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UNIVERSID D N CION L DE TRUJILLO
FACULTAD DE INGENIERIA
ESCUELA DE INGENIERIA MECNICA
Curso: Mecnica de Fluidos II.
Docente: Ms.Ing. Luis Julca Verstegui. .
Trujillo 2 11AlumnoVsquez Arribasplata Gilmer Fidel
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PRCTICA DE AULA
Anlisis de la influencia del ngulo de apertura en las prdidas de carga enuna vlvula de globo o determinacin del coeficiente de prdidas de la vlvulaK.
OBJETIVOS:1. Hallar las prdidas de carga de los conductos L1y L2.2. Hallar la influencia del ngulo () o ngulo de apertura de la vlvula
sobre el coeficiente de prdidas.
DATOS PARA LA SIMULACIN
1.De=Ds=20 mm.2.Longitud de desarrollo = L1= L2= 3. Material: Fundicin de hierro maleable, e=0,26 mm4.Q= Caudal volumtrico=0.005 m3 Pe,Ps,P1,P2son presiones estticas.5.Fluido: agua (=1000 Kg/m3.
CONSIDERACIONES PARA EL FLUJO: Fluido incompresible. Flujo permanente. Sistema Adiabtico y aislado. T=293.15K (dada en la entrada) Flujo sin gravedad.
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COMENTARIO SOBRE LA VLVULA.Cuando se ve el ensamblaje de la vlvula en SolidWorks se puede notar queesta est cerrada completamente a partir de los 51. Pero se har unasimulacin tomando 60 para observar el comportamiento de la simulacin ylos resultados.
CLCULOS.Velocidad :
Reynolds:
Longitud de las tuberas igual a la longitud de desarrollo:
PROCEDIMIENTO PARA OBTENER EL COEFICIENTE DEPRDIDAS.Se tiene que las prdidas totales son iguales a:
Se tiene que para 0 las prdidas de las vlvula son cero as que para estengulo se tiene:
Y se da que en la salida.Luego para cualquier otro ngulo se tendr que:
Y las pedidas totales sern:
Luego despejando K queda:FORMULA (A)
Donde se determina cuando la vlvula est a 0.
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RESULTADOS DE LA SIMULACIN PARA DETERMINAR LAPRESION DE ENTRADA SEGN EL NGULO DE APERTURA DE
LA VLVULA.
System InfoProduct Flow Simulation 2011 0.0. Build: 1440Computer name GLMERVASQUEZAUser name Glmer Vasquez AProcessors Intel(R) Core(TM) i5 CPU M 430 @
2.27GHzMemory 3894 MB / 8388607 MBOperating system Service Pack 1 (Build 7601)CAD version SolidWorks 2011 SP0.0
CPU speed 2267 MHz
General I nfo
Model C:\Users\Glmer Vasquez A\Desktop\MASDOCUMENTOS\VII\MECNICA DEFLUIDOS II\LABORATORIOCFD\II\FloWorks\ball valve.sldasm
Project name Analisis de valvula globo #Project path C:\Users\Glmer Vasquez A\Desktop\MAS
DOCUMENTOS\VII\MECNICA DE
FLUIDOS II\LABORATORIOCFD\II\FloWorks\6Units system SI (m-kg-s)Analysis type InternalExclude cavities without flow conditions OnCoordinate system Global coordinate systemReference axis X
Initial Mesh SettingsAutomatic initial mesh: OnResult resolution level: 5
Advanced narrow channel refinement: OffRefinement in solid region: OffGeometry ResolutionEvaluation of minimum gap size: AutomaticEvaluation of minimum wall thickness: AutomaticComputational Domain
Size
X min -0.713 mX max 0.713 m
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Y min -0.010 mY max 0.010 mZ min -0.010 mZ max 0.010 m
Boundary Conditi ons
2D plane flow NoneAt X min DefaultAt X max DefaultAt Y min DefaultAt Y max DefaultAt Z min DefaultAt Z max Default
Physical Features
Heat conduction in solids: Off
Time dependent: OffGravitational effects: OffFlow type: Turbulent onlyCavitation: OffHigh Mach number flow: OffDefault roughness: 260.0 micrometerDefault wall conditions: Adiabatic wall
Initial ConditionsThermodynamic parameters Static Pressure: 101325.00 Pa
Temperature: 293.20 K
