functionNusseltInsideCSTR
Model for calculating the nusselt number of a continous stirred tank reactor
Extends from TransiEnt.Basics.Icons.Function.
Information
1. Purpose of model
Calculates the Nusselt number of an impeller driven flow inside a CSTR.
2. Level of detail, physical effects considered, and physical insight
(Description)
3. Limits of validity
(none)
4. Interfaces
(none)
5. Nomenclature
Nu := Nusselt number,
Pr := Prandtl number
D := Inner Diameter of CSTR
P := power of the stirrer
V := Volume of CSTR filled with medium
rho := density of fluid
eta := dynamic viscosity of fluid
eta_w := dynamic viscosity of fluid at the wall
6. Governing Equations
Nu := K * (pi/4)^(a/3) * (P*D^4*rho^2/V/eta^3)^(a/3) * Pr^b * (eta/eta_w)^c
7. Remarks for Usage
(none)
8. Validation
(no validation or testing necessary)
9. References
[1] Judat, H. and Sperling, R. (2005). Wärmeübergang im Rührkessel. In M. Kraume (Ed.) Mischen und Rühren (pp. 123-145), Wiley-Blackwell
10. Version History
Created by Philipp Jahneke (philipp.koziol@tuhh.de), Sep 2018
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.ReynoldsNumber | Re | Reynols number inside CSTR | |
| Modelica.Units.SI.PrandtlNumber | Pr | Prandtl number of medium at its temperature | |
| Modelica.Units.SI.DynamicViscosity | eta | viscosity of medium at its temperature | |
| Modelica.Units.SI.DynamicViscosity | eta_w | viscosity of medium at wall temperature | |
| Real | C1 | geometrical Coefficient in Nusselt-Equation |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.NusseltNumber | Nu | Nusselt number inside CSTR |