCIENCE
Introduction to Turbulence Modelling
Introdcton to Trblence Modellng 1 Nmercal methods 0 1 t Mathematcal descrpton p F Reslts For eample speed, pressre, temperatre Geometry Models for trblence, combston etc. Mathematcal descrpton of physcal
AE/ME 339. K. M. Isaac. 8/31/2004 topic4: Implicit method, Stability, ADI method. Computational Fluid Dynamics (AE/ME 339) MAEEM Dept.
AE/ME 339 Comptatonal Fld Dynamcs (CFD) Comptatonal Fld Dynamcs (AE/ME 339) Implct form of dfference eqaton In the prevos explct method, the solton at tme level n,,n, depended only on the known vales of,
Turbulence and hot-wire measurements Mek 4600
Trblence and hot-wre measrements Mek 4600 Mrat Ttkn Insttte for Energy Technology (IFE) Process and Fld Flow Technology Keller, Norway École Centrale de Llle Laboratore de Mécanqe de Llle (LML) Vlleneve
Numerical Transient Heat Conduction Experiment
Numercal ransent Heat Conducton Experment OBJECIVE 1. o demonstrate the basc prncples of conducton heat transfer.. o show how the thermal conductvty of a sold can be measured. 3. o demonstrate the use
Modeling Mood Variation and Covariation among Adolescent Smokers: Application of a Bivariate Location-Scale Mixed-Effects Model
Modelng Mood Varaton and Covaraton among Adolescent Smokers: Applcaton of a Bvarate Locaton-Scale Mxed-Effects Model Oksana Pgach, PhD, Donald Hedeker, PhD, Robn Mermelsten, PhD Insttte for Health Research
3-D NUMERICAL SIMULATION OF FLOW AND CLEAR WATER SCOUR BY INTERACTION BETWEEN BRIDGE PIERS
Tenth Internatonal Water Technology Conference, IWTC10 2006, Aleandra, Egypt 899 3-D NMERICAL SIMLATION OF FLOW AND CLEAR WATER SCOR BY INTERACTION BETWEEN BRIDGE PIERS Gamal A. A. Abouzed, Hassan I. Mohamed
Friction and Ocean Turbulence Part I
Frcton and Ocean Trblence Part I L. Goodman General Physcal Oceanography MAR 555 School for Marne Scences and Technology Umass-Dartmoth Frcton and Ocean Trblence Part I 3 Types of Flow Potental Flow No
3/31/ = 0. φi φi. Use 10 Linear elements to solve the equation. dx x dx THE PETROV-GALERKIN METHOD
THE PETROV-GAERKIN METHO Consder the Galern solton sng near elements of the modfed convecton-dffson eqaton α h d φ d φ + + = α s a parameter between and. If α =, we wll have the dscrete Galern form of
EQUATION CHAPTER 1 SECTION 1STRAIN IN A CONTINUOUS MEDIUM
EQUTION HPTER SETION STRIN IN ONTINUOUS MEIUM ontent Introdcton One dmensonal stran Two-dmensonal stran Three-dmensonal stran ondtons for homogenety n two-dmensons n eample of deformaton of a lne Infntesmal
Turbulent Flow Structure in Meandering Vegetated Open Channel
Rver Flow 010 - Dttrch, Koll, Aberle & Gesenhaner (eds) - 010 Bundesanstalt für Wasserbau ISBN 978-3-93930-00-7 Turbulent Flow Structure n Meanderng Vegetated Open hannel F. Jahra, H. Yamamoto, F. Hasegawa
Content. What is CFD Why CFD Application of CFD CFD for oil & gas CFD analysis process Related software Issue related with software selection
Content What s CFD Why CFD Applcaton of CFD CFD for ol & gas CFD analyss process Related software Isse related wth software selecton Pre-processng Solver Post-processng Typcal CFD problem Grd Independence
MEMBRANE ELEMENT WITH NORMAL ROTATIONS
9. MEMBRANE ELEMENT WITH NORMAL ROTATIONS Rotatons Mst Be Compatble Between Beam, Membrane and Shell Elements 9. INTRODUCTION { XE "Membrane Element" }The comple natre of most bldngs and other cvl engneerng
