Fluids eBook: Moment of Momentum Equation

Ch 4. Fundamental Laws (Integral Anal.)					Multimedia Engineering Fluids
Conservation Mass	Linear Momentum	Moment of Momentum	Conservation Energy

FLUID MECHANICS - CASE STUDY
		Introduction
Windmills		A state university is currently working on a long term project to explore the benefits of utilizing wind power as a renewable energy source for the state. Wind comes in at a mass flow rate of 150 kg/s, hits the blades of the windmill horizontally at 20 m/s, and goes out at an angle of 60^o at 50 m/s (as shown in the figure). The windmill is rotating at a speed of 2.5 rad/s. Determine the power generated by the windmill. The inner radius, r₁, and outer radius, r₂, are 30 m and 32 m, respectively.

		Questions
		What is the torque and power generated by the windmill?

Problem Description (Idealized Flow Conditions)		Approach
Problem Description (Idealized Flow Conditions)		Assume it is a steady-state process. The power generated by the shaft is where T is the torque and ω is the angular speed of the shaft.

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