Modified Prandtl number given Bingham number Calculator

✖The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%
✖Bingham Number, abbreviated as Bn, is a dimensionless quantity.ⓘ Bingham Number [B_n]			+10% -10%

✖The Modified Prandtl number in the convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Modified Prandtl number given Bingham number [Pr^*]

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Formula

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Modified Prandtl number given Bingham number

Formula

`"Pr"^{"*"} = "Pr"*(1+"B"_{"n"}) `

Example

`"8.33"= "0.7"*(1+"10.9") `

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Modified Prandtl number given Bingham number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modified Prandtl Number = Prandtl Number*(1+Bingham Number)
Pr^* = Pr*(1+B_n)
This formula uses 3 Variables

Variables Used

Modified Prandtl Number - The Modified Prandtl number in the convection formula is defined as the ratio of momentum diffusivity to thermal diffusivity.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
Bingham Number - Bingham Number, abbreviated as Bn, is a dimensionless quantity.

STEP 1: Convert Input(s) to Base Unit

Prandtl Number: 0.7 --> No Conversion Required
Bingham Number: 10.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr^* = Pr*(1+B_n) --> 0.7*(1+10.9)

Evaluating ... ...

Pr^* = 8.33

STEP 3: Convert Result to Output's Unit

8.33 --> No Conversion Required

FINAL ANSWER

8.33 <-- Modified Prandtl 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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< 7 Prandtl and Peclet Number Calculators

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Go Prandtl Number = Nusselt Number/(Stanton Number*Reynolds Number)

Prandtl number in convection

Go Prandtl Number = Molecular Diffusivity of Momentum/Molecular Diffusivity of Heat

Turbulent Prandtl Number

Go Turbulent Prandtl Number = Turbulent eddy viscosity/Eddy Diffusivity

Modified Prandtl number given Bingham number

Go Modified Prandtl Number = Prandtl Number*(1+Bingham Number)

Peclet Number given Schmidt Number

Go Peclet Number = (Reynolds Number*Schmidt Number)

Prandtl number given Rayleigh number

Go Prandtl Number = Rayleigh Number/Grashof Number

Peclet number given Reynolds number

Go Peclet Number = Reynolds Number*Prandtl Number

Modified Prandtl number given Bingham number Formula

Modified Prandtl Number = Prandtl Number*(1+Bingham Number)
Pr^* = Pr*(1+B_n)

What is Prandtl Number?

Prandtl number is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

what is Bingham Number?

The Bingham number, which is the ratio of yield stress to viscous stress, describes the extent to which the controllable yield stress can exceed the viscous stress (typically Bi ≫ 1 ), and is an essential descriptor of Bingham plastic behavior.

How to Calculate Modified Prandtl number given Bingham number?

Modified Prandtl number given Bingham number calculator uses Modified Prandtl Number = Prandtl Number*(1+Bingham Number) to calculate the Modified Prandtl Number, Modified Prandtl number given Bingham number formula is defined as the ratio of momentum diffusivity to thermal diffusivity but in terms of Bingham number. Modified Prandtl Number is denoted by Pr^* symbol.

How to calculate Modified Prandtl number given Bingham number using this online calculator? To use this online calculator for Modified Prandtl number given Bingham number, enter Prandtl Number (Pr) & Bingham Number (B_n) and hit the calculate button. Here is how the Modified Prandtl number given Bingham number calculation can be explained with given input values -> 7.7 = 0.7*(1+10.9) .

FAQ

What is Modified Prandtl number given Bingham number?

Modified Prandtl number given Bingham number formula is defined as the ratio of momentum diffusivity to thermal diffusivity but in terms of Bingham number and is represented as Pr^* = Pr*(1+B_n) or Modified Prandtl Number = Prandtl Number*(1+Bingham Number). The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity & Bingham Number, abbreviated as Bn, is a dimensionless quantity.

How to calculate Modified Prandtl number given Bingham number?

Modified Prandtl number given Bingham number formula is defined as the ratio of momentum diffusivity to thermal diffusivity but in terms of Bingham number is calculated using Modified Prandtl Number = Prandtl Number*(1+Bingham Number). To calculate Modified Prandtl number given Bingham number, you need Prandtl Number (Pr) & Bingham Number (B_n). With our tool, you need to enter the respective value for Prandtl Number & Bingham Number 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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