Inputs# of pipe bends 6Staight pipe lengths ((m)if none 0) ----------------

1 1.12 0.93 0.24 1.25 1.56 1.67 08 09 0

10 011 012 013 014 015 016 017 018 019 020 0

Pipe OD (m) 0.013716Pipe Wall Thickness (m) 0.0030226Surface Roughness (micrometers) 1.50E-06Input Fluid Temp (K) 533Guess of Output Fluid Temp (K) 527Mass Flow of the Fluid (kg/s) 0.315Velocity of Water (m/s) 8.64288246Velocity of Air (m/s) 13.4112Outside Temp (K) 266.4833

Intermediate OuputsType of Internal Flow TurbulantType of External Flow ForcedReynolds Number 502743.7422Relative Roughness 0.000195547Equivalent Length of Pipe (m) 6.5

Intermediate InputsFriction Factor from Moody Chart 0.023

OutputsTemp of Exiting Fluid (K) 527.8665111 equivalent C 254.7165Change in Temperature (delta T) 5.133488904% Error 0.164153451Pressure Loss (Pa or N/m^2) 1148149.638 equivalent PSI 166.5276

Assumptions: 304 Stainless Steel Pipe, Radiation is negligable, Internal Fluid is Water

Color Key:Inputs by UserOutputsChange Value to perform interationOutput Temp (Use to replace Guess Temp)

304 Stainless Steel Pipe, Radiation is negligable, Internal Fluid is Water

Inside Calculations Assumptions:Dynamic Viscosity at Surface equal to Ave Temp of Tm and Tin

GeneralEquivalent Length of Pipe (m) 6.5

Convective Coefficient for Inside Fluid

Reynolds Number

530 Type of FlowDensity 788.6435Dynamic Viscosity 0.000104 Laminar

Prandtl 0.85

Thermal conductivity k 0.608

4950 Friction factorLower Temperature Bounds 530Density 788.6435 Combined Entry LengthDynamic Viscosity 0.000104 Dynamic Viscosity SurfacePrandtl 0.85 Nusselt's NumberThermal conductivity k 0.608Specific Heat cp 4950 Thermal Entry LengthUpper Temperature Bound 540 Nusselt's NumberDensity 772.7975Dynamic Viscosity 0.000101 Fully Developed RegionPrandtl 0.86 Nusselt's NumberThermal conductivity k 0.594Specific Heat cp 5080 Temperature at Inner SurfaceInterpolation Calsulations (If Needed)Density 788.6435 Lower Temperature BoundsDynamic Viscosity 0.000104 Dynamic Viscosity SurfacePrandtl 0.85 Upper Temperature BoundsThermal conductivity k 0.608 Dynamic Viscosity SurfaceSpecific Heat cp 4950

Properties at Tm

Tm

xfd,h

xfd,t

Specific Heat cp

Dynamic Viscosity at Surface equal to Ave Temp of Tm and Tin

502743.7

Turbulant

Turbulant

192.8223 0.076708

163.899 Region Developing

0.000127 Friction Factor 0.023

Gnielinski Nusselts Number 1469.176370.00010414.81406

13.19165

3.66

531.5

5300.000104

5400.000101

xfd,h=fd,t

Fluid Heat Transfer Coefficient

Resultant Nusselt Number 1469.176

Heat Transfer Coefficient 116449.3

Outside Air Convection/Radiation CalculationsGeneralOutside Surface Temperature 398.99165Equivalent Length of Pipe (m) 6.5Volumetric Thermal Expansion Coeffiecient 0.003005372

Convective Coefficient for Outside FluidReynolds Number

Grashof Number

332.737475Kinematic Viscosity 1.918339E-05 Type of ConvectionPrandtl 0.702416754Thermal conductivity k 0.028722573 Free Convectionα (m^2/s) 2.734515E-05

Rayleigh NumberLower Temperature Bounds 300 Nusselts NumberKinematic Viscosity 0.00001589Prandtl 0.707Thermal conductivity k 0.0263 Combinedα (m^2/s) 0.0000225 Nusselts Number

Upper Temperature Bound 350Kinematic Viscosity 0.00002092Prandtl 0.7Thermal conductivity k 0.03α (m^2/s) 0.0000299

Interpolation Calsulations (If Needed)Kinematic Viscosity 1.918339E-05Prandtl 0.702416754Thermal conductivity k 0.028722573α (m^2/s) 2.734515E-05

