Steady state diffusion through three layers system
Not what you're looking for?
Consider a system that consists of a flat layer of material of thicness L that creates radioactive particles surrounded on each side by a very thic layer of material that absorbs the partices that are produced by the radioactive layer.... see attached
Purchase this Solution
Solution Summary
The solution shows how to formulate the steady state equation, solve them and apply physical and mathematical conditions to obtain the concentration profile.
Solution Preview
A condensed version of the solution is provided below. Please see attached for full workings, with equations.
(a) The equations are:
(1.1)
Since the system is invariant under translation in the xy plane, the concentration profile is a function of time (t) and altitude (z) only.
In a steady state, the concentration profile, by definition, does not change with time:
(1.2)
The steady state concentration profile is a function of z alone So the equations for the steady state become standard ordinary differential equations:
(1.3)
For equation (1.3.1) we get:
(1.4)
Since are constants, integrating twice with respect to z yields the general solution:
...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.