Water at \( 40^{\circ} \mathrm{C} \) is flowing through a reducing bend, where \( \alpha_{2} \) is \( 135^{\circ} \). The fluid enters the bend at a rate of \( 7.35 \mathrm{~m}^{3} / \mathrm{s} \) and exits \( 4.55 \mathrm{~m} \) above the inlet point. The inlet pipe diameter is \( 1.565 \mathrm{~m} \) while the outlet is \( 0.988 \mathrm{~m} \). Inlet pressure is \( 223 \mathrm{kPa} \) gage, friction losses are formulated as \( \frac{125 \theta_{2}^{2}}{3} \) for \( 7225 \mathrm{~kg} \) water (mass of water). The gravity force and work on fluid can be neglected. (25p)
Flowchart:
What is the density of water at \( 40^{\circ} \mathrm{C} \) ?
What is the viscosity of water at \( 40^{\circ} \mathrm{C} \) ?
What is the area for point \( 1\left(\mathrm{~A}_{1}\right) \) ?
What is the area for point \( 2\left(A_{2}\right) \) ?
What is the inlet velocity?
What is the outlet velocity?
What is mass flow rate?
What is the correction factor?
What is the kinetic energy differantiation?
What is the potential energy differantiation?
What is the friction loss?
What is the pressure for inlet point?
What is the force on \( x \)-axis?
What is the force on \( y \)-axis?
