T2 T1 Stream 1 Stream 2 w2 w1 T3 Stream 3 w3
A perfectly stirred, constant-volume tank has two inputstreams, both consisting of the same liquid. The temperature and flow rate of each of the streams can vary with time.(a)Derive a dynamic model that will describe transient oper-ation. Make a degrees of freedom analysis assuming that bothStreams 1 and 2 come from upstream units (i.e., their flow ratesand temperatures are known functions of time).(b)Simplify your model, if possible, to one or more differ-ential equations by eliminating any algebraic equations. Also,simplify any derivatives of products of variables.wi denotes mass flow rate for stream i.Liquid properties are constant (not functions of temperature).
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