problem_set6 - 10.34 Fall 2006 Homework #6 Due Date:...

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10.34 – Fall 2006 Homework #6 Due Date: Wednesday, Oct. 18 th , 2006 – 9 AM Run each problem using the explicit solver ode45 and a stiff implicit solver (ode23s). Compare the time-to-solution, and check whether ode45 gives accurate answers. 1) For a slightly modified chemostat system of Quiz 1, consider what happens at start-up for a couple of different cases. (useful Matlab code is included on the web site ) kN cells [ Nu tr ien ts ] Cell Multiplication = 1 1 + cN u t r i e n t s 1 + dP ( 1 [ ])( []) dN cells = Cell Multiplication Rateat whichcells flowoutof reactor dt 6 Nutrient Cons Rate . = 2 [ Nutrients ] × 1 0 M ) + c ( k N ( 1 Cell Multiplication ) cells 2 kN cells exp d P P production rate = 3 1 + cN u t r i e n t s [ ( [ ] ] ) ) ([ Nutrients ] 0.01 ) 2 ( 1 3 1 1 1 k 1 11 0 M s c 1 = 0 . 1 M k 2 9 1 1 1 2 7 moles cell 1 11 0 moles cell M
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problem_set6 - 10.34 Fall 2006 Homework #6 Due Date:...

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