Shell Momentum Balance

# Shell Momentum Balance - Shell Momentum Balance for Steady...

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1 Applications of momentum principle Flow in vertical circular tube 1. Define domain boundary 2. Choose a coordinate system and CV 3. Make assumptions a. Fluid is incompressible and Newtonian b. Pressure is uniform in r and θ direction, but may vary in z direction c. One dimensional flow with z as the main flow direction d. Velocity is uniform in θ and z direction: z u Shell Momentum Balance for Steady Laminar Flow ; r zz uu z θ == ∂∂ 4. Write a balance for z-momentum Shell Momentum Balance for Steady Laminar Flow • For z-momentum transferred across z-plane at z = 0 (influxes) 0 0 mol in z z con in z z M M = = = = and at z = L (outfluxes) out z zL z M M = = = = Net z-momentum transferred through the control volume in z-direction total net z z M

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2 4. Write a balance for z-momentum (cont.) Shell Momentum Balance for Steady Laminar Flow • For z-momentum transferred across r-plane at r = r (influxes) mol in z r con in z r M M = = and at r = r + r (outfluxes) Net z-momentum transferred through the control volume in z-direction total

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## This note was uploaded on 04/25/2008 for the course PGE 322K taught by Professor Dicarlo during the Spring '08 term at University of Texas.

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Shell Momentum Balance - Shell Momentum Balance for Steady...

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