STUDY ON TWO PHASE FLOW IN MICRO CHANNEL BASED ON EXPERI- MENTS AND NUMERICAL EXAMINATIONS
Blucher Mechancal Engneerng Proceedngs May 0, vol., num. www.proceedngs.blucher.com.br/evento/0wccm STUDY ON TWO PHASE FLOW IN MICRO CHANNEL BASED ON EXPERI- MENTS AND NUMERICAL EXAMINATIONS Takahko Kurahash,
The Bellman Equation
The Bellman Eqaton Reza Shadmehr In ths docment I wll rovde an elanaton of the Bellman eqaton, whch s a method for otmzng a cost fncton and arrvng at a control olcy.. Eamle of a game Sose that or states
NUMERICAL INVESTIGATION OF TURBULENT SWIRLING FLOWS THROUGH AN ABRUPT EXPANSION TUBE
AJSTD Vol. 23 Isses 1&2 pp. 55-70 (2006) NUMERICAL INVESTIGATION OF TURBULENT SWIRLING FLOWS THROUGH AN ABRUPT EXPANSION TUBE S. Eamsa-ard * Department of Mechancal Engneerng, Faclty of Engneerng, Mahanaorn
A Porous Media Approach for Complex Heat and Fluid Flow System
A Poros Meda Approach or Complex Heat and Fld Flow System Ara Naayama, Dept. o Mechancal Engneerng, Shzoa Unversty, Hamamats, 43-856 Japan Insttte o Promechancs, Whan Polytechnc Unversty, Hbe, Whan, 43003
Problem Set 1 Issued: Wednesday, February 11, 2015 Due: Monday, February 23, 2015
MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING CAMBRIDGE MASSACHUSETTS 09.9 NUMERICAL FLUID MECHANICS SPRING 05 Problem Set Issed: Wednesday Febrary 05 De: Monday Febrary 05
Suppression of Low-frequency Lateral Vibration in Tilting Vehicle Controlled by Pneumatic Power
Challenge D: A world of servces for passengers Sppresson of Low-freqency Lateral Vbraton n ltng Vehcle Controlled by Pnematc Power A. Kazato, S.Kamoshta Ralway echncal Research Insttte, okyo, Japan. Introdcton
Research Note NONLINEAR ANALYSIS OF SEMI-RIGID FRAMES WITH RIGID END SECTIONS * S. SEREN AKAVCI **
Iranan Jornal of Scence & Technology, Transacton, Engneerng, Vol., No., pp 7-7 rnted n The Islamc Repblc of Iran, 7 Shraz Unversty Research Note NONLINER NLYSIS OF SEMI-RIGID FRMES WIT RIGID END SECTIONS
ESS 265 Spring Quarter 2005 Time Series Analysis: Error Analysis
ESS 65 Sprng Qarter 005 Tme Seres Analyss: Error Analyss Lectre 9 May 3, 005 Some omenclatre Systematc errors Reprodcbly errors that reslt from calbraton errors or bas on the part of the obserer. Sometmes
NUMERICAL SIMULATION OF 3D TURBULENT FLOW STRUCTURES AROUND AN ATTRACTING GROIN WITH LOCAL SCOUR
NUMERICAL SIMULATION OF 3D TURBULENT FLOW STRUCTURES AROUND AN ATTRACTING GROIN WITH LOCAL SCOUR ICHIRO KIMURA Department of Cvl and Envronmental Engneerng, Matsue Natonal College of Technology 4-4 Nsh-kuma,
CLOSED-FORM CHARACTERIZATION OF THE CHANNEL CAPACITY OF MULTI-BRANCH MAXIMAL RATIO COMBINING OVER CORRELATED NAKAGAMI FADING CHANNELS
CLOSED-FORM CHARACTERIZATION OF THE CHANNEL CAPACITY OF MULTI-BRANCH MAXIMAL RATIO COMBINING OVER CORRELATED NAKAGAMI FADING CHANNELS Yawgeng A. Cha and Karl Yng-Ta Hang Department of Commncaton Engneerng,
EN40: Dynamics and Vibrations. Homework 4: Work, Energy and Linear Momentum Due Friday March 1 st
EN40: Dynamcs and bratons Homework 4: Work, Energy and Lnear Momentum Due Frday March 1 st School of Engneerng Brown Unversty 1. The fgure (from ths publcaton) shows the energy per unt area requred to
1-Dimensional Advection-Diffusion Finite Difference Model Due to a Flow under Propagating Solitary Wave
014 4th Internatonal Conference on Future nvronment and nergy IPCB vol.61 (014) (014) IACSIT Press, Sngapore I: 10.776/IPCB. 014. V61. 6 1-mensonal Advecton-ffuson Fnte fference Model ue to a Flow under
