Stanton Number using Basic Fluid Properties Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)
St = houtside/(c*uFluid*ρ)
This formula uses 5 Variables
Variables Used
Stanton Number - The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
External Convection Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Density - (Measured in Kilogram per Cubic Meter) - Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
STEP 1: Convert Input(s) to Base Unit
External Convection Heat Transfer Coefficient: 9.8 Watt per Square Meter per Kelvin --> 9.8 Watt per Square Meter per Kelvin No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion here)
Fluid Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Density: 400 Kilogram per Cubic Meter --> 400 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
St = houtside/(c*uFluid*ρ) --> 9.8/(4184*12*400)
Evaluating ... ...
St = 4.87970044614404E-07
STEP 3: Convert Result to Output's Unit
4.87970044614404E-07 --> No Conversion Required
FINAL ANSWER
4.87970044614404E-07 4.9E-7 <-- Stanton Number
(Calculation completed in 00.019 seconds)

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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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11 Co-Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube
Go Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))
Stanton Number using Basic Fluid Properties
Go Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)
Reynolds Number for Non-Circular Tubes
Go Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity
Reynolds Number for Circular Tubes
Go Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity
Fourier Number
Go Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2)
Prandtl Number
Go Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity
Stanton Number using Dimensionless Numbers
Go Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
Stanton Number given Fanning Friction Factor
Go Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)
Nusselt Number using Dittus Boelter Equation for Cooling
Go Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3
Nusselt Number using Dittus Boelter Equation for Heating
Go Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4
Prandtl Number using Diffusivities
Go Prandtl Number = Momentum Diffusivity/Thermal Diffusivity

Stanton Number using Basic Fluid Properties Formula

Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)
St = houtside/(c*uFluid*ρ)

What is the Stanton 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.

How to Calculate Stanton Number using Basic Fluid Properties?

Stanton Number using Basic Fluid Properties calculator uses Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density) to calculate the Stanton Number, The Stanton Number using Basic Fluid Properties is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the 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 is denoted by St symbol.

How to calculate Stanton Number using Basic Fluid Properties using this online calculator? To use this online calculator for Stanton Number using Basic Fluid Properties, enter External Convection Heat Transfer Coefficient (houtside), Specific Heat Capacity (c), Fluid Velocity (uFluid) & Density (ρ) and hit the calculate button. Here is how the Stanton Number using Basic Fluid Properties calculation can be explained with given input values -> 4.9E-7 = 9.8/(4184*12*400).

FAQ

What is Stanton Number using Basic Fluid Properties?
The Stanton Number using Basic Fluid Properties is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows and is represented as St = houtside/(c*uFluid*ρ) or Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density). External Convection Heat Transfer Coefficient is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat in case of convective heat transfer, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount, Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area & Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
How to calculate Stanton Number using Basic Fluid Properties?
The Stanton Number using Basic Fluid Properties is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows is calculated using Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density). To calculate Stanton Number using Basic Fluid Properties, you need External Convection Heat Transfer Coefficient (houtside), Specific Heat Capacity (c), Fluid Velocity (uFluid) & Density (ρ). With our tool, you need to enter the respective value for External Convection Heat Transfer Coefficient, Specific Heat Capacity, Fluid Velocity & Density 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 Stanton Number?
In this formula, Stanton Number uses External Convection Heat Transfer Coefficient, Specific Heat Capacity, Fluid Velocity & Density. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
  • Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)
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