CHEMICAL ENGINEERING

FLOW IN PIPES AND CHANNELS 35 PROBLEM 3.20 Oil of viscosity 10 mNs/m^2 and specific gravity 0.90,flows through 60 m of 100 mm di ...

36 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Solution OilflowrateD 20 , 000 ð 1000  24 ð 3600  D 231 .5 kg/s or 231 / 960 D ...

FLOW IN PIPES AND CHANNELS 37 106 N/m^2. What will the pressure drop be at the sameflowrate if it is necessary to replace the pi ...

38 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS The Blasius equation is:R/u^2 D 0. 0396 Re^0.^25 (equation 3.11) and hence: 15. 21 ...

FLOW IN PIPES AND CHANNELS 39 From equation 3.8,PD 4 R/u^2 l/du^2 D 4 ð 0. 0027 ð 1200 ð 950 ð 2. 042 / 0. 5  D 1. 03 ...

40 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Solution A force balance on an element offluid of radiusrgives: Pr^2 D 2 rl du ...

FLOW IN PIPES AND CHANNELS 41 From Fig. 3.8:ReDud/D 5 ð 104 ∴uD 5 ð 104 ð 1 ð 10 ^3 / 1000 ð 0. 025 D 2 .0m/s Flowrate pe ...

42 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS or:  dux dr D ( P 2 k^00 l ) 1 / 2 r^1 /^2 dr ∴ uxD 2 3 ( P 2 k^00 l ) 1 / 2 r^ ...

FLOW IN PIPES AND CHANNELS 43 wherekD 4 .0Ns^0.^4 /m^2 andnD 0 .4, calculate the volumetricflowrate per unit width if thefluidfi ...

44 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS h Pointer Retaining spring Rotating outer cylinder Stationary inner cylinder ri ro Fi ...

FLOW IN PIPES AND CHANNELS 45 As motion just initiates under the action of this torque, this shear stress must equal the yield s ...

46 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS AplotofQagainstPon logarithmic axes, shown in Figure 3e, gives a slope, 1 /nD 1 . ...

FLOW IN PIPES AND CHANNELS 47 PROBLEM 3.34 Data obtained with a cone and plate viscometer, cone half-angle 89°cone radius 50 mm, ...

48 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS solid surfaces at that radius isrsin 4 whereωis the angular velocity of rotation. The ...

FLOW IN PIPES AND CHANNELS 49 25000 20000 Shear stress (N/m 2 ) 15000 10000 5000 0 500 1000 Shear rate (s−^1 ) 1500 2000 3000 Sl ...

50 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Solution The Casson equation is a particular form of equation 3.122 which applies to ...

FLOW IN PIPES AND CHANNELS 51 PROBLEM 3.36 The rheological properties of a particular suspension can be approximated reasonably ...

52 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS For shear-thinningfluids, (^) a!1at zero shear stress and (^) a!0atinfinite shear str ...

FLOW IN PIPES AND CHANNELS 53 PROBLEM 3.38 A liquid whose rheology can be represented by the power-law model isflowing under str ...

54 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS From which, whenaD 0 .0025 m and D 1 ð 10 ^3 Ns/m^2 , kD 6 .24 Nsn/m^2 PROBLEM 3.39 ...