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Colorado School of Mines CHEN403 Mathematical Models ...

Colorado School of Mines CHEN403 Mathematical Models John Jechura - 1 - Copyright 2017 April 23, 2017 Setting up the Mathematical Model Review of Heat & Material Balances Topic Summary .. 1 Introduction .. 2 Conservation Equations .. 3 Use of Intrinsic Variables .. 4 Well-Mixed Systems .. 4 Conservation of Total Mass: .. 4 Component Balances .. 5 Energy balance: .. 5 Additional Relationships .. 6 Exceptions to Well-Mixed Process Assumptions .. 8 Processes with Dead Time .. 8 Flow Approximated by Combination of Well-Mixed Blocks .. 8 Examples .. 9 Tank Liquid Level with Flow Through 9 State Variables: .. 9 Total Mass Balance Leads to a Volume Balance: .. 9 Other Tank Geometries .. 10 Right Circular Cone .. 10 Horizontal Cylinder .. 10 Tank flow Change in Inlet Concentration .. 11 Overall & Component Mass Balances.

Colorado School of Mines CHEN403 Mathematical Models John Jechura (jjechura@mines.edu) - 8 - © Copyright 2017 April 23, 2017 Exceptions to Well-Mixed Process Assumptions

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