ULTRASONIC REFLECTION FROM ROUGH SURFACES IN WATER. James H. Rose and David K. Hsu. Ames Laboratory, USDOE Iowa State University Ames, IA 50011
ULTRASONC REFLECTON FROM ROUGH SURFACES N WATER James H. Rose and Davd K. Hs Ames Laboratory, USDOE owa State Unversty Ames, A 50011 NTRODUCTON The se of ltrasond for mmerson mode qanttatve nondestrctve
A large scale tsunami run-up simulation and numerical evaluation of fluid force during tsunami by using a particle method
A large scale tsunam run-up smulaton and numercal evaluaton of flud force durng tsunam by usng a partcle method *Mtsuteru Asa 1), Shoch Tanabe 2) and Masaharu Isshk 3) 1), 2) Department of Cvl Engneerng,
PART 8. Partial Differential Equations PDEs
he Islamc Unverst of Gaza Facult of Engneerng Cvl Engneerng Department Numercal Analss ECIV 3306 PAR 8 Partal Dfferental Equatons PDEs Chapter 9; Fnte Dfference: Ellptc Equatons Assocate Prof. Mazen Abualtaef
GRID-SCALE DEPENDENCY OF SUBGRID-SCALE STRUCTURE EFFECTS IN HYDRAULIC MODELS OF RIVERS AND STREAMS
Proceedngs of McMat005: 005 Jont ASME/ASCE/SES Conference on Mechancs and Materals Jne 1-3, 005, Baton Roge, Losana, SA 64 GRID-SCALE DEPENDENCY OF SBGRID-SCALE STRCTRE EFFECTS IN HYDRALIC MODELS OF RIVERS
SIMULATION OF TURBULENT FLOW ACROSS IN-LINE TUBE BUNDLE USING DIFFERENT URANS MODELS
ALGERIAN REPUBLIC DEMOCRATIC AND POPULAR Mnstry of teachng and scentfc research UNIVERSITY OF SCIENCE AND TECHNOLOGY MOHAMED BOUDHIAF ORAN U.S.T.O FACULTY OF MECHANICAL ENGINEERING DEPARTEMENT OF MARINE
FORCED CONVECTION HEAT TRANSFER FROM A RECTANGULAR CYLINDER: EFFECT OF ASPECT RATIO
ISTP-,, PRAGUE TH INTERNATIONAL SYMPOSIUM ON TRANSPORT PHENOMENA FORCED CONVECTION HEAT TRANSFER FROM A RECTANGULAR CYLINDER: EFFECT OF ASPECT RATIO Mohammad Rahnama*, Seyed-Mad Hasheman*, Mousa Farhad**
CFD ANALYSIS ON THE EFFECT OF PARTICLES DENSITY AND BODY DIAMETER IN A TANGENTIAL INLET CYCLONE HEAT EXCHANGER
CFD ANALYSIS ON THE EFFECT OF PARTICLES DENSITY AND BODY DIAMETER IN A TANGENTIAL INLET CYCLONE HEAT EXCHANGER Mothlal THULASIRAMAN* a, Ptchand KASIVISWANATHAN b a *Deartment of Mechancal Engneerng, T.J.S.
One-sided finite-difference approximations suitable for use with Richardson extrapolation
Journal of Computatonal Physcs 219 (2006) 13 20 Short note One-sded fnte-dfference approxmatons sutable for use wth Rchardson extrapolaton Kumar Rahul, S.N. Bhattacharyya * Department of Mechancal Engneerng,
Physics 4B. Question and 3 tie (clockwise), then 2 and 5 tie (zero), then 4 and 6 tie (counterclockwise) B i. ( T / s) = 1.74 V.
Physcs 4 Solutons to Chapter 3 HW Chapter 3: Questons:, 4, 1 Problems:, 15, 19, 7, 33, 41, 45, 54, 65 Queston 3-1 and 3 te (clockwse), then and 5 te (zero), then 4 and 6 te (counterclockwse) Queston 3-4
Lecture Note for Open Channel Hydraulics
Lectre ote for Open Channel Hdralcs CAPTER FIVE GRADUALLY-VARIED FLOW I OPE CHAEL Gradall-vared flow (GVF) The flow s a stead non-nform flow constant hdralcs characterstcs wth tme nterval The depth vares
3-D Numerical computations of turbulence in a partially vegetated shallow channel
Rver Flow 010 - Dttrch, Koll, Aberle & Gesenhaner (eds) - 010 Bundesanstalt für Wasserbau ISBN 978-3-93930-00-7 3-D Numercal computatons of turbulence n a partally vegetated shallow channel D. Soulots
THE NEAR-WALL INFLUENCE ON THE FLOW AROUND A SINGLE SQUARE CYLINDER.
