The equation for the $q\u0307\u2212\Delta Tsat$ plot in the partial boiling region, the main focus of the current discussion, is given by the following equation:Display Formula

$q\u0307=a+b(Tw\u2212Tsat)m=a+b(\Delta Tsat)m$

(4)

The constants

$a$,

$b$, and

$m$ are functions of heat flux

$q\u0307$. The slope of the heat flux versus wall superheat in the partial boiling region is matched with the two limiting values, i.e.,

$m=1$ in the single-phase region at the beginning of the partial boiling region, identified by point C, and

$m=1\u22150.3$ at the beginning of the fully developed boiling region identified by point E. Thus, the values of

$a$ and

$b$ are obtained in terms of the heat fluxes and wall superheats at C and E, and the value of

$m$ is obtained in terms of the heat fluxes at C, E and at the desired location, where heat flux is

$q\u0307$ and wall superheat is

$\Delta Tsat$.

Display Formula$b=q\u0307E\u2212q\u0307C(\Delta Tsat,E)m\u2212(\Delta Tsat,C)m$

(5)

and

Display Formula$a=q\u0307C\u2212b(\Delta Tsat,C)m$

(6)

Note that there were typographical errors in Kandlikar (

5) that erroneously omitted the exponent

$m$ in Eqs.

5,

6.