CHEMICAL ENGINEERING
FLOW IN PIPES AND CHANNELS 55 At the free surface whereyDS: usD (g k ) 1 /n( n nC 1 ) S nC 1 n (i) The volumetricflowrateQis gi ...
56 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 3.40 Afluid which exhibits non-Newtonian behaviour isflowing in a pipe of dia ...
FLOW IN PIPES AND CHANNELS 57 WhensDr,uxD0 (the no-slip condition): and hence the constant D ( P 2 kl )^1 n ( n nC 1 ) r nC 1 ...
58 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Solution For a Bingham-plastic material, the shear stressRsat radiussis given by: Rs ...
FLOW IN PIPES AND CHANNELS 59 D Rr^3 (^4) p { 1 4 / 3 X 2 X^2 C 4 X^3 5 3 X^4 } (ii) In the core region Substituting:sDrcD ...
SECTION 4 Flow of Compressible Fluids PROBLEM 4.1 A gas, having a molecular weight of 13 kg/kmol and a kinematic viscosity of 0. ...
FLOW OF COMPRESSIBLE FLUIDS 61 The kinetic energy termDG/A^2 lnP 1 /P 2 D 4. 413 ^2 ln 111. 1 / 101. 3 D 1 .81 kg^2 /m^ ...
62 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS From Fig. 3.7, forReD 3. 18 ð 106 ande/dD 0. 005 / 25 D 0 .0002, R/u^2 D 0. 0017 I ...
FLOW OF COMPRESSIBLE FLUIDS 63 Substituting: 2. 02 2. 62 1012 / 2 ð 2. 6 ð 106 ð 0. 468 C 4 0. 0023 500 / 0. 05 G ...
64 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS From Fig. 3.7 this corresponds to a value ofe/dof approximately 0.002, which is reaso ...
FLOW OF COMPRESSIBLE FLUIDS 65 Substituting in equation 4.55: 7. 0 ^2 ln 7 /P 2 CP^22 72 ð 106 / 2 ð 7 ð 103 ð 3. 79 C ...
66 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Outside area of pipeD 30 ðð 0. 025 D 2 .36 m^2. Heat requiredD 7. 34 / 2. 36 D 3 ...
FLOW OF COMPRESSIBLE FLUIDS 67 v 2 may be calculated from equation 4.77 using specified values ofG/Aand substituted in equation ...
68 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS 5000 4000 3000 G /A (kg / m 2 s) 2000 1000 0 987 65 Pressure P 2 (MN /m^2 ) 10 432 10 ...
FLOW OF COMPRESSIBLE FLUIDS 69 Whene/dD 0 .002 andReD 105 ,R/u^2 D 0 .003 from Fig. 3.7. G/A^2 lnP 1 /P 2 CP^22 P^21 / 2 ...
70 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS A further assumed value ofdD 0 .05 m gives a value of the right hand side of equation ...
FLOW OF COMPRESSIBLE FLUIDS 71 PROBLEM 4.11 Air is flowing at the rate of 30 kg/m^2 s through a smooth pipe of 50 mm diameter an ...
72 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS and: P 1 v 1 ∫ dP P C ∫ gdzD 0 and: P 1 v 1 lnP 2 /P 1 Cgz 2 z 1 D 0 v 1 D 22. ...
FLOW OF COMPRESSIBLE FLUIDS 73 If the flow is increased by 25%,GD 1. 25 ð 0. 58 D 0 .725 kg/s G/AD 41 .19 kg/m^2 s and: ReD 0 ...
SECTION 5 Flow of Multiphase Mixtures PROBLEM 5.1 It is required to transport sand of particle size 1.25 mm and density 2600 kg/ ...
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