THE NEAR-WALL INFLUENCE ON THE FLOW AROUND A SINGLE SQUARE CYLINDER. Campregher, Rubens Faculty of Mechancal Engneerng, FEMEC Federal Unversty of Uberlânda, UFU 38400-902 Uberlânda - Brazl campregher@mecanca.ufu.br
Supporting Information
Sortng Informaton Constant H Moleclar Dynamcs of Protens n Exlct Solvent wth Proton Tatomersm Garrett B. Goh, Benjamn S. Hlbert, Hqng Zho, and Charles L. Brooks III *,, Deartment of Chemstry, Unversty
FUNDAMENTALS OF FINITE DIFFERENCE METHODS
FUNDAMENTALS OF FINITE DIFFERENCE METHODS By, Varn Khatan 3 rd year Undergradate IIT Kanpr Spervsed by, Professor Gatam Bswas, Mechancal Engneerng IIT Kanpr We wll dscss. Classfcaton of Partal Dfferental
Application of the Adjoint Method for Vehicle Aerodynamic Optimization. Dr. Thomas Blacha, Audi AG
Applcaton of the Adjont Method for Vehcle Aerodynamc Optmzaton Dr. Thomas Blacha, Aud AG GoFun, Braunschweg 22.3.2017 2 AUDI AG, Dr. Thomas Blacha, Applcaton of the Adjont Method for Vehcle Aerodynamc
Journal of Physics & Astronomy
Jornal of Physcs & Astronomy Revew Vol Iss Behavor Stdy of Electromagnetc araday Rotaton for Mltple Reflecton of an Electromagnetc Wave from Sccessve Implsve ravtatonal Waves n eneral Relatvty Albadaw
The Folded Normal Stochastic Frontier. Gholamreza Hajargasht Department of Economics University of Melbourne, Australia
The Folded Normal Stochastc Fronter Gholamreza Hajargasht Department of Economcs Unversty of Melborne, Astrala Abstract We ntrodce a stochastc fronter model wth a folded normal neffcency dstrbton. Ths
Mean flow characteristics, vertical structures and bed shear stress at open channel bifurcation
P a g e 99 Journal of Appled Research n Water and Wastewater 7(017) 99-304 Orgnal paper Mean flow characterstcs, vertcal structures and bed shear stress at open channel bfurcaton Abar Safarzadeh 1,*, Baba
PHY2049 Exam 2 solutions Fall 2016 Solution:
PHY2049 Exam 2 solutons Fall 2016 General strategy: Fnd two resstors, one par at a tme, that are connected ether n SERIES or n PARALLEL; replace these two resstors wth one of an equvalent resstance. Now
Principles of Food and Bioprocess Engineering (FS 231) Solutions to Example Problems on Heat Transfer
Prncples of Food and Boprocess Engneerng (FS 31) Solutons to Example Problems on Heat Transfer 1. We start wth Fourer s law of heat conducton: Q = k A ( T/ x) Rearrangng, we get: Q/A = k ( T/ x) Here,
THE CURRENT BALANCE Physics 258/259
DSH 1988, 005 THE CURRENT BALANCE Physcs 58/59 The tme average force between two parallel conductors carryng an alternatng current s measured by balancng ths force aganst the gravtatonal force on a set
Fracture analysis of FRP composites using a meshless finite point collocation method
Forth Internatonal Conference on FRP Compostes n Cvl Engneerng (CICE008) -4Jly 008, Zrch, Swtzerland Fractre analyss of FRP compostes sng a meshless fnte pont collocaton method M. Shahverd & S. Mohammad
Modeling and Evaluation of Air pollution from a Gaseous Flare in an Oil and Gas Processing Area
Selected Papers from the WSEAS onferences n Span, September 8 Santander, antabra, Span, September 3-5, 8 Modelng and Evalaton of Ar pollton from a Gaseos Flare n an Ol and Gas Processng Area D. KAFOROSAN,
Spatial Statistics and Analysis Methods (for GEOG 104 class).
