Problem $9\mathrm{.}08$

A solar water heater mounted on the roof consists of two flat plates. Water enters at $\backslash ($ A $\backslash )$ and exits at $\backslash ($ B $\backslash ).$ Assume the average temperature of the water is $\backslash (45^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).($Figure $1)$

Part A

If the gap between the plates is $\backslash ($ a$=1\mathrm{.}62\backslash$mathrm$\{$~mm$\}\backslash ),$ determine the maximum allowable pressure drop from $\backslash ($ A $\backslash )$ to $\backslash ($ B $\backslash )$ so that the flow remains laminar.

Express your answer to three significant figures and include the appropriate units.

$\backslash [$

$\backslash$Delta p$\_\{\backslash$max $\}=$

$\backslash ]$

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