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solution

The hydraulic model for a flow through an annulus can be obtained using two approaches. The first one is an approximate solution which can be obtained by assuming an equivalent flow through parallel plates. This solution is called the slot approximation and it is reasonably accurate when d1/d2 > 0.3. Where d1 and d2 are the diameters of the inner and outer pipes, respectively. The other alternative is to use the Navier-Stokes equation to obtain the accurate solution.

a. For an annulus with d1/d2 = 0.15, compare the flowrates calculated using both approaches and quantify the deviation encountered in percentage.

b. Discuss what result in the deviation of the flowrates when the approximate solution is used.

Solution:

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