Stanton Number formula |
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\( St \;=\; \dfrac{ h }{ C \cdot \rho \cdot v }\) (Stanton Number) \( h \;=\; St \cdot C \cdot \rho \cdot v \) \( C \;=\; \dfrac{ h }{ St \cdot \rho \cdot v }\) \( \rho \;=\; \dfrac{ h }{ St \cdot C \cdot v }\) \( v \;=\; \dfrac{ h }{ St \cdot C \cdot \rho }\) |
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| Symbol | English | Metric |
| \( St \) = Stanton Number | \(dimensionless\) | \( dimensionless \) |
| \( h \) = Heat Transfer Coefficient | \(Btu \;/\; hr-ft^2-F\) | \(W \;/\; m^2-K\) |
| \( C \) = Heat Capacity | \(Btu \;/\; lbm-F\) | \(kJ \;/\; kg-K\) |
| \( \rho \) (Greek symbol rho) = Density | \(lbm \;/\; ft^3\) | \(kg \;/\; m^3\) |
| \( v \) = Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
Stanton number, abbreviated as St, a dimensionless number, calculates the heat transfer into a fluid to the thermal capacity of fluid. It relates the rate of heat transfer to the fluid flow characteristics in a system. The Stanton number is defined as the ratio of the convective heat transfer to the wall (or surface) to the conductive heat transfer through the fluid.
The Stanton number is often used in the analysis and design of heat exchangers, where it helps engineers understand how efficiently heat is transferred from one fluid to another. A higher Stanton number indicates that the convective heat transfer is dominant, meaning that heat is being transferred efficiently from the fluid to the solid surface. Conversely, a lower Stanton number suggests that conductive heat transfer dominates, and the fluid is not transferring heat as effectively.
In practical engineering calculations, the Stanton number is a valuable parameter to consider when designing and optimizing heat exchange processes, such as in the cooling of engines, HVAC systems, or industrial heat exchangers.
Stanton Number formula |
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\( St \;=\; \dfrac{ h }{ C \cdot G }\) (Stanton Number) \( h \;=\; St \cdot C \cdot G \) \( C \;=\; \dfrac{ h }{ St \cdot G }\) \( G \;=\; \dfrac{ h }{ St \cdot C }\) |
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| Symbol | English | Metric |
| \( St \) = Stanton Number | \(dimensionless\) | \( dimensionless \) |
| \( h \) = Heat Transfer Coefficient | \(Btu \;/\; hr-ft^2-F\) | \(W \;/\; m^2-K\) |
| \( C \) = Heat Capacity | \(Btu \;/\; lbm-F\) | \(kJ \;/\; kg-K\) |
| \( G \) = Mass Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
Stanton Number Interpretation
- The Stanton number essentially measures how effectively heat is transferred into a moving fluid relative to the fluid's ability to store that heat as it flows.
- High Stanton Number - Indicates efficient heat transfer compared to the fluid’s thermal capacity, meaning the surface is very effective at heating or cooling the fluid.
- Low Stanton Number - Suggests that the fluid’s thermal capacity dominates, and heat transfer is less efficient relative to the flow.
