Modeling Interfacial Flux layer Phenomena in the Shell/Mold Gap Using CON1D
|
|
|
- Lawrence Byrd
- 5 years ago
- Views:
Transcription
1 Modeling Interfacial Flux layer Phenomena in the Shell/Mold Gap Using CON1D Ya Meng Department of Materials Science &. Engineering University of Illinois at Urbana-Champaign September 25, 2
2 Introduction input casting casting conditions conditions simulation simulation parameters parameters steel steel properties properties spray spray zone zone variables variables mold mold flux flux properties properties oscillation oscillation marks marks parameters parameters cooling cooling water water properties properties mold mold geometry geometry Solidification & Heat Transfer Model: CON1D - 1-D transient finite-difference model of solidifying steel shell - 2-D steady-state heat conduction within the mold wall output (Validation Parameters) temperatures temperatures mold mold hot hot face, face, cold cold face face and and thermocouple thermocouple shell shell surface surface (below (below mold) mold) and and interior interior cooling cooling water water shell shell thickness thickness (breakout (breakout shell) shell) heat heat flux flux leaving leaving the the shell shell flux flux layer layer thickness thickness ideal ideal mold mold taper taper friction friction force force in in mold mold
3 Schematic of Continuous Casting Process copper mold flux rim flux powder submerged entry nozzle liquid flux solidifying steel shell ferrostatic pressure oscillation mark crystalline resolidified flux glassy resolidified flux air gap molten steel pool contact resistances
4 Improvements to CON1D5. CON1D version 5. manual and new format of input file New output file XXXX.frc, which out put the phase fractions of shell surface and a certain depth (user input) under surface New spray zone model New oscillation mark model (optional) New taper calculation model Cooling water temperature rise adjustment by the program itself Τ modified cooling water = T cooling water w d * L ch ch * slab width totcharea - make model calibration with water T measurement easier ch
5 Improvements to CON1D6.1 CON1D version 6.1 manual and new format of input file New shear stress model (subroutine shear.f), predicts shear stress in the shell/mold gap and calculates friction forces during one mold oscillation cycle. Results are written into new output file XXXX.shr. New analytical segregation model (optional), is developed by Young Mok Won. Add a series of thermocouples below steel shell surface to predict steel shell temperature, results are written into new output file XXXX.sst.
6 Schemetic Profile of Flux Velocity y= d V=V s -V mold y V mold Mold Solid Flux Liquid Flux V=V c Steel z
7 Friction Model Description Momentum balance equation of flux flow in the gap: DV ρ + V V = P + + Dt ( τ ) ρg ( 1) Assume: - Uncoupled time dependent motion (mold oscillation) - Fully developed laminar flow - Flow of flux only along Z axis (casting direction) Eq. (1) is simplified: τ τ y yz yz = + ρg ρgy = + c 1 ( 2) ( 3)
8 Friction Model Description Constitutive equation for shear stress-velocity gradient in flux layer: Assume: - µ τ yz = µ s T T V z y s T T Where: m s is flux viscosity at the interface with steel surface T s is steel surface temperature T sol is flux solidification temperature n is empirical constant chosen to fit measured data - Linear temperature gradient across flux layers So: τ yz = µ = µ s d y n n sol sol V y z n ( 4) ( 5) ( 6)
9 Friction Model Description Substitute Eq.(6) into Eq.(3): V y z = n + 1 ρ gy + µ Boundary Conditions: (mold/flux & flux/steel interfaces) V V c z 1 = y= y= Substitute C 1 into Eq.(7) and evaluate at y=d: V y z z y = d s d n c 1 y n ( 7) = Vw = Vs Vmold d = Vc ( t) ( 8) ( 9) ( V V ) µ ( n + 1) ρgd ( n + 1) c = s d s + ( n + 1)( V V ) d c w ( 1) + µ n s + 2 ρgd ( n + 2) ( 11)
10 Friction Model Description At flux/steel interface when there is liquid flux layer: τ liquid = µ s ( n + 1)( V V ) At solid/mold or solid/steel interface: τ = φ d solid ρ steel c gz w + ρgd ( n + 2) ( 12 ) ( 13) where, F is coefficient of sliding friction (F =.4) So the shear stress in mold/steel gap is: τ = Min ( τ τ ) ( 14) liquid, solid The friction force for one mold face is: f Z mold = τ w d z ( 15) where, w is slab width for wide face, slab thickness for narrow face
11 Example Application: Case 1 Casting Speed: 1.m/min Pour Temperature: 155 o C Slab Geometry: 15mm*23mm Nozzle Submergence depth: 265mm Working Mold Length: 8mm Time Step: dt=.1s Mesh Size: dx=.5mm Fraction Solid for Shell Thickness location:.3 Carbon Content:.5% Mold Powder Solidification Temperature: 18 o C Mold Powder Conductivity (solid/liquid): 1.5/1.5W/mK Mold Powder Viscosity at 13 o C: 8.72poise Exponent for temperature dependency of viscosity: 1.65 Mold Powder Consumption Rate:.45kg/m 2 Oscillation Mark Geometry (depth*width):.45*4.5mm 2 Mold Oscillation Frequency: 83.3cpm Oscillation Stroke: 7.8mm Negative Strip Ratio of Velocity:.3 Mold Thickness (including water channel): 51mm Initial Cooling Water Temperature: 3 o C Water Channel Geometry (depth*width*distance): 25mm*5mm*29mm Cooling Water Flow rate: 7.8m/s
