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Pipeline Design for Isothermal, Laminar Flow of NonNewtonian Fluids
0 INTRODUCTION/PURPOSE
1 SCOPE
2 FIELD OF APPLICATION
3 DEFINITIONS
4 RHEOLOGICAL BEHAVIOR OF PURELY VISCOUS
NONNEWTONIAN FLUIDS
4.1 Experimental Characterization
4.2 Rheological Models
5 PRESSURE DROPFLOW RATE RELATIONSHIPS
BASED DIRECTLY ON EXPERIMENTAL DATA
5.1 Use of Shear Stress – Shear Rate Data
5.2 Tubular Viscometer Data
6 PRESSURE DROP – FLOW RATE RELATIONSHIPS BASED ON RHEOLOGICAL MODELS
7 LOSSES IN PIPE FITTINGS
7.1 Entrances Losses
7.2 Expansion Effects
7.3 Contraction Losses
7.4 Valves
7.5 Bends
8 EFFECT OF WALL SLIP
9 VELOCITY PROFILES
9.1 Velocity Profile from Experimental FlowCurve
9.2 Velocity Profile from Rheological Model
9.3 Residence Time Distribution
10 CHECKS ON THE VALIDITY OF THE
DESIGN PROCEDURES
10.1 Rheological Behavior
10.2 Validity of Experimental Data
10.2 Check on Laminar Flow
11 NOMENCLATURE
12 REFERENCES
FIGURES
1 FLOW CURVES FOR PURELY VISCOUS FLUIDS
2 PLOTS OF D∆P/4L VERSUS 32Q/ɳD3 FOR PURELY VISCOUS FLUIDS
3 LOGLOG PLOT OF t VERSUS ý
4 FLOW CURVE FOR A BINGHAM PLASTIC
5 LOGLOG PLOT FOR A GENERALIZED BINGHAM
PLASTIC
6 CORRELATION OF ENTRANCE LOSS
7 CORRELATION OF EXPANSION LOSS
8 EFFECT OF “WALL SLIP” ON VELOCITY PROFILE
9 D∆P/4L VERSUS Q/ɳR3 WITH WALL SLIP
10 EVALUATION OFUs WITH Ʈw
11 VARIATION OF Us WITH Ʈw
12 PLOT OF D∆P/4L VERSUS 8 (ū Us)/D FOR
CONDITIONS OF WALL SLIP
13 CUMULATIVE RESIDENCE TIME DISTRIBUTION
TO POWER LAW FLUIDS
14 EFFECTS OF TUBE LENGTH AND DIAMETER ON
RELATIONSHIP BETWEEN D∆P/4L AND 32Q/ɳD3
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