To determine the thermal conductivity of a long, solid 2.5-cm-diameter rod, one half of the rod was inserted into a furnace while the other half was projecting into air at 27°C. After steady state had been reached, the temperatures at two points 7.6 cm apart were measured and found to be 126°C and 91°C, respectively. The heat transfer coefficient over the surface of the rod exposed to the air was estimated to be 22.7 W/m²K. What is thermal conductivity of the rod?

To determine the thermal conductivity of a long, solid 2.5-cm-diameter rod, one half of the rod was inserted into a furnace while the other half was projecting into air at 27°C. After steady state had been reached, the temperatures at two points 7.6 cm apart were measured and found to be 126°C and 91°C, respectively. The heat transfer coefficient over the surface of the rod exposed to the air was estimated to be 22.7 W/m²K. What is thermal conductivity of the rod?

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

See similar textbooks

Related questions

Q: Consider a large plate of electrically resistive material that has a thickness of L=20 cm and themal…

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: For heat transfer purposes, an egg can be considered to be a 4-cm diameter sphere having the…

A: Given : The diameter of the egg is The boiling temperature of water is The heat transfer…

Q: A 2m diameter disk made of brick fire 30cm thick is in contact with a 3m x 2m insulating brick wall…

A: Given data: Diameter of disc, d = 2 m Length of wall, l = 3 m Breadth of wall, b = 2 m Thickness of…

Q: The wall of a furnace has a thickness of 5 cm and thermal conductivity of 0.7 W/m-°C. The inside…

Q: Under steady-state conditions, the wall of a brick house is measured to have an inside temperature…

Q: Calculate the heat transfer in kJ per hour through a solid brick wall 8 cm, 3 m high and 225 mm…

A: Given: The outer surface temperature is Tc=5°C. The inner surface temperature is Th=17°C. The…

Q: A long cylindrical rod has a 20-cm-diameter at a uniform temperature of 600°C. The rod is then…

A: Given d=20cm T0=873K T∞=473K T=?…

Q: Consider a long, pure iron rod with a diameter of 2 cm and at an initial uniform temperature of 27…

A: To determine the temperature at the centre of a long iron rod after 45 seconds of heating, we use…

Q: A 2.5-cm-thick sheet of plastic initially at 20oC is placed between two heated steel plates that are…

A: Giventhe thermal diffusivity the thermal conductivity of the plasticthickness of the sheet…

Q: We are testing a thin, transparent film heater that is bonded to the inside of an automobile window…

A: Thickness of atuomobile window, t=3 mmSurface area of window, A=0.6 m2Air temperature inside the…

Q: A steel plate having a thickness of 100 mm is suddenly exposed to a hot gas at 1000 oC in a furnace.…

Q: A soil with thermal diffusivity 6X106 m2/s and thermal conductivity 30 w/m.K is initially at a…

Q: A 2-m-long, 4-cm-diameter electrical wire extends across a room at 20°C, as Shown in Fig. below.…

A: The length of the rod is .The diameter of the rod is .The surrounding temperature is The surface…

Q: In an experiment to determine the thermal conductivity of a new metal alloy, a bar of the metal is…

A: GivenQ=705Wr=0.069mL=0.365mTh=67.3oCTc=10.5oC

Q: Determine the time needed to decrease the temperature of a solid cylinder from 40 C to 35 C if the…

Q: Under conditions for which the same room temperature is maintained by a heating or cooling system,…

Q: A spherical pellet (ρ =1000 kg/m3 , c = 1000 J/(kg⋅K)) with a radius ro = 1 cm is cooled from an…

A: Given Data ρ =1000 kg/m3 , c = 1000 J/(kg⋅K) ro = 1 cm h = 100 W/(m2 K) Ans(a) k = 0.1 W/(m⋅K)…

Q: The top of a large industrial hot water heater has been left uninsulated. The top may be modeled as…

A: To calculate the heat transfer rate from the top of the hot water heater, we need to consider both…

Q: lumped system with a volume of 0.003 m³ and a surface area of 0.08 m² is made of a material with…

Q: A USB-powered coffee cup warmer advertised on Amazon claims to have a heating plate that reaches…

Q: In an orbiting space station, an electronic package is housed in a compartment having a surface area…

A: Surface area, A=1 m2 Surface emissivity, ε=1 Space temperature, To=0 K Heat generated, Q=500 W Solar…

Q: Determine the resistance (in F-h/BTU) of a hollow cylinder with an inside and outside radius of 2 in…

Q: A furnace is made of a red brick wall of thickness 250 cm and conductivity 1.2 W/mK. Determine the…

Q: The wall of a furnace consists of 200 mm thick refractory brick (k = 3 Btu / hr-ft2-0F), 100 mm…

Q: Determine the average temperature of the hot surface of the board, assuming the board is horizontal…

A: Given: PCB of 23 cm x 28 cm Board is horizontal, and hot surface facing up T∞=20°CHeat dissipated,…

Q: A 3 mm diameter and 5 mm long electric wire is tightly wrapped with a 2 mm thick plastic cover of…

A: When heat flows radially outwards in case of cylindrical body then there exists a temperature…

Q: A thin metal plate is insulated on the back and exposed to solar radiation on the front surface. The…

Q: The roof of an airconditioned home is 7 m long, 9 m wide, and 20 cm thick. It is made of a flat…

