1. KKEK 3152 MODELLING of CHEMICAL PROCESSES

2. Lumped vs Distributed parameter model

3. Lumped parameter model The model is homogeneous and consistent throughout the entire system Model is generally described by ordinary differential equation ◦ Varying only with one independent ◦ Eg: time

4. Example for lumped parameter model Stirred heating tank

5. With the suitable assumption the equation is derived to One independent variable

6. Distributed parameter model The model is heterogeneous and varying state within the system. The model is represented by partial differential equations. ◦ More than one independent variables ◦ Eg: spatial position and time

7. Example for distributed parameter model Shell and tube heat exchanger

8. With derivation and assuming delta t and delta z zero we get: More than one (two) independent variables