Integral Boundary Layer Equation Lecture 9 ME EN 412 Andrew Ning - - PDF document

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Integral Boundary Layer Equation Lecture 9 ME EN 412 Andrew Ning - - PDF document

Integral Boundary Layer Equation Lecture 9 ME EN 412 Andrew Ning aning@byu.edu Outline Examples Integral Boundary Layer Equation XFOIL Demo Examples Example 1: Estimate friction drag on wakeboard Example 2 Show that the skin friction


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Integral Boundary Layer Equation

Lecture 9

ME EN 412 Andrew Ning aning@byu.edu

Outline

Examples Integral Boundary Layer Equation XFOIL Demo

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SLIDE 2

Examples Example 1: Estimate friction drag on wakeboard

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Example 2

Show that the skin friction drag of the triangular flat plate is given by: D = 0.885 U 3/2H

  • ρµL

Assume laminar flow.

H L U

Compute the drag coefficient assuming a Reynolds number based on length of the plate of ReL = 5e5. The reference area for the drag coefficient should be the triangular planform area. Return your answer in “counts” of drag. One count is 1/10,000

  • r in other words CD = 0.00123 would be 12.3

counts of drag.

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Integral Boundary Layer Equation

How can we estimate drag due to shear more generally?

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How can we estimate drag due to shear more generally?

streamline

Von Karman Momentum Integral Equation

dθ dx + θ Ue (H + 2)dUe dx = 1 2cf where H = δ∗/θ

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If there is no pressure gradient: dθ dx = 1 2cf

XFOIL Demo

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SLIDE 7