Diameter given Graetz number Calculator

✖Graetz number is used in determining the thermally developing flow entrance length in ducts.ⓘ Graetz Number [Gr]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.ⓘ Reynolds Number [Re]			+10% -10%
✖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.ⓘ Prandtl Number [Pr]			+10% -10%

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter given Graetz number [D]

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Diameter given Graetz number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
D = Gr*L/(Re*Pr)
This formula uses 5 Variables

Variables Used

Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Graetz Number - Graetz number is used in determining the thermally developing flow entrance length in ducts.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Reynolds Number - Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.
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.

STEP 1: Convert Input(s) to Base Unit

Graetz Number: 800 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = Gr*L/(Re*Pr) --> 800*3/(5000*0.7)

Evaluating ... ...

D = 0.685714285714286

STEP 3: Convert Result to Output's Unit

0.685714285714286 Meter --> No Conversion Required

FINAL ANSWER

0.685714285714286 ≈ 0.685714 Meter <-- Diameter

(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Graetz and Grashof Number Calculators

Graetz Number given System properties

LaTeX Go Graetz Number = (Diameter*Characteristic Length*Characteristic Speed*Mass Density*Specific Heat Capacity)/(Thermal Conductivity*Length)

Viscous force given grashofs number

LaTeX Go Viscous Force = sqrt((Buoyant Force*Inertia Force)/Grashof Number)

Buoyant force given grashof number

LaTeX Go Buoyant Force = Grashof Number*(Viscous Force^2)/Inertia Force

Grashof Number

LaTeX Go Grashof Number = (Buoyant Force)/(Viscous Force)

Diameter given Graetz number Formula

LaTeX Go

Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
D = Gr*L/(Re*Pr)

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Diameter given Graetz number?

Diameter given Graetz number calculator uses Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number) to calculate the Diameter, The Diameter given Graetz number formula is defined as the straight line drawn from inside a circle with both ends touching the circumference of the circle. Diameter is denoted by D symbol.

How to calculate Diameter given Graetz number using this online calculator? To use this online calculator for Diameter given Graetz number, enter Graetz Number (Gr), Length (L), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Diameter given Graetz number calculation can be explained with given input values -> 0.685714 = 800*3/(5000*0.7).

FAQ

What is Diameter given Graetz number?

The Diameter given Graetz number formula is defined as the straight line drawn from inside a circle with both ends touching the circumference of the circle and is represented as D = Gr*L/(Re*Pr) or Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number). Graetz number is used in determining the thermally developing flow entrance length in ducts, Length is the measurement or extent of something from end to end, Reynolds Number is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent & 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.

How to calculate Diameter given Graetz number?

The Diameter given Graetz number formula is defined as the straight line drawn from inside a circle with both ends touching the circumference of the circle is calculated using Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number). To calculate Diameter given Graetz number, you need Graetz Number (Gr), Length (L), Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Graetz Number, Length, Reynolds Number & Prandtl 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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