auxi.tools.transportphenomena.dimensionlessquantities module¶
This module provides functions to calculate dimensionless quantities used when doing transport phenomena calculations.
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auxi.tools.transportphenomena.dimensionlessquantities.
Gr
(L: float, Ts: float, Tf: float, beta: float, nu: float, g: float)¶ Calculate the Grashof number.
Parameters: - L – [m] heat transfer surface characteristic length.
- Ts – [K] heat transfer surface temperature.
- Tf – [K] bulk fluid temperature.
- beta – [1/K] fluid coefficient of thermal expansion.
- nu – [m2/s] fluid kinematic viscosity.
Returns: float
- Characteristic dimensions:
- vertical plate: vertical length
- pipe: diameter
- bluff body: diameter
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auxi.tools.transportphenomena.dimensionlessquantities.
Nu
(L: float, h: float, k: float) → float¶ Calculate the Nusselt number.
Parameters: - L – [m] heat transfer surface characteristic length.
- h – [W/K/m2] convective heat transfer coefficient.
- k – [W/K/m] fluid thermal conductivity.
Returns: float
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auxi.tools.transportphenomena.dimensionlessquantities.
Pr
(nu: float, alpha: float) → float¶ Calculate the Prandtl number.
Parameters: - nu – [m2/s] fluid kinematic viscosity / momentum diffusivity.
- alpha – [m2/s] fluid thermal diffusivity.
Returns: float
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auxi.tools.transportphenomena.dimensionlessquantities.
Ra
(L: float, Ts: float, Tf: float, alpha: float, beta: float, nu: float) → float¶ Calculate the Grashof number.
Parameters: - L – [m] heat transfer surface characteristic length.
- Ts – [K] heat transfer surface temperature.
- Tf – [K] bulk fluid temperature.
- alpha – [m2/s] fluid thermal diffusivity.
- beta – [1/K] fluid coefficient of thermal expansion.
- nu – [m2/s] fluid kinematic viscosity.
Returns: float
Ra = Gr*Pr
- Characteristic dimensions:
- vertical plate: vertical length
- pipe: diameter
- bluff body: diameter
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auxi.tools.transportphenomena.dimensionlessquantities.
Re
(L: float, v: float, nu: float) → float¶ Calculate the Reynolds number.
Parameters: - L – [m] surface characteristic length.
- v – [m/s] fluid velocity relative to the object.
- nu – [m2/s] fluid kinematic viscosity.
Returns: float
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auxi.tools.transportphenomena.dimensionlessquantities.
Sh
(L: float, h: float, D: float) → float¶ Calculate the Sherwood number.
Parameters: - L – [m] mass transfer surface characteristic length.
- h – [m/s] mass transfer coefficient.
- D – [m2/s] fluid mass diffusivity.
Returns: float