A vehicle travels at 60 miles per hour on an empty highway. It moves against (in an opposite direction to) 20 miles per hour wind. The exterior surfaces of the vehicle is smooth on which the air flow is well mixed and agitated, meaning the laminar boundary layer can be ignored in flow analysis. The vehicle can be considered as a rectangular-shaped box with dimensions of 6-ft wide, 12 ft-long and 5-ft high. The density of air is 0.07350 lbm/ft’, and the viscosity of air is 1.247 x 10$ lbm/ft.s. Use the principle of "parallel flow over flat plates" to determine the followings

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A vehicle travels at 60 miles per hour on an empty highway. It moves against (in an opposite
direction to) 20 miles per hour wind. The exterior surfaces of the vehicle is smooth on which
the air flow is well mixed and agitated, meaning the laminar boundary layer can be ignored in
flow analysis. The vehicle can be considered as a rectangular-shaped box with dimensions of
6-ft wide, 12 ft-long and 5-ft high. The density of air is 0.07350 lbm/ft³, and the viscosity of
air is 1.247 x 10* lbm/ft.s. Use the principle of "parallel flow over flat plates" to determine
the followings.
(a) Drag force acting on all three surfaces of the vehicle (one-top + two-side surfaces) in lbf.
(b) Power required to overcome the drag force acting on the three exterior surfaces (one top +
two sides) of the vehicle, in horsepower.
Transcribed Image Text:A vehicle travels at 60 miles per hour on an empty highway. It moves against (in an opposite direction to) 20 miles per hour wind. The exterior surfaces of the vehicle is smooth on which the air flow is well mixed and agitated, meaning the laminar boundary layer can be ignored in flow analysis. The vehicle can be considered as a rectangular-shaped box with dimensions of 6-ft wide, 12 ft-long and 5-ft high. The density of air is 0.07350 lbm/ft³, and the viscosity of air is 1.247 x 10* lbm/ft.s. Use the principle of "parallel flow over flat plates" to determine the followings. (a) Drag force acting on all three surfaces of the vehicle (one-top + two-side surfaces) in lbf. (b) Power required to overcome the drag force acting on the three exterior surfaces (one top + two sides) of the vehicle, in horsepower.
Expert Solution
Step 1

Given:

The speed of the vehicle is 60 mph.

The speed of the wind is 20 mph.

The dimensions of the car are 6 ft wide, 12 ft long and 5 ft high.

The density of the air is 0.07350 lbmft3.

The viscosity of the air is 1.247×10-5 lbmfts.

Introduction:

A drag force is the resistance force caused by the motion of a body through a fluid, such as water or air. A drag force acts opposite to the direction of the oncoming flow velocity. This is the relative velocity between the body and the fluid.

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