Find the heat loss from the fin,
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- Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. Such a radiator, made of copper, is filled to its 12-L capacity when at 10.0°C. -What volume of radiator fluid, in liters, will overflow when the radiator and fluid reach their 99.5°C operating temperature, given that the fluid’s thermal coefficient of volume expansion is 400.0 × 10-6 / °C? The coefficient of volume expansion for copper is 5.1 × 10-5 /°C.How long must a 0.4 cm cylindrical copper fin be if the temperature of its insulated tip exceeds thesurrounding air temperature by 20% of T0 – T∞? Consider air temp to be 20°C and ℎ̅ = 28 W/m2K. Book gives answerof 27.3 cm.• You can use figure 4.9a or equation 4.45 in the book to find the right mL for the desired at the tip. • Recall the nondimensional temperature is = (T – T∞)/(T0 – T∞)Solve for this : An engine cover is made from 1 cm thick stainless steel plate (k = 14 W/m K). Air on the inside of the engine cover is heated to 340°C with a heat transfer coefficient of 7 W/m2K. Outside of the engine coverthe ambient air has a temperature of 70°C. If oil was spilled on the outside of the engine cover (ambient side), it could ignite if the surface temperature were to exceed 200°C. In this configuration, would spilled oil ignite? Use calculations to justify your answer. If a 4 mm thermal coating (k = 1.1 W/m K) was applied tothe outside of the engine, what would the outside temperature of the engine cover be reduced to?
- manufacturer plans to use steel wire (ks = 25 Wm-1 K-1 ) in a household appliance. For safetyconsiderations, we would like an estimate of the smallest electric current that is required to melt the wire.The bare wire is exposed to 20°C air with convective heat transfer coefficient of 15 Wm-2 K-1 and hasdiameter of 2.0 mm and electrical resistance of 0.20 W/m (i.e., per meter of wire). Thermal energy isproduced within the wire at the rate I2 Re , where I is the electrical current through the wire and Re is thewire’s electrical resistance. I = 0.643 Solve the microscopic energy balance in the steel wire with a prescribed temperature Ts at the wiresurface, as well as the requirement that temperature be finite at the center of the wire, to find anexpression for the temperature at the center of the wire in terms of the surface temperature Ts . Use yourresult to estimate the electric current at which the wire begins to melt.Determine the thermal shock resistance for a tool steel with the following properties: tensile strength σ = 2000MPa, thermal conductivity k = 51.9 W/m℃, elastic modulus E = 200 000 MPa, and thermal expansion coefficient α = 12.1m/m℃.A steel pipe (K=45.0 W/mK) having a 0.05m O.D.is covered with a 0.042 m thick layer ofmagnesia (K =0.07W/mK) which in turn coveredwith a 0.024 m layer of fiberglass insulation(K=0.048 W/mK). The pipe wall outsidetemperature is 370K and the outer surfacetemperature of the fiberglass is 305K. What isthe interfacial temperature between the magnesia and fiberglass? also calculate thesteady state heat transfer.
- A furnace wall is to consist in series of 7 in of kaolin firebrick, 6 in of kaolin insulating brick, and sufficientfireclay brick to reduce the heat loss to 100 Btu/ hr ft2 when the face temperatures are 1500 and 100°F,respectively.a) Show the figure of the systemb) What thickness of fireclay brick should be used?c) If an effective air gap of 1/8 in can be incorporated between the fireclay and insulating brick whenerecting the wall without impairing its structural support, what thickness of insulating brick will berequired?A stainless steel tube (AISI 304) with 36 mm internal diameter and 2mm wall thickness is used for transporting a fluidrefrigerated. The fluid is kept at 6oC and the ambient air is at 23oC, being the convective coefficients of the inner and outer sides equal to 100 W/(m2 oC) and 50 W/(m2 oC), respectively. A) If a 10 mm insulating layer is inserted into the surfaceexposed pipe (kiso=0.050 W/(m.K)), what will be the heat gainper unit of tube length and the new temperature of theexposed surface?An industrial process to harden ball bearings involves quenching them in a cooling bath at40°C. The bearings move on a conveyor belt from an oven, through the cooling bath, andthen out to air dry. The oven is long enough that the bearings reach a uniform temperatureof 900°C before exiting the oven. The ball bearings must exit the cooling bath no hotterthan 100°C. The ball bearings are made of AISI 316 Stainless Steel and the convectioncoefficient between the bearings and the cooling fluid can be considered constant at ℎ =600 W m2-K⁄ . You can find thermophysical properties of different materials in Appendix Aof the Bergman textbook.a) What is the largest diameter ball bearing that can be treated as thermally lumpedfor this cooling process? Take ? at a reasonable average temperature for this process.You do not need to interpolate if the average temperature is within ~30 K of a giventable value.b) The cooling bath is 5 m long. Using the diameter you found in part (a), estimate thespeed…
- As part of an industrial pipe system a 6-meter-long by .5 meter inner diameter copper pipeweighing 200kg holds a lubricating oil in place while is heats from 20 deg C to 55 deg C. At thatpoint, the valve opens and allows to oil to flow through. What is the total heat transferrequired? And, what percentage of the heat transferred does the oil and copper each accountfor? (oil density = .9 kg/L , oil specific heat = 1800 J/kgC)A stainless steel tube (AISI 304) with 36 mm internal diameter and 2mm wall thickness is used for transporting a fluidrefrigerated. The fluid is kept at 6oC and the ambient air is at 23oC, being the convective coefficients of the inner and outer sides equal to 100 W/(m2 oC) and 50 W/(m2 oC), respectively. Ask:(a) Estimate the global heat transfer coefficient for thisprocess and identify the limiting resistance between the resistancesinvolved;(b) What is the heat gain per unit length of the tube?(c) What is the temperature at the surface of the tube exposed to air?(d) If a 10 mm insulating layer is inserted into the surfaceexposed pipe (kiso=0.050 W/(m.K)), what will be the heat gainper unit of tube length and the new temperature of theexposed surface?An aluminum pipe has a length of 75 m at atemperature of 18°C. An adjacent steel pipe at thesame temperature is 5 mm longer than thealuminum pipe. At what temperature (C) will thealuminum pipe be 15 mm longer than the steel pipe? (Assume that the coefficients ofthermal expansion of aluminum and steel are a = 23 x 10–6/°C and s = 12 x 10–6/°C,respectively.)