The Nonisothermal Case a Battery of CSTRs

The above equation is identical to equation (6.129) that was obtained earlier by subtracting the two differential equations (6.124) and (6.126) and integrating the resulting DE. 

Rewrite the code quadnonequicol. m to run in O(N) time as detailed on p. 376. To achieve this fast operations count, you need to implement all matrix times matrix or matrix times vector products in O(N) time by recognizing the sparsity of the matrices Df x, Dfiy, Dfyx, and D/2y that make up Df(z0id). 

Derive the design equations for multi-tray absorption towers taking into account the change of the liquid and vapor flow rates L and V due to absorption. 

Develop a numerical algorithm for solving problem 2 above. Use one set of parameters from this section in order to find out the effect of changing L and 

Repeat problems 2 and 3 above for a packed bed absorption tower. 

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In order to reduce the disparities in volume or space time requirements between an individual CSTR and a plug flow reactor, batteries or cascades of stirred tank reactors ard employed. These reactor networks consist of a number of stirred tank reactors confiected in series with the effluent from one reactor serving as the input to the next. Although the concentration is uniform within any one reactor, there is a progressive decrease in reactant concentration as ohe moves from the initial tank to the final tank in the cascade. In effect one has stepwise variations in composition as he moves from onfe CSTR to another. Figure 8.9 illustrates the stepwise variations typical of reactor cascades for different numbers of CSTR s in series. In the general nonisothermal case one will also en-... 

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