Spatal Statstcs and Analyss Methods (for GEOG 104 class). Provded by Dr. An L, San Dego State Unversty. 1 Ponts Types of spatal data Pont pattern analyss (PPA; such as nearest neghbor dstance, quadrat
Rotor Noise Modeling Kenneth S. Brentner Penn State University
Rotor Nose Modelng Kenneth S. Brentner Penn State Unversty Joby Avaton S4 www.jobyavaton.com 2018 Kenneth S. Brentner. All rghts reserved. 5 th Transformatve Vertcal Flght Workshop, January 18-19, 2018
Title. Author(s)Tabe, Yutaka; Lee, Yongju; Chikahisa, Takemi; Kozaka. CitationJournal of Power Sources, 193(1): Issue Date
Ttle Numercal smulaton of lqud water and gas flow n electrolyte membrane fuel cells usng the lattce Bo Author(s)Tabe, Yutaka; Lee, Yongju; Chkahsa, Takem; Kozaka CtatonJournal of Power Sources, 93(): 24-3
Turbulent Flow in Curved Square Duct: Prediction of Fluid flow and Heat transfer Characteristics
Internatonal Research Journal of Engneerng and Technology (IRJET) e-issn: 2395-56 Volume: 4 Issue: 7 July -217 www.ret.net p-issn: 2395-72 Turbulent Flow n Curved Square Duct: Predcton of Flud flow and
Dynamics of a Discrete Predator-Prey System with Beddington-DeAngelis Function Response
Apped Mathematcs 3 389-394 http://dxdoorg/46/am46 Pshed Onne Apr (http://wwwscrporg/jorna/am) Dynamcs of a Dscrete Predator-Prey System wth Beddngton-DeAnges Fncton Response Qn Fang Xaopng L * Mey Cao
Introduction to elastic wave equation. Salam Alnabulsi University of Calgary Department of Mathematics and Statistics October 15,2012
Introdcton to elastc wave eqaton Salam Alnabls Unversty of Calgary Department of Mathematcs and Statstcs October 15,01 Otlne Motvaton Elastc wave eqaton Eqaton of moton, Defntons and The lnear Stress-
Page 1. Physics 131: Lecture 14. Today s Agenda. Things that stay the same. Impulse and Momentum Non-constant forces
Physcs 131: Lecture 14 Today s Agenda Imulse and Momentum Non-constant forces Imulse-momentum momentum thm Conservaton of Lnear momentum Eternal/Internal forces Eamles Physcs 201: Lecture 1, Pg 1 Physcs
Constraining the Sum of Multivariate Estimates. Behrang Koushavand and Clayton V. Deutsch
Constranng the Sm of Mltarate Estmates Behrang Koshaand and Clayton V. Detsch Geostatstcans are ncreasngly beng faced wth compostonal data arsng from fll geochemcal samplng or some other sorce. Logratos
Computational analysis of heat transfer and fluid flow characteristics over flat bars of different heights
Reve des Energes Renovelables Vol. 19 N 3 (2016) 345-366 Comptatonal analyss of heat transfer and fld flow characterstcs over flat bars of dfferent heghts Y. Menn *, A. Azz and C. Zdan Unté de Recherche
A new approach for the numerical modelling of the groundwater flow in the fractured rock massifs
Predctons n Ungaged asns: Promse and Progress (Proceedngs of symposm S7 held drng the Seventh IAHS Scentfc Assembly at Foz do Igaç, razl, Aprl 005). IAHS Pbl. 0, 006. 55 A new approach for the nmercal
Numerical Investigation of Transonic Supercritical CO2 Flows with Nonequilibrium Condensation in a Laval Nozzle
The 6th Internatonal Spercrtcal CO Power Cycles Symposm March 7-9, 18, Pttsbrh, Pennsylvana Nmercal Investaton of Transonc Spercrtcal CO Flows wth Noneqlbrm Condensaton n a Laval Nozzle Hronor MIYAZAWA
A Comparative Study on the Molecular- and Continuum-Based Simulation Methods for Gas Flow and Mixing in Micro/Nanochannels
Proceedngs of the 3 rd Internatonal Conference on Fld Flow, Heat and Mass ransfer (FFHM 6) Ottawa, Canada May 3, 6 Paper No. 68 A Comparatve Stdy on the Moleclar- and Contnm-Based Smlaton Methods for Gas
SYSTEMATIC DERIVATION OF JUMP CONDITIONS FOR THE IMMERSED INTERFACE METHOD IN THREE-DIMENSIONAL FLOW SIMULATION
