Thermal conduction is the transfer of internal energy by microscopic collisions of particles and movement of electrons within a body. The colliding particles, which include molecules, atoms and electrons, transfer disorganized microscopic kinetic and potential energy, jointly known as internal energy. Conduction takes place in all phases: solid, liquid, and gas.
Heat spontaneously flows from a hotter to a colder body. For example, heat is conducted from the hotplate of an electric stove to the bottom of a saucepan in contact with it. In the absence of an opposing external driving energy source, within a body or between bodies, temperature differences decay over time, and thermal equilibrium is approached, temperature becoming more uniform.
In conduction, the heat flow is within and through the body itself. In contrast, in heat transfer by thermal radiation, the transfer is often between bodies, which may be separated spatially. Also possible is the transfer of heat by a combination of conduction and thermal radiation. In convection, the internal energy is carried between bodies by a moving material carrier. In solids, conduction is mediated by the combination of vibrations and collisions of molecules, of propagation and collisions of phonons, and of diffusion and collisions of free electrons. In gases and liquids, conduction is due to the collisions and diffusion of molecules during their random motion. Photons in this context do not collide with one another, and so heat transport by electromagnetic radiation is conceptually distinct from heat conduction by microscopic diffusion and collisions of material particles and phonons. But the distinction is often not easily observed unless the material is semi-transparent.
In the engineering sciences, heat transfer includes the processes of thermal radiation, convection, and sometimes mass transfer. Usually, more than one of these processes occurs in a given situation.
The conventional symbol for thermal conductivity is k.
Homework Statement
1) I try to understand the lorentzian lineshape and relate to the gaussian graph but i don't know what is the difference.
2) Uncertainty principle- if it's related to the lorentzian lineshape it will give the information about the lifetime in the well and the width of...
Homework Statement
A glass windowpane in a home is 0.62 cm thick and has dimensions of 1.0 m x 2.0 m. On a certain day, the indoor temperature is 25˚C and the outdoor temperature is 0˚C.
a) What is the rate at which energy is transferred by heat through the glass?
b) How much energy is lost...
Homework Statement
A cubical box 22cm on a side is constructed from 1.3cm -thick concrete panels. A 100 W lightbulb is sealed inside the box. What is the air temperature inside the box when the light is on if the surrounding air temperature is 20 C?
Homework Equations
rate of heat transfer...
So this is my current problem:
I have block of solid material that separates two bodies of gas. The temperature of all three is known (and presumably all different). The solid material is also being heated, equally throughout its volume.
I want to know the instantaneous heat transfer...
I am an ME with my years of heat transfer approx. 20 years back. I have a 3' x 7' insulated sub floor that utilizes an electric heat mat (2' x 5'). The heat mat is on top of the sub floor. Oh and a reflective layer between the heat mat and the sub floor. Finally I have a .100" diamond plate on...
I'm not from the chemistry major but I need to learn solid state chemistry out of the need of my research. I viewed solid state chemistry lectures online delivered by professor Donald Sadoway from MIT. Particularly on the topic of conductors, insulators, semi-conductors, I have some confusions...
Homework Statement
There's a radioactive isotope placed inside an iron sphere (R=2cm), which acts as a source of constant heat (P=1W). The isotope is uniformly distributed over a very thin spherical layer (r=1cm). How much higher is temperature in the center of the sphere compared to...
1. The problem statement
A truncated cone 30cm high is made of Aluminum. The dia at the top is 7.5cm, and 12.5cm at the bottom. The lower surface is maintained at 93 deg C, the upper surface at 540 deg C. the other surface is insulated. Assuming 1 dimensional heat flow, calculate the rate of...
Find a general formula for the temperature u(x,t) in the form of a series with general formula for the coefficients of the series.
\alpha^2 \frac{\partial^2 u}{\partial x^2} = \frac{\partial u}{\partial t} with 0 < x < L; t>0
u(0,t) = 0
\frac{\partial u}{\partial x} (L,t) = 0 with t>0...
Hello all,
I'm trying to put as precise a finger as I can on the quantum-mechanical description of conduction so I could explain it to, say, a curious 8th grader. The goal here is not to be able to perform calculations but give an explanation that does not suffer the errors of the Drude model...
Homework Statement A steel cylinder of radius 7.0 cm and length 4.0 cm is placed in end-to-end thermal contact with a copper cylinder of the same dimensions. If the free ends of the two cylinders are maintained at constant temperatures of 85°C (steel) and 20°C (copper), how much heat will flow...
