Two nested spherical tanks with the internal and outerdiameters of the 100 cm by 104 cm and 114 cm by 118 cm isused to store hot water at 100 C. Both tanks are made of boronfiber epoxy with different composite compositions. Thethermal conductivity of the inner tank is 1.5 W/m K while theouter tank has a thermal conductivity of 0.5 W/m K. The gapbetween the tanks is filled with air (use properties of air at50°C). The tank is located in an open environment at 0'C. Theouter surface of the tank is white painted and heat transferbetween the outer surface of the tank and the surrounding isby natural covection and radiation. The convection heattransfer coefficient at the inner and the outer surface of thepipe is h 20 W/m' K and h 10 W/m K. Determine;a. the rate of heat loss from the tankb. the inside, outside and intermediate surface temperatures.Hint: Take the outer surface temperature as 3°C for radiationcalculations. TABLE A-15Properties of air at 1 atm pressureDynamicViscosityµ, kg/m-sKinematicPrandtlSpecificHeatThermalThermalTemp.T, °CConductivityk, W/m-KDensityDiffusivityViscosityv, m?/sNumberP, kg/m³Cp, J/kg-Ka, m?/sPr-150-1008.636 x 10-61.189 x 10-52.8669830.011714.158 x 10-63.013 x 10-60.72468.036 x 10-61.252 x 10-51.356 x 10-51.465 x 10-51.578 x 10-51.696 x 10-52.0389660.015825.837 x 10-60.72630.019790.02057-501.5829991.474 x 10-59.319 x 10-60.74401.527 x 10-51.579 x 10-51.630 x 10-51.680 x 10-51.729 x 10-51.754 x 10-51.778 x 10-51.802 x 10-51.825 x 10-51.849 x 10-51.872 x 10-5-40-301.5141.451100210041.008 x 10-51.087 x 10-50.74360.74250.74080.021340.022110.02288-201.39410051.169 x 10-5-101.34110061.252 x 10-50.73871.29210060.023641.818 x 10-51.338 x 10-50.73621.880 x 10-51.944 x 10-52.009 x 10-52.074 x 10-52.141 x 10-52.208 x 10-51.26910060.024011.382 x 10-50.73501.2461.2251010060.024391.426 x 10-50.73361510070.024761.470 x 10-50.73231007100710071.516 x 10-51.562 x 10-51.608 x 10-51.655 x 10-5201.2040.025140.7309251.1840.025510.7296301.1640.025880.7282351.14510070.026252.277 x 10-51.895 x 10-50.72682.346 x 10-52.416 x 10-52.487 x 10-52.632 x 10-52.780 x 10-52.931 x 10-51.702 x 10-51.750 x 10-51.798 x 10-5401.12710070.026621.918 x 10-50.72551.1090.026991.941 x 10-51.963 x 10-545100710070.7241501.0920.027350.72280.028080.028812.008 x 10-52.052 x 10-52.096 x 10-51.896 x 10-51.995 x 10-52.097 x 10-52.201 x 10-5601.05910070.72021.0280.99947010070.71770.029530.71540.713280100810083.086 x 10-53.243 x 10-53.565 x 10-52.139 x 10-52.181 x 10-52.264 x 10-52.345 x 10-5900.97180.030241000.945810090.030952.306 x 10-50.71111200.70730.70410.897710110.032352.522 x 10-50.85420.81482.745 x 10-52.975 x 10-514010130.033743.898 x 10-54.241 x 10-54.593 x 10-54.954 x 10-55.890 x 10-56.871 x 10-57.892 x 10-52.420 x 10-52.504 x 10-52.577 x 10-52.760 x 10-52.934 x 10-516010160.035110.70141800.7788101910230.036463.212 x 10-50.69922000.74590.037793.455 x 10-50.69740.674625030010330.041044.091 x 10-50.69464.765 x 10-55.475 x 10-50.615810440.044180.69353.101 x 10-53.261 x 10-53.415 x 10-53.563 x 10-53.846 x 10-53500.566410560.047210.69376.219 x 10-56.997 x 10-57.806 x 10-59.515 x 10-58.951 x 10-51.004 x 10-41.117 x 10-41.352 x 10-41.598 x 10-41.855 x 10-42.122 x 10-42.398 x 10-43.908 x 10-45.664 x 10-40.69480.69654000.524310690.050154500.488010810.052985000.456510930.055720.69866000.404211150.060930.70374.111 x 10-54.362 x 10-57000.362711350.065811.133 x 10-40.70921.326 x 10-41.529 x 10-48000.328911530.070370.71499000.300811690.074654.600 x 10-50.7206100015004.826 x 10-55.817 x 10-56.630 x 10-50.277211840.078681.741 x 10-40.72600.095992.922 x 10-44.270 x 10-40.199012340.747820000.155312640.111130.7539Note: For ideal gases, the properties C, k, µ, and Pr are independent of pressure. The properties p, v, and a at a pressure P (in atm) other than 1 atm are determinedby multiplying the values of p at the given temperature by Pand by dividing v and a by P.

Heat transfer through composite sphere Lets, Q = Heat transfer rate th = Temperature of hot fluid…

Two nested spherical tanks with the internal and outer diameters of the 100 cm by 104 cm and 114 cm by 118 cm is used to store hot water at 100°C. Both tanks are made of boron fiber epoxy with different composite compositions. The thermal conductivity of the inner tank is 1.5 W/m K while the outer tank has a thermal conductivity of 0.5 W/m K. The gap between the tanks is filled with air (use properties of air at 50°C). The tank is located in an open environment at 0'C. The outer surface of the tank is white painted and heat transfer between the outer surface of the tank and the surrounding is by natural covection and radiation. The convection heat transfer coefficient at the inner and the outer surface of the pipe is h= 20 W/m' K and h,= 10 W/m K. Determine ; a. the rate of heat loss from the tank b. the inside, outside and intermediate surface temperatures. Hint: Take the outer surface temperature as 3°C for radiation calculations.

Two nested spherical tanks with the internal and outer diameters of the 100 cm by 104 cm and 114 cm by 118 cm is used to store hot water at 100°C. Both tanks are made of boron fiber epoxy with different composite compositions. The thermal conductivity of the inner tank is 1.5 W/m K while the outer tank has a thermal conductivity of 0.5 W/m K. The gap between the tanks is filled with air (use properties of air at 50°C). The tank is located in an open environment at 0'C. The outer surface of the tank is white painted and heat transfer between the outer surface of the tank and the surrounding is by natural covection and radiation. The convection heat transfer coefficient at the inner and the outer surface of the pipe is h= 20 W/m' K and h,= 10 W/m K. Determine ; a. the rate of heat loss from the tank b. the inside, outside and intermediate surface temperatures. Hint: Take the outer surface temperature as 3°C for radiation calculations.

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.

Chapter9: Heat Transfer With Phase Change

Section: Chapter Questions

Problem 9.37P

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