Properties at Tf

Tf

9588.921423

27393.1676

Forced

Forced Convection

19241.41985 Nusselts Number 52.179375.115352401

RadiationEmissivity at 400K 0.22

52.18057833 Effective Convective Radiation Coeff 1.910985

Fluid Heat Transfer Coefficient

Resultant Nusselts Number 52.17937Heat Transfer Coefficient 109.2684

Net Convective Coefficient 111.1794

Final Calculations

Overall Convective Coefficient 193.6050085 Final Output Temperature

Perimeter 0.024098529

Steel PropertiesThermal conductivity k 17.6439332

Properties at T mean of surfaceT mean 465.245825

Lower Temperature Bounds 400Thermal conductivity k 16.6

Upper Temperature Bound 600Thermal conductivity k 19.8

Interpolation Calsulations (If Needed)Thermal conductivity k 17.6439332

527.8665

Water Properties

T (K)273.15 1000 0.001 4217 0.00175 0.00000175

275 1000 0.001 4211 0.001652 0.000001652280 1000 0.001 4198 0.001422 0.000001422285 1000 0.001 4189 0.001225 0.000001225290 999.001 0.001001 4184 0.00108 0.00000108108295 998.004 0.001002 4181 0.000959 0.000000960918300 997.009 0.001003 4179 0.000855 0.000000857565305 995.0249 0.001005 4178 0.000769 0.000000772845310 993.0487 0.001007 4178 0.000695 0.000000699865315 991.0803 0.001009 4179 0.000631 0.000000636679320 989.1197 0.001011 4180 0.000577 0.000000583347325 987.1668 0.001013 4182 0.000528 0.000000534864330 984.252 0.001016 4184 0.000489 0.000000496824335 982.3183 0.001018 4186 0.000453 0.000000461154340 979.4319 0.001021 4188 0.00042 0.00000042882345 976.5625 0.001024 4191 0.000389 0.000000398336350 973.7098 0.001027 4195 0.000365 0.000000374855355 970.8738 0.00103 4199 0.000343 0.00000035329360 967.118 0.001034 4203 0.000324 0.000000335016365 963.3911 0.001038 4209 0.000306 0.000000317628370 960.6148 0.001041 4214 0.000289 0.000000300849

373.15 957.8544 0.001044 4217 0.000279 0.000000291276375 956.9378 0.001045 4220 0.000274 0.00000028633380 953.2888 0.001049 4226 0.00026 0.00000027274385 949.6676 0.001053 4232 0.000248 0.000000261144390 945.1796 0.001058 4239 0.000237 0.000000250746400 937.2071 0.001067 4256 0.000217 0.000000231539410 928.5051 0.001077 4278 0.0002 0.0000002154420 919.1176 0.001088 4302 0.000185 0.00000020128430 909.9181 0.001099 4331 0.000173 0.000000190127440 900.9009 0.00111 4360 0.000162 0.00000017982450 890.472 0.001123 4400 0.000152 0.000000170696460 879.5075 0.001137 4440 0.000143 0.000000162591470 868.0556 0.001152 4480 0.000136 0.000000156672480 856.898 0.001167 4530 0.000129 0.000000150543490 844.5946 0.001184 4590 0.000124 0.000000146816500 831.2552 0.001203 4660 0.000118 0.000000141954510 818.3306 0.001222 4740 0.000113 0.000000138086520 803.8585 0.001244 4840 0.000108 0.000000134352530 788.6435 0.001268 4950 0.000104 0.000000131872540 772.7975 0.001294 5080 0.000101 0.000000130694550 755.8579 0.001323 5240 0.000097 0.000000128331560 738.0074 0.001355 5430 0.000094 0.00000012737570 718.3908 0.001392 5680 0.000091 0.000000126672580 697.8367 0.001433 6000 0.000088 0.000000126104

Density (kg/m^3)

Specific Volume (m^3/kg)

Specific Heat (J/kg*K)

Viscosity, dynamic (N*s/m^2)

Viscosity, kinimatic (m^2/s)

590 674.7638 0.001482 6410 0.000084 0.000000124488600 648.9293 0.001541 7000 0.000081 0.000000124821610 620.3474 0.001612 7850 0.000077 0.000000124124620 586.5103 0.001705 9350 0.000072 0.00000012276625 562.4297 0.001778 10600 0.00007 0.00000012446630 538.7931 0.001856 12600 0.000067 0.000000124352635 516.7959 0.001935 16400 0.000064 0.00000012384640 481.9277 0.002075 26000 0.000059 0.000000122425645 425.3509 0.002351 90000 0.000054 0.000000126954

