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Industrial Machinery Facility Optimization

Solution Provider

Products

Classification Contents and Descriptions

격자생성

● Grid Generation Code

⇒ Using finite difference method

⇒ Structured(including block structured) grid

⇒ Unstructured(including tetrahedral element) grid

⇒ Moving Grid

⇒ Adaptive grid

열유동해석

● Heat and Fluid Flow Analysis Solver Code

⇒ Combined finite volume with element method

⇒ General coordinate system(body fitted)

⇒ Using iteration method(TDMA matrix solver)

⇒ Central differencing scheme for 2nd order partial derivatives

⇒ 2nd order upwind and QUICK(Quadratic Upstream Interpolation for

Convective Kinematics) scheme for 1st order partial derivatives

응력해석

● Stress Analysis Solver Code(including thermal stress)

⇒ Combined finite difference with element method

⇒ General coordinate system(body fitted)

⇒ Using iteration method(TDMA matrix solver)

⇒ Central differencing scheme for 2nd order partial derivatives

⇒ Central differencing scheme combined with element integration for

2nd order mixed partial derivatives

최적설계

● Design and Process Optimization Code

⇒ Combined gFlowTM, hFlowTM, sFlowTM with optimization algorithms

⇒ Using ADS(Automated Design Synthesis) optimization code

⇒ Finding single or multi objective value by minimizing error function

⇒ Solving stochastic optimization problem by using the weighted sum

approach method

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gFlowTM

Classification Basic Equations and Descriptions

Elliptic Grid

Generation Eqn.

( )fhx

ffahfahhaxfaxhaxxa

RxQxPxI

xxxxxx

++-=

+++++

2

332322131211

( )fhx

ffahfahhaxfaxhaxxa

RyQyPyI

yyyyyy

++-=

+++++

2

332322131211

( )fhx

ffahfahhaxfaxhaxxa

RzQzPzI

zzzzzz

++-=

+++++

2

332322131211

Jacobian ( ) ( ) ( )xhhxfxffxhhffhx zyzyxzyzyxzyzyxI -+---=

Matrix Tensor

231

221

21111 bbba ++= , 32312221121112 bbbbbba ++=

33312321131113 bbbbbba ++= , 232

222

21222 bbba ++=

33322322131223 bbbbbba ++= , 233

223

21333 bbba ++=

Invariants

hffhb zyzy -=11 , fxxfb zyzy -=12 , xhhxb zyzy -=13

fhhfb zxzx -=21 , xffxb zxzx -=22 , hxxhb zxzx -=23

hffhb yxyx -=31 , fxxfb yxyx -=32 , xhhxb yxyx -=33

Control Function

Thomas & Middlecoff ffhhxx xxxP ++= , ffhhxx yyyQ ++= , ffhhxx zzzR ++=

Case Analysis

해석사례

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hFlowTM

Classification Basic Equations and Descriptions

Continuity Eqn. ( ) 0=¶¶

+¶¶

jujxt

rr

Momentum Eqn. ( ) ( )

jxij

ixp

ifiujujx

iut ¶

¶+

¶¶

-=¶¶

+¶¶ t

rrr

forcebody =if

Energy Eqn.

( ) ( ) ( )ijiujxjx

jqHjujx

pHt

trr¶¶

+¶

¶-=

¶¶

+-¶¶

( )23

22

212

1 uuuTpCH +++= , jxTkjq ¶

¶-=

2-eqns. Turbulence

Model

( ) ( ) ( ) 21 RRixix

iuixt

++¶F¶

FG¶¶

=F¶¶

+F¶¶ rr

kR

PP=

e1Cor 1 , e

rem

rm÷øö

çèæ

÷÷ø

öççè

æ-=

*

*2C

-or *2

2k

kt

kCR

jxiu

ijpixju

jxiu

t ¶

¶-

¶

¶+

¶

¶=P ú

û

ùêë

é÷÷ø

öççè

ædm ,

ε

ρκμfμCtμ

2=

Stress Tensor ÷øöç

èæ

¶¶

-¶

¶+

¶¶

=kxku

ijixju

jxiu

ij dmt32

, Delta sKronecker' =ijd

Case Analysis

해석사례

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sFlowTM

Classification Basic Equations and Descriptions

Equilibrium Eqn. ( ) ( ) iXixTE

z

w

y

v

x

uGzw

yv

xu

ixG -

¶¶

-=

¶

¶+

¶

¶+

¶

¶+

¶¶

+¶¶

+¶¶

¶¶

+ ÷øö

çèæ

nal

212

2

2

2

2

2

Modulus of

Elasticity ( )n+=

12EG ,

( )( )nnnl

211 -+=

E

Strain Rates xu

x ¶¶

=e , yv

y ¶¶

=e , zw

z ¶¶

=e , zyx eeee ++=

xv

yu

xy ¶¶

+¶¶

=g , xw

zu

xz ¶¶

+¶¶

=g , yw

zv

yz ¶¶

+¶¶

=g

Stresses

( )( ) xEE

x en

enn

ns+

+-+

=1211

, xyGxy gt =

( )( ) yEE

y en

enn

ns+

+-+

=1211

, yzGyz gt =

( )( ) zEE

z en

enn

ns+

+-+

=1211

, zxGzx gt =

Principal Stress

0322

13 =-+- III sss

3211 ssssss ++=++= zyxI

211332222

2 sssssstttssssss ++=---++= xyxzyzyxxzzyI

3213 sssstttsttts

==

zyzxzzyyxyzxyxx

I

Failure Criteria

Von Mises & Hencky

( ) ( ) ( )[ ]( )Y

yzxzxyxzzxyx

32

21

26262622291

0

=

+++-+-+-= tttsssssst

Fatigue Life

(Basquin)

( )bfNf 22

ss=

D

amplitude stress true2

=Ds , failure toreversals ofnumber the2 =fN ,

tcoefficienstrength fatigue =fs , exponentstrength fatigue =b

Case Analysis

해석사례

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aFlowTM

Classification Basic Equations and Descriptions

Single Objective

Function

NiUixix

Lix

Kkxkh

JjxjgtoSubject

xmfmwxfwxfwxf

xfMinimize

,,2,1 ,)()(

,,2,1 ,0)(

,,2,1 ,0)(

)()(22)(11)(

)(

K

K

K

K

=££

==

=£

++=

Multi-Objective

Function

( )

{ }Mioneleastatforbif

aif

Miallforbif

aifSolutionFeasible

NiUixix

Lix

Kkxkh

JjxjgtoSubject

xMfxfxfMinimize

,1

,,2,1

,,2,1 ,)()(

,,2,1 ,0)(

,,2,1 ,0)(

)(,),(2),(1

Σ

=£

=££

==

=£

K

K

K

K

K

Stochastic

Optimization

Problem

( )( )

imit

imit

,,2,1 ,)()(

,,2,1 ,0)(

,,2,1 ,0)(),(

21 ,

LUpperyny

LLowerynysConstraint

NixinUixixxin

Lix

Kkxkh

JjxyjxyjjgtoSubject

,M,,m(x)ym(x),σymμmfMinimize

³+

³-

=-££+

==

=£

=

sm

sm

ss

sm

K

K

K

K

Optimizing

Algorithms

● One dimensional search

● Fletcher-Reeves algorithm for unconstrained minimization

⇒ Davidon-Fletcher-Powell variable metric method for unconstrained

minimization

⇒ Broydon-Fletcher-Goldfarb-Shanno variable metric method for

unconstrained minimization

● Method of Feasible Direction for constrained minimization

Case Analysis

해석사례

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Grid Generation Ladle Metallurgical Furnace Cover

Temperature ℃

Design Temperature ℃

Heat Transfer Coef._1 W/m2K

Heat Transfer Coef._2 W/m2K

Density kg/m3

Specific Heat J/kgK

Thermal Conductivity W/mK

Vision Inspection Module

Design Condition ℃

Density_1 kg/m3

Viscosity_1 kg/ms

Pressure Drop Pa

Heat Source_1 ℃

Heat Source_2 ℃

Initial Condition ℃

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Fluid Flow Analysis Chemical Plant Plumbing Fixture

