Dynamic Viscosity Of Fluid Of Laminar Flow Through Conduit Or Hagen Poiseuille Flow Calculator

Formula Used:

\[ \mu = (C \times d_m^2) \times \left( \frac{\gamma / 1000}{K_{H-P}} \right) \]

Shape Factor (C):

Mean Particle Size of the Porous Medium (d_m):

Unit Weight of Fluid (γ):

N/m³

Coefficient of Permeability (K_H-P):

m/s

Dynamic Viscosity of the Fluid (μ):

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1. What is Dynamic Viscosity of Fluid?

Dynamic Viscosity of the Fluid is referred as measure of its resistance to flow when an external force is applied. It plays a crucial role in determining the flow characteristics of fluids through porous media and conduits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \mu = (C \times d_m^2) \times \left( \frac{\gamma / 1000}{K_{H-P}} \right) \]

Where:

\( \mu \) — Dynamic Viscosity of the Fluid (Pa·s)
\( C \) — Shape Factor (-)
\( d_m \) — Mean Particle Size of the Porous Medium (m)
\( \gamma \) — Unit Weight of Fluid (N/m³)
\( K_{H-P} \) — Coefficient of Permeability (Hagen-Poiseuille) (m/s)

Explanation: The formula calculates dynamic viscosity based on porous medium characteristics and fluid properties, incorporating the Hagen-Poiseuille flow principles.

3. Importance of Dynamic Viscosity Calculation

Details: Accurate viscosity calculation is essential for understanding fluid flow behavior in porous media, designing filtration systems, and analyzing hydraulic conductivity in various engineering applications.

4. Using the Calculator

Tips: Enter all values in appropriate units. Shape factor and mean particle size characterize the porous medium, while unit weight and permeability coefficient describe fluid properties and flow conditions.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for dynamic viscosity values?
A: Dynamic viscosity varies widely depending on the fluid. Water at 20°C has approximately 0.001 Pa·s, while honey can have viscosity values around 10 Pa·s.

Q2: How does temperature affect dynamic viscosity?
A: For liquids, viscosity typically decreases with increasing temperature, while for gases, viscosity generally increases with temperature.

Q3: What factors influence the shape factor in porous media?
A: The shape factor depends on porosity, packing arrangement, grain shape, and grain-size distribution of the porous medium.

Q4: When is Hagen-Poiseuille flow applicable?
A: Hagen-Poiseuille flow describes laminar flow through cylindrical pipes and is applicable when flow is steady, incompressible, and fully developed.

Q5: What are the limitations of this calculation method?
A: This approach assumes ideal conditions and may not account for complex fluid behaviors, non-Newtonian fluids, or irregular pore geometries in real-world applications.