A laminar boundary layer velocity profile is approximated by the two straight-line segments indicated in Fig. P9.30. Use the momentum integral equation to determine the boundary layer thickness, δ S(x), and wall shear stress, Ep-Fn(x). Compare these results with those in Table 9.2. δ/2 lu 2U U Figure P9.30

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30-11-2022
Engineering

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A laminar boundary layer velocity profile is approximated by the two straight-line segments indicated in Fig. P9.30. Use the momentum integral equation to determine the boundary layer thickness, δ S(x), and wall shear stress, Ep-Fn(x). Compare these results with those in Table 9.2. δ/2 lu 2U U Figure P9.30

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rekharaypriti8910 rekharaypriti8910 · Answer 1 · 2022-12-03T20:29:13+01:00

When a flow is accelerating and Ue(x) = (Uo/L)x, the von Karman boundary-layer momentum integral equation can be used to calculate how the wall shear stress varies with downstream distance.

According to the principle of conservation of momentum, the rate at which momentum accumulates in a control volume is equal to the net rate of momentum entering the volume (also known as the momentum flux) plus the total of all external forces acting on the volume. Applied in the x-direction, this vector equation. The fundamental governing equations for a viscous, heat-conducting fluid are the Navier-Stokes equations. It is also known as the momentum equation and is a vector equation that is created by applying Newton's Law of Motion to a fluid element.

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