12 Stress (Pa) Shear Stress at Different Position down the Mold during Half Oscillation Cycle (Case 1) Velocity (mm/s) Distance below meniscus (mm) Time (s) Vmold Vcasting Time (s)
13 Flux Thickness : Case Thickness (mm) Total Liquid Layer Solid Layer Distance below Meniscus (mm)
14 Shear Stress down the Mold during Half Period (Case 1) Stress (Pa) Cycle Fraction (Maximum) 1/16 2/16 3/16 4/16 (Vmold=) 5/16 6/16 7/16 8/16 (Minimum) Average Distance below Meniscus (mm)
15 Mold Velocity and Friction Force during Half Period 4 (Case 1) Velocity (mm/s) 2-2 Vmold Vcasting Force (N) Time (s) Time (s)
16 Parametric Study Parameters Casting Speed (m/min) Oscillation Frequency (cpm) Negative Strip Time (s) Consumption Rate (kg/m 2 ) Osc. Mark Geometry (mm 2 ) Friction Force Amplitude (KPa) Case * Case * Case * * Other conditions are same as Case 1
17 Parameters Chosen Viscosity (Poise) % Alumina -Larson CON1D Mold Powder Consumption (kg/m^2) cpm 18.3cpm 7cpm -Inagaki 1cpm -Inagaki 8cpm -Ho 1cpm -Ho CON1D 133.3cpm Maximum Depth of Osc. Mark (mm) Hamagami CON1D Temperature (C) Casting Speed (m/min) Negative Strip Time (s) Mold powder viscosity (D. Larson, Industrial Heating, 1986, 53, p16) Consumption rate (M. Inagaki etc.,camp-isij, 1989, 2, p39; B. Ho, Master thesis, 1992) Oscillation mark depth (K. Hamagami etc., Steelmaking Conference Proceeding, 1982, 65, p358)
18 Maximum Shear Stress down the Mold Comparison Shear Stress (Pa) Case 1 Case 2 Case Distance below Meniscus (mm)
19 Maximum Shear Stress near Meniscus Shear Stress (N/m) Case 1 Case 2 Case Time (s)
20 Solid Flux Layer Velocity 3 Case 1.12Vc Case 2 Velocity (mm/s) Case 3.6Vc.6Vc.12Vc 1.6Vc Distance below Meniscus (mm)
21 Average Shear Stress down the Mold Comparison Shear Stress (Pa) Case 1 Case 2 Case Distance below Meniscus (mm)
22 Friction Force during Half Period Comparison Force (N) Scaled Mold Velocity 1 5 Vmold/Vmax Vcasting/Vmax Case1 Case 2 Case Time Fraction of Oscillation Cycle(*1/32 period) * Vmax is the amplitude velocity of mold oscillation (=p*stroke*freqency)
23 Flux Thickness : Case Thickness (mm) Total Liquid Layer Solid Layer Distance below Meniscus (mm)
24 Flux Thickness : Case Thickness (mm) Total Liquid Layer Solid Layer Distance below Meniscus (mm)
25 Liquid Flux Thickness Comparison.4 Thickness (mm) Case 1 Case 2 Case Distance below Meniscus (mm)
26 Total Flux Thickness Comparison Thickness (mm) Case 1 Case 2 Case Distance below Meniscus (mm)
27 Heat Flux Comparison 3.5 Heat Flux (MW/m 2 ) Case 1 Case 2 Case Distance below Meniscus (mm)
28 Mold Hot Face Temperature Comparison 35 Case 1 Case 2 Temperature (C) Case Distance below Meniscus (mm)
29 Shell Thickness Comparison 2 Shell Thickness (mm) Case 1 Case 2 Case Distance below Meniscus (mm)
30 Shell Surface Temperature Comparison Temperature (C) Case 1 Case 2 Case Distance below Meniscus (mm)
31 Shear Stress Amplitude down the Mold Comparison Shear Stress (Pa) Case 1 Case 2 Case Distance below Meniscus (mm)
32 Effect of Casting Speed on Friction Force (From H. Nakato, S. Omiya etc., Journal of Metals., V36 n3 Mar 1984 p44-5) CON1D predicted results
33 Consumption Rate CONS basic = Consumption Rate - CONS where, CONS basic is the minimum consumption rate without oscillation mark CONS is the increase of consumption rate due to oscillation mark, in order to satisfy the mass balance:.5 Osc. depth Osc. width CONS= ρ pitch Unit: kg/m 2 Case 1 Case 2 CONS basic CONS Case
34 Conclusions In one oscillation cycle, the liquid flux layer has sinusoidal profile for shear stress, while the solid flux layer has square wave. Lower friction exists in top half of mold. For constant friction coefficient, solid fraction increases cause huge increase in mold friction. Liquid layer thickness controls the friction force in mold: thicker liquid layer has shorter solid fraction which lowers friction force. Total flux layer thickness affects heat transfer across gap: thicker total flux layer lowers heat flux, leading to lower mold temperature, thicker shell thickness.
35 Conclusions If friction exceeds solid flux strength, then it will fracture, and increase solid flux velocity, causing possible drop in flux layer thickness in transition region accompanied by rebound heat flux. Steel shell surface temperature and hence liquid layer thickness is affected by both total flux thickness and casting speed: thicker layers and higher speeds increase shell temperature. Higher casting speed and higher real consumption both tends to lower friction.
36 Conclusions The fraction of mold with solid flux can be identified by: - value of friction (more solid flux tends toward higher friction) - shape of cycle (more solid flux tends toward sharper transition) Higher casting speed with lower consumption rate has increased transverse crack risk because friction is higher in top liquid portion of mold, where shell is hotter, thinner and weaker.
37 Future Work Model calibration with plant measured data - mold friction - consumption rate - oscillation mark geometry Relate flux fracture strength to solid flux velocity transition region Investigate coefficient of friction as a function of flux composition Incorporate default empirical equations for consumption rate, oscillation mark geometry etc. Incorporate the effects of flux crystallization behavior
Finite Element Analysis of the Heat Transfer in a Copper Mould during Continuous Casting of Steel Slabs. 14 May 2005
Finite Element Analysis of the Heat Transfer in a Copper Mould during Continuous Casting of Steel Slabs 14 May 2005 D. Hodgson, Sami Vapalahti, and B.G. Thomas Department of Mechanical and Industrial Engineering
Heat Transfer in Oscillation Marks Using Con1d
Metal Process Simulation Laboratory Department of Mechanical and Industrial Engineering University of Illinois at Urbana-Champaign Urbana, IL 61801 Heat Transfer in Oscillation Marks Using Con1d By Ya
3-D Turbulent Multiphase Modeling of Molten Steel Flow and Heat Transfer in a Continuous Slab Caster. Abstract
Presented at FX User's onference, Wilmington, DE, Oct. 1, 1998. 3-D Turbulent Multiphase Modeling of Molten Steel Flow and Heat Transfer in a ontinuous Slab aster D.T. reech and B.G. Thomas, University
Effect of Static Magnetic Field Application on the Mass Transfer in Sequence Slab Continuous Casting Process
, pp. 844 850 Effect of Static Magnetic Field Application on the Mass Transfer in Sequence Slab Continuous Casting Process Baokuan LI and Fumitaka TSUKIHASHI 1) Department of Thermal Engineering, The School
Modeling of Steel Grade Transition in Continuous Slab Casting Processes
Metallurgical Transactions B, Vol. 24B, No. 2 (April), 1993, pp. 379-393. Modeling of Steel Grade Transition in Continuous Slab Casting Processes X. Huang and B. G. Thomas Department of Mechanical and
Flow Control with Local Electromagnetic Braking in Continuous Casting of Steel Slabs
Flow Control with Local Electromagnetic Braking in Continuous Casting of Steel Slabs Brian G. Thomas and Kevin Cukierski Department of Mechanical Science and Engineering, University of Illinois, Urbana,
Numerical Study of Flow and Heat Transfer in a Molten Flux Layer
B. Zhao, S. P. Vanka, & B.G. Thomas, Int. J. Heat & Fluid Flow, 25, Vol. 26, pp. 15-118 Numerical Study of Flow and Heat Transfer in a Molten Flux Layer B. Zhao a, S. P. Vanka b and B. G. Thomas c Department
Heat Transfer Modeling using ANSYS FLUENT
Lecture 1 - Introduction 14.5 Release Heat Transfer Modeling using ANSYS FLUENT 2013 ANSYS, Inc. March 28, 2013 1 Release 14.5 Outline Modes of Heat Transfer Basic Heat Transfer Phenomena Conduction Convection
Turbulent Flow and Particle Motion in Continuous Slab-Casting Molds
913 Turbulent Flow and Particle Motion in Continuous Slab-Casting Molds Quan Yuan, Brian G. Thomas and S. P. Vanka Mechanical and Industrial Engineering Department University of Illinois at Urbana-Champaign
Lectures on Applied Reactor Technology and Nuclear Power Safety. Lecture No 6
Lectures on Nuclear Power Safety Lecture No 6 Title: Introduction to Thermal-Hydraulic Analysis of Nuclear Reactor Cores Department of Energy Technology KTH Spring 2005 Slide No 1 Outline of the Lecture
Effect of Shape and Flow Control Devices on the Fluid Flow Characteristics in Three Different Industrial Six Strand Billet Caster Tundish
, pp. 1647 1656 Effect of Shape and Flow Control Devices on the Fluid Flow Characteristics in Three Different Industrial Six Strand Billet Caster Tundish Anurag TRIPATHI and Satish Kumar AJMANI Research
P = 1 3 (σ xx + σ yy + σ zz ) = F A. It is created by the bombardment of the surface by molecules of fluid.
CEE 3310 Thermodynamic Properties, Aug. 27, 2010 11 1.4 Review A fluid is a substance that can not support a shear stress. Liquids differ from gasses in that liquids that do not completely fill a container
Study of basicity impact on mold flux crystallization and radiative heat transfer in continuous casting
Study of basicity impact on mold flux crystallization and radiative heat transfer in continuous casting Wanlin WANG, Lejun ZHOU, Kezhuan GU and Fanjun MA School of Metallurgical Science and Engineering,
Thermal Stress Cracking of Sliding Gate Plates
ANNUAL REPORT 2011 UIUC, August 18, 2011 Thermal Stress Cracking of Sliding Gate Plates Hyoung-Jun Lee, Seong-Mook Cho, Seon-Hyo Kim Department of Materials Science and Engineering, Pohang University of
MERCURY MODEL ON FLOW IN CONTINUOUS CASTING OF SLAB WITH EMBR. Kang DENG, Zhenqiang ZHANG, Zuosheng LEI, Zhongming REN & Weizhong DING
May 21 st 23 rd 214, Brno, Czech Republic, EU MERCURY MODEL ON FLOW IN CONTINUOUS CASTING OF SLAB WITH EMBR Kang DENG, Zhenqiang ZHANG, Zuosheng LEI, Zhongming REN & Weizhong DING Shanghai University,
Numerical Simulation of the Hagemann Entrainment Experiments
CCC Annual Report UIUC, August 14, 2013 Numerical Simulation of the Hagemann Entrainment Experiments Kenneth Swartz (BSME Student) Lance C. Hibbeler (Ph.D. Student) Department of Mechanical Science & Engineering
Figure 1: Diagram of the top of the bloomcaster.
