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Lecture_9_notes

# Lecture_9_notes - ChE 374Lecture 9Bernoulli Applications...

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ChE 374–Lecture 9–Bernoulli Applications Bernoulli Equation: P ρ + v 2 2 + gz = C Δ P ρ + Δ v 2 2 + g Δ z = 0 P 1 ρ + v 2 1 2 + gz 1 = P 2 ρ + v 2 2 2 + gz 2 Assumptions: SS, Incompressible, No Friction, ( W s = 0, Q = 0, Streamline). Converting between Pressure, Velocity and Height (P, K.E., P.E.) * Each term is energy per kg ( m 2 / 2 = J/kg = kgm 2 /kgs 2 ). * Divide through by g to get the HEAD FORM with units of length: P ρg + v 2 2 g + z = C P ρg + z HGL P ρg + z + v 2 2 g EGL * Fix one term, vary another, and watch how the third changes: · Fixed z: increase v, decrease P and vice-versa; (fix v; fix P; repeat) Problem Solving: B.E. alone solve many kinds of problems. The challenge is HOW to apply it. Questions: Ask these and Answer them: * What Do I Know?

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Lecture_9_notes - ChE 374Lecture 9Bernoulli Applications...

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