Prove that the 1-D heat conduction equation ƏT Ət a əx? is a parabolic equation.
Q: Consider a solid sphere of radius r=50 cm. The heat is generated steadily inside the sphere at a…
A: Given Data r=50 qg=1500 wm3 K=10 wm.K T∞=10oC h=125 Wm2K The temperature of the center of sphere,…
Q: Water is to be heated from 15°C to 65°C as it flows through a 3-cm-internal-diameter 5-m-long tube.…
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Q: Q2/ The wall of a refrigerator is constructed of fiberglass insulation (k=0.035 W/ m. C) sandwiched…
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Q: A cylindriçal fuel rod (k= 30 W/m K) of 2 cm in diameter is encased in a concentric tube and cooled…
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Q: . A 6-m-long 2-kW electrical resistance wire is made of 0.2-cm-diameter stainless steel (k = 15.1…
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Q: A 12-cm outside diameter and 10-cm inside diameter cast iron pipe with conductivity of 80 W/m-K has…
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Q: Water (C = 4180 J/kg-K) enters a 4- cm-diameter tube at 15°C at a rate of 0.06 kg/s. The tube is…
A: Given:Cp=4180 J/kg.Kd=4cm=0.04mm=0.06 kg/sTi=15°Cqs=2500 W/m2To=45°CTo find:-Length of tube, L
Q: Consider heat transfer through a windowless wall of a house on a winter day. Discuss the parameters…
A: The diagram of a windowless wall of a house is given as, In this above diagram, the thermal…
Q: Warm air is blown over the inner surface of the windshield of an automobile to defrost ice…
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Q: saturated steam at 110°C flows inside a steel pipe ( thermal conductivity 50W/mK) having an internal…
A: Basics of heat transfer.
Q: -9- The plate shown in figure is at a uniform surface temperature of L=5m T, = 50°C. Heat is removed…
A: Given Data: The surface temperature of the plate is Ts=50°C. The ambient temperature is T∞=25°C.…
Q: A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s.…
A: Convection heat transfer take place bw solid boundary and flowing fluid. It is of two types:- 1)…
Q: 3-A 4-mm-diameter and 10-cm-long aluminum fin (k= 237 W/m- C) is attached to a surface. If the heat…
A: The heat exchanger is a device used to transfer heat from one fluid to another fluid. For heat…
Q: A pot with a diameter of 20 cm is placed on the stove. The pot is made of stainless plate (k = 15 W…
A: Given data: The diameter of the pan is D = 20 cm. The conduction coefficient of pan is k = 15…
Q: 2-m-long, 0.3-cm-diameter electrical wire extends across a room at 15°C, Heat is generated in the…
A: Given data,L=2mD=0.3cm=0.3100m=0.003mT∞=15°C, V=60 Volt, TS=152°C, I=1.5A°Neglecting heat transfer…
Q: The heat transfer coefficient of oil flowing through a pipe is 300 W/m2 K. Determine the heat…
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Q: The rate of heat flow through a hallow sphere of inner radius 0.25 m and outer radius 0.35m, whose…
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Q: Consider a stainless steel spoon (k = 15 W/m·K) partially immersed in boiling water at 95°C in a…
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Q: In a thermal power plant, a vertical copper pipe of "D" diameter, "H" height and thickness 1 cm…
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Q: Required informetion A cylindrical fue! rod (k = 30 W/m K) of 2 cm in diameter is encased in a…
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Q: You are using a silver spoon to stir water that just started boiling so that you can achieve a more…
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Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…
A: Given data: Diameter of the rod (d) = 5 cm Rate of energy generation E˙=7×107 W/m3 Length of the rod…
Q: Steam passes into tubes in a heating system whose outer diameter is 3 cm and whose wall is held at a…
A: Given Data: The outer diameter of the tube is, D1=3 cm=3 cm×m100 cm=0.03 m. The temperature of the…
Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…
A: givendiameter of cylinder d=5cm=0.05mheat generated uniformaly Q=7×107W/m3length of rod L=1m
Q: A cylindrical copper rod of length 0.400 m and cross-sectional area 5.20 cm? is insulated to prevent…
