Mean Velocity of Blood Calculator

Formula Used:

\[ v = \frac{\mu \times Re}{\rho_{blood} \times D_{artery}} \]

Viscosity of Blood (μ):

Pascal Second

Reynolds Number (Re):

Blood Density (ρ):

kg/m³

Diameter of Artery (D):

Meter

Mean Velocity of Blood (v):

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1. What is Mean Velocity of Blood?

Mean Velocity of Blood is the mean rate of blood flow through a given vessel. Blood flow is the volume of blood flowing through a particular vessel in given interval of time.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \frac{\mu \times Re}{\rho_{blood} \times D_{artery}} \]

Where:

\( v \) — Mean Velocity of Blood (m³/s)
\( \mu \) — Viscosity of Blood (Pascal Second)
\( Re \) — Reynolds Number
\( \rho_{blood} \) — Blood Density (kg/m³)
\( D_{artery} \) — Diameter of Artery (Meter)

Explanation: This formula calculates the mean velocity of blood flow based on blood viscosity, Reynolds number, blood density, and artery diameter.

3. Importance of Mean Velocity Calculation

Details: Calculating mean blood velocity is crucial for understanding hemodynamics, assessing cardiovascular health, and studying blood flow patterns in various vessels.

4. Using the Calculator

Tips: Enter viscosity in Pascal Second, Reynolds number, blood density in kg/m³, and artery diameter in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Reynolds number in blood flow?
A: The Reynolds number is the ratio of inertial forces to viscous forces within blood flow. It helps determine whether blood flow is laminar or turbulent.

Q2: What is typical blood viscosity?
A: Normal blood viscosity ranges from 0.0035 to 0.0045 Pascal Seconds, though it can vary based on hematocrit levels and other factors.

Q3: How does artery diameter affect blood velocity?
A: According to the continuity equation, blood velocity increases as artery diameter decreases to maintain constant flow rate.

Q4: What are normal blood velocity values?
A: Normal blood velocity varies by vessel type: aorta (0.4-1.0 m/s), arteries (0.3-0.5 m/s), capillaries (0.0003-0.001 m/s), and veins (0.1-0.2 m/s).

Q5: Are there limitations to this calculation?
A: This calculation assumes Newtonian fluid behavior and may not account for all complex rheological properties of blood in different flow conditions.