CHEMICAL ENGINEERING
THE BOUNDARY LAYER 295 Du^2 sυ {[ 2 cos 2 y υ ]l 0 1 2 ∫ 1 0 ( 1 cos y υ ) d (y υ ) } Du^2 sυ { 2 1 2 C [ 1 sin ...
296 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS The mass flux across 1 – 2 is: ∫L 0 uxdy. The change from 1–2 to 3–4 is: ∂ ∂x {∫ L ...
THE BOUNDARY LAYER 297 ∂ ∂x υ {∫ 1 0 [ sin 2 y υ 1 2 C 1 2 cos y υ ] d y υ D 2 υus ∂ ∂x υ [ 2 cos 2 y υ 1 2 y υ C ...
SECTION 12 Momentum, Heat and Mass Transfer PROBLEM 12.1 If the temperature rise per metre length along a pipe carrying air at 1 ...
MOMENTUM, HEAT AND MASS TRANSFER 299 The heat transferred to the air Dud^2 / 4 CpT 2 T 1 Duð 0. 0502 / 4 1. 19 Cp 3 ...
300 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 12.5 Air at 320 K and atmospheric pressure is flowing through a smooth pipe ...
MOMENTUM, HEAT AND MASS TRANSFER 301 PROBLEM 12.6 Obtain an expression for the simple Reynolds analogy between heat transfer and ...
302 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Since near a surface dux/dyis positive and assumingRyis approximately constant at a ...
MOMENTUM, HEAT AND MASS TRANSFER 303 the surface. Obtain the relation betweenuCandyCin the laminar sub-layer. Outside the lamina ...
304 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 12.9 Calculate the rise in temperature of water flowing at 4 m/s through a s ...
MOMENTUM, HEAT AND MASS TRANSFER 305 both heat and mass transfer are taking place between the gas stream and the liquid film. Th ...
306 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 12.13 Obtain the Taylor – Prandtl modification of the Reynolds’ analogy betw ...
MOMENTUM, HEAT AND MASS TRANSFER 307 as fully developed. The ratio of the velocity at the edge of the laminar sub-layer to the m ...
308 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 12.16 Explain the importance of the universal velocity profile and derive th ...
MOMENTUM, HEAT AND MASS TRANSFER 309 Given that for a smooth surface,uCD14 atyCD30, then: B^0 D 14 2 .5ln30D 5. 5 and: uCD 2 . ...
310 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Solution The derivation of the Taylor – Prandtl modification of the Reynolds analogy ...
MOMENTUM, HEAT AND MASS TRANSFER 311 Solution The Universal Velocity Profile is discussed in detail in Section 12.4, and in the ...
312 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS may be written as: hD[1 ̨ 1 Sc]Dh/Cp[1 ̨ 1 Pr] (equation 12.121) (i) The ...
MOMENTUM, HEAT AND MASS TRANSFER 313 the surface. Obtain the relation betweenuCandyCin the laminar sub-layer. Outside the lamina ...
314 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Evaluating:yC: yC RHS 10 11.26 15 12.27 20 13.00 25 13.5 8 10.7 7 10.4 12 11.71 11 1 ...
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