Difference between revisions of "User:Kevindunn"

Revision as of 19:44, 15 November 2010

Contact details

I don't have an office on campus. The best way to contact me is by email:

dunnkg@mcmaster.ca (preferred)
kevin.dunn@connectmv.com (alternate)

</rst>

@@ Line 10: / Line 10: @@
 <rst-options: 'reset-figures' = False/>
-.. math::
-			y_F &= 0.5\\
-			\frac{1}{\beta} y_F - (\delta+1)x_1 + \delta x_2 &= 0 \\
-			x_1  - (\delta+1)x_2 + \delta x_3 &= 0 \\
-			x_2  - (\delta+1)x_3 + \delta x_F &= 0 \\
-			x_F &= 0.1
-where :math:`\beta` is a coefficient, assumed constant throughout the absorber tower, that relates the liquid phase composition, :math:`x_n`, to the gas-phase composition, :math:`y_n = \beta x_n`, assuming of course that equilibrium is achieved in each stage.
-The :math:`\delta` coefficient is a dimensionless number defined as a function of the molar gas and liquid flows in the column, and :math:`\beta`, so that :math:`\delta = \displaystyle \frac{L}{G \beta}`
-**5.1**	Write the given steady-state equations in the form :math:`A{\bf x} = b` where :math:`{\bf x} = \left[y_F, x_1, x_2, x_3, x_F\right]`.  Report the :math:`A` matrix and :math:`b` vector.
-**5.2**	What condition(s) must be satisfied so that matrix :math:`A` is diagonally dominant?
-**5.3**	You decide to use the Gauss-Seidel method to solve this system of equations.  Also, you are given that :math:`L/G = 1.5`, and :math:`\beta = 0.8`.  Is this method guaranteed to converge for these coefficient values?
-**5.4**	Perform one iteration of the Gauss-Seidel method, starting from a suitable initial guess that you believe will converge in fewer iterations than simply using the default guess of :math:`{\bf x} = \left[y_F, x_1, x_2, x_3, x_F\right] = [0, 0, 0, 0, 0]`.  Use :math:`L/G = 1.5`, and :math:`\beta = 0.8` in your matrix, and briefly explain your choice for the initial guess.
 </rst>

Difference between revisions of "User:Kevindunn"

Revision as of 19:44, 15 November 2010

Navigation menu

Search