Inventory

The mass balance equations around a tank, where there are n input flows and o output flows:

The component mass balance equations for a balance around a node are as follows for all components i, where there are n input flows and o output flows:

A state balance for each of each flow j, input, and output is generated and takes this form:

An additional state balance for each tank is generated for the final state of the inventory, which takes the following form:

Where:

Inputj \= mass flow of jth input

Outputj \= mass flow of jth output

xj,i \= fraction of component i in jth input or output

xF,i \= fraction of component i in final inventory

xI,i \= fraction of component i in initial inventory

InventoryF \= final inventory

InventoryI \= initial inventory

N = number of components