[b]1. Suppose the insulating qualities of the wall of a house come mainly from a 4.0-in. layer of brick and an R-19 layer of insulation. What is the total rate of heat loss through such a wall, if its total area is 195 ft^2 and the temperature difference across it is 15 degrees F.
[b]2...
In the band theory it is said that, in conductors, conduction bands are only half-filled. So, when Electric filed is applied, the electrons can easiliy jump into higher energy states of the same band and move freely.
If the electrons a so free to move, what constitute the resistance of the...
Homework Statement
A tent being considered for cold-weather conditions has insulation on the top and sides with a conductivity, k = 0.040 W/(m*K) and a thickness, l = 0.50 cm. The tent (and surrounding medium) has the following conditions: a heater (inside the tent) producing heat at a rate...
Homework Statement
Show that the equation governing the stead-state radial conduction of heat in a sphere or spherical shell with volumetric heat production is given by
\frac{k}{r^2}\frac{d}{dr}(r^2\frac{dT}{dr})+\rho H = 0
where k is thermal conductivity, H is the heat production per unit...
The other day I was at a football match and I had a cup of tea in a styrofoam cup. The tea was practically boiling - far too hot to drink, but the cup was only warm to the touch. I know that if the tea had been in a china cup or mug it would hve been uncomfortably hot to pick up.
Why does the...
My question pertains to mechanisms for heat transfer in an everyday situation. I've put that sentence first (rather than the next one) so that people looking at the post preview wouldn't think I was posting irrelevant threads. In Canada, today is Thanksgiving day. The packaging on my Turkey...
Homework Statement
I have a cylinder that's made up of three sections, brass, stainless steel, brass. There's a heat source at the top and a heat sink at the bottom. I know the overall heat transfer coefficient, power supplied to the heater, length, diameter, cross-sectional area of the...
"I pour hot water into a metal container. The inside surface of the container gets hot."
It is quite clear the inside surface gets hot due to conduction (criteria of process is satisfied).
What i am not so sure about is whether radiation is involved. Theory and some gut instinct tells me...
I am trying to solve an advanced heat transfer problem and I have a 2nd order ODE. I can solve the homogeneous solution easily, but I am having trouble with the non-homogeneous solution.Homework Statement
Given a turbine blade and asked to model as a one-dimensional fin, subject to the...
An iron pot filled with boiling water is on top of a stove. The bottom has a surface area of 200 cm2 and a thickness of 2.00 mm. If the bottom has a temperature of 480°C, how much heat flows through it per second? Answer wanted in kJ/s
Q/t= (kt)A*(deltaT/d)
The thermal conductivity...
Homework Statement
Describe how a metal sphere on an insulating stand is charged if a positively-charged rod were to touch the sphere. (This is a 5 mark problem, so at least 5 major points should be included in the answer. I am not sure whether I have fully answered the problem.)
Homework...
I am not sure how to approach this problem. If you have a carbon steel pipe that is being heated on one end at a constant temperature of 1500C. Can you figure out how much distance in pipe will it require before it cools to 790C? The thermal conductivity of Carbon steel is 54 W/mk. Another...
This problem has been SOLVED.thx.Question 1
Homework Statement
1)The temperature of an ice layer,of thickness 50m, is -50 deg.C.If the ice layer continues to grow,find the timetaken for it to grow by another 1mm.
Temperature at the bottom of ice layer is 0 deg.C
2)Calculate the minimum rate...
Homework Statement
A copper bar of thermal conductivity 401 W/(m·K) has one end at 102°C and the other end at 23°C. The length of the bar is 0.10 m and the cross sectional area is 1.0 multiplied by 10-6 m2.
(a) What is the rate of heat conduction along the bar?
(b) What is the temperature...
Hey.
I want to derive the conductivity of graphene.
I'm looking for a formula of the sort:
J = \frac{e}{\hbar} n \frac{dE}{dk} D(E) \Delta E
where
\frac{1}{\hbar} \frac{dE}{dk}
is the electron velocity,
D(E) = \frac{dN}{dE}
is the density of states,
\Delta E
might be the applied voltage...
Why does DCM work the way it does?
Because it makes no sense (To me, obviously).
Not how it works. Why it works. The intuitive form, to me, would be that a lighter load would mean more time before the loop discharges, (due to tau = L/R) but apparently it's the other way around in a buck...
Let's say we use a very simple model consisting of non-interacting electrons in a 3D infinite square well, perhaps a cube of a single metal crystal. If an electron is in a particular energy state, then its wavefunction is spread across the entire crystal.
However, electrons are said to...
I have been studying how electrical conduction and insulation works but have a few things I would like to get cleared up. Thanks in advance for any help.
