Page | HW | Class | Topic |
17 | 2.19cdg | 2.19e | Classification |
17 | 2.20 | Classification | |
17 | 2.21ac | 2.21b | Classification: assume u=u(x,y,z) |
18 | 2.25 | 2.24 | Canonical form |
18 | 2.26 | Canonical form | |
18 | 2.22ach | 2.22d | Characteristics |
18 | 2.27bc | 2.27d | 2D Canonical form |
18 | 2.28bejo | 2.28nml | 2D Canonical form |
98 | 7.20 | 7.19 | Unsteady heat conduction in a bar |
98 | 7.21 | 7.22 | Unsteady heat conduction in a bar |
98 | 7.25 | 7.24 | Unidirectional viscous flow |
99 | 7.29 | 7.28 | Acoustics in a pipe |
99 | 7.35 | 7.36 | Steady supersonic flow |
99 | 7.37 | 7.37 | Steady heat conduction in a plate |
99 | 7.39 | 7.38 | Potential flow inside a cylinder |
00 | Unsteady heat conduction in a disk |
Also solve the following problem:
Solve the 3D steady heat conduction inside an infinite circular pipe of radius a if the pipe surface is kept at a constant temperature T0. Inside the pipe, at a radial distance away from the axis, there is a point source of heat putting out Q units of heat per unit time.
Using the results, discuss the temperature distribution in cross sections well away from the point heat source. How is the temperature different from T0? How rapidly does the temperature drop off to T0 in the axial direction?
Hints: