Stanton Number

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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

\( St =  h \;/\; C \; \rho \; v \)     (Stanton Number)

\( h =  St  \; C \; \rho \; v  \) 

\( C =  h \;/\; St \; \rho \; v \) 

\( \rho =  h \;/\; St \; C \; v \) 

\( v =  h  \;/\; St \; C \; \rho \) 

Solve for St

heat transfer coefficient, h
heat capacity, C
density, ρ
velocity, v

Solve for h

Stanton numbert, St
heat capacity, C
density, ρ
velocity, v

Solve for C

heat transfer coefficient, h
Stanton number, St
density, ρ
velocity, v

Solve for ρ

heat transfer coefficient, h
Stanton number, St
heat capacity, C
velocity, v

Solve for v

heat transfer coefficient, h
Stanton numbrt, St
heat capacity, C
density, ρ

Symbol English Metric
\( St \) = Stanton number \(dimensionless\)
\( h \) = 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 formula

\( St =  h \;/\; C \; G \) 
Symbol English Metric
\( St \) = Stanton number \(dimensionless\)
\( h \) = heat transfer coefficient \(Btu \;/\; hr-ft^2-F\)  \(W \;/\; m^2-K\)
\( C \) = heat capacity \(Btu \;/\; lbm-F\) \(kJ \;/\; kg-K\)
\( G \) = mass velocity \(ft \;/\; sec\) \(m \;/\; s\)

 

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Tags: Heat Transfer Heat Fluid