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Using (3.12) and (3.13) the mass of the pressure line pipe (𝑚 26 𝑚 = 𝑙 ∙ 𝜌 ∙ 𝜋𝑑 − 𝜋𝑑 44 𝑚 = 𝑙 ∙ 𝜌 ∙ 𝜋𝑑 4 𝑚 =𝑚 +𝑚 +𝑚 ) and mass of fluid (𝑚 ) can be calculated. The density of SS 304 material is said to be 7888 kg/m3 (Peckner 1977). Ac- cording the return line is calculated by multiplying the mass of the pressure by 60%. This is a safe approximation since the pressure in the return line pipe is very low. Therefore, the total mass of the pipe 𝑚 can be determined by using (3.14). The total mass of the pipe is strangely heavy due to the high magnitude flow rate. Therefore, considering that it can be op- timized with the technological advancement in the future, the mass of the pipe is reduced by 50%. Now, one can find an optimum operating pressure for the system. This can be done by plotting all the pressure values against the total mass of the pipe and fluid. (3.12) (3.13) (3.14) 9000.00 8000.00 7000.00 6000.00 5000.00 4000.00 3000.00 2000.00 1000.00 0.00 0 2000 4000 6000 8000 10000 Operating Pressure (psi) 12000 14000 Figure 3.3 Operating pressure vs. Mass of the hydraulic piping The graph provides a clearer vision about the relation between operating pressure and the mass of the piping. The increase in pressure decreases the flow rate of the fluid. This in turn decreases the internal diameter of the pipes and therefore reducing the mass of the required fluid. However, the increase in pressure increases the thickness of the pipe and thus increasing the mass. Mass of piping(kg)PDF Image | Comparison of Concepts: Classic Jet Propulsion, Turbo-Electric Propulsion and Turbo-Hydraulic Propulsion
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