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Approximate Solution of a Laminar Flow over a Flat Plate with Suction and Pressure Gradient.

G F D'Amore

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Abstract

This thesis derives and analyzes an approximately velocity solution that represents a suction flow over a flat plate. The solution is derived from the momentum integral equation in terms of the suction and pressure gradient parameters. These parameters are adjusted unit flow separation is achieved. Further analysis is done with displacement thickness, momentum thickness, and friction. Other proven solutions are compared with this analysis. The approximate solution is in good agreement with the Blasius solution for zero suction and zero pressure gradient. Increasing suction velocity prevents or delays flow separation, and permits a flow to withstand higher adverse pressure gradient. The solution is limited to a suction parameter equal to -2 and consequently an optimum suction velocity is found. Suction velocity decreases the boundary layer thickness, and adverse pressure gradient increases the boundary layer thickness.

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What this paper is about

This thesis derives and analyzes an approximately velocity solution that represents a suction flow over a flat plate. The solution is derived from the momentum integral equation in terms of the suction and pressure gradient parameters. These parameters are adjusted unit flow separation is achieved. Further analysis is done with displacement thickness, momentum thickness, and friction. Other proven solutions are compared with this analysis. The approximate solution is in good agreement with the Blasius solution for zero suction and zero pressure gradient. Increasing suction velocity prevents or delays flow separation, and permits a flow to withstand higher adverse pressure gradient. The solution is limited to a suction parameter equal to -2 and consequently an optimum suction velocity is found. Suction velocity decreases the boundary layer thickness, and adverse pressure gradient increases the boundary layer thickness.

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Available abstract

This thesis derives and analyzes an approximately velocity solution that represents a suction flow over a flat plate. The solution is derived from the momentum integral equation in terms of the suction and pressure gradient parameters. These parameters are adjusted unit flow separation is achieved. Further analysis is done with displacement thickness, momentum thickness, and friction. Other proven solutions are compared with this analysis. The approximate solution is in good agreement with the Blasius solution for zero suction and zero pressure gradient. Increasing suction velocity prevents or delays flow separation, and permits a flow to withstand higher adverse pressure gradient. The solution is limited to a suction parameter equal to -2 and consequently an optimum suction velocity is found. Suction velocity decreases the boundary layer thickness, and adverse pressure gradient increases the boundary layer thickness.

Key concepts: Suction, Adverse pressure gradient, Laminar flow, Pressure gradient, Mechanics, Boundary layer suction, Boundary layer, Momentum (technical analysis)

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