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For polymethylmethacrylate the Twa]l and n values can be obtained from the rheological data presented by Westover (20). The estimation of heat transfer coefficients is discussed in Chapter 14. It is desired to operate the viscometer in Example 10.1 in the turbulent region. In this unique program, students receive intensive instruction to broaden their education in the technical aspects of the profession, and also in communication skills and human relations, which are frequently decisive factors in the success of an engineering enterprise.

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Predict the viscosities (in cp) of chlorine-air mixtures at 75°F and 1 atm, for the following mole fractions of chlo- rine: 0.00, 0.25, 0.50, 0.75, 1.00. It contains hundreds of solutions of this equation for a wide variety of boundary and initial conditions." g11.3 THE BOUSSINESQ EQUATION OF MOTION FOR FORCED AND FREE CONVECTION The equation of motion given in Eq. 3.2-9 (or Eq. Discuss the turbulent velocity profile in general terms from the most ideal representation to the least desirable. 6.9.

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Case of Mass Transfer Let’s study the concentration profile of a liquid A in a membrane. However. concentration.234 MASS TRANSFER. The above discussion has shown that the velocity U, in Eq. (3.21) is the average velocity of whatever property is being convected, and that velocity is not, in general, equal to the volume average velocity. To obtain macroscopic descriptions we may use the generalized Maxwell-Stefan equations (Eq. 24.5-4), and we shall restrict ourselves here to concentration- and pressure-driven flow.

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Prandtl also assumed that r/r0 is unity in the near-wall region. Chemical Engineers now had the training to build industries from the ground up. Students choose the following electives to meet the course requirements of most medical schools. Units of the molar flux are lb moles/hr ft2, g mole/sec cm2, and kg mole/sec m2. This prediction is only qualitatively satisfactory, as discussed in Section 2.5.3.

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Reduced temperature T, = T / T, interest, then pc can be calculated from p, = p/pY; or (ii) if critical p-V-T data are avail- able, then p, may be estimated from these empirical relations: Here p, is in micropoises, p, in atm, Tc in K, and in cm3/g-mole. A cylindrically shaped porous core sample from an oil field is 0. 4-9. The mass flow rate of the polymer is 400 g/min. By symmetry, all derivatives with respect to 8 are zero.

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What is the pressure change if entrance average velocity is 3 d s e c? In connection with the bead spring models of polymer thermal conductivity, it has been shown by R. T is in OK. u is in A.6 TRANSPORT PROCESSES AND TRANSPORT COEFFICIENTS This approach gives the following expression for viscosity. If Eqs. (6.87) and (6.97) are compared, one sees that the mass transfer coefficient kf is effectively (DlAyr).

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As with the other transport properties, the thermal conductivity of gases 48 BASIC CONCEPTS IN TRANSPORT PHENOMENA TABLE 2.2 The transport properties ~isrosity Temperature, K pXlo(, Nsm-* 17.2 17.5 18.5 20.8 22.9 lll~comdactivtty Temperature, K 273.15 2Eo.00 3cnoo 350.00 400.00 213 273.15 373.15 k, W m-l I(-’ 0.0241 0.0247 0.0261 0.0297 0.0331 0.0164 0.0221 0.0320 Air 273.15 280.00 3w.00 350.00 400.00 273.15 373.15 673.15 Carbon dtostde 303.15 373.65 473.25 EtbIlOl 383.15 423.15 473.15 573.15 131 251 151 181 219 93.3 300 473.15 375 401 0.0167 Oh83 0.0222 0.0249 111 123 137 165 120 163 315 432 12.0 Solfor dioxide 283.15 373.15 773.15 1173.15 373.15 273.15 0.0083 Water 373.15 0.0248 (See page 50 forfootnotes) may be predicted more accurately than the thermal conductivity of liquids or solids.

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Note that (w,,., Tr) must lie on the saturation curve, since equilibrium is very closely approximated. Adsorption is the union of atoms, ions or molecules from a gas, liquid to a surface. Carbon dioxide is very soluble in aqueous sodium hydroxide and is absorbed, whereas the nitrogen is not absorbed appreciably. Also, this equation can be used for gases by using the density of the gas as evaluated at the mean of the inlet and outlet pressures [Gl].

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For any given pure ma- terial, m,, depends in a characteristic way on v. To convert from expanded notation to Cartesian tensor notation: 1. In order to better grasp the impact of thermal diffusion.. heat and mass transfer are interrelated.concentration of A. chemical reaction. = CNiVi (10-3) I where U.. In any case, let the subscripts “hi” and “ho” refer to the fluid on the shell-side. The following examples illustrate the application of Fick’s law to a problem in molecular diffusion and the use of Eqs. (2.37) through (2.39).

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Transformers, circuit breakers, and feed-circuit switches are usually located in substations. Although Table 11.4-1 is a useful summary, for problem solving we use the equa- tions written out explicitly in the several commonly used coordinate systems. The structure and operational principles of different nature biomotors will be discussed. M. van Koppen) Practical Interfacing in the Laboratory: Using a PC for Instrumentation, Data Analysis and Control (Stephen E.