Valvular Pressure Drop: Blood flow velocities across a calcified aortic valve are ₁ = 0.25 m/s in the left ventricle and u₂ = 1 m/s in the aorta. Assuming a blood density of 1060 kg/m³, find the following: a. What is the estimated pressure drop across the valve in mmHg using Bernoulli's equation? (Neglect potential energy differences.) b. What is the estimated pressure drop across the valve using the clinical approximation of Ap 4u3? (In the clinical approximation, Ap is in mmHg and u is in m/s.) c. Compare values and compute the % error in the clinical approximation. 2

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Valvular Pressure Drop: Blood flow velocities across a calcified aortic valve are u₁ =
0.25 m/s in the left ventricle and u₂ = 1 m/s in the aorta. Assuming a blood density
uz
of 1060 kg/m³, find the following:
a. What is the estimated pressure drop across the valve in mmHg using Bernoulli's
equation? (Neglect potential energy differences.)
b. What is the estimated pressure drop across the valve using the clinical
approximation of Ap≈ 4u3? (In the clinical approximation, Ap is in mmHg and u
is in m/s.)
c. Compare values and compute the % error in the clinical approximation.
Transcribed Image Text:Valvular Pressure Drop: Blood flow velocities across a calcified aortic valve are u₁ = 0.25 m/s in the left ventricle and u₂ = 1 m/s in the aorta. Assuming a blood density uz of 1060 kg/m³, find the following: a. What is the estimated pressure drop across the valve in mmHg using Bernoulli's equation? (Neglect potential energy differences.) b. What is the estimated pressure drop across the valve using the clinical approximation of Ap≈ 4u3? (In the clinical approximation, Ap is in mmHg and u is in m/s.) c. Compare values and compute the % error in the clinical approximation.
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