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A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.

A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.28P
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A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C. (Just write the numerical answer. Include - if the answer is negative. No need to put the unit.) Properties of saturated water Volume Specific Нeat Thermal Prandti Enthalpy Density P. kg/m Expansion Coefficient B, 1/K Liquid Conductivity k, W/m - K Dynamic Viscosity Number Saturation of G, J/kg K H. kg/m - s Pr Temp. T. °C Pressure Vaporization Pat, kPa Liquid Vapor hig, kJ/kg Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 2501 2490 2478 0.561 0.571 0.580 1.792 x 10-3 1.519 x 10-3 1.307 x 10-3 1.138 x 10-3 1.002 x 10-3 0.922 x 10-5 0.934 x 10-5 0.946 x 10-5 0.959 x 10-5 0.973 x 10-5 0.6113 1854 0.0171 0.0173 999.8 0.0048 -0.068 x 10 3 4217 4205 13.5 11.2 0.01 1.00 0.0068 0.0094 0.0128 0.0173 0.015 x 10 3 0.733 x 10 3 0.138 x 10 3 0.195 x 10-3 0.8721 1.2276 999.7 999.9 1857 1.00 10 4194 1862 0.0176 9.45 1.00 1863 1867 0.589 0.598 15 1.7051 0.0179 999.1 998.0 4186 4182 8.09 7.01 2466 1.00 20 2.339 2454 0.0182 1.00 0.987 x 10-5 1.001 x 10-5 1.016 x 10-5 1.031 x 10-5 1.046 x 10 5 0.607 0.615 0.891 x 10-3 0.798 x 10-3 0.720 x 10 3 0.653 x 10-3 0.596 x 10-3 997.0 996.0 1870 1875 0.247 x 10-3 0.294 x 10-3 0.337 x 10 3 0.377 x 10-3 0.415 x 103 25 30 3.169 0.0231 2442 2431 4180 0.0186 0.0189 6.14 5.42 1.00 1.00 4.246 0.0304 4178 5.628 7.384 9.593 0.623 0.631 0.0192 0.0196 35 994.0 0.0397 0.0512 2419 2407 2395 4178 1880 4.83 1.00 40 992.1 4179 1885 1.00 4.32 3.91 45 990.1 0.0655 4180 1892 0.637 0.0200 1.00 0.547 x 10-3 0.504 x 10-3 0.467 x 10-3 0.433 x 10-3 0.404 x 10-3 1.062 x 10-5 1.077 x 10-5 1.093 x 10-5 1.110 x 10-5 1.126 x 10-5 1.00 0.451 x 10 3 0.484 x 10 3 0.517 x 10 3 0.548 x 10 3 0.578 x 10 3 50 12.35 988.1 0.0831 2383 4181 1900 0.644 0.0204 3.55 1908 1916 15.76 19.94 25.03 31.19 2371 2359 0.649 1.00 1.00 1.00 1.00 55 985.2 0.1045 4183 4185 0.0208 3.25 0.1304 0.1614 0.654 0.659 0.663 60 0.0212 983.3 980.4 2.99 4187 4190 2346 1926 1936 65 0.0216 2.75 70 977.5 0.1983 2334 0.0221 2.55 0.378 x 10-3 0.355 x 10-3 0.333 x 10-3 1.142 x 10- 1.159 x 10-5 1.176 x 10-5 1.193 x 10-5 1.210 x 10-5 0.607 x 10-3 0.653 x 10-3 0.670 x 10-3 0.702 x 10-3 0.716 x 10-3 4193 38.58 47.39 57.83 70.14 0.667 0.670 0.673 1.00 1.00 1.00 0.2421 0.2935 75 974.7 2321 2309 2296 1948 0.0225 0.0230 2.38 971.8 968.1 965.3 80 4197 1962 2.22 2.08 85 0.3536 4201 1977 0.0235 0.315 x 10-3 0.297 x 10-3 90 0.4235 2283 4206 1993 0.675 0.0240 1.96 1.00 95 84.55 961.5 0.5045 2270 4212 2010 0.677 0.0246 1.85 1.00
