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GATE 2022 BM – Question 46

Biomechanics · Soft Tissue Mechanics · 2 marks · Multiple choice

Which relation approximates arterial pulse-wave speed C in terms of inner diameter D, wall thickness t, wall elastic modulus E and fluid density ρ?

  1. $C=\sqrt{Et/(\rho D)}$
  2. $C=\sqrt{\rho D/(Et)}$
  3. $C=\sqrt{\rho D^3t^3/E}$
  4. $C=\sqrt{E\rho/(Dt)}$

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Correct answer: (A) $C=\sqrt{Et/(\rho D)}$

Explanation

The thin-wall Moens–Korteweg relation gives C≈√(Et/(ρD)), A. It predicts faster waves in stiffer or thicker walls and slower waves with greater fluid inertia or vessel diameter. Its units reduce to speed: Et/(ρD) has dimensions length squared over time squared.

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