Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a rate of 4 x10 W/m'. Determine the temperature difference between the center and the surface of the fuel rod. Answer: 9.0°C

Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a rate of 4 x10 W/m'. Determine the temperature difference between the center and the surface of the fuel rod. Answer: 9.0°C

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.82P: Discuss the modes of heat transfer that determine the equilibrium temperature of the space shuttle...

See similar textbooks

Related questions

Q: OA l-m long hollow cylinder of inner radius 5 cm and outer radius 15 cm is considered. The inner…

A: Given data: The length of the cylinder, L = 1 m. The inner radius of the cylinder, ri = 5 cm. The…

Q: Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a…

Q: 1. A stainless steel cylindrical shaft of 25-cm-diameter comes out of an oven at a uniform…

A: GivenD=0.25mTi =800°CT∞=150°Ch=80W/m2

Q: In a nuclear reactor, heat is generated in 1-cn diameter cylindrical uranium fuel rods at a rate of…

A: Given Diameter, d = 1 cm Heat generation, q = 4x 107 W/m3 Thermal…

Q: A 4-mm-diameter, 10-cm-long aluminum fin (k = 237 W/m-K) is attached to a surface. If the heat…

Q: Q18: Heat is generated uniformly at a rate of 2.6 x10 w/m³ in a spherical ball (k = 45 W/m - "C) of…

A: Given Data: The rate of heat generation is q˙=2.6×106 W/m3. The thermal conductivity of the…

Q: An aluminum pan with a thermal conductivity of = 237 /m.K is used to heat water as shown in the…

A: As per given D=15cm K=237 w/m°c Q=1400w T=105°c We have to determine temperature of outer surface

Q: A plane wall of thickness 5cm and k-25 W/m.K contains a uniform heat source of 2x107 W/m³. The…

Q: Determine the temperature variation inside the iron plate with a thickness of 1.5 mm,…

A: Given, T∞ = 18 oC h = 11 W/m2K k = 21 W/mK A = 310 cm2 = 0.031 m2 l = 1.5 mm = 1.5 x 10-3 m Q = 2 kW…

Q: Q1) Consider the base plate of a 800-W household iron having a thickness of L=0.6 cm, base area of…

Q: The 5-mm-thick bottom of a 200-mm-diameter pan may be made from aluminum (k 240 W/m K) or copper (k…

A: Given data The 5-mm-thick bottom of a 200-mm-diameter aluminum (k = 240 W/m K) copper (k = 390…

Q: H.W. Q: An aluminum pan whose thermal conductivity is 237 W/m-°C has a flat bottom with diameter 20…

A: Heat transfer by conduction is given by Fourier's law Q=-kAlA dTdx the temperature gradient decrease…

Q: Q18: Heat is generated uniformly at a rate of 2.6 x10 W/m3 in a spherical ball (k = 45 W/m C) of…

Q: The 2 m × 1.5 m area of the wall of an industrial furnace burning natural gas is not insulated and…

Q: A long 35-cm-diameter cylindrical shaft made of stainless steel 304 (k = 14.9 W/m·K, r = 7900 kg/m3,…

A: Given data Diameter of cylindrical shaft of stainless steel d = 0.35 cm = 0.35m so radius = 0.175m…

Q: Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and…

A: thickness of plate, t=4mmthermal conductivity of plate, k=95.5W/m-Kheat transfer coefficient on…

Q: A 1000-W iron is left on the ironing board with its base exposed to the air at 20°C. The convection…

Q: A long homogeneous resistance wire of radius r0 = 2 cm, and thermal conductivity k = 25 W/m°C is…

A: Generalised equation in case of cylinder for 1 dimension:1r∂∂r(r∂T∂r)+qk=0∂∂r(r∂T∂r)=-qrkIntegrating…

Q: A pot with a diameter of 20 cm is placed on the stove. The pot is made of stainless plate (k = 15 W…

A: Given data: The diameter of the pan is D = 20 cm. The conduction coefficient of pan is k = 15…

Q: In a conduction heat transfer process through a solid slab layer taking place under steady-state…

Q: 210: In a nuclear reactor, 1-cm-diameter cylindrical uranium rods cooled by water from outside serve…

Q: Q1/ A heating system is to be designed to keep the wings of an aircraft cruising at a velocity of…

A: Given that , v=900km/hh=12200mT1=55.4°CP1=18.8kPa

Q: In a cylindrical fuel rod of a nuclear reactor, heat is generated internally according to the…