SIAM J SCI COMPUT Vol 7 No 6 pp 948 98 c 6 Socety for Indstral and Appled Mathematcs SYSTEMATIC DERIVATION OF JUMP CONDITIONS FOR THE IMMERSED INTERFACE METHOD IN THREE-DIMENSIONAL FLOW SIMULATION SHENG
Lecture 5.8 Flux Vector Splitting
Lecture 5.8 Flux Vector Splttng 1 Flux Vector Splttng The vector E n (5.7.) can be rewrtten as E = AU (5.8.1) (wth A as gven n (5.7.4) or (5.7.6) ) whenever, the equaton of state s of the separable form
Simulation of Turbulent Flow Using FEM
Internatonal Journal of Engneerng and Technology Volume 2 No. 8, August, 2012 Smulaton of Turbulent Flow Usng FEM Sabah Tamm College of Computng, AlGhurar Unversty, Duba, Unted Arab Emrates. ABSTRACT An
HYBRID LBM-FVM AND LBM-MCM METHODS FOR FLUID FLOW AND HEAT TRANSFER SIMULATION
HYBRID LBM-FVM AND LBM-MCM METHODS FOR FLUID FLOW AND HEAT TRANSFER SIMULATION Zheng L a,b, Mo Yang b and Yuwen Zhang a* a Department of Mechancal and Aerospace Engneerng, Unversty of Mssour, Columba,
A solver for free-surface flow in heterogeneous porous media
A solver for free-surface flow n heterogeneous porous meda Olver Oxtoby Johan Heyns Aeronautc Systems, Councl for Scentfc and Industral Research Pretora, South Afrca Free-surface flow: Sloshng Smple small-ampltude
SEDIMENT TRANSPORT PROCESSES IN MOUNTAIN AREA OF KINUGAWA RIVER
SEDIMENT TRANSPORT PROCESSES IN MOUNTAIN AREA OF KINUGAWA RIVER Catherne G. Jaceldone 1 Supervsors: Atsuhro Yorozuya 2 MEE15625 Shnj Egashra ABSTRACT Ths study ams to develop a sedment transport model
Module 1 : The equation of continuity. Lecture 1: Equation of Continuity
1 Module 1 : The equaton of contnuty Lecture 1: Equaton of Contnuty 2 Advanced Heat and Mass Transfer: Modules 1. THE EQUATION OF CONTINUITY : Lectures 1-6 () () () (v) (v) Overall Mass Balance Momentum
MATH 5630: Discrete Time-Space Model Hung Phan, UMass Lowell March 1, 2018
MATH 5630: Dscrete Tme-Space Model Hung Phan, UMass Lowell March, 08 Newton s Law of Coolng Consder the coolng of a well strred coffee so that the temperature does not depend on space Newton s law of collng
Week 9 Chapter 10 Section 1-5
Week 9 Chapter 10 Secton 1-5 Rotaton Rgd Object A rgd object s one that s nondeformable The relatve locatons of all partcles makng up the object reman constant All real objects are deformable to some extent,
Momentum Equation. Necessary because body is not made up of a fixed assembly of particles Its volume is the same however Imaginary
Momentm Eqation Interest in the momentm eqation: Qantification of proplsion rates esign strctres for power generation esign of pipeline systems to withstand forces at bends and other places where the flow
Geometric Modeling
Geometrc Modelng 9.580.0 Notes on Crve and Srface Contnty Parts of Mortenson, Farn, Angel, Hll and others From Prevos Lectres Contnty at Jon Ponts (from Lectre ) Dscontnos: hyscal searaton Parametrc Contnty
Statistical Evaluation of WATFLOOD
tatstcal Evaluaton of WATFLD By: Angela MacLean, Dept. of Cvl & Envronmental Engneerng, Unversty of Waterloo, n. ctober, 005 The statstcs program assocated wth WATFLD uses spl.csv fle that s produced wth
2 Finite difference basics
Numersche Methoden 1, WS 11/12 B.J.P. Kaus 2 Fnte dfference bascs Consder the one- The bascs of the fnte dfference method are best understood wth an example. dmensonal transent heat conducton equaton T
The Effect of Cyclone Shape and Dust Collector on Gas-Solid Flow and Performance
Internatonal Journal of Mechancal and Aerospace Engneerng 6 01 The Effect of Cyclone Shape and Dust Collector on Gas-Sold Flow and Performance Kyoungwoo Park, Chol-Ho Hong, J-Won Han, Byeong-Sam Km, Cha-Sk
Interconnect Modeling
Interconnect Modelng Modelng of Interconnects Interconnect R, C and computaton Interconnect models umped RC model Dstrbuted crcut models Hgher-order waveform n dstrbuted RC trees Accuracy and fdelty Prepared