85 HEAT TRANSFER N A CONTNUOUS BLOOMCASTER Four approaches to detecting disruptions to the primary cooling process in the continuous bloomcaster at BHP's Rod and Bar Division in Newcastle are investigated.
Tutorial for the heated pipe with constant fluid properties in STAR-CCM+
Tutorial for the heated pipe with constant fluid properties in STAR-CCM+ For performing this tutorial, it is necessary to have already studied the tutorial on the upward bend. In fact, after getting abilities
Numerical Heat and Mass Transfer
Master Degree in Mechanical Engineering Numerical Heat and Mass Transfer 15-Convective Heat Transfer Fausto Arpino f.arpino@unicas.it Introduction In conduction problems the convection entered the analysis
2 Navier-Stokes Equations
1 Integral analysis 1. Water enters a pipe bend horizontally with a uniform velocity, u 1 = 5 m/s. The pipe is bended at 90 so that the water leaves it vertically downwards. The input diameter d 1 = 0.1
Transient Fluid Flow and Inclusion Motion in the Mold Using LES Models
Transient Fluid Flow and Inclusion Motion in the Mold Using LES Models Quan Yuan Department of Mechanical Engineering University of Illinois at Urbana-Champaign September 5, Acknowledgements Professor
Chapter 9 Solids and Fluids. Elasticity Archimedes Principle Bernoulli s Equation
Chapter 9 Solids and Fluids Elasticity Archimedes Principle Bernoulli s Equation States of Matter Solid Liquid Gas Plasmas Solids: Stress and Strain Stress = Measure of force felt by material Stress= Force
Stopper rod tilt and effect on nozzle flow. Rajneesh Chaudhary (Graduate Student) & Brian G. Thomas. Department of Mechanical Science and Engineering
Stopper rod tilt and effect on nozzle flow Rajneesh Chaudhary (Graduate Student) & Brian G. Thomas Department of Mechanical Science and Engineering University of Illinois at Urbana-Champaign, IL Project
Introduction to Marine Hydrodynamics
1896 1920 1987 2006 Introduction to Marine Hydrodynamics (NA235) Department of Naval Architecture and Ocean Engineering School of Naval Architecture, Ocean & Civil Engineering First Assignment The first
MYcsvtu Notes HEAT TRANSFER BY CONVECTION
www.mycsvtunotes.in HEAT TRANSFER BY CONVECTION CONDUCTION Mechanism of heat transfer through a solid or fluid in the absence any fluid motion. CONVECTION Mechanism of heat transfer through a fluid in
States of Matter. Chapter 9 Solids and Fluids. Solids: Stress and Strain. Solids: Stress and Strain. Stress = Force Area. Strain =!
Elasticity Chapter 9 Solids and Fluids Archimedes Principle Bernoulli s Equation Solid Liquid Gas Plasmas States of Matter 1 2 Solids: Stress and Strain Solids: Stress and Strain Stress = Measure of force
States of Matter. Chapter 9 Solids and Fluids. Solids: Stress and Strain. Solids: Stress and Strain. Stress = Force Area. Strain =!L L. Example 9.
Elasticity Chapter 9 Solids and Fluids Archimedes Principle Bernoulli s Equation Solid Liquid Gas Plasmas States of Matter Solids: Stress and Strain Solids: Stress and Strain Stress = Measure of force
Transient mold fluid flow with well- and mountain- bottom nozzles in continuous casting of steel
Transient mold fluid flow with well- and mountain- bottom nozzles in continuous casting of steel R. Chaudhary a, Go-Gi Lee b, B. G. Thomas a, Seon-Hyo Kim b,a Department of Mechanical Science and Engineering,
Shell Balances in Fluid Mechanics
Shell Balances in Fluid Mechanics R. Shankar Subramanian Department of Chemical and Biomolecular Engineering Clarkson University When fluid flow occurs in a single direction everywhere in a system, shell
Fluid dynamics - viscosity and. turbulent flow
Fluid dynamics - viscosity and Fluid statics turbulent flow What is a fluid? Density Pressure Fluid pressure and depth Pascal s principle Buoyancy Archimedes principle Fluid dynamics Reynolds number Equation
Computational Materials Science
Computational Materials Science 44 (28) 87 82 Contents lists available at ScienceDirect Computational Materials Science journal homepage: www.elsevier.com/locate/commatsci New analytical model for local
HEAT TRANSFER UNDER AN AIR-WATER COOLING JET
HEAT TRANSFER UNDER AN AIR-WATER COOLING JET F. Kavicka 1, J. Stetina 1, B. Sekanina 1, J. Heger 2, B. Velicka 3, L. Čamek 4, V. Gontarev 5, B. Kosec 5 1 VUT - FSI, Brno, Technická 2, Brno 616 69, Česká
Introduction to Heat and Mass Transfer. Week 9
Introduction to Heat and Mass Transfer Week 9 補充! Multidimensional Effects Transient problems with heat transfer in two or three dimensions can be considered using the solutions obtained for one dimensional
2, where dp is the constant, R is the radius of
Dynamics of Viscous Flows (Lectures 8 to ) Q. Choose the correct answer (i) The average velocity of a one-dimensional incompressible fully developed viscous flow between two fixed parallel plates is m/s.
