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... height Fire hoses used in major structural fires have an inside diameter of 6.40 cm. Suppose such a hose carries a flow of 43 L/s. The hose rises up 13.3 m along a ladder to a nozzle having an inside diameter of 3.00 cm. What is the starting pressure at the fire truck? Use p=1000 kg/m³ and g =9.8 m/s? Answer in KPa. No label, no unit, number only.

1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. R

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