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GATE 2025 BM – Question 58

Biomechanics · Soft Tissue Mechanics · 2 marks · Numerical answer

For pulsatile flow in an artery of internal diameter 20 mm, wall thickness 1 mm and Young’s modulus 1 MPa, find wave speed in m/s to one decimal place. Blood density is 1050 kg/m³; use the thin-wall wave-speed model.

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Correct answer: 6.8 to 7.0

Explanation

The Moens–Korteweg relation is c=√(Eh/(ρD)). Convert E=10⁶ Pa,h=0.001 m,D=0.020 m. Then c=√[10⁶×0.001/(1050×0.020)]=√(1000/21)≈6.9007 m/s, giving 6.9 m/s.

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