Velocity parameters Velocity vectorVelocity in X direction: 0 m/sVelocity in Y direction: 0 m/sVelocity in Z direction: 0 m/s
Material Settings
Fluids: Water
Boundary ConditionsInlet Volume Flow 1
Type Inlet Volume FlowFaces Face Coordinate system Face Coordinate SystemReference axis XFlow parameters Flow vectors direction: Normal to face
Volume flow rate normal to face: 0.0050 m^3/sFully developed flow: Yes
Thermodynamic parameters Temperature: 278.00 K
Static Pressure 1
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Type Static PressureFaces Face Coordinate system Face Coordinate SystemReference axis XThermodynamic parameters Static pressure: 400000.00 Pa
Temperature: 293.00 K
Goals -Surface GoalsSG Av Static Pressure 1Type Surface GoalGoal type Static PressureCalculate Average valueFaces Cara@LID1-1Coordinate system Global coordinate systemUse in convergence On
SG Av Velocity 1
Type Surface GoalGoal type VelocityCalculate Average valueFaces Cara@LID2-1Coordinate system Global coordinate systemUse in convergence On
Calculation Control Options
F in ish Conditi ons
Finish conditions If one is satisfiedMaximum travels 4.000Goals convergence Analysis interval: 0.500
Solver Ref inement Ref inement: Di sabled
Resul ts Saving
Save before refinement On
Advanced Control Options- F low Freezing
Flow freezing strategy Disabled
DMNSOED
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LA TUBERA DE ENTRADA (IGUAL PARA LA SAL IDA) EST DADA POR LA LONGITUD ENQUE EL F LUJO SE CONVIERTE EN COMPLETAMENTE DESARROLL ADO.
REFERENCIA DE LOS ANGULOS DE APERTURA DE LA VALVULA, TOMADA DESDE ELEJE CENTRAL DE LA TUBERA.
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POSICIONAM IENTO DE LA ESFERA PARA UN NGULO DADO.
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RESULTADOS
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ANALISI S DE VALVULA GLOBO 0
General InfoIterations: 169CPU time: 1091 s
LogMesh generation started 23:00:39 , Jun 15Mesh generation normally finished 23:00:55 , Jun 15Preparing data for calculation 23:00:58 , Jun 15Calculation started 0 23:01:04 , Jun 15Calculation has converged since the followingcriteria are satisfied: 168
23:19:57 , Jun 15
Goals are converged 168Calculation finished 169 23:20:11 , Jun 15
Calculation MeshBasic Mesh Dimensions
Number of cells in X 362Number of cells in Y 6Number of cells in Z 6
Number Of Cell s
Total cells 103136Fluid cells 62464
Solid cells 8752Partial cells 31920Irregular cells 0Trimmed cells 0
Maximum refinement level: 1
GoalsName Unit Value Progress Use in convergence Delta CriteriaSG AvStaticPressure 1
Pa 1319624.44 100 On 1623.42086 8927.67081
SG AvVelocity 1
m/s 15.913 100 On 0.00277631927
0.00330529118
Min/Max TableName Minimum MaximumPressure [Pa] -128927.59 1320331.61Temperature [K] 277.97 278.32
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Velocity [m/s] 0 47.143X - Component of Velocity[m/s]
-8.314 47.143
Y - Component of Velocity[m/s]
-17.394 17.511
Z - Component of Velocity[m/s]
-17.665 17.692
Fluid Temperature [K] 277.97 278.32Shear Stress [Pa] 0 17724.68Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 1000.57 1000.63
ANALISI S DE VALVULA GLOBO 5
General InfoIterations: 121CPU time: 511 s
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 362Number of cells in Y 6Number of cells in Z 6
Number Of Cell s
Total cells 103276Fluid cells 62452Solid cells 8844Partial cells 31980
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Irregular cells 0Trimmed cells 20
Maximum refinement level: 1