NUMERICAL STUDY ON FLUSHING CHANNEL EVOLUTION, CASE STUDY OF DASHIDAIRA RESERVOIR, KUROBE RIVER
A n n u a l Jo u r n a l o f Hy d rau lc En g n e e rn g, JS CE, V o l. 59, 01 5, F e b ru a ry NUMERICAL STUDY ON FLUSHING CHANNEL EVOLUTION, CASE STUDY OF DASHIDAIRA RESERVOIR, KUROBE RIVER Taymaz ESMAEILI1,
BAR & TRUSS FINITE ELEMENT. Direct Stiffness Method
BAR & TRUSS FINITE ELEMENT Drect Stness Method FINITE ELEMENT ANALYSIS AND APPLICATIONS INTRODUCTION TO FINITE ELEMENT METHOD What s the nte element method (FEM)? A technqe or obtanng approxmate soltons
FLOW AND SEDIMENT TRANSPORT AROUND IMPERMEABLE OR PERMEABLE GROINS
FLOW AND SEDIMENT TRANSPORT AROUND IMPERMEABLE OR PERMEABLE GROINS Hrosh TERAGUCHI 1, Hame NAKAGAWA, Yasunor MUTO 3, Yasuyuk BABA and Hao ZHANG 1 Student Member of JSCE, Graduate Student, Department of
Energy configuration optimization of submerged propeller in oxidation ditch based on CFD
IOP Conference Seres: Earth and Envronmental Scence Energy confguraton optmzaton of submerged propeller n oxdaton dtch based on CFD To cte ths artcle: S Y Wu et al 01 IOP Conf. Ser.: Earth Envron. Sc.
ˆ (0.10 m) E ( N m /C ) 36 ˆj ( j C m)
7.. = = 3 = 4 = 5. The electrc feld s constant everywhere between the plates. Ths s ndcated by the electrc feld vectors, whch are all the same length and n the same drecton. 7.5. Model: The dstances to
A Numerical Study of Heat Transfer and Fluid Flow past Single Tube
A Numercal Study of Heat ransfer and Flud Flow past Sngle ube ZEINAB SAYED ABDEL-REHIM Mechancal Engneerng Natonal Research Center El-Bohos Street, Dokk, Gza EGYP abdelrehmz@yahoo.com Abstract: - A numercal
Numerical Analysis of Heat Transfer and Pressure Drop in a Channel Equipped with Triangular Bodies in Side-By-Side Arrangement
mercal Analyss of Heat Transfer and Pressure Drop n a Channel Equpped wth Trangular Bodes n Sde-By-Sde Arrangement E. Manay Department of Mechancal Engneerng, Faculty of Engneerng, Bayburt Unversty, Bayburt,
Chapter 12. Ordinary Differential Equation Boundary Value (BV) Problems
Chapter. Ordnar Dfferental Equaton Boundar Value (BV) Problems In ths chapter we wll learn how to solve ODE boundar value problem. BV ODE s usuall gven wth x beng the ndependent space varable. p( x) q(
NON LINEAR ANALYSIS OF STRUCTURES ACCORDING TO NEW EUROPEAN DESIGN CODE
October 1-17, 008, Bejng, Chna NON LINEAR ANALYSIS OF SRUCURES ACCORDING O NEW EUROPEAN DESIGN CODE D. Mestrovc 1, D. Czmar and M. Pende 3 1 Professor, Dept. of Structural Engneerng, Faculty of Cvl Engneerng,
SIMULATION OF SOUND WAVE PROPAGATION IN TURBULENT FLOWS USING A LATTICE-BOLTZMANN SCHEME. Abstract
SIMULATION OF SOUND WAVE PROPAGATION IN TURBULENT FLOWS USING A LATTICE-BOLTZMANN SCHEME PACS REFERENCE: 43.20.Mv Andreas Wlde Fraunhofer Insttut für Integrerte Schaltungen, Außenstelle EAS Zeunerstr.
Homogeneous model: Horizontal pipe and horizontal well. Flow loops can't duplicate field conditions. Daniel D. Joseph. April 2001
Homogeneous model of producton of heavy ol through horzontal ppelnes and wells based on the Naver-Stokes equatons n the ppelne or the well and Darcy's law n the reservor Homogeneous model: Danel D. Joseph
Lecture Notes on Linear Regression
Lecture Notes on Lnear Regresson Feng L fl@sdueducn Shandong Unversty, Chna Lnear Regresson Problem In regresson problem, we am at predct a contnuous target value gven an nput feature vector We assume
GPU friendly Fast Poisson Solver for Structured Power Grid Network Analysis
GPU frendly Fast Posson Solver for Strctred Power Grd Network Analyss Jn Sh, Yc Ca, Xaoy Wang Dept of Compter Scence and Technology, Tsngha Unv. Wentng Ho, Lwe Ma, Pe-Hsn Ho Synopsys Inc. Sheldon X.-D.
