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Problem 6.17

# Problem 6.17 - Problem 6.17[Difficulty 3 Given Flow in a...

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Problem 6.17 [Difficulty: 3] Given: Flow in a pipe with variable area Find: Expression for pressure gradient and pressure; Plot them Solution: Assumptions: 1) Incompressible flow 2) Flow profile remains unchanged so centerline velocity can represent average velocity Basic equations QV A = Given data ρ 1250 kg m 3 = A 0 0.25 m 2 = a 1.5 m = L5 m = u 0 10 m s = p 0 300 kPa = For this 1D flow Qu 0 A 0 = uA = Ax () A 0 1e x a + e x 2a = so ux () u 0 A 0 A = u 0 x a + e x = a x u x u v y u + = u 0 x a + e x x u 0 x a + e x = u 0 2 e x 2e x 1 e x a e x 1 + 3 = For the pressure x p ρ a x ρ g x = ρ u 0 2 e x x 1 e x a e x 1 +

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Problem 6.17 - Problem 6.17[Difficulty 3 Given Flow in a...

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