GoalsName Unit Value Progress Use in
convergence
Delta Criteria
SG AvStaticPressure 1
Pa 1503212.03 100 On 11208.8265 11823.2427
SG Av X -Componentof Velocity1
m/s -15.984 100 On 0 1.59840776e-007
Min/Max Table
Name Minimum MaximumPressure [Pa] -224280.50 1505282.47Temperature [K] 293.15 293.55Velocity [m/s] 0 51.403X - Component of Velocity[m/s]
-51.386 13.050
Y - Component of Velocity[m/s]
-18.915 18.920
Z - Component of Velocity[m/s]
-19.590 16.635
Fluid Temperature [K] 293.15 293.55
Shear Stress [Pa] 0 23230.07Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 997.47 997.57
ANAL ISI S DE VALVULA GLOBO 10
General InfoIterations: 183CPU time: 1203 s
Log
Mesh generation started 21:08:29 , Jun 14Mesh generation normally finished 21:08:46 , Jun 14Preparing data for calculation 21:08:49 , Jun 14Calculation started 0 21:08:56 , Jun 14Calculation has converged since the following 21:29:36 , Jun 14
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criteria are satisfied: 182Goals are converged 182
Calculation finished 183 21:29:49 , Jun 14
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 362Number of cells in Y 6Number of cells in Z 6
Number Of Cell s
Total cells 103388Fluid cells 62408Solid cells 8904Partial cells 32076Irregular cells 0Trimmed cells 8
Maximum refinement level: 1
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 1941017.23 100 On 3036.90381 26760.6131
SG AvVelocity 1
m/s 15.914 100 On 0.00312036237
0.00331366953
Min/Max TableName Minimum MaximumPressure [Pa] 1939361.14 1943088.28
Temperature [K] 277.80 278.66Velocity [m/s] 0 71.634X - Component of Velocity[m/s]
-24.309 71.508
Y - Component of Velocity[m/s]
-22.146 22.131
Z - Component of Velocity[m/s]
-36.496 22.943
Fluid Temperature [K] 277.80 278.66Shear Stress [Pa] 0 39636.50
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Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 1000.52 1000.65
ANAL ISI S DE VALVULA GLOBO 15
General InfoIterations: 183CPU time: 1203 s
Log
Mesh generation started 21:08:29 , Jun 14Mesh generation normally finished 21:08:46 , Jun 14Preparing data for calculation 21:08:49 , Jun 14Calculation started 0 21:08:56 , Jun 14Calculation has converged since the followingcriteria are satisfied: 182
21:29:36 , Jun 14
Goals are converged 182Calculation finished 183 21:29:49 , Jun 14
Calculation MeshBasic Mesh Dimensions
Number of cells in X 362Number of cells in Y 6Number of cells in Z 6
Number Of Cell s
Total cells 103388Fluid cells 62408Solid cells 8904Partial cells 32076Irregular cells 0Trimmed cells 8
Maximum refinement level: 1
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
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SG AvStaticPressure 1
Pa 2766798.51 100 On 3036.90381 26760.6131
SG AvVelocity 1
m/s 15.914 100 On 0.00312036237
0.00331366953
Min/Max TableName Minimum MaximumPressure [Pa] -632632.17 2767503.94Temperature [K] 277.80 278.66Velocity [m/s] 0 71.634X - Component of Velocity[m/s]
-24.309 71.508
Y - Component of Velocity[m/s] -22.146 22.131
Z - Component of Velocity[m/s]
-36.496 22.943
Fluid Temperature [K] 277.80 278.66Shear Stress [Pa] 0 39636.50Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 1000.52 1000.65
ANAL ISI S DE VALVULA GLOBO 20
General I nfo
Model C:\Users\Glmer Vasquez A\Desktop\MASDOCUMENTOS\VII\MECNICA DEFLUIDOS II\LABORATORIO
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CFD\II\FloWorks\ball valve.sldasmProject name ANLISIS VLVULA DE GLOBO 20 (5)Project path C:\Users\Glmer Vasquez A\Desktop\MAS
