Morning all,
This is probably going to seem absurdly simple, however I need to do a very quick conduction calculation as part of a much larger problem I am working on. I was wondering if anyone would be able to give me some pointers as time is of the essence.
The scenario can be simplified as follows: I have a slab of homogeneous material 10mm thick that can be considered semi-inifinite with a series of discretised elements on top of it. The attached (terrible and uninformative) image shows two such elements; lets pretend they are 1mm apart. To further simplify we can consider the elements to not have area and simply act as points. All I need to know is how to calculate the time taken to raise the surface temperature at point 2 by a given amount (lets say 1degree K) when the surface temp of point 1 is raised above the ambient temperature of the bulk material by some amount (lets say 5 degree K) for a known transient heating "on" time (lets say 2s).
You can see I've been quite general, but this is because I need to try some different heating scenarios.
Thanks in advance for any help given.
J
EDIT: I know I put radial in the title, but I simplified the geometry when writing the post an forgot to change it, sorry!
This is probably going to seem absurdly simple, however I need to do a very quick conduction calculation as part of a much larger problem I am working on. I was wondering if anyone would be able to give me some pointers as time is of the essence.
The scenario can be simplified as follows: I have a slab of homogeneous material 10mm thick that can be considered semi-inifinite with a series of discretised elements on top of it. The attached (terrible and uninformative) image shows two such elements; lets pretend they are 1mm apart. To further simplify we can consider the elements to not have area and simply act as points. All I need to know is how to calculate the time taken to raise the surface temperature at point 2 by a given amount (lets say 1degree K) when the surface temp of point 1 is raised above the ambient temperature of the bulk material by some amount (lets say 5 degree K) for a known transient heating "on" time (lets say 2s).
You can see I've been quite general, but this is because I need to try some different heating scenarios.
Thanks in advance for any help given.
J
EDIT: I know I put radial in the title, but I simplified the geometry when writing the post an forgot to change it, sorry!