A: (a) To find: The rate of heat through the roof in watt. Given: The length, width and thickness of…

Q: A cylinder made of silver with radius of 0.750 mm, 500 mm in length and initially at 455 K is…

A: Given: T = 900 K Ti = 455 K Tinf = 955 K h = 100 W/m2K density = 10.49 g/cm3 = 10.49*103 kg/m3 k =…

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

Q: The ears of a rabbit can be thought of as two rectangular fins that dissipate heat. The dimensions…

Q: A 2x2-m glass window, 1 cm thick is subjected to 10°C and 3°C inner and outer temperatures…

A: As per given question A 2x2-m glass window, 1 cm thick is subjected to 10°C and 3°C inner and outer…

Q: An electrical wire with a length of 5-m and 3.5-mm-Ø spreads over one room at 18°C. Heat is…

Q: A 4-mm and 2-m-long electric wire is tightly wrapped with a 2-mm-thick plastic cover whose thermal…

A: Write the given value using suitable variables. Here r1 signifies wire radius, L signifies wire…

Q: Ice water of 0°C is stored in a spherical container made of steel with an inner diameter of 3 m and…

Q: Two large stainless steel plates at temperatures of 90°C and 70°C are separated by a stainless steel…

A: The diameter of the pipe is d=2.5 cm. The length of the pipe is L=0.3 m The thermal conductivity of…

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

To determine the thermal conductivity of
a long, solid 2.5-cm-diameter rod, one
half of the rod was inserted into a furnace
while the other half was projecting into
air at 27°C. After steady state had been
reached, the temperatures at two points
7.6 cm apart were measured and found to
be 126°C and 91°C, respectively. The heat
transfer coefficient over the surface of
the rod exposed to the air was estimated
to be 22.7 W/m²K. What is thermal
conductivity of the rod?

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Consider a machine surface that is made of a 5-mm thick alu- minum with a thermal conducdvity of 237 W/m-K. During operation the machine dissipates about 300 W/m2 of heat to the surroundings, and the inner aluminum surface is at 150OC. To prevent machine operators from thermal burns, the machine surface can be covered with insulation. The aluminum/ insuladon interface has a thermal contact conductance of 3003 W/m2-K. What is the thickness required for the insuladon layer with a thermal conductivity of 0.06 W/m K in order to maintain the surface temperature at 45°C or lower?
A 0.025-mm-diameter stainless steel wire having K =16 W/m • C is connected to two electrodes. The length of the wire is 80 cm and it is exposed to a convection environment at 20 •C with h = 500 W/m2 • •C. A voltage is impressed on the wire that produces temperatures at each electrode of 200 -C. Determine the total heat lost by the wire in cal/hr.
Determine the heat flow (in Watts) across a plane wall of 8.1m thickness with a constant thermal conductivity of 9.67 W/mK when the surface temperatures are steady at 422°C and 73.5°C. The wall area is 29m². Reduce your answer into two decimal places. T, -L-
Consider a person standing in a room kept at 22°C at all times. Your house It has been observed that the inner surfaces of the walls, floor and ceiling are at an average temperature of 15°C. If this person's exposed surface area is 1.4 m2 and if the average external surface temperature is 30°C, this person and the surrounding surfaces Determine the radiation and heat transfer rate between One's emissivity, the Stefan-Boltzmann constant a=5,67x10 -8 W/m 2 K 4
Water hardening process of 2 m long and 0.05 m diameter steel bars will be carried out. The steel bar, which is heated up to 900 °C in the oven, is cooled to an average temperature of 100 °C in a water bath. The water bath is kept at a uniform temperature of 30 °C and the heat transfer coefficient between the water and the rod surface is 325 W/m2K. Accordingly, calculate the time required for the steel bar to cool to 100°C in the water bath. (Steel bar p=7832 kg/m3, cp=434 J/kgK, k=63.9 W/mK)
based on a large 4 cm thick plate that is initially at a uniform temperature of 20°C that is heated by passing it through a space maintained at 500°C. The plate remains in the space for a period of 7 min. Take the heat transfer coefficient to be 120-W/m2°C. Example 4-4 [k = 110-W/m°C, r = 8530-kg/m³, C, = 0.380-kJ/kg°C, a = 33.9 x 10-6 m²/s] The dimensionless distance from center to a point 0.4-cm below the outer surface is 0.5 0.8 none of the above 0.2
It is measured that a 2-m2 wall has a heat transfer rate of 7200 W. If the thickness of the wall is 0.02-m and the temperature difference on either side of the wall is 60ºC, determine the thermal conductivity in W/m K.
asap
A wall receives sunlight from 7:30 am to 6:30 pm. The amount of energy it receives is 420 W/m2 and 15% is emitted as radiation into the surrounding air. The inside of the wall has a temperature of 48°C. If the wall is 7 m long and 6 m high and 30 cm thick, what is the temperature when x=20 cm?
You are cooling the door to a large heat-treating oven, which is 3.50 m tall by 1.30 m wide, with a large fan blowing air at 25.0°C over the outside of the door. The convection coefficient associated with this cooling process is h = 57.0 W/(m2-K). The outside surface temperature of the door is 58.0°C. Find the heat transfer rate q, in units of Watts, associated with this cooling process.