Sunday, October 31, 2010

PROCESSES MODELLED AS FIRST-ORDER SYSTEMS(The first-order processes are characterization and examples)

PROCESSES MODELLED AS FIRST-ORDER SYSTEMS

The first-order processes are characterized by:

(a) their capacity to store material, energy or momentum, and

(b) the resistance associated with the flow of mass, energy or momentum in reaching the capacity.

Thus, the dynamic response of tanks which have the capacity to store liquids or gases can be modeled as

first-order. The resistance is associated with the pumps, valves, weirs, pipes which are attached to the

inflowing or outflowing liquids or gases. Similarly, the response of solid, liquid, or gaseous systems

which can store thermal energy (thermal capacity, cp) is modeled as first-order.



For such systems the resistance is associated with the transfer of heat through walls, liquids or gases. In

other words, a process which possesses a capacity to store mass or energy and thus act as a buffer

between inflowing and outflowing streams will be modeled as a first-order system.

The stirred tank heater  and the mixing processes , are typical examples of first-order processes.

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