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1. Transient Heat Conduction in Large Biot Number Systems P M V Subbarao
Mechanical Engineering Department
2. Relationship between the Biot number and the temperature profile.
3. Systems with Negligible Surface Resistance Homeotherm is an organism, such as a mammal or bird, having a body temperature that is constant and largely independent of the temperature of its surroundings.
4. Biot Number of Small Birds
5. Biot Number of Big Birds
6. Very Large Characteristic Dimension
7. Very Large Characteristic Dimension
8. The semi-infinite solid
9. Semi Infinite Walls
20. Constant Surface Heat Flux
21. Submit an (handwritten only) Assignment proving the surface convection and Constant surface heat flux problems.Date of submission : 8th Oct 2008.
22. Heisler Parameters Heisler divided the problem into two parts.
Part 1 : Instantaneous center line temperature. Variables are q0,,L, t, and a.
Part 2 : Spatial temperature distribution for a given center line temperature at any time. Variables are : qcenter,,x,L, and a.
Two different charts were developed.
Three parameters are needed to use each of these charts:
First Chart :
Normalized centerline temperature,
the Fourier Number,
and the Biot Number.
The definition for each parameter are listed below:
23. Mid Plane Temperature of Slab
24. Second Chart : Frozen Time Parameter
25. Temperature Distribution in A Slab
26. Internal Energy Lost by the Slab
27. Change in Internal Energy of A Slab
28. Centre Line Temperature of An Infinite Cylinder
29. Temperature Distribution in An Infinite Cylinder
30. Change in Internal Energy of An Infinite Cylinder
31. Centre Temperature of A Sphere
32. Temperature Distribution in A Sphere
33. Change in Internal Energy of A Sphere
34. Multi-dimensional Transient Conduction
35. Multi-dimensional Conduction The analysis of multidimensional conduction is simplified by approximating the shapes as a combination of two or more semi-infinite or 1-D geometries.
For example, a short cylinder can be constructed by intersecting a 1-D plate with a 1-D cylinder.
Similarly, a rectangular box can be constructed by intersecting three 1-D plates, perpendicular to each other.
In such cases, the temperature at any location and time within the solid is simply the product of the solutions corresponding to the geometries used to construct the shape.
For example, in a rectangular box, T(x*,y*,z*,t) - the temperature at time t and location x*, y*, z* - is equal to the product of three 1-D solutions: T1(x*,t), T2(y*,t), and T3(z*,t).
36. Transient Conduction in A Finite Cylinder