Flow Rate_1 m3/hr

Pressure Drop_1 Pa

Pressure Drop_2 Pa

Density kg/m3

Viscosity kg/ms

Valve Friction Factor_1 -

Valve Friction Factor_2 -

Valve Friction Factor_3 -

Pressure Distribution in Path 1 Pressure Distribution in Path 2

Velocity Distribution in Path 1 Velocity Distribution in Path 2

Turbulent Kinetic Energy in Condition 1 Turbulent Kinetic Energy in Condition 2

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Heat and Fluid Flow Analysis Flat Plate Type Heat Exchanger

Flow Rate m3/hr

Density_1 kg/m3

Specific Heat_1 J/kgK

Thermal Conductivity_1 w/mK

Viscosity kg/ms

Density_2 kg/m3

Specific Heat_2 J/kgK

Thermal Conductivity_2 w/mK

Pressure Distribution in Path 1 Pressure Distribution in Path 2

Velocity Distribution in Path 1 Velocity Distribution in Path 2

Temperature Distribution in Path 1 Temperature Distribution in Path 2

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Fatigue Failure and Life Analysis Ladle Metallurgical Furnace Cover

Specific Heat J/kgK

Thermal Conductivity W/mK

Thermal Expansion Rate 1/K

Young’s Modulus GPa

Poisson’s Ratio -

Allowable Yield Stress MPa

Fatigue Strength Coef. MPa

Fatigue Strength Expo. -

Temperature Distribution at Lower Side Temperature Distribution at Upper Side

Temperature Distribution in Cross Section Temp. Fluctuation in Progress of Time

Thermal Stress Distribution at Lower Side Thermal Stress Distribution at Upper Side

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Thermal Stress Analysis Chemical Plant Concentric Pipe

Conv. Heat Transfer Coef. W/m2K

Density kg/m3

Specific Heat J/kgK

Thermal Conductivity W/mK

Thermal Expansion Rate 1/K

Young’s Modulus GPa

Poisson’s Ratio -

Allowable Yield Stress MPa

Displacement Due to Thermal Expansion Displacement Due to Thermal Expansion

Principal Stress and Displacement Due to Thermal Expansion

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Mass Transfer Analysis Flame Propagation

Flow Rate m3/hr

Density_1 kg/m3

Specific Heat_1 J/kgK

Thermal Conductivity_1 w/mK

Viscosity kg/ms

Density_2 kg/m3

Specific Heat_2 J/kgK

Thermal Conductivity_2 w/mK

65℃ Iso-Thermal Surface at 30 sec. CO Concentration Distribution at 30 sec.

65℃ Iso-Thermal Surface at 40 sec. CO Concentration Distribution at 40 sec.

65℃ Iso-Thermal Surface at 50 sec. CO Concentration Distribution at 50 sec.

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Design Optimization Bag Filter Duct Fixture Optimization(Uniform Flow Rate)

Design Condition m/s

Density kg/m3

Viscosity kg/ms

Pressure Drop Pa

Inlet duct Pressure Pa

Outlet duct Pressure Pa

Bag Filter Porosity -

Bag filter Permeability -

Velocity Distribution in Design 1 Velocity Distribution in Design 2

Velocity Distribution in Design 3 Velocity Distribution in Duct Design 1

Temp. Distribution in Duct Design 2 Temp. Distribution in Duct Design 3

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Process Optimization Chemical Film Making Process Optimization

Flow Rate m3/hr

Density_1 kg/m3

Specific Heat_1 J/kgK

Thermal Conductivity_1 w/mK

Viscosity kg/ms

Density_2 kg/m3

Specific Heat_2 J/kgK

Thermal Conductivity_2 w/mK

Velocity Distribution in West Velocity Distribution in Middle

Velocity Distribution in East Turbulence Intensity in West

Turbulence Intensity in Middle Turbulence Intensity in East

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Process Optimization HRSG(Heat Recovery Steam Generators) Plant

