A gas tungsten arc$-$welding operation is performed on a Mild Steel having a melting temperature of

$1500C.$ A filler metal wire having a diameter of $3mm$ is used to obtain a final weld bead composed of

a percentage in volume of filler equivalent to $0\mathrm{.}6,$ the remaining volume being base metal. When the

voltage is set at $27V,$ the current in the operation is $145A,$ and the welding speed is $5\mathrm{.}5m\frac{m}{s}.$ Consider

the usual loss from the heat transport factor to be $0\mathrm{.}70$ for TIG, and the melting factor to be $0\mathrm{.}90.$

Determine:

The power input of the process $P,$ and the rate of heat generation at the weld $H_w$;

The power density PD$,$ knowing that the power is transferred within a circle of diameter

$10mm$ with an efficiency of $0\mathrm{.}70.$

The volume rate of metal welded $V$ and the CSA of the weld bead $A_w.$

The feed rate $v_r$ at which the filler must be supplied.