After a thorough derivation by Doraemon toestablish an equation for cylindrical fuel rod of anuclear reactor. Here he was able to come up anequation of heat generated internally as shownbelow.9G = 9.where qG is the local rate of heat generation perunit volume at radius r, ro is the outside radius,and qo is the rate of heat generation per unitvolume at the centre line. Calculate thetemperature drop from the centre line to thesurface for a 2.5 cm outer diameter rod having k =25 W/m K, if the rate of heat removal from thesurface is 1650 kW/m²А) 619°CВ719 °CC) 819 °CD) 919 °CE1019 °CFNone of these

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Answered: After a thorough derivation by Doraemon…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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2) Design a chain link (meaning find its diameter) made out of a ductile cast iron which needs to operate in a furnace that is used to fire ceramic bricks. The chain will be used for five years at 600°C with an applied load of 5000 lbs. Below is a diagram of the chain link and the Larson-Miller parameter graph for this particular cast iron. Be sure to use the specific equation for the Larson-Miller parameter provided on the x-axis of the graph. Furthermore, for your calculations assume a Safety Factor of 2. Stress (psi) 20,000 10,000 8,000 6,000 4,000 2,000 1,000 32 34 36 Larson-Miller parameter = 30 38 40 42 (36+0.78 ln 1) T(K) 1000 1200 dis SH ER
1 The temperature of the outer surface of the container T5,0 2 The temperature of the inside surface of the container Ts,i 3 The temperature at the center of the waste sphere (r = 0) °℃ °℃ °℃
1. Suppose you have a 4-foot metal rod, made out of steel which has a thermal conductive factor of a = 4 Assume the temperature on the ends of the rod is always 0 degrees. a) Filling in the numerical parameters mentioned above in the problem, write down the general solution to this heat equation, which should include some unknown coefficients (c,'s), in addition to t's and x's.
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The temperature distribution in a certain plane wall is: T-Ty =C₁+Cx²+C₁x² Where TI and T2 are the temperatures on each side of the wall. If the thermal conductivity of the wall is constant and the wall thickness is L, derive an expression for the heat generation per unit volume as a function of x, the distance from the plane where T-T1. Let the heat- generation rate be 'q0 at x = 0
Completely solve and box the final answer. Write legibly 3. Determine the heat loss in KW of a vertical furnace made up of inner wall of firebrick 28 cm thick followed by insulating brick 18 cm thick and an outer wall of steel 1.5 cm thick. Surface temperature of the wall adjacent to the combustion chamber is 895ºC while that of the outer surface of steel is 42ºC. Use a thermal conductivity of wall in W/m-ºK for firebrick, insulating brick and steel to be 14, 0.92, and 52 respectively. The cross section is 2.5 m x 7.5 m.
You are designing a PCB laid horizontally on the ground. The PCB surface temperature can’t exceed 85℃ and has a size of 96mm x 90mm. Tinfinity = 45oC. "p" is the perimeter of the plate a) Calculate the Rayleigh number. b) If the PCB is laid hot-side UP, what is the Nusselt number and heat transfer coefficient? c) If the PCB is laid hot-side DOWN, what is the Nusselt number and heat transfer coefficient? d) Given your results from b and c, which one has better heat transfer? In that case, what is the maximum power dissipation the board can put out? Properties of Air:k = 0.025 W/mkPr = 0.72v = 1.847 x 10−5u = 16.84 x10−6p = 1.2 kg/m3B =1/ Tf (idwal gass)
25- c) A plane wall is having width ‘b’ mm and height 4 times of its width. The wall thickness is 120 mm. the thermal conductivity is 18 W/mK. The surface temperatures are at 700oC and 200o C The heat flow across the plane wall is 746 W Calculate the width, height and area of the wall?
FROM THE BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD.
2. The slab shown is embedded in insulating materials on five sides, while the front face experiences convection off its face. Heat is generated inside the material by an exothermic reaction equal to 1.0 kW/m'. The thermal conductivity of the slab is 0.2 W/mk. a. Simplify the heat conduction equation and integrate the resulting ID steady form of to find the temperature distribution of the slab, T(x). b. Present the temperature of the front and back faces of the slab. n-20- 10 cm IT- 25°C) 100 cm 100 cm
One-dimensional, steady-state conduction with uniform internal energy generation occurs in a plane wall which is subject to convection on the left side at x = 0 and being well-insulated on the other.a) Specify the mathematical model defining T(x): provide a governing differential equation and appropriate boundary conditions. Express your answer in terms of defined variables rather than numerical values with units. b) Solve for the temperature profile T(x) referencing the x-origin as shown on the left surface (again expressing your answer in terms of defined variables rather than numericalvalues.) c) Find the maximum temperature in the wall and the wall surface temperature if the volumetric generation is qdot = 1 MW/m^3 with the remaining parameters as specified in the figure.

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