## M. Le Maguer

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The general equations for unsteady flow are given in Chapter 3. 2. 1 Shell Momentum Balances and Boundary Conditions 41 Fluid containing I I tiny particles Fig. 2.0-1 (a) Laminar flow, in which fluid layers move smoothly over one another in the direction of flow, and ( b ) turbulent flow, in which the flow pattern is complex Direction (a) O - L ~ ) of flow and time-dependent, with considerable motion perpendicular to the principal flow direction. If the heat loss at the windows outer surface is given by h (TI.

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Answers: (a) 0.96; (b) 0.99; (c) 1.01 4A.5 Numerical demonstration of the von Klirmin momentum balance. (a) Evaluate the integrals in Eq. 4.4-13 numerically for the Blasius velocity profile given in Fig. 4.4-3. (b) Use the results of (a) to determine the magnitude of the wall shear stress T,,(,=~ (c) Calculate the total drag force, F,, for a plate of width W and length L, wetted on both sides. We give the mass transfer expression here (rather than wait until Part 111) because electrochem- ical mass transfer experiments give better precision than heat transfer experiments and the available range of Schmidt numbers is much greater than that of Prandtl numbers.

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In the following discus- sion all properties are evaluated at a common reference state, with composition given as a mole fraction [xref1 = a,[xb1 + (1 - a,)[xol (22.9-26) W. The quantity 121 dE,/dyl ap- pearing here corresponds to 9zL of Eq. 21.3-1, and to the expressions for v'" and a'" im- plied by Eqs. 5.4-4 and 13.3-3. American Chemical Society.334 ADDITIONAL STAGED OPERATIONS WATER Figure 13-12.1. Mathematical representations of microbial systems. A-f=o.s4s~’ 0.4 B-?=1.67s-’ C - f = 4.25 s-’ Time, s FIGURE 15.8 Stress overshoot: 35 percent PMMA in DEP at 20°C. (From Chung, PhD Dissertation, The Ohio State University, Columbus, Ohio, 1985.) NON-NEWTONIAN PHENOMENA 765 Woke’s Iaw.

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SOLUTION We begin, as in Example 7.6-5, by writing the steady-state mass and mechanical energy bal- ances between reference planes 1 and 2 of the two flow meters shown in Fig. 15.5-5. Calculate the heat flow between the two Radiant Heat Transfer disks (a) when no other surfaces are present, and (b) when the two disks are connected by an Between Disks adiabatic right-cylindrical black surface. Find the filter medium resistance and the specific cake resistance for a constant pressure filtration (pressure change of 3.33 atm) Slurry concentration is 23.47 kg/m3.

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Hence, U dc = k,a(Ci,t - C) d h where U is the superficial velocity, Cint is the interface concentration, h is the height, a is the surface per unit volume, and k, is the mass transfer coefficient. T n l e t ) hnDAT (0.0055)(4.0254 m) g'D A P = 1708 N/m2 We now repeat for the 1.14"C)n L = 4.27-cm-diameter pipe at 4.46.56)"C(4186.074 w/m2 "C)(n)(0.829 x kg/m sec)n/4(0.(2)(0.'4 1. If the floor is at 325°K and the walls are at 1200"K, what is the drying rate per unit length of the oven in kg/sec m?

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Alternatively, the student may choose to complete a senior thesis in a topic area relevant to the concentration. A typical sensing element for one of these devices is shown in Fig. 6.4. The interaction of chemical and physical transport processes in affecting reactor design and operating characteristics. Analysis and solution of steady state and transient diffusion problems including Fourier, Darcy and Fick's law analogies. The solid is in the shape of a sphere 1 cm in diameter.

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At the end of s14.2 we indicated that evaluating the physical properties at the film temperature is a suitable empiricism. Moreover, various systems of units are used, often forcing the user to perform tedious conversions before a 'quick' calculation can be started. MOLECULAR TRANSPORT MECHANISMS 55 transport.properties for liquid water at 0°C are compared: D= 1.36~ 10-9m2s-’ a = 142 x lo-9 m2 s-l (2.53) v= 1800 x 10-9m2s-’ It is fortunate that, from an experimental standpoint, the various mechanisms are described by the same equation.

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The preceding equations are not applicable for highly viscous non-Newtonians such as molten polymers because of factors such as the materials' compressibility or severe viscous heating effects. How much would the heat loss be reduced by covering the inside wall with aluminum foil? 9-28. Get the full title to continue reading from where you left off, or restart the preview. For both cases the bulk average temperature is given by Repeating the A P calculation, we find (Figure 3-3) that f = 0.0047 at the Re of 78,080.

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ISBN: 0-471-43819-7 We have previously discussed two of the three modes of heat transfer (conduction and convection). At even a higher velocity, entrainment is initiated. Is the analogy between Fourier's law of heat conduction and Eq. 13.3-1 a valid one? 5. Topics to be covered: physics of solids, unit operations of solid state materials (bulk crystal growth, oxidation, vacuum science, chemical and physical vapor deposition, epitaxy, doping, etching).

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Case studies will illustrate how these principles are used to understand disease, control cellular behavior, and design protein-based therapeutics. For this purpose we turn to the Fourier transform, a standard tool for analyzing noisy processes. At time t=t0, the top of the membrane has a high concentration of liquid A (C A in moles/ m3) and, in the rest of the membrane there is no liquid A ( figure 2.2). At time t=t1, material had diffused towards the bottom and the concentration is shown in Figure 2.2. After some time ( t=t∞) we will observe a straight line ( Like for the case of heat transfer) 27.