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Extra resources for Coulson and Richardson Chemical Engineering-Volume 4-Solutions to The Problems in Volume 1

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16 Sulphuric acid is pumped at 3 kg/s through a 60 m length of smooth 25 mm pipe. Calculate the drop in pressure. If the pressure drop falls by one half, what will be the new flowrate? Density of acid D 1840 kg/m3 . Viscosity of acid D 25 mN s/m2 . 00049 m2 . 00163 m3 /s. 32 m/s. 025/25 ð 10 3 D 6120 2 From Fig. 0043. 23 and Fig. 8 may be used to calculate the new flow. 02 ð 104 From Fig. 17 A Bingham plastic material is flowing under streamline conditions in a pipe of circular cross-section. What are the conditions for one half of the total flow to be within the central core across which the velocity profile is flat?

8 kN/m2 . 95 flowing at the same rate through the pipe? Assume the pipe wall to be smooth. 2 ð 105 From Fig. 2 ð 105 for a smooth pipe, Re D 12000. 33 m/s. 03 Ns/m2 . 03 D 4220 For a smooth pipe, Fig. 0048 for this value of Re. 3 m diameter pipeline. As a result of frictional heating, the temperature of the oil is 20 deg K higher at the refinery end than at the terminal end of the pipe and the viscosity has fallen to one half its original value. What is the ratio of the pressure gradient in the pipeline at the refinery end to that at the terminal end?

7 Two immiscible fluids A and B, of viscosities A and B , flow under streamline conditions between two horizontal parallel planes of width b, situated a distance 2a apart (where a is much less than b), as two distinct parallel layers one above the other, each of depth a. Show that the volumetric rate of flow of A is: Pa3 b 7 AC B 12 A l AC B where, P is the pressure drop over a length l in the direction of flow. l Fluid B RA = Shear stress at centre-plane on A CL RB = Shear stress at centre-plane on B s Fluid A Figure .

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