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MECHANICS of FLUIDS LABORATORY - Mechanical Engineering

MECHANICS of FLUIDS LABORATORY - Mechanical Engineering

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placed on the torque arm to reposition the motor<br />

to its balanced position. The product <strong>of</strong> weight<br />

and torque arm length gives the torque input from<br />

motor to fan.<br />

A tachometer is used to measure the<br />

rotational speed <strong>of</strong> the motor. The product <strong>of</strong><br />

torque and rotational speed gives the power input<br />

to the fan:<br />

dW a<br />

dt<br />

= Tω (17.2)<br />

This is the power delivered to the fan from the<br />

motor.<br />

The efficiency <strong>of</strong> the fan can now be<br />

calculated using Equations 1 and 2:<br />

η = dW/dt<br />

dW a /dt<br />

(17.3)<br />

Thus for one setting <strong>of</strong> the motor controller, the<br />

following readings should be obtained:<br />

1. An appropriate reading for the flow meter.<br />

2. Weight needed to balance the motor, and its<br />

position on the torque arm.<br />

3. Rotational speed <strong>of</strong> the fan and motor.<br />

4. The static pressure at section 2.<br />

With these data, the following parameters<br />

can be calculated, again for each setting <strong>of</strong> the<br />

motor controller:<br />

1. Outlet velocity at section 2: V 2 = Q/A 2 .<br />

2. The power using Equation 17.1.<br />

3. The input power using Equation 17.2.<br />

4. The efficiency using Equation 17.3.<br />

Presentation <strong>of</strong> Results<br />

On the horizontal axis, plot volume flow<br />

rate. On the vertical axis, graph the power using<br />

Equation 1, and Equation 2, both on the same set <strong>of</strong><br />

axes. Also, again on the same set <strong>of</strong> axes, graph<br />

total pressure ∆p t as a function <strong>of</strong> flow rate. On a<br />

separate graph, plot efficiency versus flow rate<br />

(horizontal axis).<br />

45

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