Transcribed Image Text:A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C. (Just write the numerical answer. Include - if the answer is negative. No need to put the unit.) Properties of saturated water Volume Specific Нeat Thermal Prandti Enthalpy Density P. kg/m Expansion Coefficient B, 1/K Liquid Conductivity k, W/m - K Dynamic Viscosity Number Saturation of G, J/kg K H. kg/m - s Pr Temp. T. °C Pressure Vaporization Pat, kPa Liquid Vapor hig, kJ/kg Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 2501 2490 2478 0.561 0.571 0.580 1.792 x 10-3 1.519 x 10-3 1.307 x 10-3 1.138 x 10-3 1.002 x 10-3 0.922 x 10-5 0.934 x 10-5 0.946 x 10-5 0.959 x 10-5 0.973 x 10-5 0.6113 1854 0.0171 0.0173 999.8 0.0048 -0.068 x 10 3 4217 4205 13.5 11.2 0.01 1.00 0.0068 0.0094 0.0128 0.0173 0.015 x 10 3 0.733 x 10 3 0.138 x 10 3 0.195 x 10-3 0.8721 1.2276 999.7 999.9 1857 1.00 10 4194 1862 0.0176 9.45 1.00 1863 1867 0.589 0.598 15 1.7051 0.0179 999.1 998.0 4186 4182 8.09 7.01 2466 1.00 20 2.339 2454 0.0182 1.00 0.987 x 10-5 1.001 x 10-5 1.016 x 10-5 1.031 x 10-5 1.046 x 10 5 0.607 0.615 0.891 x 10-3 0.798 x 10-3 0.720 x 10 3 0.653 x 10-3 0.596 x 10-3 997.0 996.0 1870 1875 0.247 x 10-3 0.294 x 10-3 0.337 x 10 3 0.377 x 10-3 0.415 x 103 25 30 3.169 0.0231 2442 2431 4180 0.0186 0.0189 6.14 5.42 1.00 1.00 4.246 0.0304 4178 5.628 7.384 9.593 0.623 0.631 0.0192 0.0196 35 994.0 0.0397 0.0512 2419 2407 2395 4178 1880 4.83 1.00 40 992.1 4179 1885 1.00 4.32 3.91 45 990.1 0.0655 4180 1892 0.637 0.0200 1.00 0.547 x 10-3 0.504 x 10-3 0.467 x 10-3 0.433 x 10-3 0.404 x 10-3 1.062 x 10-5 1.077 x 10-5 1.093 x 10-5 1.110 x 10-5 1.126 x 10-5 1.00 0.451 x 10 3 0.484 x 10 3 0.517 x 10 3 0.548 x 10 3 0.578 x 10 3 50 12.35 988.1 0.0831 2383 4181 1900 0.644 0.0204 3.55 1908 1916 15.76 19.94 25.03 31.19 2371 2359 0.649 1.00 1.00 1.00 1.00 55 985.2 0.1045 4183 4185 0.0208 3.25 0.1304 0.1614 0.654 0.659 0.663 60 0.0212 983.3 980.4 2.99 4187 4190 2346 1926 1936 65 0.0216 2.75 70 977.5 0.1983 2334 0.0221 2.55 0.378 x 10-3 0.355 x 10-3 0.333 x 10-3 1.142 x 10- 1.159 x 10-5 1.176 x 10-5 1.193 x 10-5 1.210 x 10-5 0.607 x 10-3 0.653 x 10-3 0.670 x 10-3 0.702 x 10-3 0.716 x 10-3 4193 38.58 47.39 57.83 70.14 0.667 0.670 0.673 1.00 1.00 1.00 0.2421 0.2935 75 974.7 2321 2309 2296 1948 0.0225 0.0230 2.38 971.8 968.1 965.3 80 4197 1962 2.22 2.08 85 0.3536 4201 1977 0.0235 0.315 x 10-3 0.297 x 10-3 90 0.4235 2283 4206 1993 0.675 0.0240 1.96 1.00 95 84.55 961.5 0.5045 2270 4212 2010 0.677 0.0246 1.85 1.00
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