Bingham Number Calculator

Bingham Number Formula:

\[ Bn = \frac{Ssy \times Lc}{\mu a \times v} \]

Shear Yield Strength (Ssy):

Pascal

Characteristic Length (Lc):

Meter

Absolute Viscosity (μa):

Pascal Second

Velocity (v):

Meter per Second

Bingham Number (Bn):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Bingham Number?

The Bingham Number, abbreviated as Bn, is a dimensionless quantity used in fluid mechanics to characterize the flow of Bingham plastic fluids. It represents the ratio of yield stress to viscous stress in the fluid.

2. How Does the Calculator Work?

The calculator uses the Bingham Number formula:

\[ Bn = \frac{Ssy \times Lc}{\mu a \times v} \]

Where:

\( Ssy \) — Shear Yield Strength (Pascal)
\( Lc \) — Characteristic Length (Meter)
\( \mu a \) — Absolute Viscosity (Pascal Second)
\( v \) — Velocity (Meter per Second)

Explanation: The Bingham Number quantifies the relative importance of yield stress effects compared to viscous effects in non-Newtonian fluid flow.

3. Importance of Bingham Number Calculation

Details: The Bingham Number is crucial for analyzing and predicting the flow behavior of yield-stress fluids such as drilling muds, toothpaste, certain paints, and food products like ketchup and mayonnaise.

4. Using the Calculator

Tips: Enter all values in the appropriate units. Shear Yield Strength and Absolute Viscosity should be in Pascals and Pascal Seconds respectively. Characteristic Length and Velocity should be in Meters and Meters per Second respectively. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a Bingham plastic fluid?
A: A Bingham plastic fluid is a non-Newtonian fluid that behaves as a rigid body at low stresses but flows as a viscous fluid at high stresses.

Q2: What are typical applications of Bingham Number?
A: Bingham Number is used in petroleum engineering, food processing, cosmetics manufacturing, and any industry dealing with yield-stress fluids.

Q3: How does Bingham Number relate to Reynolds Number?
A: While Reynolds Number characterizes inertial vs viscous forces, Bingham Number characterizes yield stress vs viscous forces in non-Newtonian fluids.

Q4: What values indicate significant yield stress effects?
A: Higher Bingham Numbers indicate stronger yield stress effects relative to viscous effects in the fluid flow.

Q5: Can this calculator be used for all fluids?
A: This calculator is specifically designed for Bingham plastic fluids and may not be appropriate for other types of non-Newtonian fluids.