Problem $03$

$3\mathrm{.}1$ A centrifugal compressor handles $600k\frac{g}{m}in$ of air. The ambient

conditions are $1$ bar & $27C.$ The compressor runs at $18000$ rpm with

an isentropic efficiency of $80\%.$ Air is compressed from $1$ bar static to

$4$ bar total pressure. The air enters the eye of the impeller with a velocity

of $150\frac{m}{s}.$ Take the ratio of whirl speed and tip speed as $0\mathrm{.}9.$ Determine

$3\mathrm{.}1\mathrm{.}1$ Rise in total temperature during compression, if change $KE=0$

$3\mathrm{.}1\mathrm{.}2$ Tip diameter at the impeller and Eye diam, if hub diam is $10$ cm $.$