Length given Graetz number Calculator

✖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 [D]			+10% -10%
✖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 given Graetz number [L]

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Length given Graetz number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
Diameter: 0.685714 Meter --> 0.685714 Meter No Conversion Required
Graetz Number: 800 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = Re*Pr*(D/Gr) --> 5000*0.7*(0.685714/800)

Evaluating ... ...

L = 2.99999875

STEP 3: Convert Result to Output's Unit

2.99999875 Meter --> No Conversion Required

FINAL ANSWER

2.99999875 ≈ 2.999999 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Dimensionless groups » Mechanical » Graetz and Grashof Number » Length given Graetz number

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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)

Length given Graetz number Formula

LaTeX Go

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

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 Length given Graetz number?

Length given Graetz number calculator uses Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number) to calculate the Length, Length given Graetz number is a dimensionless number used in heat transfer to characterize the thermal development of fluid flow in a duct. Length is denoted by L symbol.

How to calculate Length given Graetz number using this online calculator? To use this online calculator for Length given Graetz number, enter Reynolds Number (Re), Prandtl Number (Pr), Diameter (D) & Graetz Number (Gr) and hit the calculate button. Here is how the Length given Graetz number calculation can be explained with given input values -> 43.75 = 5000*0.7*(0.685714/800).

FAQ

What is Length given Graetz number?

Length given Graetz number is a dimensionless number used in heat transfer to characterize the thermal development of fluid flow in a duct and is represented as L = Re*Pr*(D/Gr) or Length = Reynolds Number*Prandtl Number*(Diameter/Graetz 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 or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity, 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 is used in determining the thermally developing flow entrance length in ducts.

How to calculate Length given Graetz number?

Length given Graetz number is a dimensionless number used in heat transfer to characterize the thermal development of fluid flow in a duct is calculated using Length = Reynolds Number*Prandtl Number*(Diameter/Graetz Number). To calculate Length given Graetz number, you need Reynolds Number (Re), Prandtl Number (Pr), Diameter (D) & Graetz Number (Gr). With our tool, you need to enter the respective value for Reynolds Number, Prandtl Number, Diameter & Graetz 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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