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Question: The cross sectional area of a horizontal tube increases along its length linearly as moved in the di...

The cross sectional area of a horizontal tube increases along its length linearly as moved in the direction of flow. The variation of pressure, as we move along its length in the direction of flow(x-direction), can be best represented by the following graph –

A

(a)

A

(b)

A

(c)

A

(d)

Explanation

Solution

(a)

As Av = k1(constant)

also P + 12\frac{1}{2}rv2 + rgh = k2 (constant)

\ P = k212\frac{1}{2} rk12A2\frac{k_{1}^{2}}{A^{2}}