Q$.7$ Orthogonal cutting was performed with rake angle of ${12}^0$ on steel workpiece having specific energy

of $2k\frac{N}{m}{m}^2$ using emulsion cutting fluid at $6$ litre$/$min flow rate. The cutting parameters used were: $40$

$\frac{m}{m}in$ cutting speed, $0\mathrm{.}35m\frac{m}{r}ev$ feed and $4$ mm depth of cut. The thermal conductivity and thermal

diffusivity of workpiece material were $45\frac{W}{m}-C$ and $12\mathrm{.}5{10}^{-6}\frac{m^2}{s},$ respectively. Assuming that the $90\%$

of the heat generated is conducted to the coolant, find $($I$)$ temperature rise of the rake face $($II$)$ temperature

rise of the coolant