Local Stanton Number given Prandtl Number Calculator

✖Local Reynolds Number is the ratio of inertial forces to viscous forces.ⓘ Local Reynolds Number [Re_l]			+10% -10%
✖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 [Pr]			+10% -10%

✖Local Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Local Stanton Number given Prandtl Number [St_x]

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Local Stanton Number given Prandtl Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))
St_x = (0.332*(Re_l^(1/2)))/(Pr^(2/3))
This formula uses 3 Variables

Variables Used

Local Stanton Number - Local Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Local Reynolds Number - Local Reynolds Number is the ratio of inertial forces to viscous forces.
Prandtl Number - 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

Local Reynolds Number: 0.55 --> No Conversion Required
Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St_x = (0.332*(Re_l^(1/2)))/(Pr^(2/3)) --> (0.332*(0.55^(1/2)))/(7.29^(2/3))

Evaluating ... ...

St_x = 0.065488907109489

STEP 3: Convert Result to Output's Unit

0.065488907109489 --> No Conversion Required

FINAL ANSWER

0.065488907109489 ≈ 0.065489 <-- Local Stanton Number

(Calculation completed in 00.004 seconds)

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Reynolds Number given Mass Velocity

LaTeX Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

LaTeX Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Mass Velocity

LaTeX Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

LaTeX Go Mass Velocity = Density of Fluid*Mean velocity

Local Stanton Number given Prandtl Number Formula

LaTeX Go

Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))
St_x = (0.332*(Re_l^(1/2)))/(Pr^(2/3))

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.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Local Stanton Number given Prandtl Number?

Local Stanton Number given Prandtl Number calculator uses Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3)) to calculate the Local Stanton Number, The Local Stanton Number given Prandtl Number formula is defined as the function of Prandtl Number and Reynolds Number. The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows. Stanton number indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater Stanton number is, the more effectively heat is transferred. Local Stanton Number is denoted by St_x symbol.

How to calculate Local Stanton Number given Prandtl Number using this online calculator? To use this online calculator for Local Stanton Number given Prandtl Number, enter Local Reynolds Number (Re_l) & Prandtl Number (Pr) and hit the calculate button. Here is how the Local Stanton Number given Prandtl Number calculation can be explained with given input values -> 0.065489 = (0.332*(0.55^(1/2)))/(7.29^(2/3)).

FAQ

What is Local Stanton Number given Prandtl Number?

The Local Stanton Number given Prandtl Number formula is defined as the function of Prandtl Number and Reynolds Number. The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows. Stanton number indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater Stanton number is, the more effectively heat is transferred and is represented as St_x = (0.332*(Re_l^(1/2)))/(Pr^(2/3)) or Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3)). Local Reynolds Number is the ratio of inertial forces to viscous forces & 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 Local Stanton Number given Prandtl Number?

The Local Stanton Number given Prandtl Number formula is defined as the function of Prandtl Number and Reynolds Number. The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows. Stanton number indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater Stanton number is, the more effectively heat is transferred is calculated using Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3)). To calculate Local Stanton Number given Prandtl Number, you need Local Reynolds Number (Re_l) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Local 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 Local Stanton Number?

In this formula, Local Stanton Number uses Local Reynolds Number & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)
Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

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