Bingham Number Calculator

✖Shear Yield Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.ⓘ Shear Yield Strength [S_sy]			+10% -10%
✖A characteristic Length is usually the volume of a system divided by its surface.ⓘ Characteristic Length [L_c]			+10% -10%
✖Absolute Viscosity is the measurement of the fluid's internal resistance to flow.ⓘ Absolute Viscosity [μ_a]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%

✖Bingham Number, abbreviated as Bn, is a dimensionless quantity.ⓘ Bingham Number [B_n]

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Bingham Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
B_n = (S_sy*L_c)/(μ_a*v)
This formula uses 5 Variables

Variables Used

Bingham Number - Bingham Number, abbreviated as Bn, is a dimensionless quantity.
Shear Yield Strength - (Measured in Pascal) - Shear Yield Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.
Characteristic Length - (Measured in Meter) - A characteristic Length is usually the volume of a system divided by its surface.
Absolute Viscosity - (Measured in Pascal Second) - Absolute Viscosity is the measurement of the fluid's internal resistance to flow.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

STEP 1: Convert Input(s) to Base Unit

Shear Yield Strength: 4.25 Newton per Square Meter --> 4.25 Pascal (Check conversion here)
Characteristic Length: 9.9 Meter --> 9.9 Meter No Conversion Required
Absolute Viscosity: 0.1 Pascal Second --> 0.1 Pascal Second No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_n = (S_sy*L_c)/(μ_a*v) --> (4.25*9.9)/(0.1*60)

Evaluating ... ...

B_n = 7.0125

STEP 3: Convert Result to Output's Unit

7.0125 --> No Conversion Required

FINAL ANSWER

7.0125 <-- Bingham Number

(Calculation completed in 00.004 seconds)

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Created by Prasana Kannan

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai

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< Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

LaTeX Go Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on length for annular space between concentric cylinders

LaTeX Go Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on turbulence for concentric spheres

LaTeX Go Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25

Reynolds Number given Graetz Number

LaTeX Go Reynolds Number Based on Length = Graetz Number*Length/(Prandtl Number*Diameter)

Bingham Number Formula

LaTeX Go

Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
B_n = (S_sy*L_c)/(μ_a*v)

What is yield strength?

Yield strength can be defined as follows, a straight line is constructed parallel to the elastic portion of the stress-strain curve at a strain offset of 0.002. Yield strength refers to an indication of maximum stress that can be developed in a material without causing plastic deformation. It is the stress at which a material exhibits a specified permanent deformation and is a practical approximation of the elastic limit.

What is meant by characteristic length?

Characteristic length is a dimension used in physics that defines the scale of a physical system. The length is used in 2D and 3D systems for Fluid Dynamics and Thermodynamics defining the parameter of the system. It is usually required by the construction of a dimensionless quantity, in the general framework of dimensionless analysis.

How to Calculate Bingham Number?

Bingham Number calculator uses Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity) to calculate the Bingham Number, The Bingham Number formula is defined as the ratio of yield stress to viscous stress. Bingham Number is denoted by B_n symbol.

How to calculate Bingham Number using this online calculator? To use this online calculator for Bingham Number, enter Shear Yield Strength (S_sy), Characteristic Length (L_c), Absolute Viscosity (μ_a) & Velocity (v) and hit the calculate button. Here is how the Bingham Number calculation can be explained with given input values -> 7.0125 = (4.25*9.9)/(0.1*60).

FAQ

What is Bingham Number?

The Bingham Number formula is defined as the ratio of yield stress to viscous stress and is represented as B_n = (S_sy*L_c)/(μ_a*v) or Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity). Shear Yield Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear, A characteristic Length is usually the volume of a system divided by its surface, Absolute Viscosity is the measurement of the fluid's internal resistance to flow & Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

How to calculate Bingham Number?

The Bingham Number formula is defined as the ratio of yield stress to viscous stress is calculated using Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity). To calculate Bingham Number, you need Shear Yield Strength (S_sy), Characteristic Length (L_c), Absolute Viscosity (μ_a) & Velocity (v). With our tool, you need to enter the respective value for Shear Yield Strength, Characteristic Length, Absolute Viscosity & Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bingham Number?

In this formula, Bingham Number uses Shear Yield Strength, Characteristic Length, Absolute Viscosity & Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5)

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