Problem 9-3: A T-type thermocouple is used to measure temperature differenceacross insulation in the ceiling of a residence in an energy monitoring program. Thetemperature difference across the insulation is used to calculate energy loss throughthe ceiling from the relationshipQ = k Ac (AT)whereAc = ceiling area =15 m²k=insulation thermal conductivity= 0.4Wm°CL= insulation thickness = 0.25 mAT = temperature difference = 5°CQ=heat loss (W)The value of the temperature difference is expected to be 5° C, and the thermocoupleemf is measured with an uncertainty of ±0.04 mV. Determine the required number ofthermopile junctions to yield an uncertainty in Q of ±5% (95%), assuming theuncertainty in all variables other than AT may be neglected.

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Answered: Problem 9-3: A T-type thermocouple is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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36 -S 42 2. Metal castings can sometimes develop a gap between the casting and mold as the molten metal hardens. The result can be a substantially altered cooling process. Set up a simple heat-transfer model that would let you look at the effect of the gap on the cooling process. Assume the casting and mold are square in shape, with an air gap of thickness das shown in the figure. The mold sits in some ambient room temperature. State clearly all assumptions and develop a corresponding model of the heat transfer problem. Assuming that the casting is aluminum, the mold is diatomaceous earth and the gap is filled with air, see if you can arrive at and summarize some insight into the effect of the gap and its size on the heat transfer process.
6. Make a diagram and show the step-by-step process. Do not use shortcut methods. Make it as detailed as it can be. Encode (not hand-written)!
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14.3 The external brick wall of a building has a surface area A of 830 m² and thickness 8 of 300 mm. The wall has a thermal insulation on its outer sur- face. The thermal conductivity of concrete k is 1.6 W/m K and of insulation k; is 0.04 W/m K. The indoor and outdoor air temperatures are t₁ = 21°C and to = 3°C, respectively. The heat-transfer coefficients are h; = 14 W/m²K (on the inner surface) and h = 20 W/m²K (on the outer surface). Determine (1) the rate of heat loss through the wall without insulation and (2) the thick- ness of the insulation required to reduce the rate of heat loss by 60%.
The composite wall of an oven consists of three materials, two of which are of known thermal conductivity, ka = 20 W/m · Kand ke = 50 W /m · K, and known thickness, LA = 300 mm and Lc = 150 mm. The third material, B, which is sandwiched between materials A and C, is of known thickness, Lg = 150 mm, but unknown thermal conductivity kg. ka ke Air T., h Under steady-state operating conditions, measurements reveal an outer surface temperature of T, = 20°C, an inner surface temperature of T, = 600°C, and an oven air temperature of T = 800°C. The inside convection coefficient h is known to be 25 W/m? · K. What is the value of kg?
An external wall of a building has a U value of 0.50 W/m^2K. The indoor temperature is21 degrees C and the outdoor temperature is -2.0 degrees C The steady-state heat loss is calculated to be 11.5W/m^2 The wall contains a layer of insulation 40 mm thick with a conductivity of0.035 W/mK. What would the insulation thickness need to be in order toreduce the steady state heat loss by 50%? answer = 0.11m please show all working
A conditioned space has a calculated heat loss at the design maximum heating day of 10,000 BTUs / Hr to maintain an interior temperature of 70 F. We will use a hydronic baseboard style convector to heat the space. The style we have chosen comes in standard lengths. At rated temperature and flow of hydronic heating fluid for each 1 foot of length the heater will add 750 BTUs /Hr to the room. What length of heater can just maintain the temperature on the worst day? For this example we are ignoring other sources of heat loss such as ventilation or drafts.
a. An air stream passing through a 2-inch (1/6 ft) diameter, thin-walled tube is to be heated by high- pressure steam condensing on the outer surface of the tube at 320 °F. The overall heat transfer coefficient, h between steam and air can be assumed to be 25 Btu/(ft2.hr °F) with the air entering at 100 ft/sec, 10 psia, 40 °F. The air is to be heated to 150 °F. Determine the tube length required. Assuming Rayleigh Line flow, calculate the static pressure change due to heat addition. Also, for the same inlet conditions, calculate the pressure drop due to friction, assuming Fanno flow in the duct with f = 0.018. b. c. d. To obtain an approximation to the overall pressure drop in this heat exchanger, add the two results. Discuss the accuracy of this calculation.
G. ?" Which matcrial has the higher themal conductivity'? d: 5. (ht What is the overall heat-transfer coefficicnt U? Describe a physical situation,in す 5コ . :- which it could be used. 石:.5 . (c) A standard Schedule 405 cm steel pipe (inside diameter 5.25 cm and wall thickness 040 cm) čarrying steam is lagged (i.e insulated) with 5.0 cm of 85 per cent magnesia covered in turn with 5.0 cm of cork. Estimate the heat loss per hour per meter of pipc if the inner surface of the pipe is at 120°C and the outer surface of the cork is at 32°C. The thermal conductivitics of the substances concerned are 9. of Material Thermal Conductivity [Watts/ha K] Steel 45 85% Magnesia (0.07 Cork 0.05 At いい 1
A J- type thermocouple is used to measure the temperature in a heating process. Sheath material used is SS316. The length of the sheath is 10mm and thickness is 0.2mm. Find the time constant of the sheath. Material Q(kg/m3) s(J/Kg - oc) K(W/m-k) Platinum 21450 130 71.6 SS304 8030 500 21.4 SS316 7990 500 21.4 SS410 7750 460 24.9 Air 1.20 1005 0.025 MgO Powder 3580 877 26.8 Silicon compound 3210 800 3 Time constant of the bare material is, T= Answer
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