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Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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Bingham Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Bn = (Ssy*Lc)/(υ*v)
This formula uses 4 Variables
Variables Used
Shear Yield Strength - 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. (Measured in Newton per Square Meter)
Characteristic Length - A characteristic length is usually the volume of a system divided by its surface. (Measured in Meter)
Absolute Viscosity - Absolute viscosity is the measurement of the fluid's internal resistance to flow. (Measured in Pascal Second)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Shear Yield Strength: 1 Newton per Square Meter --> 1 Pascal (Check conversion here)
Characteristic Length: 10 Meter --> 10 Meter No Conversion Required
Absolute Viscosity: 0.001 Pascal Second --> 0.001 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
Bn = (Ssy*Lc)/(υ*v) --> (1*10)/(0.001*60)
Evaluating ... ...
Bn = 166.666666666667
STEP 3: Convert Result to Output's Unit
166.666666666667 --> No Conversion Required
FINAL ANSWER
166.666666666667 <-- Bingham Number
(Calculation completed in 00.000 seconds)

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Bingham Number Formula

Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Bn = (Ssy*Lc)/(υ*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 Bn symbol.

How to calculate Bingham Number using this online calculator? To use this online calculator for Bingham Number, enter Shear Yield Strength (Ssy), Characteristic Length (Lc), Absolute Viscosity (υ) & Velocity (v) and hit the calculate button. Here is how the Bingham Number calculation can be explained with given input values -> 166.6667 = (1*10)/(0.001*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 Bn = (Ssy*Lc)/(υ*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, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).
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 (Ssy), Characteristic Length (Lc), Absolute Viscosity (υ) & 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.
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