Q3/ A 6(m) long 2(kW) electrical resistance wire is made of 0.2(cm) diameter stainless steel (k = 15.1 W/m °C). The resistance wire operates in an environment at 30°C with a heat transfer coefficient of 140 (W/m?. °C) at the outer surface. Find the temperature distribution equation and determine the surface temperature of the wire.
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- 2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from one side of an electronic device 1 m wide and 1 m tall. The fins are to be rectangular in cross section, 2.5 cm long and 0.25 cm thick, as shown in the figure. There are to be 100 fins per meter. The convection heat transfer coefficient, both for the wall and the fins, is estimated to be K. With this information determine the percent increase in the rate of heat transfer of the finned wall compared to the bare wall.An electronic device that internally generates 600 mW of heat has a maximum permissible operating temperature of 70C. It is to be cooled in 25C air by attaching aluminum fins with a total surface area of 12cm2. The convection heat transfer coefficient between the fins and the air is 20W/m2K. Estimate the operating temperature when the fins are attached in such a way that (a) there is a contact resistance of approximately 50 K/W between the surface of the device and the fin array and (b) there is no contact resistance (in this case, the construction of the device is more expensive). Comment on the design options.3.16 A large, 2.54-cm.-thick copper plate is placed between two air streams. The heat transfer coefficient on one side is and on the other side is . If the temperature of both streams is suddenly changed from 38°C to 93°C, determine how long it takes for the copper plate to reach a temperature of 82°C.
- The handle of a ladle used for pouring molten lead is 30 cm long. Originally the handle was made of 1.9cm1.25cm mild steel bar stock. To reduce the grip temperature, it is proposed to form the handle of tubing 0.15 cm thick to the same rectangular shape. If the average heat transfer coefficient over the handle surface is 14 W/m K, estimate the reduction of the temperature at the grip in air at 21C.Q3/ A 6(m) long 2(kW) electrical resistance wire is made of 0.2(cm) diameter stainless steel (k = 15.1 W/m °C). The resistance wire operates in an environment at 30°C with a heat transfer coefficient of 140 (W/m2. °C) at the outer surface. Find the temperature distribution equation and determine the surface temperature of the wire.Consider a large plane wali of thickness L03 m thermal conductivity k25 /m K, end surfece aree A 12 m The left side of the well ot x=O is subjected to a net heat flux of go760 W/m while the temperature at that surfece is measured to be T 80°C Assuming constant thermal conductivity and no heat generation in the wall, ovaluate the temperature of the right surface of the wall at xEL The temperature of the right surfaoe of the wall at x Lis
- Convection - Heat Transfer Coefficient (HTC) (1) The temperature of inner surface of insulation wall is t,=100°C, while the outer surface releases the heat by convection to surroundings air with temperature of -20°C. The thickness of the insulating layer is 5 cm and its thermal conductivity of 0,05 W/(m-K). What is the value of heat transfer coefficient on the outside this wall if its surface temperature t, is of 0°C.Consider a pipe with inner diameter of 0.5 m, wall thickness of 8 mm and thermal conductivity of 60 W/m-K. The pipe is used for transporting nanocoolant at an average temperature of 70 °C and submerged in cool water at temperature of 5 °C. The average convection heat transfer coefficient on the inner and outer of the pipe surfaces are estimated to be 250 W/m²-K and 150 W/m²-K, respectively. a) Derive the temperature distribution equation for the pipe wall. b) Evaluate the inner surface temperature of the pipe. c) Derive the mathematical expression for the rate of heat loss from the nanocoolant in the pipe. d) Evaluate the heat flux through the outer surface of the pipe.(1) The temperature of inner surface of insulation wall is t,=100°C, while the outer surface releases the heat by convection to surroundings air with temperature of -20°C. The thickness of the insulating layer is 5 cm and its thermal conductivity of 0,05 W/(m-K). What is the value of heat transfer coefficient on the outside this wall if its surface temperature t, is of 0°C.
- (Q3) sk) - A 5mx7m wall consists of 3 glass windows of 1.5mx1.5m dimensions. The wall has thickness of 0.125 m and a thermal conductivity of 0.5 W/m.K. while the glass windows are 6 mm thick with a thermal conductivity of 1:24 W/mK. The values of internal and external surface conductance for the wall (including glass) are 8.1W/m2 K and 34.2 W/m² K, respectively. The internal and external temperatures are 20°C and -30°C, respectively. Calculate the total heat transfer rate through the wall. What percentage of this heat transfer is through the windows? R# 3 E F3 (1) 54 R A. = 1m² F4 Too,1 = 1 K _h₁ = 1 W/m²K F WELL WIFE (5) Consider a wall (as shown above) of thickness L=1 m and thermal conductivity k-1 W/m-K. The left (x=0) and the right (x=1 m) surfaces of the wall are subject to convection with a convectional heat transfer coefficient h = 1 W/m²K and an ambient temperature T.- 1 K. Heat generation inside the wall is q=1W/m³. You may assume 1-D heat transfer, steady state condition, and neglect any thermal contact resistance. Find T(x). DII % 5 Q Search F5 T T₁ x=0 ☀ A 6 q=1 W/m³ k= 1W/mK F6 L=1m Y F7 T₂ & 7 x= 1 m Too,2 = 1 K h₂ = 1 W/m²K U PrtScn F8 * 8 Home 1 F9 End F10yo lo:ll O %AV L. مرتضی نشط الآن Q5: The piston cylinder device (radius=10 cm) contains a liquid with a pressure 100 kpa and temperature of 20 ° C and has a liquid convection heat coefficient =93 WmK. Connect its fixed side to a cubic piece of aluminum (side length 15 cm) with a thermal conductivity coefficient of aluminum = 239 W mK. At the bottom of the aluminum piece there is a heat source with a temperature of 150 ° C, noting that the heat source is located in a vacuum chamber. Radiation thermal resistance = 3.17 K/W. Calculate the change in piston height during I sec. if you know that there is no change in the internal energy of the piston cylinder device. Note IK Watt 1KJ/s : Aa