Flow Rate m3/hr

Density_1 kg/m3

Specific Heat_1 J/kgK

Thermal Conductivity_1 w/mK

Viscosity kg/ms

Density_2 kg/m3

Specific Heat_2 J/kgK

Thermal Conductivity_2 w/mK

Calculation Domain Velocity Distribution in Drum

Velocity Distribution in Fin Tube Temperature Distribution in Fin Tube

Particle Trackings in Fin Tube Bundle Temperature Distribution in Tube Bundle

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Track Record 수행일자 내 용 발주처

2007. 12 기류특성을 고려한 PI film 제조 공정 최적화 시뮬레이션 ㈜SKC-Kolon

2007. 12 경남도청 문화시설 공조 설비 적정성 검토(시뮬레이션) ㈜우원 M&E

2008. 1 연세대학교 종합체육관 공조 설비 적정성 검토(시뮬레이션) ㈜동우설비

2008. 7 알펜시아 빌라동 공조 설비 적정성 검토(시뮬레이션) ㈜동부건설

2008. 8 열 및 유체유동 해석 코드(hFlowTM) 납품 ㈜q&it

2008. 8 미디어폴 내부 열유동 해석(디자인 서울 사업) ㈜삼성 SDS

2008. 10 항온 챔버 내부 열유동 해석 ㈜대양이티에스

2009. 4 안산 하수종말 처리장 화재 해석 ㈜삼보기술단

2009. 8 Ladle Furnace Cover 잔류 열응력을 고려한 피로수명 해석 ㈜우진 INC

2010. 3 크루즈 캐빈 모듈을 이용한 도심형 생활주택의 열환경 해석 (사)한국환경건축연구원

2010. 3 온산 하수재이용 시설 화재 해석 ㈜삼보기술단

2010. 8 대산 하수재이용 시설 화재 해석 ㈜삼보기술단

2010. 8 춘천 소각장 덕트 설비 설계(시공상세도) ㈜해원

2010. 9 열유동 해석을 통한 실리콘 웨이퍼 잉곳 용융로 적정성 검토 ㈜대진기계

2010. 10 익산 하수재이용 시설 화재 해석 ㈜삼보기술단

2011. 6 STX 대구 유체펌프 배관 설비 유동 해석 ㈜일진에너지

2011. 10 각도조절형 수직축 소형풍력 발전 시스템 개발 한국에너지기술평가원

2011. 11 전열교환기 열교환 소자 열유동 해석 ㈜윈드림

2012. 2 대산 하수재이용 시설 화재 해석 ㈜삼보기술단

2012. 5 열유동 해석을 통한 소각로용 백필터 설계 적정성 검토 ㈜전주페이퍼

2012. 9 화공플랜트 설비용 이중보온배관 열응력 해석 ㈜휴비스

2013. 2 열유동 해석을 통한 반도체 광학검사장비 방열 설계 ㈜오로스테크놀로지

http://yyyoonjung.wixsite.com/hflow , http://web.yonsei.ac.kr/hflow 페이지 16/16 Copyright ⓒ 2019 hFlow All rights reserved.

History of Company 연혁 일자 내 용 인증 기관

2004. 1 격자 생성 코드 gFlowTM 개발 완료

2004. 8 응력 해석 코드 sFlowTM 개발 완료

2007. 1 열 및 유체 유동 해석 코드 hFlowTM 개발 완료

2007. 4 설계 최적화 코드 aFlowTM 개발 완료

2007. 7 Simulation Source Code

(gFlowTM, hFlowTM, sFlowTM, aFlowTM) 소프트웨어 등록

한국소프트웨어

산업협회

2007. 7 Engineering 분야 기술용역 서비스를 목적으로 hFlow 설립 관할 세무서

Contact Us

Phone:

82-2-313-9838

Online:

Contact form

Email:

yyyoonjung@gmail.com