647.3 315.4574 0.00317 infinity 0.000045 0.00000014265

Prandtle #0.569 12.990.574 12.220.582 10.26

0.59 8.810.598 7.560.606 6.620.613 5.83

0.62 5.20.628 4.620.634 4.16

0.64 3.770.645 3.42

0.65 3.150.656 2.88

0.66 2.660.668 2.450.668 2.290.671 2.140.674 2.020.677 1.910.679 1.8

0.68 1.760.681 1.70.683 1.610.685 1.530.686 1.470.688 1.340.688 1.240.688 1.160.685 1.090.682 1.040.678 0.990.673 0.950.667 0.92

0.66 0.890.651 0.870.642 0.860.631 0.850.621 0.840.608 0.850.594 0.86

0.58 0.870.563 0.90.548 0.940.528 0.99

Thermal conductivity (W/m*K)

0.513 1.050.497 1.140.467 1.30.444 1.52

0.43 1.650.412 20.392 2.70.367 4.20.331 120.238 infinity

Air Properties

T (K) α (m^2/s)100 0.000002 0.00934 0.786 0.00000254150 0.000004426 0.0138 0.758 0.00000584200 0.00000759 0.0181 0.737 0.0000103250 0.00001144 0.0223 0.72 0.0000159300 0.00001589 0.0263 0.707 0.0000225350 0.00002092 0.03 0.7 0.0000299400 0.00002641 0.0338 0.69 0.0000383450 0.00003239 0.0373 0.686 0.0000472500 0.00003879 0.0407 0.684 0.0000567550 0.00004557 0.0439 0.683 0.0000667600 0.00005269 0.0469 0.685 0.0000769650 0.00006021 0.0497 0.69 0.0000873700 0.0000681 0.0524 0.695 0.000098750 0.00007637 0.0549 0.702 0.000109800 0.00008493 0.0573 0.709 0.00012850 0.0000938 0.0596 0.716 0.000131900 0.0001029 0.062 0.72 0.000143950 0.0001122 0.0643 0.723 0.000155

1000 0.0001219 0.0667 0.726 0.0001681100 0.0001418 0.0715 0.728 0.0001951200 0.0001629 0.0763 0.728 0.0002241300 0.0001851 0.082 0.719 0.0002381400 0.000213 0.091 0.703 0.0003031500 0.00024 0.1 0.685 0.000351600 0.000268 0.106 0.688 0.000391700 0.000298 0.113 0.685 0.0004351800 0.000329 0.12 0.683 0.0004821900 0.000362 0.128 0.677 0.0005342000 0.000396 0.137 0.672 0.0005892100 0.000431 0.147 0.667 0.0006462200 0.000468 0.16 0.655 0.0007142300 0.000506 0.175 0.647 0.0007832400 0.000547 0.196 0.63 0.0008692500 0.000589 0.222 0.613 0.000963000 0.000841 0.486 0.536 0.00157

Viscosity, kinimatic (m^2/s)

Thermal conductivity (W/m*K)

Prandtle #

304 Stainless Steel Properties

T (K)100 9.2200 12.6300 14.9400 16.6600 19.8800 22.6

1000 25.41200 281500 31.7

Thermal conductivity (W/m*K)

Oil Properties

T (K)273 899.1 0.00111222 1796 3.85 0.00428 0.147 47000280 895.3 0.00111694 1827 2.17 0.00243 0.144 27500290 890 0.0011236 1868 0.999 0.00112 0.145 12900300 884.1 0.00113109 1909 0.486 0.00055 0.145 6400310 877.9 0.00113908 1951 0.253 0.000288 0.145 3400320 871.8 0.00114705 1993 0.141 0.000161 0.143 1965330 865.8 0.001155 2035 0.0836 0.0000966 0.141 1205340 859.9 0.00116293 2076 0.0531 0.0000617 0.139 793350 853.9 0.0011711 2118 0.0356 0.0000417 0.138 546360 847.8 0.00117952 2161 0.0252 0.0000297 0.138 395370 841.8 0.00118793 2206 0.0186 0.000022 0.137 300380 836 0.00119617 2250 0.0141 0.0000169 0.136 233390 830.6 0.00120395 2294 0.011 0.0000133 0.135 187400 825.1 0.00121197 2337 0.00874 0.0000106 0.134 152410 818.9 0.00122115 2381 0.00698 0.00000852 0.133 125420 812.1 0.00123138 2427 0.00564 0.00000694 0.133 103430 806.5 0.00123993 2471 0.0047 0.00000583 0.132 88

Density (kg/m^3)

Specific Volume (m^3/kg)

Specific Heat (J/kg*K)

Viscosity, dynamic (N*s/m^2)

Viscosity, kinimatic (m^2/s)

Thermal conductivity (W/m*K)

Prandtle #