1. Why is the energy needed for an electron to jump to the conduction band in a material so much higher in insulators then conductors and...
Homework Statement
Which one of the following statements about heat flow is FALSE?
(A) Thermal conduction is due to energy exchange during collisions of atoms or molecules.
(B) Thermal convection occurs only in fluids.
(C) The rate of heat flow due to thermal radiation is proportional to the...
Homework Statement
Two well-insulated slabs, one of steel the other of copper, are in close contact as illustrated.
Find the temperature at the interface between the two slabs & also the rate at which heat is transferred across the slabs.
Thermal conductivities of steel and copper are...
Hi folks,
I am new to PF. First I have to apologize for the following english -- it is not my native language.
I have problems in understanding the formation of the conduction and valence bands of solids:
For example in III-V compound semiconductors both constituents are sp3 hybridized...
[b]1. Homework Statement [/b
the ends of a 20cm long,2cm diameter rod are maintained at 0degrees and 100degrees by immersion in an ice-water bath and boiling water. heat is conducted through the rod at 4.5x10^4J/h. of what material is the rod made?
Homework Equations
Q/dt=k(A/L)dT
The...
ok...Two identical rectangular rods of metal are welded end to end (hot dog to hot dog) with a temperature of 0 Celcius on the left side and a temperature of 100 celcius on the right side. in 2 min 10 joules is conducted at a constant rate from the right side to the left side. How much time...
What is the dissipation due to heat conduction?
D = -k \frac{\vec q\cdot\nabla T}{T}
where q is the heat flux, k is the
coefficient of heat conduction and T is the absolut temperature.
What is the physical meaning of this?
Homework Statement
Diagram is attached showing part (a) and part (b)
Two identical rectangular rods of metal are welded end to end (a), with temperature of T1=0 0C on the left side and a temperature of T2=100 0C on the right hand side. In 2.0 minutes, 10J is conducted at a constant rate...
Homework Statement
The one dimensional steady-state heat conduction equation in a medium with constant conductivity (k) with a constant volumetric heat generation in three different coordinate systems (fuel rods in a nuclear power plant) is given as:
\frac{d^2 T}{dx^2}=-\frac{\dot{q}}{k}...
Conduction "what if" questions...
What is the Biot number (hL/k) is greater than 0.1 and I use the lumped capacitance method for analysis (i.e. there are temperature gradients in the "lump" and I have assumed they are absent). What effect does it have on the result?
What is the largest...
Homework Statement
A problem with odd harmonics only. Show that the solution of the heat equation du/dt=c2*(d2u)/(dx2), subject to boundary conditions u(0,t)=0 and ux(L,t)=0, and the initial condition u(x,0)=f(x) , is
u(x,t)= \sum Bnsin[(\pi/2L)(2n+1)x]e-((c*\pi/2L)*(2n+1))^2
where n...
[b]1. what is the magnitude of the force between two parallel conductors 3.0m long,with currents of 5.0 A and 9.0 A, 20 cm apart?
[b]2. Fm = IlBsin~
Fm = qvBsin~
Hi All,
from this page:
http://en.wikipedia.org/wiki/Saltatory_conduction
If at node N1, an AP is generated and then the passive spread initiates another AP at node N2, is there 2 APs existing at the same time?
In fact, the second AP is ever initiated before the first has ended. It seems...
is a turbine an example of convention? (because it is a fluid or gas)
are vents an example of radiation?
are heavy drapes an example of conduction?
are window tints an example of radiation? because it is a reflector of heat
are white tiles and paint an example of radiation?
turbine-convention? (because it is a fluid or gas)
vents-radiation?
heavy drapes-conduction?
window tints-radiation? because it is a reflector of heat
white tiles/paint-radiation?
Homework Statement
Suppose the insulating qualities of the wall of a house come mainly from a 4.0-in. layer of brick and an R-19 layer of insulation, as shown in the figure. What is the total rate of heat loss through such a wall, if its total area is 190ft^2 and the temperature difference...
I’ve been trying to understand salutatory conduction in myelinated axons and want a better understanding of how depolarization at one node of Ravier causes an action potential at the next. Is it caused by the actual mechanical movement of sodium ions through the axon? There is an animated...
we know that at temperature above 0K, in semiconductor some electron collecting sufficient energy fron surroundings to cross the band gap, placed in the conduction band. But what's the actual procedure to make the transition. I mean to say is it direct absorption of IR photons or by some other...
Here's the issue I'm trying to wade through:
1. If you excite electrons from valence band to conduction band (with a laser say), you are out of thermodynamic equilibrium. In some recombination time, the system will go back to equilibrium. All well in good.
2. Now let us consider a very...