Local Stanton Number Calculator

✖Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.ⓘ Local Heat Transfer Coefficient [h_x]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.ⓘ Specific Heat at Constant Pressure [C_p]			+10% -10%
✖Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Free Stream Velocity [u_∞]			+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 [St_x]

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Local Stanton Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)
St_x = h_x/(ρ_Fluid*C_p*u_∞)
This formula uses 5 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 Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Specific Heat at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant.
Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

STEP 1: Convert Input(s) to Base Unit

Local Heat Transfer Coefficient: 40 Watt per Square Meter per Kelvin --> 40 Watt per Square Meter per Kelvin No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Specific Heat at Constant Pressure: 1.248 Joule per Kilogram per K --> 1.248 Joule per Kilogram per K No Conversion Required
Free Stream Velocity: 11 Meter per Second --> 11 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St_x = h_x/(ρ_Fluid*C_p*u_∞) --> 40/(1.225*1.248*11)

Evaluating ... ...

St_x = 2.37857380714524

STEP 3: Convert Result to Output's Unit

2.37857380714524 --> No Conversion Required

FINAL ANSWER

2.37857380714524 ≈ 2.378574 <-- Local Stanton Number

(Calculation completed in 00.021 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi

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< Convection Heat Transfer Calculators

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 Formula

LaTeX Go

Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)
St_x = h_x/(ρ_Fluid*C_p*u_∞)

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?

Local Stanton Number calculator uses Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity) to calculate the Local Stanton Number, The Local Stanton Number formula is defined as the function of local heat transfer coefficient, density, specific heat capacity and free stream velocity. 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 using this online calculator? To use this online calculator for Local Stanton Number, enter Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_Fluid), Specific Heat at Constant Pressure (C_p) & Free Stream Velocity (u_∞) and hit the calculate button. Here is how the Local Stanton Number calculation can be explained with given input values -> 2.378574 = 40/(1.225*1.248*11).

FAQ

What is Local Stanton Number?

The Local Stanton Number formula is defined as the function of local heat transfer coefficient, density, specific heat capacity and free stream velocity. 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 = h_x/(ρ_Fluid*C_p*u_∞) or Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity). Local heat transfer coefficient at a particular point on the heat-transfer surface, equal to the local heat flux at this point divided by the local temperature drop, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Specific heat at constant pressure is the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant & Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.

How to calculate Local Stanton Number?

The Local Stanton Number formula is defined as the function of local heat transfer coefficient, density, specific heat capacity and free stream velocity. 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 = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity). To calculate Local Stanton Number, you need Local Heat Transfer Coefficient (h_x), Density of Fluid (ρ_Fluid), Specific Heat at Constant Pressure (C_p) & Free Stream Velocity (u_∞). With our tool, you need to enter the respective value for Local Heat Transfer Coefficient, Density of Fluid, Specific Heat at Constant Pressure & Free Stream Velocity 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 Heat Transfer Coefficient, Density of Fluid, Specific Heat at Constant Pressure & Free Stream Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))
Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

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