Modeling: Light irradiance and spatio-temporal decay

  • #1
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Hello everyone!

1. Homework Statement

I want to model the irradiance on a fluid element while it is flowing, from a fixed(above or below) light source that has an irradiance that shows first order decay with time and from x-naught to x-infinity .

here are the assumptions:
-Laminar flow at fixed rate (in x-direction)
-fluid element in fixed y-value from light source (above or below, doesnt matter.
-reflection/scatter effects are insignificant
-flow is in a tube (differential irradiance in y-direction)

Homework Equations


first order decay.

The Attempt at a Solution



I would like some direction regarding the best approaches to model such a situation, and am comfortable with solving differential equations. Thank you so much!
 

Answers and Replies

  • #2
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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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