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Chapter 5: Problem 28

For an automobile moving along a highway, descrite the control volume you would use to estimate the flowrate of air across the radiator. Explain how you would estimate the velocity of that air.

Short Answer

Expert verified
The control volume around an automobile's radiator would be a rectangular box equivalent to the dimensions of the radiator. The air flowrate can be determined by the measures of the control volume and the time it takes for the air to move across that volume. The velocity of the air can be estimated from the known speed of the car, as the air moves relative to the vehicle.

Step by step solution

01

Define Control Volume

The control volume here is the air space immediately in front of and behind the car's radiator. This volume can be described as a rectangular box whose length would be the thickness of the radiator, and the height and width would correspond to the dimensions of the radiator.
02

Understand Flowrate

Flowrate refers to the volume of fluid passing per unit time. Since we're considering the flow of air across the radiator, the flowrate would be the volume of air that flows across the radiator per unit time. This can be calculated by finding the volume of the control volume and dividing it by the time it takes for the air to traverse that volume.
03

Estimate Velocity

The velocity of the air is simply the rate of change of the air's position, which can be calculated by taking the distance the air travels through the control volume (the length of the box, which corresponds to the radiator's thickness) and dividing by the time it takes for the air to traverse that distance. This can be estimated from the known speed of the car and considering that the air moves relative to the car.

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