JakobCHR.com

Quick Navigation:

Personal:

Go to Home
MS Research
PhD Research
Curriculum Vitae

General:

Linux

Soon to come:

Matlab
On-line Stores
Cycling
Medicine & Health
LaTeX
OOP & C++
Sony PCM-R500 DAT

Next: Viscosity of water at Up: Derivation of curve fits Previous: Derivation of curve fits Contents Index

Surface tension

The surface tension is in practice only dependent on the temperature of the liquid, ie water. If we fit data in the temperature interval 250 ${}^\circ\mbox{C}$ to 340 ${}^\circ\mbox{C}$ given by [25, Table 6, Db 5] to the quadratic model function

$\begin{displaymath} m_{\mbox{\protect\scriptsize quad}}(t) = a_1 + a_2 t + a_3 t^2 \end{displaymath}$

(B1)

in a least square sense^B1 we obtain the coefficients

$\begin{eqnarray*} a_1 &=& 9.731934849 \cdot 10^1\\ a_2 &=& -3.268401515 \cdot 10^{-1}\\ a_3 &=& 1.678030303 \cdot 10^{-4} \end{eqnarray*}$

$\textstyle \parbox{1.50cm}{\begin{eqnarray} \end{eqnarray}}$

The error is less than 0.22 percent in the temperature interval [250 ${}^\circ\mbox{C}$ ;310 ${}^\circ\mbox{C}$ ]. According to [26, Table 7, p. 173] we can expect a measurement error in the order of a few percent for the temperature interval under consideration and we therefore conclude that the error is fully acceptable.

In the figures B.1 and B.2 we see the a comparison of the fit and the data and the error of the fit as a function of temperature respectively.

$\begin{figure} % latex2html id marker 46965\rule{\textwidth}{0.2mm} \rule{0cm}... ...gma(t)$\ (\raise0.5ex\hbox{$.....$}) and the data points ($\cdot$).}\end{figure}$

$\begin{figure} % latex2html id marker 46985\rule{\textwidth}{0.2mm} \rule{0cm}... ...ated with the curve fit formula of the surface tension $\sigma(t)$.}\end{figure}$

Next: Viscosity of water at Up: Derivation of curve fits Previous: Derivation of curve fits Contents Index

Top Quality
Developed with
Danish
Brain Power