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# Category: Unit Operations & Transport Phenomena

## Analytical Solutions for Transport Processes: Fluid

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We start by postulat- ing that a solution of the following product form can be obtained: Substitution of this trial function into Eq. 12.1-14 and subsequent division by the product f (q)g(d gives The left side is a function of 7 alone, and the right side is a function of '7 alone. A mixture of two liquids or a liquid and vapor can be separated by passing it to a flash drum at a fixed temperature and pressure. Dr Francisco Trujillo is a senior lecturer at the school of Chemical Engineering.

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The molar fluxes are known to be constants from the equations of continuity for the three species. Inspection of Eq. (7.21) shows that the last four terms are forces, while the first three terms involve momentum changes: k=(uu)lTave~ 1 -(uu)2’““~-plNlSl-p U U 1.av.z 2, avc 2 N&-F,,+Feti 2 (7.21) In this equation, the terms (-pINISI) and (-p2N2SJ are vector forces, associated with the absolute pressure acting in a direction perpendicular to each surface S, and $. Gas mole fractions entering and leaving are 0.009 and 0.001.

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Polymers are versatile because their properties are so wide-ranging, as is evident even in the conceptually simple polymers made from a single molecular species. The profession is vitally important to the health of the nation's technical industries. While the lecture content will be the same as the 300-level course, students enrolled in CHE 444 will have more advanced assignments. The governing equation for the thin-film shape function often takes the form of a “nonlinear diffusion equation,” and this allows the scaling behavior of the thin-film dynamics to be deduced by means of a similarity transformation (“advanced” dimensional analysis), without necessarily solving the resulting nonlinear equation.

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Wall heat flux for turbulent flow in tubes. (a) Summarize the assumptions in 513.4. (b) Work through the mathematical details of that section, taking particular care with the steps connecting Eq. 13.4-12 and Eq. 13.4-16. (c) When is it not necessary to find the constant C, in Eq. 13.4-12? 13C.1. What is the temperature at the center line of the element? In this example we let c,, = 0 and break the analogy with Exam- Laminar Flow Along a ple 12.4-1 by letting A react with B by an nth order homogeneous reaction, so that RA = Soluble Flat Plate -k,"'c;.

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Write sufficient boundary conditions to integrate Eq. 18B.19-1 for this situation. Applies all previous courses to the design of safe, economical and environmentally benign chemical processes. What is the rate of heat loss if wall surface temperature is -12.o X= 20 .1"C outside? What is the rate of the naphthalene sublimation? 10-26. Batch settling test data are as follows: 14-37. The same is true in biological systems, and the understanding of the functioning of the human body will re- quire much more detailed descriptions of the interactions among chemical kinetics, catalysis, diffusion, and turbulence.

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Basic cell biology and biophysical chemistry principles related to quantitative analysis of transport phenomena and chemical reactions. Describe the concept of self-diffusion and outline an experiment to estimate a self-diffusion coefficient. 748 TRANSPORT PROPERTIES 14.3. Example 4.1 will emphasize the seriousness of confusing A, with the inside area (S = z<). In gas-solid fluidization, there are four separate regimes of operation (in contrast to the liquid-solid case, for which there is just one).

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What is the heat transfer surface needed? CHEN 5810 BIOMEDICAL ENGINEERING (3) LEC. 3. The bed solids surfaces are kept at 15.6"C. Determine the rate of drying (i.e., water removal) of the system of problem 11-19 if the particle surface areahnit bed volume is 54.9 m-'. 11-21. This system is a mixed free-forced convection case. The Fourier, Fick and Newton equations are all empirical and have the same form. The mechanism is not the same: 1) Molecular diffusion occurs in multicomponent mixtures with a concentration gradient as the driving force. 2) Momentum transfer occurs perpendicular to the direction of the flow ( the direction of the pressure drop that causes the flow). 3) Heat transfer occurs by molecular transport ( conduction) in solids, does not involve flow or relative motion of the molecules 36.

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This must show that you will benefit from and finish the course successfully. If a mathematical expression, such as in Eq. (13.66), Eq. (xxiii) in Example 13.2, and Eq. (13.82), is available to relate T to X, then the instantaneous rate of heat transfer (at any time) can be calculated directly with Fourier’s law: (q/A)x = -k(aTldx) (2.4) where the partial derivative is evaluated analytically. The partial pressure-distance profile is nonlinear 176 BASIC CONCEPTS IN TRANSPORT PHENOMENA Pa.1 4 Z2 PA.2 FIGURE 5.9 Pressure-distance protile in diffusion through a stagnant film of species B. for the (ZVn =0) case, as shown in Fig. 5.9.

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Therefore, knowing the dry and wet bulb temperatures and the mole fraction of the water vapor adjacent to the wick (x,,), we can calculate the upstream composition XA, of the air stream from The exponent n depends to a slight extent on the geometry, but is not far from & and the quantity (Sc/PrI1-" is not far from unity.* Furthermore, the wet bulb temperature is seen to be A somewhat different equation, with 1 - n = 0.56, was recommended for measurements in air by C. Air circulates at 60°C through a duct.102-m diameter sight hole.7"C. 9-26.

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What is the maximum rate of slurry that can be handled? 14-54. In 920.1 we discuss a variety of time-dependent diffusion problems. E ): dV _d6' n3N2ph(r: .3 m) [(0.794 x 1 0-9 m3/sec [:f7]) dV d0 Example 14-5 Sodium sulfate crystals are to be removed from a liquid solution (viscosity of 0. There are also phenomena for gas transport, known as the slip-flow phenomena, in which the mean free paths are comparable to the pore dimensions: but we shall not discuss these here.

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