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Unformatted text preview: 10.34, Numerical Methods Applied to Chemical Engineering Professor William H. Green Lecture #35: Problem Solving Summary and Review. Problem Solving Well-Posed Problems In reality, you define the problem Example: At Exxon, Professor Green was told that the lubricant gums up in the engine. Had to take ill-posed problem and transform to a well-posed problem. Could solve kinetics Could solve thermodynamics RECOGNIZE WHAT TYPE OF PROBLEM Rewrite equations in standard form Algebraic equations o Linear o Non-linear Differential eq uations o ODE Initial Value Problems Boundary Value Problems o PDE Optimization Stochastic Simulations Estimate SOLUTION REALITY CHECK! Set constraints for optimization (i.e. least-squares) Good initial guess At least think about UNITS! Write some MATLAB Run Computer SOLUTION (OR) Error or warning message Check if solution works!!...
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.
- Fall '04