A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at 200 °C. Conductivity k=133 W/m/K. The rod is in an air environment with Too = 20 °C and h = 30 W/m²/K. What is the temperature of the rod 25, 50, and 100 mm from the casting?
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- The inside surface temperature of a glass oven door (0.5 m x 0.5 m x 0.001 m) is 180°C, the outside surface temperature is 25°C, and the thermal conductivity of glass is 1.4 W/(m•K) What is the rate of heat transfer?A 10 cm outer diameter pipe carrying saturated steam at a temperature of 195C is lagged to 20 cm diameter with magnesia and further lagged with laminated asbestos to 25 cm diameter. The entire pipe is further protected by a layer of canvas. If the temperature under the canvas is 20°C, find the mass of steam condensed in 8 hrs on a 100m length of pipe and interface temperature. Take thermal conductivity of magnesia as 0.07 W/m – K and that of asbestos as 0.082 W/m – k. Neglect the thermal conductivity of the pipe material. The latent heat of steam for given conditions can be taken as 1951 kJ/kg–K.3.130 A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with T = 20°C and h = 30 W/m²K. What is the temperature of the rod 25, 50, and 100 mm from the casting? 8
- A long wire of diameter D = 2 mm is submerged in an oil bath of temperature T∞ = 23°C. The wire has an electrical resistance per unit length of Re′=0.01 Ω/m. If a current of I = 180 A flows through the wire and the convection coefficient is h = 529 W/m2 · K, what is the steady-state temperature of the wire? From the time the current is applied, how long does it take for the wire to reach a temperature that is within 2°C of the steady-state value? The properties of the wire are ρ = 2,334 kg/m3, c = 537 J/kg · K, and k = 43 W/m · K.A 0.1 m diameter long rod at 20 °C is to be heated by a hot fluid of 200 °C. How long does it take the rod temperature to reach 70% of the fluid temperature if the followings are given? Convection coefficient h = 10 W/m2K Thermal conductivity k = 20 W/mK Thermal diffusivity a = 10-5 m2/sA food product with 80% moisture content in a 7 cm diameter can wants to be frozen. product density is 1000 kg / m³ thermal conductivity is 1.0 W / (m K) and initial freezing temperature is -2.25 degrees Celsius after 8 hours in freezing medium -35 degrees Celsius Temperature to -10 degrees Celsius estimate convection heat transfer coefficient freezing medium assume the can as an infinite cylinder h =
- 2) Urethane (k = 0.026 W/m-K) is used to insulate the sidewall and the top and bottom of a cylindrical hot water tank. The insulation is 40 mm thick and is sandwiched between sheet metal of thin-wall construction. The height and inside diameter of the tank are 2 m and 0.8 m, respectively. The tank is in ambient air with T = 10 °C and h = 10 W/m²-K. If the hot water maintains the inner surface at 55 °C, and energy costs amount to $0.15 per kWh, what is the daily cost to maintain the water in storage? Argue that the thermal resistance of the tank wall is negligible. What does this say about the temperature drop across the tank wall?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 Heat Jkg - K Thermal Conductivity k, Wim- K Prandti Enthalpy Dynamic Viscosity H. kg/m -s Expansion Coefficient Number Density P. kgim Saturation of Pr Temp. T, "C B. 1/K Liquid Pressure Vaporization P, kPa Liquid Vapor hg, k/kg Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 0.0171 1.792 x 103 0.0173 0.922 x 105 13.5 0.934 x 10-5 1.00 -0.068 x 10 3 1.00 1.00 0.01 0.6113 999.8 0.8721 0.0048 0.0068 2501 2490 2478 4217 4205 1854 0.561 0.571 1.519 x 10-3 1.307 x 10-3 0.946 x 10-5 1.138 x 10 3 0.959 x 10-5 1.002 x 10 3 0.973 x 105 999.9 1857 11.2 0.015…What is the rate of heat transfer through a piece of Celotex 3 ft by 8 ft by 1 in. in thickness, if the temp of one surface is 80°F and of the other side is 60°F? thermal conductivity of Celotex in AES = 0.028. Pls determine the temperature gradient and the direction of the heat transfer as well.
- Q3/ A 10-cm length of platinum wire 0.5 mm in diameter is placed horizontally in a container of air at 35 C and is electrically heated so that the surface temperature is maintained at 93•C. Calculate the surface temperature for heat lost by the wire 30W.QUESTION 2 hot steam pipe (k =16 W/m K) has an inside and outside diameter of 80 mm and 190 mm. If the temperature of the steam is 523 K with h 3000 W/m² K and the outside temperature of the pipe is 353 K. If the pipe is 2 m long compelete the following the thermal resistance of heat transfer by convection is = the conductive heat resistance is the heat transfer per unit length isA:Find the amount of heat transferred through an iron fin of thickness 5 mm, length 10 cm and width 100 cm. Also determine the temperature difference e at the tip of the fin at: 1- adiabatic tip, 2-heat convection at the tip. Assuming the atmospheric temperature of 28°C K=50 w/mK, h=10 w/m’K, O,=80°C. B-Why is the dimensional heat flow assumption important in the analysis of fins problems? C- Why are the annular fins more efficiency than others?.