Chemical Engineering Hand Written_Notes_Part_4

Chemical Engineering Hand Written_Notes_Part_4 - 10 1....

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10 1. MATHEMATICAL MODELING AND SIMULATION Figure 5. General lumped parameter system + [Amount of S generated within the system] time period -[Amount of S consumed by the system] time period Figure 5 shows schematic diagram of a general system and its interaction with external world. Typical dynamic model equations are as follows Total Mass Balance d ( ρV )= X i : inlet ρ i F i X j : outlet ρ j F j Mass Balance of the component A (2.30) dn a dt = d ( C a V ) dt = X C ai F i X C aj F i + or rV Total energy Balance dE dt = d ( U + K + P ) dt = X ρ i F i h i X ρ j F j h j ± Q ± W S ' dH dt (2.31) i : inlet j : outlet where ρ : density of the material in the system
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2. MECHANISTIC MODELS AND ABSTRACT EQUATION FORMS 11 ρ i : density of the material in the i’th inlet stream ρ j : density of the material in the j’th outlet stream V : Total volume of the system F i : Volumetric f ow rate of the i’th inlet stream F j : Volumetric f ow rate of the j’th outlet stream
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Chemical Engineering Hand Written_Notes_Part_4 - 10 1....

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