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求解圆管中流体以及管壁的温度分布

1、设置参数

pi=acos(-l)

ri=(⑸16)-0.083)*0.0254!管内半径

0=(916)*0.0254!管外半径

1=12*0.0254!管长度

nthick=l!径向单元个数

size=(rO-ri)/nthick!径向单元长度

nlength=nint(l/size)!长度方向单元个数

ktube=100!管导热系数

kwater=0.6!流体导热系数

denswatr=1000!流体密度

cwater=4183!流体比热

vinput=3!入口流速

carea=pi*(ri**2)!流通面积

massflow=vinput*carea*denswatr!质量流率

tinlet=20!流体入口温度

tbulk=100!管外环境温度

hi=15000!管内壁与流体的对流系数

h0=10000!管外壁对流系数

2、定义三类单元

FLUID116,kl=l,k2=l

SURF151,k3=l,k4=l,k5=l,k8=2

Plane55,k3=l

(1)FLUID116,kl=l,k2=l

AElementTypes

DefinedElementTypes:__________

Type1FLUID116

Type2SURF151

Add.,・|iptions.・]Delete

CloseIHelp

(2)SURF151,k3=l,k4=l,k5=l,k8=2

AElementTypes司

DefinedElementTypes:

Type1FLUID116

ype2SURF151

Add...•ptions..

CloseHelp

ASURF151elementtypeoptions

OptionsfovSURF151,ElementTypeRef.No.2

Adiabaticwalltemp,optionKI1Rotat-absolute二j

RecoveryfactoroptionK2|Fr=NRF

ElementbehaviorK31Axisymmetric二|

MidsidenodesK41Exclude

Extranodeforradiation-K5|Include1nodeJ

-and/orconvectioncalculations

UseofbulktemperatureK61Fluidnodetemp二j

hfempiricalterm|TS-TB|**nK7|Exclude

HeatfluxandconvertloadsK8

HfataverageT▼

RadiationformfactcalcasK91Excluderadiatn勺

OK!CancelHelp

(3)Plane55,k3=l

AElementTypes

DefinedElementTypes:

Type1FLUID116

Type2SURF151

ype3PLANE55

Add...iptions...Delete

CloseHelp

3、定义实常数

(1)r,l,2*ri,carea,l

ARealConstants

DefinedRealConstantSets

Set1

Add,・・|Edit...|Delete|

CloseHelp

4、定义材料

mp,kxx,l,kwater

mp,c,l,cwater

mp,dens,Ldenswatr

mp,kxx,3,ktube

(1)mp,kxx,l,kwater

(2)mp,c,l,cwater

(3)mp,dens,Ldenswatr

(4)mp,kxx3ktube

5、建模

(1)关键点k,1,0,0,0k,2,0,-1,0k,3,0,-l-size,0

POINTSANSYS

HOV142015

TYPENUM

21:10:46

(2)建直线1,1,2\,2,3

1

FOIMTSANSYS

RV14201S

TYWSUK

21:10:U

LINESANSYS

NOV142015

LINENUM

21:17:31

(3)创建组元waterlin

UtilityMenu>Select>Comp/Assembly>CreateComponent

(4)生成管壁

AREASANSYS

NOV212015

TYPENUM

14:05:27

6、划分网格

(1)Lmesh,l,lmesh,2

MainMenu>Preprocessor>l\/leshing>SizeCntrls>ManualSize>Global>Size

1

1

ELEMENTSL_xANSYS

NOV212015

14:07:16

MainMenu>Preprocessor>l\/leshing>SizeCntrls>ManualSize>Global>Size

MainMenu>Preprocessor>Meshing>SizeCntrls>ManualSize>Lines>AllLines

MainMenu>Preprocessor>l\/leshing>SizeCntrls>ManualSize>Global>Size

IES1ZE]Globalelementsizesanddivisions(appliesonly

to"unsized*lines)

SIZEElementedgeten9th

ND1VNo.ofelementdivisions-

-(us«donlyifelemented9elength.SIZE,isblankorzero)

Cancel

LINESANS

LINENUMF

NOV15:

15:1:

5

MainMenu>Preprocessor>Meshing>MeshAttributes>DefaultAttribs

1

ELEMENTSL_XANSYS

NOV212015

14:09:56

(2)创建表面效应单元

UtilityMenu>Select>Comp/Assembly>CreateComponent

Main>Menu>Preprocessor>Modeling>Create>Elements>Surf/Contact>S

urfEffect>AttchtoFluid>linetoFluid

AN

NOV15

153

7、施加载荷

(1)流体入口温度

1

ELEMENTSANSYS

NOV212015

14:11:02

(2)管外壁对流

MainMenu>Preprocessor>Loads>DefineLoads>Apply>Thermal>Temperature>On

keypoints

ELEMENTSANSYS

ApplyCONVonLinesNOV152015

22:42:46

(•iPick1(〜Unpick

(•Single〜Box

CPolygon(、Circle

「Loop

Count=1

Maximum=€

Minimum=1

LineNo.=4

(•Li”ofItems

CMin,Max,Inc

OKApply

RegetCancel

PickAllHelp

AApplyCONVonlines次

[SFL]ApplyFilmCoefonlinesConstantvalue

IfConstantvaluethen:

VAUFilmcoefficientho|

[SFL]ApplyBulkTemponlinesConstantvalue▼

IfConstantvaluethen:

VAL2IBulktemperaturetbulk

IfConstantvaluethen:

OptionalCONVvaluesatendJofline

(leaveblankforuniformCONV)

VAUFilmcoefficient

VAL2JBulktemperature

OKICancelIHelp

1

ELEMENTS,LXAWSYS

NOV212015

14:11:02

(3)管内壁对流

MainMenu>Preprocessor>Loads>DefineLoads>Apply>Thermal>Convec

tion>OnElements>Unifom

AApplyCONVonelems

[SFE]ApplyUniformConvection(CONV)onElements

[SFE]ApplyFilmCoefonelems|Constantvalue二]

IfConstantvaluethen:

VAUFilmcoefficienthi

[SFE]ApplyBulkTemponelemsConstantvalue▼

IfConstantvaluethen:

VAL2IBulktemperature0

LKEYLoadkey,usuallyfaceno.

OKCancel

(4)管内流体质量流率

MainMenu>Solution>DefineLoads>Apply>Thermal>HeatFlux>On

Elements

8、求解

l.OE+Ol-

HEATCRIT

U

UI

NO

B

u

u

o)b

u

8

>

u

o

u

nJJ

T

o

s

q

Y

l.OE+OO

20

二三

CumulativeIterationNumber

9、后处理

24.965534.896544.827554.758564.6894

APRNSOLCommand耳

File

>

PRINTTEMPNODALSOLUTIONPERNODE

*****POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCfiSE=0

NODETEMP

120.000

224.082

320.029

420.058

520.087

620.116

720.145

820.174

920.203

1020.203

1120.261

1220.290

1320.319

1420.348

1520.377

1620.406

1720.435

1820.464

1920.493

2020.522

2120.551

2220.580

2320.580▼

APRNSOLCommand卜中:*T

File

2320.580▲

2420.638

2520.667

2620.695

2720.724

2820.724

2920.782

3020.811

3120.839二

3220.839

3320.897

3420.926

3520.926

3620.983

3720.983

3821.041

3921.069

*****POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCASE=0

NODETEMP

4021.069

4121.127

4221.127

4321.184

4421.213

4521.213

4621.270

4721.270▼

APRNSOLCommand

File

4821.327

4921.32?

5021.385

5121.413

5221.413

5321.470

5421.470

5521.527

5621.556

5721.556

5821.613

5921.613

6021.670

6121.670

6221.727

6321.755

6421.755

6521.784

6621.812

6721.869

6821.898

6921.926

7021.954

7121.954

7222.011

7322.040

7422.068

7522.096

7622.125

7722.125

7822.181

*****P0ST1NODALDEGREEOFFREEDOMLISTING

f

APRNSOLCommand宣

File

*****POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCASE=0

NODETEMP

7922.210

8022.238

8122.266

8222.266

8322.323

8422.351

8522.379

8622.407

8722.407

8822.464

8922.492

9022.520

9122.520

9222.577

9322.605

9422.633

9522.661

9622.661

9722.717

9822.745

9922.773

10022.801

10122.801

10222.858

10322.886

APRNSOLCommand声

File

1

PRINTTEMPNODALSOLUTIONPERNODE

*****POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCASE=0

NODETEMP

14964.689

15062.821

15164.687

15264.679

15364.669

15464.658

15564.646

15664.635

15764.623

15864.610

15964.596

16064.583

16164.569

16264.556

16364.543

16464.531

16564.518

16664.507

16764.495

16864.483

16964.470▼

APRNSOLCommand叵

File

16964.470

17064.456

17164.442

17264.428

17364.415

17464.403n

17564.391

17664.378三

17764.364

17864.351

17964.338

18064.326

18164.313

18264.300

18364.286

18464.274

18564.261

18664.248

18764.235

*****POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCASE=0

NODETEMP

18864.221

18964.209

19064.196

19164.183▼

APRNSOLCommand国

File

19264.169

19364.156

19464.143

19564.131

19664.118

19764.104

19864.091

19964.078

20064.066

20164.053

20264.039n

20364.025

20464.013J

20564.000■

20663.987

20763.9741—1

20863.961

20963.948

21063.935

21163.921

21263.907

21363.895

21463.882

21563.869

21663.855

21763.842

21863.829

21963.816

22063.803

22163.789

22263.775▼

八PRNSOLCommand

File

63.762

22463.750

22563.737

22663.724

**POST1NODALDEGREEOFFREEDOMLISTING

LOADSTEP=1SUBSTEP=1

TIME=1.0000LOADCASE=0

NODETEMP

22763.710

22863.697

22963.684

23063.671

23163.658

23263.644

233

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