DOCUMENTOS\VII\MECNICA DEFLUIDOS II\LABORATORIOCFD\II\FloWorks\6
Units system SI (m-kg-s)
Analysis type InternalExclude cavities without flow conditions OnCoordinate system Global coordinate systemReference axis X
General InfoIterations: 133CPU time: 1444 s
Log
Mesh generation started 18:18:10 , Jun 18Mesh generation normally finished 18:18:41 , Jun 18Preparing data for calculation 18:18:45 , Jun 18Calculation started 0 18:18:57 , Jun 18Calculation has converged since the followingcriteria are satisfied: 132
18:44:16 , Jun 18
Goals are converged 132Calculation finished 133 18:44:38 , Jun 18
Warnings: Negative pressure Minimum pressure=-1.24239e+006 Pa; dV/V=4.6988
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 362Number of cells in Y 4Number of cells in Z 6
Number Of Cell s
Total cells 290704Fluid cells 155164Solid cells 39128Partial cells 96412Irregular cells 0Trimmed cells 24
Maximum refinement level: 2
GoalsName Unit Value Progress Use in Delta Criteria
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convergenceSG AvStaticPressure 1
Pa 4373153.98 100 On 23180.0188 54481.1266
SG Av X -Componentof Velocity
1
m/s 15.962 100 On 0 1.59622872e-007
Min/Max TableName Minimum MaximumPressure [Pa] -1242388.19 4374809.42Temperature [K] 292.66 294.24Velocity [m/s] 0 89.729X - Component of Velocity[m/s]
-29.753 88.637
Y - Component of Velocity
[m/s]
-36.853 36.924
Z - Component of Velocity[m/s]
-65.129 64.425
Fluid Temperature [K] 292.66 294.24Shear Stress [Pa] 0 70921.48Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 997.30 997.69
ANAL ISI S DE VALVULA GLOBO 30
General InfoIterations: 297CPU time: 4913 s
Log
Mesh generation started 22:56:07 , Jun 14Mesh generation normally finished 22:56:47 , Jun 14Preparing data for calculation 22:56:51 , Jun 14Calculation started 0 22:57:07 , Jun 14Calculation has converged since the followingcriteria are satisfied: 296
00:23:41 , Jun 15
Goals are converged 296Calculation finished 297 00:24:15 , Jun 15
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Warnings: Negative pressure Minimum pressure=-4.69823e+006 Pa; dV/V=7.79141
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 336
Number of cells in Y 4Number of cells in Z 6
Number Of Cell s
Total cells 290304Fluid cells 141016Solid cells 57472Partial cells 91816Irregular cells 0Trimmed cells 12
Maximum refinement level: 2
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 1.61e+007 100 On 1558.09644 253587.046
SG AvVelocity 1
m/s 15.615 100 On 0.00434710205
0.00458073527
Min/Max TableName Minimum MaximumPressure [Pa] -4698233.20 1.61e+007Temperature [K] 277.04 281.90Velocity [m/s] 0 149.239X - Component of Velocity[m/s]
-42.861 139.942
Y - Component of Velocity[m/s]
-82.903 84.933
Z - Component of Velocity[m/s]
-86.491 79.812
Fluid Temperature [K] 277.04 281.90Shear Stress [Pa] 0 261371.87Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 999.97 1000.77
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ANAL ISI S DE VALVULA GLOBO 40
General InfoIterations: 132CPU time: 1596 s
Log
Mesh generation started 14:27:57 , Jun 19Mesh generation normally finished 14:28:24 , Jun 19Preparing data for calculation 14:28:29 , Jun 19Calculation started 0 14:28:40 , Jun 19Calculation has converged since the followingcriteria are satisfied: 131
14:56:20 , Jun 19
Goals are converged 131Calculation finished 132 14:56:45 , Jun 19
Warnings: Negative pressure Minimum pressure=-1.96497e+007 Pa; dV/V=11.8146
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 326
Number of cells in Y 4Number of cells in Z 6