Appendix B. The Finite Difference Scheme
140 APPENDIXES Appendx B. The Fnte Dfference Scheme In ths appendx we present numercal technques whch are used to approxmate solutons of system 3.1 3.3. A comprehensve treatment of theoretcal and mplementaton
C PLANE ELASTICITY PROBLEM FORMULATIONS
C M.. Tamn, CSMLab, UTM Corse Content: A ITRODUCTIO AD OVERVIEW mercal method and Compter-Aded Engneerng; Phscal problems; Mathematcal models; Fnte element method. B REVIEW OF -D FORMULATIOS Elements and
Lossy Compression. Compromise accuracy of reconstruction for increased compression.
Lossy Compresson Compromse accuracy of reconstructon for ncreased compresson. The reconstructon s usually vsbly ndstngushable from the orgnal mage. Typcally, one can get up to 0:1 compresson wth almost
Air Age Equation Parameterized by Ventilation Grouped Time WU Wen-zhong
Appled Mechancs and Materals Submtted: 2014-05-07 ISSN: 1662-7482, Vols. 587-589, pp 449-452 Accepted: 2014-05-10 do:10.4028/www.scentfc.net/amm.587-589.449 Onlne: 2014-07-04 2014 Trans Tech Publcatons,
Numerical analysis on the agglomeration behavior of fine particles in plane jet
Numercal analyss on the agglomeraton behavor of fne partcles n plane et Mn Guo 1, a, Ja L 2, Xn Su 1 and Gurong Yang 1 1 Tann Academy of Envronmental Scences, Tann, 300191, Chna; 2 The Fourth Research
8.1 Arc Length. What is the length of a curve? How can we approximate it? We could do it following the pattern we ve used before
.1 Arc Length hat s the length of a curve? How can we approxmate t? e could do t followng the pattern we ve used before Use a sequence of ncreasngly short segments to approxmate the curve: As the segments
Uncertainty as the Overlap of Alternate Conditional Distributions
Uncertanty as the Overlap of Alternate Condtonal Dstrbutons Olena Babak and Clayton V. Deutsch Centre for Computatonal Geostatstcs Department of Cvl & Envronmental Engneerng Unversty of Alberta An mportant
Distributed Control for the Parallel DC Linked Modular Shunt Active Power Filters under Distorted Utility Voltage Condition
Dtrbted Control for the Parallel DC Lnked Modlar Shnt Actve Power Flter nder Dtorted Utlty Voltage Condton Reearch Stdent: Adl Salman Spervor: Dr. Malabka Ba School of Electrcal and Electronc Engneerng
Line Drawing and Clipping Week 1, Lecture 2
CS 43 Computer Graphcs I Lne Drawng and Clppng Week, Lecture 2 Davd Breen, Wllam Regl and Maxm Peysakhov Geometrc and Intellgent Computng Laboratory Department of Computer Scence Drexel Unversty http://gcl.mcs.drexel.edu
LES ESTIMATION OF ENVIRONMENTAL DEGRADATION AT THE URBAN HEAT ISLAND DUE TO DENSELY-ARRAYED TALL BUILDINGS
3.3 LES ESTIMATION OF ENVIRONMENTAL DEGRADATION AT THE URBAN HEAT ISLAND DUE TO DENSELY-ARRAYED TALL BUILDINGS Tetsuro Tamura* Junch Nagayama Kench Ohta Tetsuya Takem and Yasuo Okuda Tokyo Insttute of
Comparison of Regression Lines
STATGRAPHICS Rev. 9/13/2013 Comparson of Regresson Lnes Summary... 1 Data Input... 3 Analyss Summary... 4 Plot of Ftted Model... 6 Condtonal Sums of Squares... 6 Analyss Optons... 7 Forecasts... 8 Confdence
The equation of motion of a dynamical system is given by a set of differential equations. That is (1)
Dynamcal Systems Many engneerng and natural systems are dynamcal systems. For example a pendulum s a dynamcal system. State l The state of the dynamcal system specfes t condtons. For a pendulum n the absence