Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods at a rate of 7x 10' W/m. If the length of the rods is 1 m, determine the rate of heat generation in each rod.Answer: Q=137.4 kWQ2: Write down the one-dimensional transient heat conduction equation for a plane wall with constant thermalconductivity and heat generation in its simplest form, and indicate what each term represents. Also, what isthe units of every term?Q3: Consider a spherical container of inner radius r1, outer radius r2, and thermal conductivity k. Express theboundary condition on the inner surface of the container for steady one dimensional conduction for thefollowing cases: (a) specified temperature of 50°C, (b) specified heat flux of 30 W/m² toward the center, (c)convection to a medium at T with a heat transfer coefficient of h.Q4: Heat is generated in a long wire of radius ro at a constant rate of go per unit volume. The wire is coveredwith a plastic insulation layer. Express the heat flux boundary condition at the interface in terms of the heatgenerated.Q5: Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k =2.3 W/m C, and surface area A =20 m?. The left side of the wall is maintained at a constant temperature of T1 = 80°C while the right sideloses heat by convection to the surrounding air at T= 15°C with a heat transfer coefficient of h = 24 W/m2."C. Assuming constant thermal conductivity and no heat generation in the wall, (a) express the differentialequation and the boundary conditions for steady one-dimensional heat conduction through the wall, (b)obtain a relation for the variation of temperature in the wall by solving the differential equation, and (c)evaluate the rate of heat transfer through the wall. Answer: (c) 6030 WQ6: Consider a solid cylindrical rod of length 0.15 m and diameter 0.05 m. The top and bottom surfaces of therod are maintained at constant temperatures of 20°C and 95°C, respectively, while the side surface isperfectly insulated. Determine the rate of heat transfer through the rod if it is made of(a) copper, k =380 w/m "C, (b) steel, k= 18 W/m - "C, and (c) granite, k = 1.2 W/m - "C.Q7: Consider the base plate of a 800-W household iron with a thickness of L= 0.6 cm, base area of A =160 cm2,and thermal conductivity of k = 20 W/m - C. The inner surface of the base plate is subjected to uniformheat flux generated by the resistance heaters inside. When steady operating conditions are reached, theouter surface temperature of the plate is measured to be 85°C. Disregarding any heat loss through theupper part of the iron, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the plate, (b) obtain a relation for the variation of temperature in thebase plate by solving the differential equation, and (c) evaluate the inner surface temperature. Answer: (c)100°CQ8: Consider a large plane wall of thickness L= 0.3 m, thermal conductivity k = 2.5 W/m - °C, and surface area A= 12 m2. The left side of the wall at x =0 is subjected to a net heat flux of qo= 700 W/m2 while thetemperature at that surface is measured to be T1 = 80°C. Assuming constant thermal conductivity and noheat generation in the wall, (a) express the differential equation and the boundary conditions for steadyone-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature inthe wall by solving the differential equation, and (c) evaluate the temperature of the right surface of thewall at x = L. Answer: (c) -4°CQ9: A 2-kW resistance heater wire with thermal conductivity of k = 20 W/m - °C, a diameter of D = 5 mm, and alength of L = 0.7 m is used to boil water. If the outer surface temperature of the resistance wire is Ts =110°C, determine the temperature at the center of the wire.

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Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods at a rate of 7 x 10' W/m2. If the length of the rods is 1 m, determine the rate of heat generation in each rod. Answer: Q'=137.4 kW

Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods at a rate of 7 x 10' W/m2. If the length of the rods is 1 m, determine the rate of heat generation in each rod. Answer: Q'=137.4 kW

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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Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods at a rate of 7 x 107 W/m'. If the length of the rods is 1m, determine the rate of heat generation in each rod. Answer: Q=137.4 kW
A temperature difference of 85 •C is impressed across a fiberglass layer of 13 cm thickness. The thermal conductivity of the fiberglass is 0.035 W/m • -C. Compute the heat transferred through the material in kcal per hour per unit square meter area.
Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods at a rate of 7 x 10' W/m?. If the length of the rods is 1 m, determine the rate of heat generation in each rod. Answer: Q'=137.4 kW
The heat capacity of a liquid is 250 J/K, if its mass is 50 kg the specific heat capacity of the liquid would be 1250 J kg/ K C° 50 J kg/ K C° 125 J kg/ K C° 5 J kg/ K C° No answer
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Which of the following statements are correct in the context of thermal conductivity? (Check all that apply.) Check All That Apply The thermal conductivity of gases is proportional to the square root of absolute temperature. The thermal conductivity of liquids is proportional to the square root of absolute temperature. The thermal conductivity of most liquids decreases with increasing temperature. The thermal conductivity of most liquids increases with increasing temperature.
The bottom of a 50mm diameter, 2mm thick metallic induction heater is 120C while its thermal conductivity is 60 W/m-C. The voltage and current flowing into the heater are 220V and 5A, respectively. Find the temperature at the top portion of the pan. Sketch diagram and show pertinent solutions. Box your final answer and express numerical values in 2 decimal places
Question 5 Heat transfer A domestic refrigerator with inner dimensions of 0.7 m by 0.7 m at the base and height 1 m was designed to maintain a set temperature of 6 °C. The bodies consist of two 10- mm-thick layers of Aluminium (k = 225 W/mK) separated by a 30 mm polyurethane insulation (k=0.028 W/mK). If the average convection heat transfer coefficient at the inner and outer surfaces are 11.6 W/m2K and 14.5 W/m2K respectively, calculate: WAO Data: Hgt = L2 = ho3= W = k2 = hi = L1 = L3 3= T01= m, k;= k3 = To2 = %3D %3D %3D %3D %3D %3D %3D Area= 5.1 the individual resistance(R) for each thermal layer, as well as for the total of the refrigerator,
2-9 A steel tube having k = 46 W/m- °C has an inside diameter of 3.0 cm and a tube wall thickness of 2 mm. A fluid flows on the inside of the tube producing a convection coefficient of 1500 W/m² . °C on the inside surface, while a second fluid flows across the outside of the tube producing a convection coefficient of 197 W/m2.°C on the outside tube surface. The inside fluid temperature is 223°C while the outside fluid temperature is 57°C. Calculate the heat lost by the tube per meter of length.
4. Two aluminum blocks with different dimensions, but the same mass are shown in the figure. The dimensions of block 1 are 0.25 cm in thickness, 3 cm in width, and 36 cm in length. The dimensions of block 2 are 3 cm for each side of the cube. Aluminum has a density of 2700 kg/m³ and a specific heat capacity of 900 J/kg-°C. The value of the heat transfer coefficient to the surrounding air is 10 W/m²-°C. 0.25 cm 36 cm 3 cm 3 cm Block 1 3 cm Block 2 3 cm Complete the following. (a) Calculate thermal time constant (in min) for both blocks. (b) Each block is heated to an initial temperature 120 °C and then allowed to cool in the surrounding air which is at 20 °C. Write a script file in MATLAB® that plots the temperature as a function of time, T(t), for both blocks on the same graph. Plot the temperature of block 1 using a solid black line and the temperature of block 2 using a dotted black line. Plot for a duration equal to four of the longer time constant between blocks 1 and 2. The time…
1- A solid infinitely long cylinder, radius 2 cm, has uniform internal heat generation. The temperature distribution in the cylinder is T(r) = = 256 – 8.6 x 104 r² where r is in meters, T in °C and the thermal conductivity of the cylinder material is 16 W/ m °C. Determine: (a) The temperature at the centerline. (b) The surface temperature. (c) The heat flux at the surface. (d) The rate of heat transfer to the surrounding per unit meter of cylinder length.
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