Two sections A and B are $1\mathrm{.}0$ km apart along a $0\mathrm{.}045$ m diameter commercial steel pipe. A is $25\mathrm{.}0$ m higher than $B.$ The pressure heads at A and $B$ are $11\mathrm{.}1$ m and $28\mathrm{.}0$ m respectively. Assuming a water temperature of $4C$ and that minor losses are negligible, determine the flow rate using the DarcyWeisbach equation.