Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder Calculator

✖The Fluid Yield Stress is defined as the stress that must be applied to the sample before it starts to flow.ⓘ Fluid Yield Stress [ζ_o]			+10% -10%
✖Plastic Viscosity is a result of friction between the liquid undergoing deformation under shear stress and the solids and liquids present.ⓘ Plastic Viscosity [μ_B]			+10% -10%
✖Diameter of Cylinder 1 is the diameter of the first cylinder.ⓘ Diameter of Cylinder 1 [D₁]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖The Coefficient of Volumetric Expansion is the increase in volume per unit original volume per Kelvin rise in temperature.ⓘ Coefficient of Volumetric Expansion [β]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%

✖Bingham Number, abbreviated as Bn, is a dimensionless quantity.ⓘ Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder [B_n]

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Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5)
B_n = (ζ_o/μ_B)*((D₁/(g*β*∆T)))^(0.5)
This formula uses 7 Variables

Variables Used

Bingham Number - Bingham Number, abbreviated as Bn, is a dimensionless quantity.
Fluid Yield Stress - (Measured in Pascal) - The Fluid Yield Stress is defined as the stress that must be applied to the sample before it starts to flow.
Plastic Viscosity - (Measured in Pascal Second) - Plastic Viscosity is a result of friction between the liquid undergoing deformation under shear stress and the solids and liquids present.
Diameter of Cylinder 1 - (Measured in Meter) - Diameter of Cylinder 1 is the diameter of the first cylinder.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Coefficient of Volumetric Expansion - (Measured in Per Kelvin) - The Coefficient of Volumetric Expansion is the increase in volume per unit original volume per Kelvin rise in temperature.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.

STEP 1: Convert Input(s) to Base Unit

Fluid Yield Stress: 1202 Pascal --> 1202 Pascal No Conversion Required
Plastic Viscosity: 10 Pascal Second --> 10 Pascal Second No Conversion Required
Diameter of Cylinder 1: 5 Meter --> 5 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Coefficient of Volumetric Expansion: 3 Per Kelvin --> 3 Per Kelvin No Conversion Required
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_n = (ζ_o/μ_B)*((D₁/(g*β*∆T)))^(0.5) --> (1202/10)*((5/(9.8*3*50)))^(0.5)

Evaluating ... ...

B_n = 7.01020635910805

STEP 3: Convert Result to Output's Unit

7.01020635910805 --> No Conversion Required

FINAL ANSWER

7.01020635910805 ≈ 7.010206 <-- Bingham Number

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Rayleigh and Reynolds Number » Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

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< Rayleigh and Reynolds Number Calculators

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Rayleigh number based on turbulence for concentric spheres

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Reynolds Number given Graetz Number

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Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder Formula

LaTeX Go

What is a Plastic fluid?

A fluid in which the shear force is not proportional to the shear rate (non-Newtonian) requires finite shear stress to start and maintain flow. Most drilling muds are characterized as either plastic or pseudoplastic fluids.

What is Bingham Number?

Bringham number is the ratio of yield stress to viscous stress, describes the extent to which the controllable yield stress can exceed the viscous stress, and is an essential descriptor of Bingham plastic behavior.

How to Calculate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder?

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder calculator uses Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5) to calculate the Bingham Number, The Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder formula is defined as fluid yield stress to plastic viscosity and coefficient of volumetric expansion. Bingham Number is denoted by B_n symbol.

How to calculate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder using this online calculator? To use this online calculator for Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder, enter Fluid Yield Stress (ζ_o), Plastic Viscosity (μ_B), Diameter of Cylinder 1 (D₁), Acceleration due to Gravity (g), Coefficient of Volumetric Expansion (β) & Change in Temperature (∆T) and hit the calculate button. Here is how the Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder calculation can be explained with given input values -> 0.058321 = (1202/10)*((5/(9.8*3*50)))^(0.5).

FAQ

What is Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder?

The Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder formula is defined as fluid yield stress to plastic viscosity and coefficient of volumetric expansion and is represented as B_n = (ζ_o/μ_B)*((D₁/(g*β*∆T)))^(0.5) or Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5). The Fluid Yield Stress is defined as the stress that must be applied to the sample before it starts to flow, Plastic Viscosity is a result of friction between the liquid undergoing deformation under shear stress and the solids and liquids present, Diameter of Cylinder 1 is the diameter of the first cylinder, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, The Coefficient of Volumetric Expansion is the increase in volume per unit original volume per Kelvin rise in temperature & The Change in Temperature is the difference between the initial and final temperature.

How to calculate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder?

The Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder formula is defined as fluid yield stress to plastic viscosity and coefficient of volumetric expansion is calculated using Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5). To calculate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder, you need Fluid Yield Stress (ζ_o), Plastic Viscosity (μ_B), Diameter of Cylinder 1 (D₁), Acceleration due to Gravity (g), Coefficient of Volumetric Expansion (β) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Fluid Yield Stress, Plastic Viscosity, Diameter of Cylinder 1, Acceleration due to Gravity, Coefficient of Volumetric Expansion & Change in Temperature 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 Fluid Yield Stress, Plastic Viscosity, Diameter of Cylinder 1, Acceleration due to Gravity, Coefficient of Volumetric Expansion & Change in Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)

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