Liquid properties versus temperature
1. Introduction
Here is the process to define the liquid thermal characteristics from the importation of series of points representing the considered quantity curve listed in an Excel file. In the following example water mass density is considered, however, the same principle is applied for all other liquid thermal quantity which are defined below.


Identification of the water mass density curve characteristics (for instance)  
1  Dialog box allowing the characterization of the density curve imported from an Excel file 
2  Select the reference temperature associated with the measures contained in the Excel file. 
3  Path where Excel file containing the measures is stored. See an example of Excel file below. 
4  Click on this button to import the Excel data. 
5 
When importing an Excel file, points representing the density curve are listed, an optimization process automatically computes and displays the corresponding characteristics. Three curves are displayed:

6  Indeed, going to the tab “User” the user can adjust one or all the main
parameters of the density curve.
Reference temperature can also be adjusted in this tab. 
7 
Lastly parameter values, written in the input fields are validated when the user clicks on this button. It is possible to cancel the creation of the density curve model. In this case, the previous values defined before opening this dialog box are reset. 
Example of an Excel file to define the water mass density curve parameters.

Example of an Excel file to define the water mass density curve parameters 
2. Mass density

Symbol  Definition  Unit 
T _{refD}  Mass density reference temperature T _{refD}  °C 
r _{T}  Mass density at T _{refD}  kg/m3 
a  Mass density first order temperature coefficient at T _{refD}  K1 
b  Mass density second order temperature coefficient at T _{refD}  K2 
3. Dynamic viscosity

Symbol  Definition  Unit 
T _{refV}  Dynamic viscosity reference temperature  °C 
m _{ref}  Dynamic viscosity at T _{refV}  kg/m/s 
a  Dynamic viscosity first order temperature coefficient at T _{refV}  K1 
b  Dynamic viscosity second order temperature coefficient at T _{refV}  K2 
4. Thermal conductivity

Symbol  Definition  Unit 
T _{refC}  Thermal conductivity reference temperature  °C 
K _{ref}  Thermal conductivity at T _{refC}  W/K/m 
a  Thermal conductivity first order temperature coefficient at T _{refC}  K1 
b  Thermal conductivity second order temperature coefficient at T _{refC}  K2 
5. Specific heat

Symbol  Definition  Unit 
T _{refS}  Specific heat reference temperature  T _{refS} (°C)  °C 
C _{ref}  Specific heat at T _{refS}  J/K/Kg 
a  Specific heat first order temperature coefficient at T _{refS}  K1 
b  Specific heat second order temperature coefficient at T _{refS}  K2 
6. Thermal expansion

Symbol  Definition  Unit 
T _{refE}  Thermal expansion reference temperature  °C 
b _{ref}  Thermal expansion coefficient at T _{refE}  K1 
a  Thermal expansion first order temperature coefficient at T _{refE}  K1 
b  Thermal expansion second order temperature coefficient at T _{refE}  K2 