Effect of EMBr on Transient Mold Flow with DNS Modeling and Ga-In- Sn Benchmark Measurements
ANNUAL REPORT 212 UIUC, August 16, 212 Effect of EMBr on Transient Mold Flow with DNS Modeling and Ga-In- Sn Benchmark Measurements Ramnik Singh (MSME Student) Work performed under NSF Grant CMMI 11-3882
Numerical investigation of multiple slot jets in air knife coating
Numerical investigation of multiple slot jets in air knife coating A. Yahyaee Soufiani 1, J.R. McDermid 2, A.N. Hrymak 3 and F.E. Goodwin 4 1 McMaster University 128 Main street west, Hamilton, ON, Canada,
Chapter 10: Steady Heat Conduction
Chapter 0: Steady Heat Conduction In thermodynamics, we considered the amount of heat transfer as a system undergoes a process from one equilibrium state to another hermodynamics gives no indication of
Fluids. Fluids in Motion or Fluid Dynamics
Fluids Fluids in Motion or Fluid Dynamics Resources: Serway - Chapter 9: 9.7-9.8 Physics B Lesson 3: Fluid Flow Continuity Physics B Lesson 4: Bernoulli's Equation MIT - 8: Hydrostatics, Archimedes' Principle,
CHAPTER 7 NUMERICAL MODELLING OF A SPIRAL HEAT EXCHANGER USING CFD TECHNIQUE
CHAPTER 7 NUMERICAL MODELLING OF A SPIRAL HEAT EXCHANGER USING CFD TECHNIQUE In this chapter, the governing equations for the proposed numerical model with discretisation methods are presented. Spiral
BERNOULLI EQUATION. The motion of a fluid is usually extremely complex.
BERNOULLI EQUATION The motion of a fluid is usually extremely complex. The study of a fluid at rest, or in relative equilibrium, was simplified by the absence of shear stress, but when a fluid flows over
Lecture 3. Properties of Fluids 11/01/2017. There are thermodynamic properties of fluids like:
11/01/2017 Lecture 3 Properties of Fluids There are thermodynamic properties of fluids like: Pressure, p (N/m 2 ) or [ML -1 T -2 ], Density, ρ (kg/m 3 ) or [ML -3 ], Specific weight, γ = ρg (N/m 3 ) or
IHTC DRAFT MEASUREMENT OF LIQUID FILM THICKNESS IN MICRO TUBE ANNULAR FLOW
DRAFT Proceedings of the 14 th International Heat Transfer Conference IHTC14 August 8-13, 2010, Washington D.C., USA IHTC14-23176 MEASUREMENT OF LIQUID FILM THICKNESS IN MICRO TUBE ANNULAR FLOW Hiroshi
BOUNDARY LAYER MODELLING OF THE HEAT TRANSFER PROCESSES FROM IGNITERS TO ENERGETIC MATERIALS Clive Woodley, Mike Taylor, Henrietta Wheal
23 RD INTERNATIONAL SYMPOSIUM ON BALLISTICS TARRAGONA, SPAIN 16-20 APRIL 2007 BOUNDARY LAYER MODELLING OF THE HEAT TRANSFER PROCESSES FROM IGNITERS TO ENERGETIC MATERIALS Clive Woodley, Mike Taylor, Henrietta
Introduction to Heat and Mass Transfer. Week 7
Introduction to Heat and Mass Transfer Week 7 Example Solution Technique Using either finite difference method or finite volume method, we end up with a set of simultaneous algebraic equations in terms
Theoretical and Experimental Studies on Transient Heat Transfer for Forced Convection Flow of Helium Gas over a Horizontal Cylinder
326 Theoretical and Experimental Studies on Transient Heat Transfer for Forced Convection Flow of Helium Gas over a Horizontal Cylinder Qiusheng LIU, Katsuya FUKUDA and Zheng ZHANG Forced convection transient
Continuous Casting - Comparison between Numerical Simulation and Experimental Measurement
International Scientific Colloquium Modelling for Electromagnetic Processing Hannover, March 24-26, 3 Continuous Casting - Comparison between Numerical Simulation and Experimental Measurement Y. Delannoy,
PHY121 Physics for the Life Sciences I
PHY Physics for the Life Sciences I Lecture 0. Fluid flow: kinematics describing the motion. Fluid flow: dynamics causes and effects, Bernoulli s Equation 3. Viscosity and Poiseuille s Law for narrow tubes
Coupled Thermomechanical Contact Problems
Coupled Thermomechanical Contact Problems Computational Modeling of Solidification Processes C. Agelet de Saracibar, M. Chiumenti, M. Cervera ETS Ingenieros de Caminos, Canales y Puertos, Barcelona, UPC
A NUMERICAL APPROACH FOR ESTIMATING THE ENTROPY GENERATION IN FLAT HEAT PIPES
A NUMERICAL APPROACH FOR ESTIMATING THE ENTROPY GENERATION IN FLAT HEAT PIPES Dr. Mahesh Kumar. P Department of Mechanical Engineering Govt College of Engineering, Kannur Parassinikkadavu (P.O), Kannur,
