Initial conditions given are T(z,0), Y(z,0), T*(z,0), W(z,0), Yw(z,0), and boundary conditions are T(0,t) and Y(0,t). My formulation is to replace the approximation into the four equations above, and separate the parameters such that they can be represented in the form Ax=b, where x are the...
I'm trying to replicate the model presented in this [paper](http://www.sciencedirect.com/science/article/pii/S1359431103000474), which is basically to model heat and mass transfer along a one-dimensional duct.
There are four characteristic equations for this problem :
Momentum conservation...
Homework Statement
Solve
\frac{\partial v}{\partial t} = k\frac{\partial^2 v}{\partial x^2} - v
0\leq x \leq L
t > 0
Homework Equations
v(x,0) = f(x), v(0,t)=0, \frac{\partial v}{\partial x}(L,t) = -v(L,t)
The Attempt at a Solution
I've already attempted to solve...
Homework Statement
A circular profile with radius r is subjected to opposing compressive forces Fc in the x and y directions as show. If the material has compressive strength sigma_c = 2000MPA, at what compressive force Fc will the profile experience failure?
Homework Equations...