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.
Stanton Number formula |
||
|
\( St \;=\; \dfrac{ h }{ C \cdot \rho \cdot v }\) (Stanton Number) \( h \;=\; St \cdot C \cdot \rho \cdot v \) \( C \;=\; \dfrac{ h }{ St \cdot \rho \cdot v }\) \( \rho \;=\; \dfrac{ h }{ St \cdot C \cdot v }\) \( v \;=\; \dfrac{ h }{ St \cdot C \cdot \rho }\) |
||
| 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 | \(ft \;/\; sec\) | \(m \;/\; s\) |
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 |
||
|
\( St \;=\; \dfrac{ h }{ C \cdot G }\) (Stanton Number) \( h \;=\; St \cdot C \cdot G \) \( C \;=\; \dfrac{ h }{ St \cdot G }\) \( G \;=\; \dfrac{ h }{ St \cdot C }\) |
||
| 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 | \(ft \;/\; sec\) | \(m \;/\; s\) |
