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Next: Core flow modeling Up: Primary coolant circulation loop Previous: Sudden expansion Contents Index

Overview of the primary coolant flow paths

In Figure 5.4 we have shown an electrical analog to the primary recirculation system--the electrical current corresponds to the mass flow rate and the voltage corresponds to the pressure. Notice that we have fixed the steam dome pressure (the pressure at the outlet of the steam separator) at $P_{\mbox{\protect\scriptsize sys}}$ .

The single-phase singular pressure changes are denoted by building blocks with the name SS. Similarly, the two-phase singular pressure changes are denoted by TS.

The building block with the name K₀ accounts for the core plate pressure loss.

$\begin{figure} % latex2html id marker 20444\rule{\textwidth}{0.2mm} \rule{0cm}... ... to the primary coolant system of the BWR with natural circulation.}\end{figure}$

Our task is to find the total recirculation mass flow rate, $\mbox{$\dot{m}$}_i$ , which balances the pressure changes in the circuit.

The pressure balance equation we have to solve can be written as

$\begin{eqnarray*} \lefteqn{-K_0 \frac{\mbox{$<\!{G}\!>$}_{\framebox[1.5ex]{\rai... ...mebox[1.5ex]{\raisebox{-2.2pt}[0pt][0ex]{\scriptsize 1}}}} = 0 \end{eqnarray*}$

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

or more generally

$\begin{displaymath} f(\mbox{$\dot{m}$}_i) = 0 \end{displaymath}$

(5.31)

Note that it is customary to relate the core plate loss coefficient, K₀, to the downstream mass flux--in this case the core mass flux $\mbox{$<\!{G}\!>$}_{\framebox[1.5ex]{\raisebox{-2.2pt}[0pt][0ex]{\scriptsize 1}}}$ .

Next: Core flow modeling Up: Primary coolant circulation loop Previous: Sudden expansion Contents Index

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