Heat and Mass Transfer Unit-1 Conduction
1. State Fourier s Law of conduction. Heat and Mass Transfer Unit-1 Conduction Part-A The rate of heat conduction is proportional to the area measured normal to the direction of heat flow and to the temperature
Fluid Mechanics. du dy
FLUID MECHANICS Technical English - I 1 th week Fluid Mechanics FLUID STATICS FLUID DYNAMICS Fluid Statics or Hydrostatics is the study of fluids at rest. The main equation required for this is Newton's
Relationship to Thermodynamics. Chapter One Section 1.3
Relationship to Thermodynamics Chapter One Section 1.3 Alternative Formulations Alternative Formulations Time Basis: CONSERVATION OF ENERGY (FIRST LAW OF THERMODYNAMICS) An important tool in heat transfer
Simulation of Particulate Solids Processing Using Discrete Element Method Oleh Baran
Simulation of Particulate Solids Processing Using Discrete Element Method Oleh Baran Outline DEM overview DEM capabilities in STAR-CCM+ Particle types and injectors Contact physics Coupling to fluid flow
V (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)
IV. DIFFERENTIAL RELATIONS FOR A FLUID PARTICLE This chapter presents the development and application of the basic differential equations of fluid motion. Simplifications in the general equations and common
CFD STUDIES IN THE PREDICTION OF THERMAL STRIPING IN AN LMFBR
CFD STUDIES IN THE PREDICTION OF THERMAL STRIPING IN AN LMFBR K. Velusamy, K. Natesan, P. Selvaraj, P. Chellapandi, S. C. Chetal, T. Sundararajan* and S. Suyambazhahan* Nuclear Engineering Group Indira
V/ t = 0 p/ t = 0 ρ/ t = 0. V/ s = 0 p/ s = 0 ρ/ s = 0
UNIT III FLOW THROUGH PIPES 1. List the types of fluid flow. Steady and unsteady flow Uniform and non-uniform flow Laminar and Turbulent flow Compressible and incompressible flow Rotational and ir-rotational
CCC Annual Report. UIUC, August 14, Effect of Double-Ruler EMBr on Transient Mold Flow with LES Modeling and Scaling Laws
CCC Annual Report UIUC, August 14, 2013 Effect of Double-Ruler EMBr on Transient Mold Flow with LES Modeling and Scaling Laws Ramnik Singh (MSME Student) Work performed under NSF Grant CMMI 11-30882 Department
1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts)
1. Introduction, fluid properties (1.1, 2.8, 4.1, and handouts) Introduction, general information Course overview Fluids as a continuum Density Compressibility Viscosity Exercises: A1 Fluid mechanics Fluid
Flux - definition: (same format for all types of transport, momentum, energy, mass)
Fundamentals of Transport Flu - definition: (same format for all types of transport, momentum, energy, mass) flu in a given direction Quantity of property being transferred ( time)( area) More can be transported
Maximum Heat Transfer Density From Finned Tubes Cooled By Natural Convection
Maximum Heat Transfer Density From Finned Tubes Cooled By Natural Convection Ahmed Waheed Mustafa 1 Mays Munir Ismael 2 AL-Nahrain University College of Engineering Mechanical Engineering Department ahmedwah@eng.nahrainuniv.edu.iq
Chapter 6: Efficiency and Heating. 9/18/2003 Electromechanical Dynamics 1
Chapter 6: Efficiency and Heating 9/18/2003 Electromechanical Dynamics 1 Losses As a machine transforms energy from one form to another there is always a certain power loss the loss is expressed as heat,
Model of Argon Flow through UTN
ANNUAL REPORT 2011 UIUC, August 18, 2011 Model of Argon Flow through UTN Refractory and Bubble Size Estimation R. Liu *, B.G. Thomas * and J. Sengupta ** *Department of Mechanical Science and Engineering
Today s menu. Last lecture. A/D conversion. A/D conversion (cont d...) Sampling
Last lecture Capacitive sensing elements. Inductive sensing elements. Reactive Deflection bridges. Electromagnetic sensing elements. Thermoelectric sensing elements. Elastic sensing elements. Piezoelectric
meters, we can re-arrange this expression to give
Turbulence When the Reynolds number becomes sufficiently large, the non-linear term (u ) u in the momentum equation inevitably becomes comparable to other important terms and the flow becomes more complicated.
