GATE 2026 BM – Question 59
Steady laminar blood flow passes through a tapered circular vessel. At sections A,B, radii are 0.5,0.45 cm. Average speed at A is 1 cm/s. Assuming incompressible blood, find average speed at B in cm/s to one decimal place.
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Correct answer: 1.1 to 1.3
Explanation
Steady incompressible flow preserves volumetric flow rate: πrA²vA=πrB²vB. Thus vB=1×(0.5/0.45)²=100/81≈1.2346 cm/s. Rounded to one decimal place this is 1.2 cm/s.