### Introduction to Transport Phenomena

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McComb, The Physics of Fluid Turbulence, Oxford University Press (1990); T. OGATA (Solution [Solutions manual] Operating System Concepts, 7th Edition, [Solutions Manual] signals and systems - M. For purposes of this problem all may be considered as spheres with the properties indicated here. Recommended: at least one engineering thermodynamics course or a Physical Chemistry course or instructor's consent. (cross-leveled with CH_ENG 7319) An introduction to the structure and properties of polymers.

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However. we illustrate a situation where mass is transferred from a soluble wall into a flowing liquid. Sutherland and Einstein originally used the gradient of osmotic pressure as the driving force, but more modern developments use chemical potential. Under fluid statics, the discussion of the barometric equation and pressure difference is insufficient for undergraduates. A furnace consists of a carborundum muffle 4.58 by 6.10 m at 1150°C and a row of 0.102-m-diameter tubes on 2.06-m centers 3.048 m above the muffle.

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ZiY2)] (9 = 231.84 ft lb, lb,’ The potential energy term is (AZ)@/& = (30)(32.1/32.174)[(ft)(ft s-‘)(lb,’ lb~fi-‘sz)] = 29.93 ft lb, lb,’ (ii) where once again g, has been added to adjust units. Suggest a set of dimensionless numbers and test the set for completeness. If the gases flow across the tubes and U is 60 W/m2 O K .5-cm tubes (i.d.. what is the exchanger's area? 8-27. 0. Charts, Wiley, New York, 2nd edition (1960)l. Define energy, potential energy, kinetic energy, and internal energy.

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Macroscopic balances for isothermal systems: The Macroscopic mass balance, the macroscopic mechanical energy balances, estimation of friction loss, Use of macroscopic balances to set up steady flow problems. 7. Consider the steady flow of a fluid over a stationary object as shown in Forced Convection Fig. 12.4-2. MOLECULAR TRANSPORT MECHANISMS 29 Fluid between plates Y I t.r I u, = 0 FIGURE 2.5 The moving plate problem. The range of values found in these cases are given in Table 10-2.

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The Allies needed tanks, fighters, and bombers all supplied with large quantities of high quality gasoline. A viscous fluid ( p = 1 pascal-sec, p = 750 kg/m3) is to be mixed in an unbaffled tank equipped with a three-bladed marine propeller. Since there are no chemical reac- tions, the masses of the individual species will also be conserved, so that m, = m i and rn, = mf, (0.3-2) (b) According to the law of conservation of momentum the sum of the momenta of all the atoms before the collision must equal that after the collision, so that in which r,, is the position vector for atom 1 of molecule A, and i,, is its velocity.

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These aforementioned equations assume a continuum, which is not justified when considering molecular collisions and the mean-free-path. 5.3.7 Diffusion with Three or More Components Equations for diffusion in multicomponent (three or more) systems may be generalized from the treatment presented earlier, and are available elsewhere [I-Q T3]. As shown in Fig. 23.1-7, the responses to a pulse input are quite different for the PFR and the CSTR. What do you conclude from Table 20.1-l? 5. Specific design projects are based on material covered in the course.

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In some cases a wall average temperature is also needed. and k ) needed to evaluate the Reynolds and Prandtl numbers. The calculation of the fluxes N,, from diffusion fluxes co and relative transfer rates is called the "bootstrap problem,"',7 and is treated well in Ref. 1. A liquid is falling over an inclined plane (angle of B with the vertical). These materials have electronic, mechanical, and optical properties that support a variety of novel technologies. By making a force balance on the sphere, show that 8 cos 8 = - ln2L What happens when fl goes to zero? sphere = rn Fig. 5C.3.

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PREREQS: (CH 231 or CH 231H) and (CH 261 or CH 261H) and (CH 232 or CH 232H) and (CH 262 or CH 262H) and (CH 233 or CH 233H) and (CH 263 or CH 263H) and enrollment in chemical, biological or environmental engineering professional programs. The equations for shear stress in the parallel plate geometry are similar to those in Table 4.5 for laminar pipe flow. The surface is completely rough if the parameter eU*/v is greater than 100; if less than 5, the roughness is negligible, and the wall acts if it were smooth [B6, K3].

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This equation is obtained by dividing Eq. 12.2-13 by y and differentiat- ing with respect to y: It is more convenient to work with dimensionless variables defined as Then Eq. 12.2-14 becomes with these boundary conditions: B. It is desired to purify a binary protein mixture using an ideal cascade of individual ultrafiltration stages of the type shown in the figure. Heat Flow For every layer, we can write: A is the cross sectional section. 57. Adding the resistances, we find the following equation: R = RA + RB+ RC Ri= Bi/ki * 58.

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A film temperature (dry air) of 26.7"C should be used for this case. 11-3. For a pure vapor;the saturation temperature is governed by the pressure in the annulus. Not all rate expressions are of the simple form of Eq. 18.0-2. Course should be of value to engineers, chemists, biologists, soil scientists, and related disciplines. The proper equation in this case is (5-9), which upon evaluation Substituting for V, and using the following boundary conditions, we obtain The last condition results because the wall heat flux is constant and the average fluid temperature increases linearly with z.

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