the thrust f of a free propeller, either aircraft or marine, depends upon the density
Added by Kathleen P.
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Step 1: Understand that the thrust \( F \) generated by a free propeller depends on the mass flow rate of the fluid (air or water) it accelerates. Show more…
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The thrust of a marine propeller is to be measured during "open-water" tests at a variety of angular speeds and forward speeds ("speeds of advance"). The thrust, $F_{T},$ is thought to depend on water density, $\rho,$ propeller diameter, $D,$ speed of advance, $V,$ acceleration of gravity, $g,$ angular speed, $\omega$ pressure in the liquid, $p,$ and liquid viscosity, $\mu .$ Develop a set of dimensionless parameters to characterize the performance of the propeller. (One of the resulting parameters, $g D / V^{2},$ is known as the Froude speed of advance.)
The thrust (F) of a propeller is generally thought to be a function of its diameter (D) and angular velocity (Ω), the forward speed (V), and the density (ρ) and viscosity (μ) of the fluid. Which one of the following is not a dimensionless group for this problem.
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The fire tug discharges a stream of salt water (density $1030 \mathrm{kg} / \mathrm{m}^{3}$ ) with a nozzle velocity of $40 \mathrm{m} / \mathrm{s}$ at the rate of $0.080 \mathrm{m}^{3} / \mathrm{s}$. Calculate the propeller thrust $T$ which must be developed by the tug to maintain a fixed position while pumping.
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