A: Given data: The length of cylinder rod is l=0.4 m The area of the cross section is A=5.20…
Q: Warm air is blown over the inner surface of the windshield of an automobile to defrost ice…
A: Given:L=5 mmK=1.4 W/m.KTo=-10°Cho=200 W/m2.KTi=25°C
Q: Determine the length of the pipe required to cool the pasteurized orange juice from 65 to 22 °C at a…
A: Given:For hot fluid:Thi=65 CThe=22 Cmh=1500 Kg/hrd=3 cm =0.03 mTci=4 CTce=20 CU=900 J/m2sC=3890…
Q: Air at 20°C with a gonvection heat transfer coefficient of 20 W/m4K blows over a pond. The surface…
A: given surface temperature of the pool =Ts =33 c air temperature =TAIR=20 C CONVECTIVE HEAT…
Q: A 4-mm-diameter and 10-cm-long aluminum fin (k = 237 W/m.° C) is attached to a surface. If the heat…
A: Given:- Rate of heat transfer by using the equation Q1· = hpkA…
Q: A plate-shaped glass wall with a thickness of 3 cm and a heat transfer coefficient of 2W / m.K has…
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Q: Consider a stainless steel spoon (k = 15 W/m·K) partially immersed in boiling water at 95°C in a…
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Q: A heater plate measures 40 cm x 40 cm in the tank and is kept at a constant temperature of 70…
A: Given data: A = 40 cm x 40 cm Tp = 70o C Toil = 30o C ν=0.00026 m2 / s k=0.15 W / mK Pr=2900 Need to…
Q: Water is passed through a 3 cm internal diameter, 8 m long tube is heated from 15 °C to 75°C . The…
A: Data given-
Q: Steam passes into tubes in a heating system whose outer diameter is 3 cm and whose wall is held at a…
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Q: What does the assumption of one dimestional heat conduction mean? In the conduction what actual…
A: Assumption of one dimensional heat conduction. Conduction and heat happen at study state condition.…
Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…
A: We are suppose to solve only one question. Please post other questions as separate question.
Q: 18. An aluminum pan whose thermal conductivity is 237 W/m · °C has a flat bottom whose diameter is…
A: The problem is based on heat transfer and can be solved as:
Q: Q1: An aluminum pan whose thermal conductivity is 237 W/m-°C has a flat bottom whose diameter is 20…
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Q: A 339-ft-long section of a steam pipe whose outer diameter is 4 inches passes through an open space…
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Q: Consider a solid sphere of radius =50 cm. The heat is generated steadily inside the sphere at a ate…
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Q: Two metal rods of equal length-one aluminum, the other stainless steel-are connected in parallel…
A: Given The temperature of the ends of the rods is T1=18.0°C and T2=110°C. The diameter of the rod is…
Q: The heat flux from a wall to air in motion having a heat transfer coefficient of 15 W/m². K and…
A: Given data Heat transfer coefficient (h)=15 W/m2K Change in temperature (dT)=20 oC
Q: Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and…
A: 2) Metal plate thickness, t=4mm=0.004m Thermal conductivity of the plate, kp=95.5 W/moC Vapor…
Q: A 6-m-long 2-kW electrical resistance wire is made of 0.2-cm-diameter stainless steel (? = 15.1…
A: (a) Calculate the volume of the cylindrical wire. V=π4d2l Here, V is the volume of the cylindrical…
Q: The exhaust gases of an automotive engine leave the combustion chamber and enter a 8-ft-long and…
A: Let us assume the bulk temperature of exhaust gas is 700°F Using the table Properties of air at 1…
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- Heat is transferred at a rate of 0.1 kW through glass wool insulation (density=100kg/m3) with a 5-cm thickness and 2-m2 area. If the hot surface is at 70C, determine the temperature of the cooler surface.A thin-wall jacketed tank heated by condensing steam at one atmosphere contains 91 kg of agitated water. The heat transfer area of the jacket is 0.9m2 and the overall heat transfer coefficient U=227W/m2K based on that area. Determine the heating time required for an increase in temperature from 16C to 60C.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.
