2. Two bars are conducting heat from a region of higher temperatureto a region of lower temperature. The bars have identical lengths andcross-sectional areas, but are made from different materials. In the draw-ing they are placed “in parallel" between the two temperature regions inarrangement A, whereas they are placed end to end in arrangement B.In which arrangement is the heat that is conducted the greatest? (a) Theheat conducted is the same in both arrangements. (b) Arrangement A(c) Arrangement B (d) It is not possible to determine which arrangementconducts more heat.100 °C´Aluminum0 °C0 °C100 °CAluminumСоpperCopper

Answered: 2. Two bars are conducting heat from a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The steady-state temperature distribution in a one-dimensional wall of thermal conductivity 50 W/m -K and thickness 50 mm is observed to be T(°C) = a + bx, where a = 200 °C, b=-2000 °C/m², and x is in meters. i. ii. What is the heat generation rate in the wall? (8) Determine the heat fluxes at the two wall faces. In what manner are these heat fluxes related to the heat generation rate? (
2. The lateral surface of a 50-units-long, thin vertical rod is insulated. When 0
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20. The two plates of Problem 11 made of the same material and having constantk are exposed on one side to hot water at Tw and hw and on the other to cold air atTa and ha. Find a) the equation for temperature profile in these plates and b) temperaturesat x = 0 and at x = L if hw = ha = h. [Ans.: a) T1(x) = c1x + c2 where, c1 = hw(Ta – Tw)/c3 and c2 – Ta = – hw(haL +k)(Ta – Tw)/(hac3) where c3 = (k + hwL + hwk/ha)].
B5
2. Clothing made of several thin layers of fabric with trapped air in between, often called ski clothing, is commonly used in cold climates because it is light, fashionable, and a very effective thermal insulator. So it is no surprise that such clothing has largely replaced thick and heavy old- fashioned coats. Multilayered ski jacket REBUT
Thermal energy is being transferred through a 0.8 mm layer of human skin at a rate of 1.1 x 104 W/m?. The room temperature is 27 °C. (a) Determine the thermal conductivity of the skin.
As part of your work-study program at HTU, you successfully got a student job at your local ‘BEST-BURGER-IN-TOWN’ to help pay your own tuition and expenses. Since cylindrical frozen burger patties are cooked when placed on a hot stainless-steel cooking top, you like to think of the case as a conduction problem:a. Write down the appropriate general heat conduction equation that describes the cooking of those beef patties.b. Clearly state all assumptions.c. After cancelling the proper terms, write down the final energy equation for the patties.Do not solve for temperature distribution or heat transfer.
The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.10 x 106 m2 is laid in a straight line on the bridge deck with its ends attached to the towers of the bridge. On a summer day the temperature of the wire is 22.0°C. (a) When winter arrives, the towers stay the same distance apart and the bridge deck keeps the same shape as its expansion joints open. When the temperature drops to -10°C, what is the tension in the wire? (Take Young's modulus for steel to be 2.00 x 1011 N/m2, and the average linear expansion coefficient for steel to be 1.1 x 10-Soc-1.) (b) Permanent deformation occurs if the stress in the steel exceeds its elastic limit of 3.00 x 10° N/m2. At what temperature would the wire reach its elastic limit? (c) Explain how your answers to parts (a) and (b) would change if the Golden Gate Bridge were twice as long.
If temperature difference is doubled whereas thermal conductivity and wall thickness are halved, what will be change in heat conducted through wall?
A short bar of copper, 25 mm in diameter, is enclosed centrally within a steel tube of external diameter 36 mm and thickness 3 mm. At 0°C the ends of the bar and tube are rigidly fastened together and the complete assembly heated to 80°C. Calculate the stress in the bar and in the tube if E for copper is 100 000 N/mm?, E for steel is 200 000 N/mm? and the coefficients of linear expansion of copper and steel are 0.000 01/°C and 0.000 006/°C, respectively.
(3) Determine the permissible value of electrical current flowing copper wire of d=2 mm diameter, covered with rubber insulation with a thickness of 8=1 mm, if it is known that the temperature of the insulation can not be larger than 333 K. The calculations assume: electrical resistance of copper wire R=5-103 Q/m, conductivity of the rubber 1=0,15 W/(m-K), of surroundings heat transfer coefficient a=8 W/(m²-K), at an ambient temperature of air t,=20°C.

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