10-What is the maximum temperature is aplane wall 8 cm thic which that is generated uniformally at the rate 1000 W/m3 >>If one is maintained at 20 C and the other side at 100 C ..Kw=1.5 W/mC.
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- 1.10 A heat flux meter at the outer (cold) wall of a concrete building indicates that the heat loss through a wall of 10-cm thickness is . If a thermocouple at the inner surface of the wall indicates a temperature of 22°C while another at the outer surface shows 6°C, calculate the thermal conductivity of the concrete and compare your result with the value in Appendix 2, Table 11.Sipho’s mother is making a fire in the stove inside a shack using coal. A fan is used to extract the flue gasfrom the fire via a chimney made of zinc material. The wall thickness of Chimney is L=4mm and the walltemperature of the chimney on the flue gas side is T_si=60˚C. Sipho, playing outside next to the chimneyexperiences an ambient temperature of 20˚C. The surrounding temperature is T_sur=35˚C and the emissivityis ε=0.95. Assume the convection coefficient is 20W/m2K and the chimney is grey material.Under these conditions determine the outer surface (air side) temperature T_so=? of the chimney.3- A large plane wall has a thickness L=50 cm and thermal conductivity k=25 W/m.K. On the left surface (x=0), it is subjected to a uniform heat flux go, while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL = 225°C and surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m²K, respectively. (a) Derive the temperature distribution equation for the wall parametrically (based on x, T₁, qo, L, and k). Plane wall Tsurr = 25°C T% = 25°C k = 25 W/m.K h = 15 W/m²K 90 ε = 0.7 T₁ = 225°C (b) Determine the temperature of the left surface of the wall at x=0? L x
- Q: A large plane wall of thickness (L= 0.3 m), thermal conductivity (k = 40 W/m-°C), and surface area 0.4 m2. The left side of the wall is maintained at a constant temperature of 70°C while the right side loses heat to the surrounding air with heat flux q' expressed by: 1200k q = k+20L A- Find a relation to determine the variation of temperature in the wall. B- Determine the rate of heat transfer through the wall. C- Determine the temperature at the right side of the wall. wall T1= 70 °C L= 0.3mQ: Consider the section of wall as shown in the figure, assuming one dimensional heat flow, determine the following: I- Rate of heat transfer per unit area (1m³) through the composite wall. II- Determine also the temperature (Tp) as shown in the figure. To01 = 30 °C %3D Too2 = 2 °C hi = 20 w/m?.°C 8 cm h2 = 12 w/m2.°C 20 cm A F %3D kA = 0.6 W/m .°C D TD %3D 30 cm kB = 0.8 W/m .°C %3D Too1 T02 kC = 0.9 W/m .°C hi в | Е h2 10 cm kD = 0.7 W/m .°C kE = 0.5 W/m .°C kF = 0.04 W/m .°C 8 cm 6cm 12cm Good LuckQ3/ A stainless steel alloy has cylindrical shape (k = 25 W/m.°C), diameter is 10 cm and 25 cm long, taken to furnace. The initial temperature is 90 °C, the furnace temperature is 1260 °C and the heat transfer coefficient is h = 100 W/m2.'C. Determine the time required for a stainless steel alloy to reach 830 °C. Take thermal diffusivity (k/pc= 0.45 × 10-5 m²/s).
- a. The wall of a building has a surface area of 50 m2. The outside layer of the wall is 20 cm thick concrete with thermal conductivity kcon = .8 W/m-K. The inner layer is 10 cm thick balsa wood (kbalsa = .048 W/m-K) as an insulator. Outside temperatures of 47o C are expected, while an inside temperature of 21o C is maintained by the cooling system. Find the rate of heat transfer through the wall.The wall of a furnace comprises three layers as shown in the figuie. The first layer is tery (whose maximum allowable temperature is 1400°C) while the second laver is Tracto:y Chose maximum allowable temperature is 1093°C). The third layer is a plate of 6 35 od thermal contact. Steet plare To 6.35x3 45A 1370 C Concerntiation veluciy 37.8 C mass Siynes Figure. Layers in a composite furnace wall. e temperature To on the inside of the refractory is 1370°C, while the temperature T; on the side of the steel plate is 37.8° The heat loss through the furnace HnIlisexpectet tobeHeat transfer A nuclear reactor can be modelled as the plane wall shown in figure below. The thermal conductivity of the wall is 12 W/m.K. Heat is generated in the plane wall with the rate of 106644 W/m3. Left side of the wall is insulated, and the right side is cooled by air at 90°C. The convection heat transfer coefficient is 0.5 kW/m2.K. What is the maximum temperature in the wall (oC)?
- How much heat is conducted through a sheet of plate glass, k=0.0024 cal/cm2-sec-°C/cm, which is 2.0 meters by 3.0 meters and 5 mm thick, when the temperatures of the surfaces are 20 and -10°C? COMPLETE FBD SOLUTION AND REQUIREMENTS PS. THIS IS A HEAT TRANSFER PROBLEM= Consider a large plane wall of thickness L=0.3 m, thermal conductivity k = 2.5 W/m.K, and surface area A = 12 m². The left side of the wall at x=0 is subjected to a net heat flux of ɖo = 700 W/m² while the temperature at that surface is measured to be T₁ = 80°C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differential equation and the boundary equations for steady one- dimensional heat conduction through the wall, (b) obtain a relation for the variation of the temperature in the wall by solving the differential equation, and (c) evaluate the temperature of the right surface of the wall at x=L. Ti до L XQ1/ Consider a large plane wall of thickness L=0.03 m. The wall surface at x =0 is insulated, while the surface at x =L is maintained at a temperature of 30°C. The thermal conductivity of the wall is k=25 W/m °C, and heat is generated in the wall at a rate of g = 9oe0.5x/L W/m³ Where g, = 8 x 10 W /m². Assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the wall, (b) obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c) determine the temperature of the insulated surface of the wall.