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GATE 2021 BM – Question 57

Biomechanics · Soft Tissue Mechanics · 2 marks · Numerical answer

A renal artery has lumen diameter 5 mm and mean blood speed 40 cm/s. Blood density is 1060 kg/m³ and viscosity 3 cP. Find Reynolds number to the nearest integer.

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Correct answer: 700 to 710

Explanation

Use Re=ρvD/μ with all values in SI: v=.4 m/s,D=.005 m,μ=.003 Pa s. Thus Re=1060×.4×.005/.003=706.6667, rounded to 707. The centipoise-to-pascal-second conversion is essential.

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