Prandtl number given Graetz numbber 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_L]			+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%

✖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 given Graetz numbber [Pr]

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Formula

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Prandtl number given Graetz numbber

Formula

`"Pr" = "Gr"*"L"/("Re"_{"L"}*"D")`

Example

`"30"="800"*"3m"/("8"*"10m")`

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Prandtl number given Graetz numbber Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Graetz Number: 800 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Reynolds Number: 8 --> No Conversion Required
Diameter: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Pr = Gr*L/(Re_L*D) --> 800*3/(8*10)

Evaluating ... ...

Pr = 30

STEP 3: Convert Result to Output's Unit

30 --> No Conversion Required

FINAL ANSWER

30 <-- Prandtl Number

(Calculation completed in 00.004 seconds)

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

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< 23 Free convection Calculators

Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

Go Bingham Number = (Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient Of Volumetric Expansion*Change in Temperature)))^(0.5)

Outside surface temperature for annular space between concentric cylinders

Go Outside Temperature = Inside Temperature-(Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))

Inside surface temperature for annular space between concentric cylinders

Go Inside Temperature = (Heat Transfer per Unit Length*((ln(Outside Diameter/Inside Diameter))/(2*pi*Thermal Conductivity)))+Outside Temperature

Outside diameter of concentric sphere

Go Outside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Inside Diameter)/Length))

Inside diameter of concentric sphere

Go Inside Diameter = Heat transfer/((Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter)/Length))

Length of space between two concentric sphere

Go Length = (Thermal Conductivity*pi*(Inside Temperature-Outside Temperature))*((Outside Diameter*Inside Diameter)/Heat transfer)

Inside temperature of concentric sphere

Go Inside Temperature = (Heat transfer/((Thermal Conductivity*pi*(Outer Diameter*Inner Diameter)/Length)))+Outside Temperature

Length of annular space between two concentric cylinders

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

Boundary layer thickness on vertical surfaces

Go Boundary Layer Thickens = 3.93*Distance from Point to YY Axis*(Prandtl Number^(-0.5))*((0.952+Prandtl Number)^0.25)*(Local Grashof Number^(-0.25))

Thermal conductivity of fluid

Go Thermal Conductivity = Thermal Conductivity/(0.386*(((Prandtl Number)/(0.861+Prandtl Number))^0.25)*(Rayleigh Number(t))^0.25)

Diameter of rotating cylinder in fluid given Reynolds number

Go Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)

Rotational speed given Reynolds number

Go Rotational speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2)

Kinematic viscosity given Reynolds number based on rotational speed

Go Kinematic Viscosity = Rotational speed*pi*(Diameter^2)/Reynolds Number(w)

Prandtl number given Graetz numbber

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

Diameter given Graetz number

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

Length given Graetz number

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

Convective mass transfer coefficient at distance X from leading edge

Go Convective Mass Transfer Coefficient = (2*Thermal Conductivity)/Boundary Layer Thickens

Diameter at which turbulence starts

Go Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2

Kinematic viscosity of fluid

Go Kinematic Viscosity = (Rotational speed*Diameter^2)/(5*10^5)

Rotational speed of disc

Go Rotational speed = (5*10^5)*Kinematic Viscosity/(Diameter^2)

Outside radius from gap length

Go Outer Radius = Gap length+Inside Radius

Inside radius from gap length

Go Inside Radius = Outer Radius-Gap length

Gap length

Go Gap length = Outer Radius-Inside Radius

Prandtl number given Graetz numbber Formula

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

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 Prandtl number given Graetz numbber?

Prandtl number given Graetz numbber calculator uses Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter) to calculate the Prandtl Number, The Prandtl number given Graetz numbber formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body. Prandtl Number is denoted by Pr symbol.

How to calculate Prandtl number given Graetz numbber using this online calculator? To use this online calculator for Prandtl number given Graetz numbber, enter Graetz Number (Gr), Length (L), Reynolds Number (Re_L) & Diameter (D) and hit the calculate button. Here is how the Prandtl number given Graetz numbber calculation can be explained with given input values -> 30 = 800*3/(8*10).

FAQ

What is Prandtl number given Graetz numbber?

The Prandtl number given Graetz numbber formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body and is represented as Pr = Gr*L/(Re_L*D) or Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter). 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 & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Prandtl number given Graetz numbber?

The Prandtl number given Graetz numbber formula is defined as a dimensionless parameter used in calculations of heat transfer between a moving fluid and a solid body is calculated using Prandtl Number = Graetz Number*Length/(Reynolds Number*Diameter). To calculate Prandtl number given Graetz numbber, you need Graetz Number (Gr), Length (L), Reynolds Number (Re_L) & Diameter (D). With our tool, you need to enter the respective value for Graetz Number, Length, Reynolds Number & Diameter 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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