Friction, Drag Force, and Heat Transfer
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Air at 22C and at pressure of 120 kPa is flowing over a flat plate with a velocity of 4.5 m/s. If the plate is 50 cm wide and the surface in contact with the air is at 82C, calculate the following quantities at x = 42 cm: (a) the local friction coefficient; (b) the average friction coefficient; (c) the drag force; (d) the local convective heat transfer coefficient; (e) the average convective heat transfer coefficient; (f) the rate of heat transfer.
Reference: ENGR 30301 Fluid Mechanics Textbook: Fluid Mechanics, 9th edition
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Solution Summary
This in-depth solution contains step-by-step calculations by using a total of eight physics equations to determine the friction coefficient, drag force, convective heat transfer, and rate of heat transfer. All workings are shown with brief explanations.
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Problem:
Air at 22C and at pressure of 120 kPa is flowing over a flat plate with a velocity of 4.5 m/s. If the plate is 50 cm wide and the surface in contact with the air is at 82C, calculate the following quantities at x = 42 cm:
(a) the local friction coefficient;
(b) the average friction coefficient;
(c) the drag force;
(d) the local convective heat transfer coefficient;
(e) the average convective heat transfer coefficient;
(f) the rate of heat transfer.
Solution:
a) First of all, we need to find out what kind of flow we have (laminar or turbulent).
The character of flow is given by Reynolds number defined with respect to the thickness of boundary layer (unlike flow in a duct, ...
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