Dynamic Viscosity Using Velocity Distribution Profile Calculator

Formula Used:

\[ \mu = \frac{1}{2v} \cdot \frac{dp}{dr} \cdot (w \cdot R^2) \]

Velocity of Liquid (v):

m/s

Pressure Gradient (dp/dr):

N/m³

Width (w):

Horizontal Distance (R):

Dynamic Viscosity (μ):

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1. What is Dynamic Viscosity?

Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied. It is a measure of a fluid's resistance to shear or flow under an applied force and is an important property in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu = \frac{1}{2v} \cdot \frac{dp}{dr} \cdot (w \cdot R^2) \]

Where:

\( \mu \) — Dynamic Viscosity (Pa·s)
\( v \) — Velocity of Liquid (m/s)
\( \frac{dp}{dr} \) — Pressure Gradient (N/m³)
\( w \) — Width (m)
\( R \) — Horizontal Distance (m)

Explanation: This formula calculates dynamic viscosity based on velocity distribution profile parameters including liquid velocity, pressure gradient, width, and horizontal distance.

3. Importance of Dynamic Viscosity Calculation

Details: Accurate viscosity calculation is crucial for understanding fluid behavior in various applications including pipeline design, lubrication systems, chemical processing, and biomedical engineering.

4. Using the Calculator

Tips: Enter velocity in m/s, pressure gradient in N/m³, width in meters, and horizontal distance in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between dynamic and kinematic viscosity?
A: Dynamic viscosity measures a fluid's internal resistance to flow, while kinematic viscosity is dynamic viscosity divided by density and relates to how quickly momentum diffuses through the fluid.

Q2: What are typical dynamic viscosity values?
A: Water at 20°C has a viscosity of about 0.001 Pa·s, while honey has about 10 Pa·s, and air has about 0.000018 Pa·s.

Q3: How does temperature affect viscosity?
A: For liquids, viscosity typically decreases with increasing temperature, while for gases, viscosity increases with temperature.

Q4: What are the limitations of this calculation method?
A: This method assumes Newtonian fluid behavior and may not be accurate for non-Newtonian fluids or under extreme conditions.

Q5: How is dynamic viscosity measured experimentally?
A: Common methods include rotational viscometers, capillary viscometers, and falling ball viscometers, each suitable for different viscosity ranges.