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+Bn)
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 - Prandtl Number 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 is a dimensionless number used in fluid dynamics to characterize the flow behavior of Bingham plastics, which are fluids that behave as a solid until a certain yield stress is exceeded.
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+Bn) --> 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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National Institute Of Technology (NIT), Hamirpur
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Modified Prandtl number given Bingham number Formula

​LaTeX ​Go
Modified Prandtl Number = Prandtl Number*(1+Bingham Number)
Pr' = Pr*(1+Bn)

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 (Bn) and hit the calculate button. Here is how the Modified Prandtl number given Bingham number calculation can be explained with given input values -> 8.33 = 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+Bn) or Modified Prandtl Number = Prandtl Number*(1+Bingham Number). Prandtl Number 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 is a dimensionless number used in fluid dynamics to characterize the flow behavior of Bingham plastics, which are fluids that behave as a solid until a certain yield stress is exceeded.
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 (Bn). 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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