Dynamic Viscosity Given Velocity of Fluid Calculator

Formula Used:

\[ \mu = \frac{\partial p}{\partial r} \times 0.5 \times \frac{(R^2 - C_H \times R)}{u_{Fluid}} \]

Pressure Gradient (dp|dr):

N/m³

Horizontal Distance (R):

Hydraulic Clearance (C_H):

Fluid Velocity in Pipe (u_Fluid):

m/s

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 and is an important property in fluid dynamics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu = \frac{\partial p}{\partial r} \times 0.5 \times \frac{(R^2 - C_H \times R)}{u_{Fluid}} \]

Where:

\( \mu \) — Dynamic Viscosity (Pa·s)
\( \frac{\partial p}{\partial r} \) — Pressure Gradient (N/m³)
\( R \) — Horizontal Distance (m)
\( C_H \) — Hydraulic Clearance (m)
\( u_{Fluid} \) — Fluid Velocity in Pipe (m/s)

Explanation: This formula calculates the dynamic viscosity of a fluid based on the pressure gradient, horizontal distance, hydraulic clearance, and fluid velocity parameters.

3. Importance of Dynamic Viscosity Calculation

Details: Accurate viscosity calculation is crucial for fluid system design, flow analysis, pump selection, and understanding fluid behavior in various engineering applications.

4. Using the Calculator

Tips: Enter pressure gradient in N/m³, horizontal distance in meters, hydraulic clearance in meters, and fluid velocity in m/s. All values must be positive numbers.

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 the ratio of dynamic viscosity to density.

Q2: What are typical dynamic viscosity values for common fluids?
A: Water at 20°C has about 0.001 Pa·s, while honey can have 2-10 Pa·s, and motor oil ranges from 0.1-0.3 Pa·s.

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

Q4: What are the applications of dynamic viscosity measurement?
A: Used in lubricant selection, pipeline design, food processing, pharmaceutical manufacturing, and many industrial processes involving fluid flow.

Q5: How is dynamic viscosity measured experimentally?
A: Common methods include rotational viscometers, capillary tube viscometers, and falling ball viscometers.