Number Of Cell s
Total cells 281552Fluid cells 147116Solid cells 50408Partial cells 84028Irregular cells 0
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Trimmed cells 16
Maximum refinement level: 2
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 8.45e+007 100 On 783273.384 1128525.09
SG Av X -Componentof Velocity1
m/s 15.952 100 On 0 1.59517326e-007
Min/Max TableName Minimum Maximum
Pressure [Pa] -1.96e+007 8.45e+007Temperature [K] 282.66 308.78Velocity [m/s] 0 335.239X - Component of Velocity[m/s]
-96.522 298.449
Y - Component of Velocity[m/s]
-146.934 147.143
Z - Component of Velocity[m/s]
-191.751 159.048
Fluid Temperature [K] 282.66 308.78Shear Stress [Pa] 0 798390.07
Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 992.97 999.83
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ANAL ISI S DE VALVULA GLOBO 45
General InfoIterations: 390CPU time: 5935 s
Log
Mesh generation started 01:18:17 , Jun 15Mesh generation normally finished 01:18:56 , Jun 15Preparing data for calculation 01:18:59 , Jun 15Calculation started 0 01:19:15 , Jun 15Calculation has converged since the followingcriteria are satisfied: 389
03:00:50 , Jun 15
Goals are converged 389Calculation finished 390 03:01:22 , Jun 15
Warnings: Negative pressure Minimum pressure=-2.88076e+007 Pa; dV/V=17.2884
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 322Number of cells in Y 4Number of cells in Z 6
Number Of Cell s
Total cells 275555Fluid cells 137783Solid cells 54832Partial cells 82940Irregular cells 0Trimmed cells 28
Maximum refinement level: 2
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 3.15e+008 100 On 388590.546 3461848.96
SG AvVelocity 1
m/s 15.966 100 On 0.00682016258
0.00691479553
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Min/Max TableName Minimum MaximumPressure [Pa] -2.88e+007 3.15e+008Temperature [K] 253.88 352.24Velocity [m/s] 0 562.867X - Component of Velocity[m/s]
-145.178 561.641
Y - Component of Velocity[m/s]
-288.357 290.549
Z - Component of Velocity[m/s]
-434.411 340.491
Fluid Temperature [K] 253.88 352.24Shear Stress [Pa] 0 2823008.64Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 972.61 1001.30
ANAL ISI S DE VALVULA GLOBO 50
General InfoIterations: 163CPU time: 1828 s
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Log
Mesh generation started 19:35:13 , Jun 18Mesh generation normally finished 19:35:40 , Jun 18Preparing data for calculation 19:35:44 , Jun 18Calculation started 0 19:35:54 , Jun 18Calculation has converged since the followingcriteria are satisfied: 162
20:07:53 , Jun 18
Goals are converged 162Calculation finished 163 20:08:13 , Jun 18
Warnings: Negative pressure Minimum pressure=-9.18753e+008 Pa; dV/V=19.1961
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 320
Number of cells in Y 4Number of cells in Z 6
Number Of Cell s
Total cells 278160Fluid cells 148796Solid cells 46952Partial cells 82412Irregular cells 0Trimmed cells 12
Maximum refinement level: 2
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 1.63e+010 100 On 108159308 109152416
SG Av X -Component
of Velocity1
m/s -15.954 100 On 0 1.59544129e-007
Min/Max TableName Minimum MaximumPressure [Pa] -9.19e+008 1.63e+010Temperature [K] 2.75 2826.99Velocity [m/s] 0 4109.324X - Component of Velocity -4107.713 672.194
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[m/s]Y - Component of Velocity[m/s]
-1130.396 1124.890
Z - Component of Velocity[m/s]
-887.387 1293.434
Fluid Temperature [K] 2.75 2826.99Shear Stress [Pa] 0 3.53e+008
