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

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Bingham Number, abbreviated as Bn, is a dimensionless quantity. Check FAQs

B n = (\frac{ζ o}{μ B}) \cdot {((\frac{D 1}{g \cdot β \cdot ∆T}))}^{0.5}

B_n - Bingham Number?ζ_o - Fluid Yield Stress?μ_B - Plastic Viscosity?D₁ - Diameter of Cylinder 1?g - Acceleration due to Gravity?β - Coefficient of Volumetric Expansion?∆T - Change in Temperature?

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

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Here is how the Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder equation looks like with Values.

Here is how the Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder equation looks like with Units.

Here is how the Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder equation looks like.

7.0102 = (\frac{1202}{10}) \cdot {((\frac{5}{9.8 \cdot 3 \cdot 50}))}^{0.5}

7.0102 = (\frac{1202Pa}{10Pa*s}) \cdot {((\frac{5m}{9.8m/s² \cdot 3K⁻¹ \cdot 50K}))}^{0.5}

7.0102 = (\frac{1202}{10}) \cdot {((\frac{5}{9.8 \cdot 3 \cdot 50}))}^{0.5}

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

Follow our step by step solution on how to calculate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder?

FIRST Step Consider the formula

B n = (\frac{ζ o}{μ B}) \cdot {((\frac{D 1}{g \cdot β \cdot ∆T}))}^{0.5}

Next Step Substitute values of Variables

∴

B n = (\frac{1202Pa}{10Pa*s}) \cdot {((\frac{5m}{9.8m/s² \cdot 3K⁻¹ \cdot 50K}))}^{0.5}

Next Step Prepare to Evaluate

∴

B n = (\frac{1202}{10}) \cdot {((\frac{5}{9.8 \cdot 3 \cdot 50}))}^{0.5}

Next Step Evaluate

∴

B n = 7.01020635910805

LAST Step Rounding Answer

∴

B n = 7.0102

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

Variables

Bingham Number

Bingham Number, abbreviated as Bn, is a dimensionless quantity.

Symbol: B_n

Measurement: NAUnit: Unitless

Note: Value should be less than 101.

Formulas to find Bingham Number

Open Variable

Fluid Yield Stress

The Fluid Yield Stress is defined as the stress that must be applied to the sample before it starts to flow.

Symbol: ζ_o

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Fluid Yield Stress

Open Variable

Plastic Viscosity

Plastic Viscosity is a result of friction between the liquid undergoing deformation under shear stress and the solids and liquids present.

Symbol: μ_B

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Plastic Viscosity

Open Variable

Diameter of Cylinder 1

Diameter of Cylinder 1 is the diameter of the first cylinder.

Symbol: D₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Cylinder 1

Open Variable

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Open Variable

Coefficient of Volumetric Expansion

The Coefficient of Volumetric Expansion is the increase in volume per unit original volume per Kelvin rise in temperature.

Symbol: β

Measurement: Coefficient of Linear ExpansionUnit: K⁻¹

Note: Value should be greater than 0.

Formulas to find Coefficient of Volumetric Expansion

Open Variable

Change in Temperature

The Change in Temperature is the difference between the initial and final temperature.

Symbol: ∆T

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Change in Temperature

Open Variable

Other Formulas to find Bingham Number

Go Bingham Number

B n = \frac{S sy \cdot L c}{μ a \cdot v}

Other formulas in Rayleigh and Reynolds Number category

Go Rayleigh number based on turbulence for annular space between concentric cylinders

Ra c = (\frac{({(\ln (\frac{d o}{d i}))}^{4}) \cdot (Ra l)}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}})

Go Rayleigh number based on length for annular space between concentric cylinders

Ra l = \frac{Ra c}{\frac{({(\ln (\frac{d o}{d i}))}^{4})}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}}}

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

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder evaluator 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 evaluate 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 evaluate Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder using this online evaluator? To use this online evaluator 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.

FAQs on Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

What is the formula to find Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder?

The formula of Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder is expressed as Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5). Here is an example- 0.058321 = (1202/10)*((5/(9.8*3*50)))^(0.5).

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

With 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) we can find Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder using the formula - Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5).

What are the other ways to Calculate Bingham Number?

Here are the different ways to Calculate Bingham Number-

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

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