A sprue is

250mm

long. The velocity of the molten metal at the top of the sprue is

0.15(m)/(s)

. The middle diameter of the sprue is

10mm

. The total cavity of the "runner system + mold" is

2.5\\\\times 10^(6)mm^(3)

. The viscosity of the molten metal is

0.0022k(g)/(m*s)

and the density is

2700k(g)/(m^(3))

.\ According to given information\ i. For a proper sprue design, calculate the bottom diameter of the sprue\ ii. Find the velocity at the bottom of the sprue\ iii. Find the volumetric and mass flow rates at the bottom of the sprue\ iv. Find the required time to fill the mold completely\ v. Is the flow laminar, mixed or turbulent at the bottom of the sprue?\

h+(P)/(\\\ ho g)+(v^(2))/(2g)= constant Q=A_(1)V_(1)=A_(2)V_(2)\ (A_(1))/(A_(2))=\\\\sqrt((h_(2))/(h_(1))),Re=(\\\ ho VD)/(\\\\mu ),TST=C_(m)((V)/(A))^(n)

A sprue is 250mm long. The velocity of the molten metal at the top of the sprue is 0.15m/s. The middle diameter of the sprue is 10mm. The total cavity of the "runner system + mold" is 2.5106mm3. The viscosity of the molten metal is 0.0022kg/(ms) and the density is 2700kg/m3. According to given information i. For a proper sprue design, calculate the bottom diameter of the sprue ii. Find the velocity at the bottom of the sprue iii. Find the volumetric and mass flow rates at the bottom of the sprue iv. Find the required time to fill the mold completely v. Is the flow laminar, mixed or turbulent at the bottom of the sprue? h+gP+2gv2=constantA2A1=h1h2Re=VDQ=A1V1=A2V2TST=Cm(AV)n