Bingham Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Bn = (Ssy*Lc)/(μ*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
Bn = (Ssy*Lc)/(μ*v) --> (4.25*9.9)/(0.1*60)
Evaluating ... ...
Bn = 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)

Credits

Created by Prasana Kannan
Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
Prasana Kannan has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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20 Dimensionless groups Calculators

Bingham Number
Go Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Viscous force given grashofs number
Go Viscous Force = sqrt((Buoyant Force*Inertia Force)/Grashof Number)
Eckert Number
Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)
Stanton number given Nusselt number and other dimensionless groups
Go Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
Nusselt number given Stanton number and other dimensionless groups
Go Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number
Buoyant force given grashof number
Go Buoyant Force = Grashof Number*(Viscous Force^2)/Inertia Force
Internal conduction resistance given biot number
Go Internal Conduction Resistance = Biot Number*Surface Convection Resistance
Surface convection resistance
Go Surface Convection Resistance = Internal Conduction Resistance/Biot Number
Stanton number for convection
Go Stanton Number = Wall heat transfer rate/Heat Transfer by Convection
Modified Rayleigh number given Bingham number
Go Modified Rayleigh Number = Rayleigh Number/(1+Bingham Number)
Heat diffusivity given Lewis number
Go Heat Diffusivity = Lewis Number*Mass Diffusivity
Rayleigh Number
Go Rayleigh Number = Grashof Number*Prandtl Number
Reynolds number given Peclet number
Go Reynolds Number = Peclet Number/Prandtl Number
Prandtl number given Peclet number
Go Prandtl Number = Peclet Number/Reynolds Number
Reynolds number given Inertia and Viscous Force
Go Reynolds Number = Inertia Force/Viscous Force
Viscous force given Reynolds number
Go Viscous Force = Inertia Force/Reynolds Number
Pressure force given Euler number
Go Pressure Force = Euler Number*Inertia Force
Gravity force given Froude number
Go Gravity Force = Inertia Force/Froude Number
Froude Number
Go Froude Number = Inertia Force/Gravity Force
Euler Number
Go Euler Number = Pressure Force/Inertia Force

Bingham Number Formula

Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)
Bn = (Ssy*Lc)/(μ*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 (μ) & Velocity (v) and hit the calculate button. Here is how the Bingham Number calculation can be explained with given input values -> 701.25 = (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 Bn = (Ssy*Lc)/(μ*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 (Ssy), Characteristic Length (Lc), Absolute Viscosity (μ) & 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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