Please help me with these

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MECH $2340$

Design Project

Sem $12024/2025$

Problem Statement

The impact of jet apparatus in the Fluid Dynamics Laboratory at E$5$ has malfunctioned. Your task is to design a replacement apparatus, focusing on the fluid mechanics aspects and its piping system. The apparatus consists of a water jet impacting a target surface, as shown in Figure $1.$

The water source is located on the wall at a height of $1$ meter. Its flow rate from the source is Liters per minute with a pressure of kPa $.$ The table where the apparatus will be placed is also $1$ meter high and is situated meters away from the water source $($measured horizontally$).$

You aim to design a simple piping system and nozzle to deliver water for the apparatus. The required velocity range at the nozzle exit is between and $\frac{m}{s}.$ The nozzle inlet diameter should not exceed cm $,$ the outlet diameter should be no more than half of the inlet diameter. Include at least one valve in your design to allow for flow rate adjustment.

The laboratory temperature ranges from $27C$ to $37C.$

Write a report to present your proposed design. Your report should contain:

a$.$ Justification of your choice of design $($piping size and material, components such as bends and valves$),$ such as why you chose certain pipe components, why you include $($or not$)$ a pump or any other design decision that you made.

b$.$ Theoretical derivation for the involved parameters in designing the piping system and the nozzle and

c$.$ The iterative calculation is used when designing the system.

Table $1$ gives the values for some given parameters. Each