Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN: 9780134746241
Author: Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher: PEARSON
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Question
Consider a steady state flow situation illustrated below. How high will the water level h, stand in the pipe (D = 0.1 [m]) if the flow rate of water at steady state is F = 0.0005 [m³/s]. The pipe is partially (L = 0.5 [m]) filled with spherical marbles of dp=2.5 [mm] in diameter. Calculate the level 'h' of water in the pipe at steady state condition. Packed Bed of spherical particles, do + 1.75 Ergun eq. fits at all Rep 150(1-€) ff Re ~ O Burke - Plummer eq. fits at high Rep ^^ 6 Data: L = 0.5 [m]; D = 0.1 [m]; dp = 2.5 [mm]; PH20 = 1000 [kg/m³]: HH20 = 0.001[kg/ms] F = 0.0005 [m³/s] 921= No Hints! You are experienced modelers now!.....OK, OK - Think about these questions: 1. Where will (between which two points) I apply the MEB? 2. What is the driving force for flow? 3. What is the source of friction resisting the flow? Use the to 15 eq. Graphs (You recognize them from Lecture of course!) on the following page. 1 11= पै (3-1)0GI Kozeny-Carman fits at low Rep f₁ = F ก 3-1 . 403254 £3 Rep, 10⁰9 6 पं 2 COI 9 P 100 Rep = dp Up Pg 2 Ol atm P₂ atm (3-1)d (1) 3-1 h (2) L Loose packing 0.8 Normal packing w Bed 8pion Z=0 3 © Spheres 0.4 dense Cylinders packing A Raschig rings x. Berl saddles Glass rings + Nickel saddles ODA 1.0 0.8 0.6 Particle sphericity, 0.4
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Transcribed Image Text:Consider a steady state flow situation illustrated below. How high will the water level h, stand in the pipe (D = 0.1 [m]) if the flow rate of water at steady state is F = 0.0005 [m³/s]. The pipe is partially (L = 0.5 [m]) filled with spherical marbles of dp=2.5 [mm] in diameter. Calculate the level 'h' of water in the pipe at steady state condition. Packed Bed of spherical particles, do + 1.75 Ergun eq. fits at all Rep 150(1-€) ff Re ~ O Burke - Plummer eq. fits at high Rep ^^ 6 Data: L = 0.5 [m]; D = 0.1 [m]; dp = 2.5 [mm]; PH20 = 1000 [kg/m³]: HH20 = 0.001[kg/ms] F = 0.0005 [m³/s] 921= No Hints! You are experienced modelers now!.....OK, OK - Think about these questions: 1. Where will (between which two points) I apply the MEB? 2. What is the driving force for flow? 3. What is the source of friction resisting the flow? Use the to 15 eq. Graphs (You recognize them from Lecture of course!) on the following page. 1 11= पै (3-1)0GI Kozeny-Carman fits at low Rep f₁ = F ก 3-1 . 403254 £3 Rep, 10⁰9 6 पं 2 COI 9 P 100 Rep = dp Up Pg 2 Ol atm P₂ atm (3-1)d (1) 3-1 h (2) L Loose packing 0.8 Normal packing w Bed 8pion Z=0 3 © Spheres 0.4 dense Cylinders packing A Raschig rings x. Berl saddles Glass rings + Nickel saddles ODA 1.0 0.8 0.6 Particle sphericity, 0.4
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