- 2.55 A long, 1-cm-diameter electric copper cable is embedded in the center of a 25-cm-square concrete block. If the outside temperature of the concrete is 25oC and the rate of electrical energy dissipation in the cable is 150 W per meter length, determine temperatures at the outer surface and at the center of the cable.A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. The pipe is 10 m long and has an inner diameter of 5 cm and a wall thickness of 6 mm. The pipe has a thermal conductivity of 17 W/m·K, and the inner pipe surface is at a uniform temperature of 120°C. The temperature drop between the inlet and exit of the pipe is 7°C, and the constant pressure specific heat of vapor is 2190 J/kg·°C. If the air temperature in the manufacturing plant is 25°C, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.Consider hotdog being cooked in boiling water in a pan. Would the heat transfer be modeled as one-dimensional or two-dimensional? Would the heat transfer be steady or transient? Explain.
- A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. The pipe is 10 m long and has an inner diameter of 5 cm and a wall thickness of 6 mm. The pipe has a thermal conductivity of 17 W/m⋅K, and the inner pipe surface is at a uniform temperature of 120° C. The temperature drop between the inlet and exit of the pipe is 7° C, and the constant pressure specific heat of vapor is 2 190 J/kg⋅°C. If the air temperature in the manufacturing plant is 25° C, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.The exhaust gases of an automotive engine leave the combustion chamber and enter a 8-ft-long and 3.5-in-diameter thin-walled steel exhaust pipe at 800°F and 15.5 psia at a rate of 0.05 lbm/s. The surrounding ambient air is at a temperature of 80°F, and the heat transfer coefficient on the outer surface of the exhaust pipe is 3 Btu/h?ft2?°F. Assuming the exhaust gases to have the properties of air, determine (a) the velocity of the exhaust gases at the inlet of the exhaust pipe and (b) the temperature at which the exhaust gases will leave the pipe and enter the air.In a power plant, pipes transporting superheated vapor are very common. In a certain plant, superheated vapor is flowing at a rate of 0.3 kg/s inside a 5 cm diameter pipe of 10 m length. The air in the plant is maintained at 20oC while the surface temperature of the pipe is 100oC. If the temperature drop between the inlet and exit of the pipe is 30oC and the specific heat capacity of the vapor is 2190 kJ/kg.K, determine the convective heat transfer coefficient at the pipe surface. If necessary, how could this coefficient be increased?
- To defrost ice accumulated on the outer surface of an automobile windshield, warm air is blown over the inner surface of the windshield. Consider an automobile windshield with thickness of 5 mm and thermal conductivity of 1.4 W/m·K. The outside ambient temperature is -10°C and the convection heat transfer coefficient is 200 W/m2·K, while the ambient temperature inside the automobile is 25°C. Determine the value of the convection heat transfer coefficient for the warm air blowing over the inner surface of the windshield necessary to cause the accumulated ice to begin melting.Consider a stainless steel spoon (k = 15 W/m·K) partially immersed in boiling water at 95°C in a kitchen at 25°C. The handle of the spoon has a cross section of 0.2cm x 1.2 cm, and extends 18 cm in the air from the free surface of the water. If the heat transfer coefficient at the exposed surfaces of the spoon handle is 15 W/m2·°C, determine the temperature difference across the exposed surface of the spoon handle. State your assumptions.A 6-m-long 2-kW electrical resistance wire is made of 0.2-cm-diameter stainless steel(? = 15.1 W/mK). The resistance wire operates in an environment at 30°C with a heattransfer coefficient of 140 W/m2K at the outer surface. Determine the maximumtemperature in the wire;(a) by using the applicable relations.(b) by setting up the proper differential equation and solving it.