Transient Mold Fluid Flow with Well- and Mountain-Bottom Nozzles in Continuous Casting of Steel
Transient Mold Fluid Flow with Well- and Mountain-Bottom Nozzles in Continuous Casting of Steel R. CHAUDHARY, GO-GI LEE, B.G. THOMAS, and SEON-HYO KIM Nozzle shape plays a key role in determining the flow
This section develops numerically and analytically the geometric optimisation of
7 CHAPTER 7: MATHEMATICAL OPTIMISATION OF LAMINAR-FORCED CONVECTION HEAT TRANSFER THROUGH A VASCULARISED SOLID WITH COOLING CHANNELS 5 7.1. INTRODUCTION This section develops numerically and analytically
HEAT TRANSFER BY CONVECTION. Dr. Şaziye Balku 1
HEAT TRANSFER BY CONVECTION Dr. Şaziye Balku 1 CONDUCTION Mechanism of heat transfer through a solid or fluid in the absence any fluid motion. CONVECTION Mechanism of heat transfer through a fluid in the
Principles of Convection
Principles of Convection Point Conduction & convection are similar both require the presence of a material medium. But convection requires the presence of fluid motion. Heat transfer through the: Solid
Elmer :Heat transfert with phase change solid-solid in transient problem Application to silicon properties. SIF file : phasechange solid-solid
Elmer :Heat transfert with phase change solid-solid in transient problem Application to silicon properties 3 6 1. Tb=1750 [K] 2 & 5. q=-10000 [W/m²] 0,1 1 Ω1 4 Ω2 7 3 & 6. α=15 [W/(m²K)] Text=300 [K] 4.
Table of Contents. Foreword... Introduction...
Table of Contents Foreword.... Introduction.... xi xiii Chapter 1. Fundamentals of Heat Transfer... 1 1.1. Introduction... 1 1.2. A review of the principal modes of heat transfer... 1 1.2.1. Diffusion...
Piping Systems and Flow Analysis (Chapter 3)
Piping Systems and Flow Analysis (Chapter 3) 2 Learning Outcomes (Chapter 3) Losses in Piping Systems Major losses Minor losses Pipe Networks Pipes in series Pipes in parallel Manifolds and Distribution
STUDY OF TRANSIENT FLOW AND PARTICLE TRANSPORT IN CONTINUOUS STEEL CASTER MOLDS: PART I. FLUID FLOW. Quan Yuan, Brian G. Thomas and S. P.
Published on Metallurgical & Materials Transactions B, Submitted on July 8, 23, Revised on Nov. 26, 23, Accepted on March 1, 24 STUDY OF TRANSIENT FLOW AND PARTICLE TRANSPORT IN CONTINUOUS STEEL CASTER
Tutorial for the supercritical pressure pipe with STAR-CCM+
Tutorial for the supercritical pressure pipe with STAR-CCM+ For performing this tutorial, it is necessary to have already studied the tutorial on the upward bend. In fact, after getting abilities with
The effect of melt compressibility on the mold filling of thin-walled parts
The effect of melt compressibility on the mold filling of thin-walled parts Andy Rose, Lucien Douven, DSM Ahead BV Autodesk Moldfow, Benelux user meeting Eindhoven May 2 nd, 2017 Agenda Introduction Background
CCC Annual Report. UIUC, August 19, Argon Bubble Behavior in EMBr Field. Kai Jin. Department of Mechanical Science & Engineering
CCC Annual Report UIUC, August 19, 2015 Argon Bubble Behavior in EMBr Field Kai Jin Department of Mechanical Science & Engineering University of Illinois at Urbana-Champaign Introduction Argon bubbles
Welcome to MECH 280. Ian A. Frigaard. Department of Mechanical Engineering, University of British Columbia. Mech 280: Frigaard
Welcome to MECH 280 Ian A. Frigaard Department of Mechanical Engineering, University of British Columbia Lectures 1 & 2: Learning goals/concepts: What is a fluid Apply continuum hypothesis Stress and viscosity
Hydraulics. B.E. (Civil), Year/Part: II/II. Tutorial solutions: Pipe flow. Tutorial 1
Hydraulics B.E. (Civil), Year/Part: II/II Tutorial solutions: Pipe flow Tutorial 1 -by Dr. K.N. Dulal Laminar flow 1. A pipe 200mm in diameter and 20km long conveys oil of density 900 kg/m 3 and viscosity
Multiphysics Modeling
11 Multiphysics Modeling This chapter covers the use of FEMLAB for multiphysics modeling and coupled-field analyses. It first describes the various ways of building multiphysics models. Then a step-by-step
Fluid Mechanics II Viscosity and shear stresses
Fluid Mechanics II Viscosity and shear stresses Shear stresses in a Newtonian fluid A fluid at rest can not resist shearing forces. Under the action of such forces it deforms continuously, however small
Modeling of Anisotropic Polymers during Extrusion
Modeling of Anisotropic Polymers during Extrusion Modified on Friday, 01 May 2015 10:38 PM by mpieler Categorized as: Paper of the Month Modeling of Anisotropic Polymers during Extrusion Arash Ahmadzadegan,
The effect of natural convection on solidification in tall tapered feeders
ANZIAM J. 44 (E) ppc496 C511, 2003 C496 The effect of natural convection on solidification in tall tapered feeders C. H. Li D. R. Jenkins (Received 30 September 2002) Abstract Tall tapered feeders (ttfs)
ME 262 BASIC FLUID MECHANICS Assistant Professor Neslihan Semerci Lecture 4. (Buoyancy and Viscosity of water)
ME 262 BASIC FLUID MECHANICS Assistant Professor Neslihan Semerci Lecture 4 (Buoyancy and Viscosity of water) 16. BUOYANCY Whenever an object is floating in a fluid or when it is completely submerged in
