Ch09_4_DR - MAE130B Ch 09 (4) Drag Changzheng Huang Drag 1....

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MAE130B – Ch 09 (4) Drag Changzheng Huang
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Ch 09 (4) Changzheng Huang 2 Drag 1. Friction drag and pressure drag 2. Example 3. Reynolds number dependence 4. More examples
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Ch 09 (4) Changzheng Huang 3 1. Friction drag and pressure drag D L θ x yp τ w U To compute lift and drag, () ( ) ( ) sin cos cos sin xw yw dF dA pdA dF dA pdA θθ =+ =− sin cos cos sin Dd F d Ap d A Ld F d d A == + ∫∫ n dx dy ds Note that here θ is the angle measured from the negative x-axis to the outward normal direction. dA=b|ds|. b is the width in z-dir. U
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Ch 09 (4) Changzheng Huang 4 1. Friction drag and pressure drag U D L θ x yp τ w U sin cos cos sin w w Dd A p d A Ld A p d A θθ τθ θ =+ =− ∫∫ n dx dy ds Friction drag and pressure drag, sin cos wf p A p d A D D = + Drag coefficients, 22 sin 11 w f Df dA D C UA ρρ == cos p Dp p dA D C
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Ch 09 (4) Changzheng Huang 5 Drag 1. Friction drag and pressure drag 2. Example 3. Reynolds number dependence 4. More examples
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Ch 09 (4) Changzheng Huang 6 2. Example U p 0 θ θ τ w p dA bRd θ = 0 2 1 2 p p p
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Ch09_4_DR - MAE130B Ch 09 (4) Drag Changzheng Huang Drag 1....

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