CHEE2695 – Lecture 11
Chart solutions:
- Equations are tedious and have potential for calculation error.
- Semi-infinite slabs, cylinders, and spheres have charts we can use to more
quickly solve a particular problem.
- The main types of graphs we can use and manipulate are:
o Midpoint temperature,
o Temperature at any point (one dimensional),
o Total heat transfer over a given time period.
Midpoint temperature:
- Midpoint temperature graphs have an x-axis of θ0 , and a y-axis of τ , with lines
k 1
of = .
hL Bi
- These graphs depend on the geometry of the object of interest
- For example:
Temperature at any point:
1 θ
- These graphs have an x-axis of , and a y-axis of , with lines varying
Bi θ0
based on geometry.
- These charts depend on the geometry of the object of interest.
Chart solutions:
- Equations are tedious and have potential for calculation error.
- Semi-infinite slabs, cylinders, and spheres have charts we can use to more
quickly solve a particular problem.
- The main types of graphs we can use and manipulate are:
o Midpoint temperature,
o Temperature at any point (one dimensional),
o Total heat transfer over a given time period.
Midpoint temperature:
- Midpoint temperature graphs have an x-axis of θ0 , and a y-axis of τ , with lines
k 1
of = .
hL Bi
- These graphs depend on the geometry of the object of interest
- For example:
Temperature at any point:
1 θ
- These graphs have an x-axis of , and a y-axis of , with lines varying
Bi θ0
based on geometry.
- These charts depend on the geometry of the object of interest.