Lecture 30 Review of Fluid Flow and Heat Transfer
Objectives In this lecture you will learn the following We shall summarise the principles used in fluid mechanics and heat transfer. It is assumed that the student has already been exposed to courses in
NUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A CAPILLARY TUBE
Proceedings of the Asian Conference on Thermal Sciences 2017, 1st ACTS March 26-30, 2017, Jeju Island, Korea ACTS-P00786 NUMERICAL INVESTIGATION OF THERMOCAPILLARY INDUCED MOTION OF A LIQUID SLUG IN A
The Effect of Nozzle Height on Cooling Heat Transfer from a Hot Steel Plate by an Impinging Liquid Jet
, pp. 704 709 The Effect of Nozzle Height on Cooling Heat Transfer from a Hot Steel Plate by an Impinging Liquid Jet Piljong LEE, Haewon CHOI 1) and Sunghong LEE 2) Technical Research Center, POSCO, Pohang
The Design of Gating System 3. Theoretical considerations in gating design
MME 345 Lecture 16 The Design of Gating System 3. Theoretical considerations in gating design Ref: [1] ASM Metal Handbook, Vol. 15: Casting, ASM International [] Taylor, Flemings, and Wulff. Foundry engineering,
Analysis of the Cooling Design in Electrical Transformer
Analysis of the Cooling Design in Electrical Transformer Joel de Almeida Mendes E-mail: joeldealmeidamendes@hotmail.com Abstract This work presents the application of a CFD code Fluent to simulate the
Finite Element Simulation of the Liquid Silicon Oriented Crystallization in a Graphite Mold
Finite Element Simulation of the Liquid Silicon Oriented Crystallization in a Graphite Mold Alexey I. Borovkov Vadim I. Suprun Computational Mechanics Laboratory, St. Petersburg State Technical University,
Analytical solutions of heat transfer for laminar flow in rectangular channels
archives of thermodynamics Vol. 35(2014), No. 4, 29 42 DOI: 10.2478/aoter-2014-0031 Analytical solutions of heat transfer for laminar flow in rectangular channels WITOLD RYBIŃSKI 1 JAROSŁAW MIKIELEWICZ
ME 331 Homework Assignment #6
ME 33 Homework Assignment #6 Problem Statement: ater at 30 o C flows through a long.85 cm diameter tube at a mass flow rate of 0.020 kg/s. Find: The mean velocity (u m ), maximum velocity (u MAX ), and
Mechanical Engineering. Postal Correspondence Course HEAT TRANSFER. GATE, IES & PSUs
Heat Transfer-ME GATE, IES, PSU 1 SAMPLE STUDY MATERIAL Mechanical Engineering ME Postal Correspondence Course HEAT TRANSFER GATE, IES & PSUs Heat Transfer-ME GATE, IES, PSU 2 C O N T E N T 1. INTRODUCTION
Modelling of Foam Spread on a Burning Liquid Fuel Surface
Modelling of Foam Spread on a Burning Liquid Fuel Surface BROR PERSSON, ANDERS LÖNNERMARK, and HENRY PERSSON SP Swedish National Testing and Research Institute, Fire Technology, Borås, Sweden. ABSTRACT
MM303 FLUID MECHANICS I PROBLEM SET 1 (CHAPTER 2) FALL v=by 2 =-6 (1/2) 2 = -3/2 m/s
MM303 FLUID MECHANICS I PROBLEM SET 1 (CHAPTER ) FALL 018 1) For the velocity fields given below, determine: i) Whether the flow field is one-, two-, or three-dimensional, and why. ii) Whether the flow
The Meaning and Significance of Heat Transfer Coefficient. Alan Mueller, Chief Technology Officer
The Meaning and Significance of Heat Transfer Coefficient Alan Mueller, Chief Technology Officer The Meaning of Heat Transfer Coefficient I kno the meaning of HTC! Why should I aste my time listening to
CHAPTER 1 Fluids and their Properties
FLUID MECHANICS Gaza CHAPTER 1 Fluids and their Properties Dr. Khalil Mahmoud ALASTAL Objectives of this Chapter: Define the nature of a fluid. Show where fluid mechanics concepts are common with those
Validation 3. Laminar Flow Around a Circular Cylinder
Validation 3. Laminar Flow Around a Circular Cylinder 3.1 Introduction Steady and unsteady laminar flow behind a circular cylinder, representing flow around bluff bodies, has been subjected to numerous
An experimental investigation on condensation of R134a refrigerant in microchannel heat exchanger
Journal of Physics: Conference Series PAPER OPEN ACCESS An eperimental investigation on condensation of R134a refrigerant in microchannel heat echanger To cite this article: A S Shamirzaev 218 J. Phys.:
Calculation of Power and Flow Capacity of Rotor / Stator Devices in VisiMix RSD Program.
Calculation of Power and Flow Capacity of Rotor / Stator Devices in VisiMix RSD Program. L.N.Braginsky, D.Sc. (Was invited to be presented on the CHISA 2010-13th Conference on Process Integration, Modelling
JJMIE Jordan Journal of Mechanical and Industrial Engineering
JJMIE Jordan Journal of Mechanical and Industrial Engineering Volume Number, June.6 ISSN 995-6665 Pages 99-4 Computational Fluid Dynamics of Plate Fin and Circular Pin Fin Heat Sins Mohammad Saraireh *
Computer Fluid Dynamics E181107
Computer Fluid Dynamics E181107 2181106 Transport equations, Navier Stokes equations Remark: foils with black background could be skipped, they are aimed to the more advanced courses Rudolf Žitný, Ústav