Sol_Taller_Mecánica de Fluidos - =(6 3(6 2 0 6 6 3 = 0 = =...

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𝑉 (?, ?, ?) = (6 + 3?)?̂ + (6 − 2?)?̂ + 0? ̂ 6 + 3? = 0 → ? = − 6 3 𝑚 = −2 𝑚 6 − 2? = 0 → ? = 6 2 𝑚 = 3 𝑚 (0,0) ? = 6 + 3(0) = 6 𝑚/? ? = 6 − 2(0) = 2 𝑚/? ? = 0 ?𝑎𝑝𝑖??? = √? 2 + ? 2 + ? 2 = √40 = 6.32 𝑚/? Show[StreamPlot[{6 + 3 ∗ ?, 6 − 2 ∗ ?}, {?, −10,10}, {?, −10,10}, ImageSize → Large, PlotRange → Full, StreamScale → {{0.08,0.08}, Automatic}, StreamStyle → {Red,Blue}, PlotLabel → Style[Framed["Campo de Velocidades"],17, Bold, Black, Background → Lighter[Gray]], Frame → True, FrameLabel → {?, ?}, LabelStyle → Directive[Black, 17, Bold], StreamPoints → 60], Graphics[{PointSize[0.03], Red, Point[{−2,3}]}]]
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𝑎 = 𝜕𝑉 𝜕? + (𝑉 ∙ ∇)𝑉 𝑎 ? = 𝜕? 𝜕? + ? 𝜕? 𝜕? + ? 𝜕? 𝜕? + ? 𝜕? 𝜕? 𝑎 ? = ? 𝜕? 𝜕? = (6 + 3?)(3) = 9(? + 2) 𝑚 ? 2 𝑎 ? = 𝜕? 𝜕? + ? 𝜕? 𝜕? + ? 𝜕? 𝜕? + ? 𝜕? 𝜕? 𝑎 ? = ? 𝜕? 𝜕? = (6 − 2?)(−2) = 4(? − 3) 𝑚 ? 2 𝑎 ? = 0 𝑚 ? 2 Graficando la función nos queda: Show[StreamPlot[{9 ∗ (? + 2),4 ∗ (? − 3)}, {?, −10,10}, {?, −10,10}, ImageSize → Large, PlotRange → Full, StreamScale → {{0.09,0.09}, Automatic}, StreamStyle →
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