Water flows through a horizontal tube of variable cross section (figure 13-E7). The area of cross section at A and B are 4 mm² and 2 mm² respectively. If 1 cc of water enters per second through A, find (a) the speed of water at A, (b) the speed of
water at B and (c) the pressure difference P_A – P_B.

Question

Philoid · Accepted Answer

Given, area of cross-section of tube A,

area of cross-section of tube B,

Volume of water entering A,

(a)The total volume is equal to area times velocity. Let the velocity in tube A be

(b) Let the velocity in tube B be

As the flow is steady,

(c)From Bernoulli equation we have,