# Difference between revisions of "Isothermal reactor design - 2013"

Class date(s): 04 February to 14 February

• F2011: Chapter 5 and 6
• F2006: Chapter 4

### 07 February 2013 (05C)

to see the effect on pressure drop in the packed bed.

### 25 February 2013 (07A)

The example covered in class is based on example 4-8 in F2006 and example 6-2 in F2011. <rst> The 3 ODE's are:

.. math::

\dfrac{dF_A}{dV} &= r_A\\ \dfrac{dF_B}{dV} &= r_B - R_B \\ \dfrac{dF_C}{dV} &= r_C

where :math:-r_A = r_B = r_C and :math:-r_A = k\left(C_A - \dfrac{C_B C_C}{K_C} \right), and :math:R_B = k_\text{diff}C_B.

• :math:k = 0.01\,\text{s}^{-1}
• :math:k_\text{diff} = 0.005\,\text{s}^{-1}
• :math:K_C = 50\,\text{mol.m}^{-3}

We derived earlier in the course that

.. math:: C_A = C_\text{TO}\left(\dfrac{F_A}{F_T}\right)\left(\dfrac{P}{P_0}\right)\left(\dfrac{T_0}{T}\right)

Assuming isothermal and isobaric conditions in the membrane:

.. math:: C_A = C_\text{T0}\left(\dfrac{F_A}{F_T}\right)

where :math:F_T = F_A + F_B + F_C and :math:C_\text{T0} = \dfrac{P_0}{RT_0}

Using all of the above derivations, we can set up our numerical integration. </rst>

MATLAB Python

In a file called membrane.m:

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