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Get Customized Solutions for The Following Questions: Consider a 1.2-m-high and 2-m-wide glass window whose thickness is 6 mm and thermal conductivity is k = 0.78 W/m·°C. Determine the steady rate of heat transfer through this glass window and the temperature of its inner surface for a day during which the room is maintained at 24°C while the temperature of the outdoors is −5°C. Take the convection heat transfe r coefficients on the inner and outer surfaces of the window to be h1 = 10 W/m2 ·°C and h2 = 25 W/ m2 ·°C, and disregard any heat transfer by radiation.

Consider a large plane wall of thickness L = 1m, thermal conductivity k = 5 W/m·K, and surface area A = 10 m2 . The left side of the wall at x = 0 is subjected to a heat flux per unit area of 𝑞𝑞𝑞𝑞 = 500W/m ̇ 2 while the temperature at the surface is measured to be T1=100 °C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary condition for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) evaluate the temperature of the right surface of the wall at x = L.

Let us consider the large plane wall considered in Problem 2. Now, the left side of the wall at x = 0 is thermally insulated. The rest of the conditions didn’t change. Evaluate the temperature of the right surface of the wall at x = L.

A pipe in a district heating network is transporting over-pressurized hot water (10 atm) at a mass flow of 0.5 kg/s. The pipe is 5 m long, has an inner radius of 50 cm and pipe wall thickness of 50 mm. The pipe has a thermal conductivity of 20 W/m-K, and the inner pipe surface is at a uniform temperature of 110 ºC. The convection heat transfer coefficient of the air surrounding the pipe is 100W/m2 -K. The temperature of the water at inlet of pipe is 130 ºC and the constant pressure specific heat of hot water is 4000 J/kg-ºC. If the temperature of the air surrounding the pipe is 20 ºC, determine the exit temperature of the water at the end of the pipe.