A: Given: The diameter of the rod is do = 25 mm. The thermal conductivity is k = 26 W/m-K. Heat…

Q: The rate of heat flow through a hallow sphere of inner radius 0.25 m and outer radius 0.35m, whose…

Q: A saucepan 30 cm in diameter is placed on the stove. The pot is made of stainless plate (k = 15 W /…

A: Given data: The diameter of the surface pan is d = 30 cm. The coefficient of conduction for pan is…

Q: Required informetion A cylindrical fue! rod (k = 30 W/m K) of 2 cm in diameter is encased in a…

Q: A 2-kW resistance heater wire with thermal conductivity of k = 20 W/m - C, a diameter of D =5 mm,…

A: Given data as per the question thermal conductivity = 20 W/m · °C diameter = 5 mm length = 0.7 m…

Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…

A: Given data: Diameter of the rod (d) = 5 cm Rate of energy generation E˙=7×107 W/m3 Length of the rod…

Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…

A: givendiameter of cylinder d=5cm=0.05mheat generated uniformaly Q=7×107W/m3length of rod L=1m

Q: A long 20 cm diameter shaft made of stainless steel 304 comes out of an oven at a uniform…

Q: Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a…

A: The value of thermal conductivity is not given so I have assumed some standard value for uranium.

Q: A 4-mm-diameter and 10-cm-long aluminum fin (k = 237 W/m·K) is attached to a surface. If the heat…

A: Given data as per question Diameter = 4 mm Length = 10 cm k=237 W/mK heat transfer coefficient is 12…

Q: Two rods ( fins) having same dimensions , one made of brass ( k = 85 Wm K) and the other of copper (…

A: Given data: - The thermal conductivity of brass rod is kB = 85 W/m-K. The thermal conductivity of…

Q: A 5.1-m internal diameter spherical tank made of 1.6-cm-thick stainless steel (k = 15 w/m- c) is…

Q: 058 Btu/h · ft · °R). The inner temperature of the insulation is 67°F. The outer temperature of the…

Q: Consider a stainless steel spoon (k = 15 W/m·K) partially immersed in boiling water at 95°C in a…

Q: Q2: A long 25 cm diameter cylindrical shaft made of stainless steel 304 comes out of an oven at a…

Q: 8.) A 50-m-long section of a steam pipe whose outer diameter is 10 cm passes through an open space…

A: Given data, Length of the steam pipe, L = 50 m Outer diameter of the steam pipe, D2 = 0.1 m Outer…

Q: A 339-ft-long section of a steam pipe whose outer diameter is 4 inches passes through an open space…

A: GivenLength of pipe=339ftOuter diameter=4inchesSpace temp=50°FSurface temp Ts=297°FAverage heat…

Q: In a nuclear reactor, 1-cm-diameter cylindrical uranium rods cooled by water from outside serve as…

A: The temperature distribution represents the temperature at finite points on the surface. The…

Q: Q1: In a nuclear reactor, heat is generated uniformly in the 5-cm-diameter cylindrical uranium rods…

A: We are suppose to solve only one question. Please post other questions as separate question.

Q: A furnace wall comprises three layers of thickness 250 mm, 100 mm, and 150 mm with thermal…

Q: Q1: An aluminum pan whose thermal conductivity is 237 W/m-°C has a flat bottom whose diameter is 20…

Q: The 10-mm-thick bottom of a 200-mm-diameter pan may be made from aluminum (k = 240 W/m-K) or copper…

Q: Q2/ A metal plate of 4mm thickness (k = 95.5 W/m°C) is exposed to vapor at 100°C on one side and…

A: 2) Metal plate thickness, t=4mm=0.004m Thermal conductivity of the plate, kp=95.5 W/moC Vapor…

Q: A furnace wall comprises three layers of thickness 250 mm, 100 mm, and 150 mm with thermal…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a rate of 4 x10
w/m?. Determine the temperature difference between the center and the surface of the fuel rod.
Answer: 9.0°C

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Discuss the modes of heat transfer that determine the equilibrium temperature of the space shuttle Endeavour when it is in orbit. What happens when it reenters the earths atmosphere?
8--The reactor from uniform carbide and graphite as a cylinder rod with diameter of 12 mm. The volumetric heat liberationis 3.88x108 W/m3 The thermal conductivity of the rod material is 85 W/mC.. Determine the heat losses from the rod and the surface temperature if the maximum temperature of the rod is 200C...Ans Tw=1940 C,,Heat losses=1.164 MW/m2.
6. a. The heat flux applied to the walls of the biomass combustion furnace is 20 W/m2. The furnace walls have a thickness of 10 mm and a thermal conductivity of 12 W/m.K. If the wall surface temperature is measured to be 50oC on the left and 30oC on the right, prove that conduction heat transfer occurs at a steady state!b. Heating the iron cylinder on the bottom side is done by placing the iron on the hotplate. This iron has a length of 20 cm. The surface temperature of the hotplate is set at 300oC while the top side of the iron is in contact with the still outside air. To reach the desired hotplate temperature, it takes 5 minutes. Then it takes 15 minutes to measure the temperature of the upper side of the iron cylinder at 300oC. Show 3 proofs that heat transfer occurs transiently
b. Consider a 1000-W iron whose base plate is made of 0.005-m-thick aluminum alloy 195, Cast. The base plate has a surface area of 0.03 m?. Initially, the iron is in thermal equilibrium with the ambient air at 22 °C. Taking the heat transfer coefficient at the surface of the base plate to be 12 w/m²K and assuming 80 percent of the heat generated in the resistance wires is transferred to the plate, i. determine how long it will take for the plate temperature to reach 150 °C. Is it realistic to assume the plate temperature to be uniform at all times? ii. Air 22°C 1000 W iron
Specific Heat Capacities of common substances: Water ()- 4.184- Iron (s) -0.45 L Aluminum (s) -0,89L Mercury () -0.14 Carbon (s) - 0.71 Silver (s) = 0.24 Gold (s) -0.13 Brass (yellow solid alloy) - 0.402 A piece of metal weighing 59.047 g was heated to 100.0°C and then put it into 100.0 mL of water (initially at 23.7°C). The metal and water were allowed to come to an equilibrium temperature, determined to be 27.8°C. Assuming no heat lost to the environment, calculate the specific heat of the metal. (Hint: First calculate the heat absorbed by the water then use this value for "q" to determine the specific heat of the metal in a second calculation.) Compare your result to the above list of substances. What could the metal be?
At a temperature of 21.4°C the hole in a steel plate has an area of 8.80 x 10- m2. You heat the plate until the area of the hole increases to 8.97 x 10- m2, which allows a steel rod to just slip through this hole. What is the final temperature of the plate? The coefficient of linear expansion of steel is 12 × 10-0/°C.
A tube-launched rocket has stabilizing fins at its rear. During launch the fins experience hot gas at Tg = 1700 oC for a time t = 0.3 seconds. It is important that the fins survive launch without surface melting, T. Given the heat transfer coefficient is h, the heat flux per unit area is q=h(Tg-Ts). What is the objective for this design? High melting point Low thermal conductivity Launching efficiency Low melting point
Posting it second time . Answer all else dont answer - You are using a silver spoon to stir water that just started boiling so that you can achieve a more even heat distribution in your water. The spoon is partially immersed in boiling water and a thermometer in your kitchen reads 27 °C. The handle of the spoon has a cross section of 2mm × 1cm and extends 15 cm in the air from the free surface of the water. The heat transfer coefficient at the exposed surfaces of the spoon handle is 3 W/m2 ×K. Part A : Determine the temperature difference across the exposed surface of the spoon handle. Follow the problem-solving guide on the front page. At the minimum, your analysis should answer the following questions providing detailed justifications:-What are the modes of heat transfer that the spoon is exposed to? -Is this a time dependent or steady state problem? Why or why not?-Is this a 1-D, 2-D or 3-D problem? Why or why not?- What is the thermal conductivity of the material?- The heat…
Q#01: Write a short note on the following: What are the best possible solutions to increase the heat transfer rate of a body? Which material will transfer more heat? Either a material with thermal conductivity ? = 121 or ? = 22 . Justify your answer. Explain the Fouling phenomenon. What is the effect of fouling on heat transfer rate.
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
Q16: In a nuclear reactor, heat is generated in 1-cm diameter cylindrical uranium fuel rods at a rate of 4 x107 W/m?. Determine the temperature difference between the center and the surface of the fuel rod. Answer: 9.0°C
Quenching is a rapid cooling process by which many metallic alloys are hardened. Brass (a copper alloy: 70 Cu, 30 Zn) plates that are 4 mm thick are quenched in a water bath at a heat treating plant. If a brass plate is initially at 4500C determine the quench time needed for the plate to attain 900C. The water bath temperature is 800C and has an average convective heat transfer coefficient of 45 W/(m2 K), determine how long the plate has to remain in the oven.