.TransiEnt.Producer.Gas.BiogasPlant.HeatTransfer.FreeConvection.NusseltFreeConvection_verticalSurface

Information

1. Purpose of model

Evaluates the Nusselt Correlation for Natural Convection Heat Transfer at rectangular vertical surfaces.

2. Level of detail, physical effects considered, and physical insight

(Description)

3. Limits of validity

L (characteristic lenght) must be height of surface

10^-1 < Ra < 10^12

10^-3 < Pr

4. Interfaces

(none)

5. Nomenclature

Ra := Rayleigh number,

Pr := Prandtl number

Nu := Nusselt number

6. Governing Equations

Nu := (0.825 + 0.387 (Ra *f_1(Pr))^{1/6})^2

7. Remarks for Usage

use together with functions calculating correct Rayleigh and Prandtl numbers

8. Validation

(no validation or testing necessary)

9. References

[1] Klan, H., & Thess, A. (2013). F2 Wärmeübertragung durch freie Konvektion: Außenströmung. In VDI-Wärmeatlas (pp. 757-764). Springer Vieweg, Berlin, Heidelberg.

10. Version History

Created by Philipp Jahneke (philipp.koziol@tuhh.de), Aug 2018

Interface

function NusseltFreeConvection_verticalSurface
  extends TransiEnt.Basics.Icons.Function;
  input Modelica.Units.SI.RayleighNumber Ra "Rayleight number calculated with properties of medium";
  input Modelica.Units.SI.PrandtlNumber Pr "Prandtl number (property of medium)";
  output Modelica.Units.SI.NusseltNumber Nu "Nusselt Number calculated by the correlation";
end NusseltFreeConvection_verticalSurface;