Heat Transfer Coefficient[W/m^2/K] 0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 807.83 1001.30
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ANAL ISI S DE VALVULA GLOBO 60
General InfoIterations: 356CPU time: 2485 s
Log
Mesh generation started 15:27:51 , Jun 15Mesh generation normally finished 15:28:09 , Jun 15Preparing data for calculation 15:28:11 , Jun 15Calculation started 0 15:28:18 , Jun 15Calculation has converged since the followingcriteria are satisfied: 355
16:11:17 , Jun 15
Goals are converged 355Calculation finished 356 16:11:32 , Jun 15
Warnings: A vortex crosses the pressure opening Boundary Condition : Static Pressure 1 ; Inletflow/outlet flow=1.00082
Calculation Mesh
Basic Mesh Dimensions
Number of cells in X 369Number of cells in Y 6Number of cells in Z 8
Number Of Cell s
Total cells 98968Fluid cells 54560Solid cells 12248Partial cells 32160Irregular cells 0Trimmed cells 56
Maximum refinement level: 1
GoalsName Unit Value Progress Use in
convergenceDelta Criteria
SG AvStaticPressure 1
Pa 101325.00 100 On 0 0.00101325
SG AvVelocity 1
m/s 1.351e-008 100 On 1.25446729e-009
1.34864232e-009
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Min/Max TableName Minimum MaximumPressure [Pa] 101325.00 400000.00Temperature [K] 278.00 293.20Velocity [m/s] 0 1.322e-006X - Component of Velocity[m/s]
-1.233e-006 1.297e-006
Y - Component of Velocity[m/s]
-8.735e-007 7.348e-007
Z - Component of Velocity[m/s]
-7.859e-007 9.364e-007
Fluid Temperature [K] 278.00 293.20Shear Stress [Pa] 0 1.72e-007Heat Transfer Coefficient[W/m^2/K]
0 0
Surface Heat Flux [W/m^2] 0 0Density [kg/m^3] 997.56 1000.62
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RESULTADOS DE LA PRESION DE ENTRADA SEGN ELANGULO DE APERTURA DE LA VALVULA-.
NGULO DE APERTURA DE
LA VLVULA
PRESION DE
ENTRADA (Pa)0 1319624.445 1503212.0310 1941017.2315 2766798.5120 4373153.9830 1.61e+007
40 8.45e+00745 3.15e+00850 1.63e+01060
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De la tabla anterior se tiene la respuesta al primer objetivo planteado dadoque para 0 las perdidas son solo para la tubera entonces:
Y el coeficiente de prdida de carga se halla de acuerdo a la FRMULA (Adada en la pgina 3.
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NGULO DE APERTURADE LA VLVULA
COEFICIENTE DEPRDIDAS K.
5 1.449610 4.907615 11.427320 20.111230 116.7084
40 656.80645 2476.873550 128697.216260
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Grfica del coeficiente
de resistencia de la
vlvula globo versus elAngulo que se desplaza
la llave la vlvula de
globo.
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Conclusiones:Respecto a la grfica se puede decir que el factor de prdidas se hacemuy grande cuando el ngulo pasa de los 45 y debido adems que lostiempos de simulacin para ngulos cercanos al ngulo de cierre sonbastante largos.Respecto al resultado para el ngulo de 60 el programa arroja lapresin atmosfrica y una velocidad cero para la parte de entrada ycomo se sabe al estar completamente cerrada no tiene sentido evaluar elcoeficiente de prdidas y es por eso que el programa nos arroja que lapresin de entrada es la exterior que se da en la simulacin, aunque paraun ngulo de cierre total y segn la grfica se puede decir que elcoeficiente tiende a infinito.Para aplicaciones con la vlvula y para tener mayor exactitud en elclculo de prdidas sera ptimo que se realicen las simulaciones
primera entre 0 y 30 y luego entre 30 y 50 debido a que a partir de30 el coeficiente se incrementa muy rpido y con valores muy altos.