Diameter given Graetz number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
D = Gr*L/(ReL*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 - 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.
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
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = Gr*L/(ReL*Pr) --> 800*3/(8*0.7)
Evaluating ... ...
D = 428.571428571429
STEP 3: Convert Result to Output's Unit
428.571428571429 Meter --> No Conversion Required
FINAL ANSWER
428.571428571429 โ‰ˆ 428.5714 Meter <-- Diameter
(Calculation completed in 00.004 seconds)

Credits

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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

Diameter given Graetz number Formula

Diameter = Graetz Number*Length/(Reynolds Number*Prandtl Number)
D = Gr*L/(ReL*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 (ReL) & Prandtl Number (Pr) and hit the calculate button. Here is how the Diameter given Graetz number calculation can be explained with given input values -> 428.5714 = 800*3/(8*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/(ReL*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 & 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.
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 (ReL) & 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.
How many ways are there to calculate Diameter?
In this formula, Diameter uses Graetz Number, Length, Reynolds Number & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Diameter = ((Reynolds Number(w)*Kinematic Viscosity)/(pi*Rotational speed))^(1/2)
  • Diameter = (((5*10^5)*Kinematic Viscosity)/(Rotational speed))^1/2
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