The thrust F of a propeller is generally thought to be a funciton of its diameter D
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A common way to quantify this is via thrust coefficient Ct, defined as Ct = F / (Ļ n^2 D^4), where Ļ is air density, n is rotation rate (revolutions per second), and D is propeller diameter. Show moreā¦
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The thrust (F) of a propeller is generally thought to be a function of its diameter (D) and angular velocity (ā¦), the forward speed (V), and the density (Ļ) and viscosity (Ī¼) of the fluid. Which one of the following is not a dimensionless group for this problem.
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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.)
Consider again Problem $7.51 .$ Experience shows that for ship-size propellers, viscous effects on scaling are small. Also, when cavitation is not present, the nondimensional parameter containing pressure can be ignored. Assume that torque, $T,$ and power, $\mathscr{P},$ depend on the same parameters as thrust. For conditions under which effects of $\mu$ and $p$ can be neglected, derive scaling "laws" for propellers, similar to the pump "laws" of Section $7.6,$ that relate thrust, torque, and power to the angular speed and diameter of the propeller.
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