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Conduction:
Heat transfer through a stationary medium or between stationary media
Convection
Heat transfer between the surface of a medium and a moving fluid
Radiation
Heat transfer by emission and absorption of electromagnetic waves
Temperature gradient
Conduction is proportional to the
Particle
Particles with more energy transfer energy to particles with less energy
Conduction is heat transfer from ______ Interaction
Microsale convection
Energy transfer between particles and surface
Macrosale convection
Energy transfer from bulk fluid motion
the temperature difference
Convection is proportional to
Forced Convection:
Flow is caused by an outside "prime mover" (fan, pump, etc.)
Natural (Free) Convection:
Flow is caused by density gradient(buoyancy)
surrounding medium.
Can occur in a vacuum
Radiation Does not require a ________ and can occur in a _______
Fin effectiveness
Fin value that tells you if you need to add a fin
Fins
Surface extensions designed to increase heat transfer rates
Take the base temp and distribute it over the entirety of the fin
What is the goal of a fin
Fin Efficiency
Fin value that tells you if the right material is being used based on how well the fin performs
Heat moved by the fin / heat moved by the bare surface
Fin effectiveness is a ratio of
heat moved by fin / heat moved by fin if all T = Tbase
Fin efficiency is a ratio of
heat transfer coefficient h
Adding fins is useful if _ for a fluid is low
thermal conductivity k
Solids with high _ produce more effective fins
0
As fin length approaches infinity, fin efficiency approaches
convective heat transfer coefficient, rate of heat transfer between a solid surface and a fluid per surface area
what is h and what does it tell you
Thermal conductivity,
measure of a materials ability to conduct heat
What is k and what does it tell you
conduction
What type of heat transfer is Fouriers law used in
No
The heat rate used to relate to Ohm's law is an equation for no heat generation when there is heat generation, the formula doesnt properly relate to Ohm's law
Is thermal resistance applicable when there is heat generation? why
Resistance created by the gaps between rough surfaces
What is contact resistance
Bi < 0.1
The temperature gradient in a solid body is so small that we can assume the body to be at a solid uniform temperature
When is lumped capacitance used (numerical reason and stated reason)
Convective
A small biot # the (conductive or convective) resistance dominates
Conductive
A large biot # the (conductive or convective) resistance dominates
dimensionless
Fourier # and Biot # are both
time
Fourier # is a dimensionless ________
How fast the heat transfers
Time constant tells you
how rapidly a change in T propagates through a material
Thermal diffusivity (alpha) tells you
convection heat transfer
Newtons law of cooling is used for what heat transfer type
The heat flux emitted by a surface /
The heat flux emitted by a black body surface
What is emissivity a ratio of
Black body
What is an ideal emitter in radiation called
1
A black body emits with a emmisivity of __
energy, all energy is absorbed.
Since no energy is reflected you cant see it so its called a black body
A black body reflects no _____, meaning __. How does this relate to its name?
Surroundings
In radiation, _______ are large compared to the bodies
Gray bodies
Surfaces in radiation problems are known as
ε, emmisivity
Gray bodies are described by ___
Radiation, when Area of gray body is <<< than Area of Surroundings
Large enclosure model is used in which type of heat transfer and when is it applicable
Radiation
In what type of heat transfer problems is stefan Boltzman law used
The upper limit to emmisive power in the form of the black body equation
What does Stefan Boltzman's law state? ( it states a certain limit)
Annular fins
When is the modified bessel equation used
Constant Temp
Constant Heat Flux
Convective boundary
What are the three boundary conditions in the conduction equation?
Constant T initial
Known Temp distribution
Lumped capacitance model
What are the three initial conditions in the conduction heat equation?
constant heat flux
The adiabatic boundary condition is a sub type of what boundary condition?
1. Convective Tip
2. Adiabatic Tip
3. Fixed Temperature Tip
4. Infinite Fin
What are the 4 Fin Tip conditions
Cosh and sinh
A fin of constant cross-sectional area uses what type of math function in its formula
The spacial part (temperature gradient)
What part of the conduction heat equation needs boundary conditions?
The Temporal part (storage part, right side of equation)
What part of the conduction heat equation needs initial conditions?
The temporal part
If steady state what part of the conduction equation = 0
Est and Egen
When performing surface energy balance what two terms in the first law are eliminated
The outside of the tube because air has a lower h
Picture A tube with hot liquid inside and air on the outside, what side needs fins and why
Convection boundary,
It's a mixture of the constant T and Constant heat flux conditions
Which boundary condition is known as the mixed boundary condition
Knowing the temperature slope
Knowing the heat flux at the boundary surface is the equivalent of
Both boundaries
In the constant temp boundary condition, T is known at
Parabolic
The conduction equation with generation results in what kind of temperature distribution