By J R Backhurst, J H Harker, J.F. Richardson
This quantity within the Coulson and Richardson sequence in chemical engineering includes complete labored options to the issues posed in quantity 1. when the most quantity includes illustrative labored examples through the textual content, this publication includes solutions to the more difficult questions posed on the finish of every bankruptcy of the most text.These questions are of either a customary and non-standard nature, and so will end up to be of curiosity to either educational employees educating classes during this zone and to the prepared pupil. Chemical engineers in who're trying to find a customary approach to a real-life challenge also will locate the e-book of substantial interest.* a useful resource of data for the scholar learning the cloth contained in Chemical Engineering quantity 1* A worthwhile approach to studying - solutions are defined in complete
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11 Explain the phenomenon of hydraulic jump which occurs during the flow of a liquid in an open channel. 5 m/s and a depth of 75 mm. Calculate, from first principles, the corresponding velocity and depth after the jump. 9. 12 What is a non-Newtonian fluid? Describe the principal types of behaviour exhibited by these fluids. 5 where a is the viscosity, and du/dr is the velocity gradient normal to the direction of motion. Show that the volumetric rate of streamline flow through a horizontal tube of radius a is: P 2 a5 5 2kl where P is the pressure drop over a length l of the tube.
This type of fluid remains rigid when the shear stress is less than the yield stress RY and flows like a Newtonian fluid when the shear stress exceeds RY . Examples of Bingham plastics are many fine suspensions and pastes including sewage sludge and toothpaste. The velocity profile in laminar flow is shown in Fig. 3c. Pipe wall Rw Ry r Rc y ro R=o Plug flow region Velocity distribution Figure 3c. A force balance over the pipe assuming no slip at the walls gives: P r 2 D Rw 2 rL, and P/L D 2Rw /r where Rw D shear stress at the wall.
3c. Pipe wall Rw Ry r Rc y ro R=o Plug flow region Velocity distribution Figure 3c. A force balance over the pipe assuming no slip at the walls gives: P r 2 D Rw 2 rL, and P/L D 2Rw /r where Rw D shear stress at the wall. i A force balance over the annular core where y > r0 gives: P y 2 D 2 yLRy Hence: Ry D yRw /r and y D rRy /Rw (ii) when: Ry D RY and r0 D rRY /Rw (iii) k dux /dy RY D Ry dux Ry RY 1 D D dy k k ∴ from equation (ii): kux D y 2 Rw /2r Integrating: When y D r, ux D 0, C D ∴ yRw r (iv) RY RY y C C rRw /2 C RY r.
Chemical Engineering by J R Backhurst, J H Harker, J.F. Richardson