Modified Rayleigh number given Bingham number Calculator

✖Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.ⓘ Rayleigh Number(t) [Ra_c]			+10% -10%
✖Bingham Number, abbreviated as Bn, is a dimensionless quantity.ⓘ Bingham Number [B_n]			+10% -10%

✖Modified Rayleigh Number is a dimensionless number associated with buoyancy-driven flow, also known as free or natural convection.ⓘ Modified Rayleigh number given Bingham number [Ra']

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Rayleigh and Reynolds Number Formulas PDF PDF Image

Modified Rayleigh number given Bingham number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modified Rayleigh Number = Rayleigh Number(t)/(1+Bingham Number)
Ra' = Ra_c/(1+B_n)
This formula uses 3 Variables

Variables Used

Modified Rayleigh Number - Modified Rayleigh Number is a dimensionless number associated with buoyancy-driven flow, also known as free or natural convection.
Rayleigh Number(t) - Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom.
Bingham Number - Bingham Number, abbreviated as Bn, is a dimensionless quantity.

STEP 1: Convert Input(s) to Base Unit

Rayleigh Number(t): 0.075 --> No Conversion Required
Bingham Number: 7.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ra' = Ra_c/(1+B_n) --> 0.075/(1+7.01)

Evaluating ... ...

Ra' = 0.00936329588014981

STEP 3: Convert Result to Output's Unit

0.00936329588014981 --> No Conversion Required

FINAL ANSWER

0.00936329588014981 ≈ 0.009363 <-- Modified Rayleigh Number

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Heat and Mass Transfer » Convection » Free convection » Mechanical » Rayleigh and Reynolds Number » Modified Rayleigh number given Bingham number

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Rayleigh and Reynolds Number Calculators

Rayleigh number based on turbulence for annular space between concentric cylinders

LaTeX Go Rayleigh Number(t) = ((((ln(Outer Diameter/Inner Diameter))^4)*(Rayleigh Number))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on length for annular space between concentric cylinders

LaTeX Go Rayleigh Number = Rayleigh Number(t)/((((ln(Outer Diameter/Inner Diameter))^4))/((Length^3)*((Inner Diameter^-0.6)+(Outer Diameter^-0.6))^5))

Rayleigh number based on turbulence for concentric spheres

LaTeX Go Rayleigh Number(t) = ((Length*Rayleigh Number)/(((Inside Diameter*Outside Diameter)^4)*(((Inside Diameter^-1.4)+(Outside Diameter^-1.4))^5)))^0.25

Reynolds Number given Graetz Number

LaTeX Go Reynolds Number Based on Length = Graetz Number*Length/(Prandtl Number*Diameter)

Modified Rayleigh number given Bingham number Formula

LaTeX Go

Modified Rayleigh Number = Rayleigh Number(t)/(1+Bingham Number)
Ra' = Ra_c/(1+B_n)

What is Rayleigh Number?

Rayleigh number is a dimensionless number that represents the ratio of buoyancy and thermal diffusivity. The difference between solid surface temperature and free stream temperature can be used as the characteristic temperature difference.

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 Rayleigh number given Bingham number?

Modified Rayleigh number given Bingham number calculator uses Modified Rayleigh Number = Rayleigh Number(t)/(1+Bingham Number) to calculate the Modified Rayleigh Number, Modified Rayleigh number given Bingham number formula is defined as a dimensionless number that represents the ratio of buoyancy and thermal diffusivity but in terms of Bingham number. Modified Rayleigh Number is denoted by Ra' symbol.

How to calculate Modified Rayleigh number given Bingham number using this online calculator? To use this online calculator for Modified Rayleigh number given Bingham number, enter Rayleigh Number(t) (Ra_c) & Bingham Number (B_n) and hit the calculate button. Here is how the Modified Rayleigh number given Bingham number calculation can be explained with given input values -> 0.074906 = 0.075/(1+7.01).

FAQ

What is Modified Rayleigh number given Bingham number?

Modified Rayleigh number given Bingham number formula is defined as a dimensionless number that represents the ratio of buoyancy and thermal diffusivity but in terms of Bingham number and is represented as Ra' = Ra_c/(1+B_n) or Modified Rayleigh Number = Rayleigh Number(t)/(1+Bingham Number). Rayleigh Number(t) is a dimensionless parameter that is a measure of the instability of a layer of fluid due to differences of temperature and density at the top and bottom & Bingham Number, abbreviated as Bn, is a dimensionless quantity.

How to calculate Modified Rayleigh number given Bingham number?

Modified Rayleigh number given Bingham number formula is defined as a dimensionless number that represents the ratio of buoyancy and thermal diffusivity but in terms of Bingham number is calculated using Modified Rayleigh Number = Rayleigh Number(t)/(1+Bingham Number). To calculate Modified Rayleigh number given Bingham number, you need Rayleigh Number(t) (Ra_c) & Bingham Number (B_n). With our tool, you need to enter the respective value for Rayleigh Number(t) & Bingham Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search