1-A wall 1 ft thick and infinite in other direction has an initial uniform temperature (T;) of 100°F.The surface temperature (Ts) at the two sides are suddenly increased and maintened at 300°F. Thewall is composed of nickel steel with a diffusivity of a 0.1 ft²/h. Compute the temperature=distribution within the wall as a function of time. Two sets of step sizes are to be used1- Ax =0.05, At = 0.012- Ax =0.05, At = 0.0X=OX=L

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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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.24P

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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 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…
3-Consider a fluid with temperature of T and a constant velocity of u。 traveling from left from left to right in a channel. The temprature at the end of the channel is suddenly changed to ™ and is maintained at that constant value. It is required to compute the steady state temperature distribution within the channel. The governing equation is given by ат u. = α It a²T 8x2 Obtain the numerical solution for the following set of data: Tc=20°C, T=100°C, u。=0.2 m/s, α = 0.04 m²/s, L=2m.
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Find the thermal resistance r (in hr - °F/BTU) and the equivalent R-value (in hr ft?. °F/BTU) of a typical frame 20' x 7.5" wall consisting of a 0.5" plaster board on the inside of the room, nominai 2 x 4 studs, and a 0.5" sheathing on the outside. The spaces between the studs are filled with an R-15 insulating foam. What is the heat loss (in BTU) through this wall in four hours if the inside temperature is 72°F and the outside temperature is 32°F? (Assume that the 15% of the wall's area are studs and the remaining 85% is filled with the insulating foam. Assume that the air is moving outside the wall.) r= 0.0805 x hr: OF/BTU R=0.09 x hr ft2. F/BTU AQ = BTU
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