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A vertical pipe of 7 cm inside diameter and length 7 m is used in a heat exchanger to heat a 0.03 m’s1’ water flow from 25°C to 45°C. Figure 7.8 is a plot of LY versus NRC for pipe flow [Kl]. Then a new dimensionless pressure difference 9 = Pry, different from 9 in Eq. 3.7-4, can be introduced, so that when the equation of motion is divided by Pr, the only dimensionless group appearing in the equation is GrPr. Application of electrochemical techniques to chemistry research.

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The quantity p'S' is the density of the pure solvent, and pso = PS(y=O and vso = vSy(y=O are the mass concentration and velocity of solvent at the upstream membrane surface. A furnace consists of a carborundum muffle 4.8 for solar radiation. The products can include pharmaceuticals, specialized plastics, petrochemicals, materials for biomedical applications, and energy. Course Information: 3 undergraduate hours. 4 graduate hours. M. van Koppen) Practical Interfacing in the Laboratory: Using a PC for Instrumentation, Data Analysis and Control (Stephen E.

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For water, the viscosity at 288 K and the molecular weight are 1.14 CP (1.14 x lOA kg me’ s-l) and 18.015 kg kmol-‘. The pressure terms can be omitted, since the pressure is atmospheric at both planes. Actually. correlation of heat and mass transfer for any orientation of flow to a cylinder is excellent. All weight percentages are converted to weight fractions by dividing by 100. Integration of Eq. 24.4-40 then gives Newman6 gives a more rigorous development that allows for surface curvature, but for any tube of radius greater than tens of nanometers, this is really not necessary.

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The course content and level of presentation would allow an entry level engineering to be conversant with the terminology and concepts of ceramic science and engineering. The variables in Eq. (vii) are again separated and the resulting equation is integrated to give - kT = (&3)(x2)/2 - (C,)(x) + c2 (viii) ‘Ihe constant of integration C, can be evaluated from the boundary condition T(x = 0.1 m) = 100°C = 373.15 K which gives for C, C, = -(380)(373.15) - (1.5 x 106)(0.1)2/2 + (5.3 x ld)(o.]) = -9.63 x 1O“ J m-’ s-’ 64 6) N O W all the constants in Eq. (viii) are known.

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A one-unit introductory seminar (CENG 1) is required of all incoming freshmen and transfer students. Calculate heat loss per meter length of pipe. 5-10. Calculation Methods for Falling-Rate Drying Period. In this section, some additional comments will be made on some of these alternate geometries. 13.3.1 Intinite Slab A solution to the unsteady-state transport equations is obtainable for the infinite slab geomery. A 40-60 mix of acetone and water is contacted with methyl isobutyl ketone (feed and solvent are equal in mass).

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Heat conduction through a lami- nated tube with a fluid at temperature T, in- side the tube and temperature Tb outside. For separation via selectively permeable mem- branes, the ratio of the product to waste streams is governed by the pressure exerted across the membrane, and the energy required to produce this pressure must be renewed for every stage of the cascade. Find the following: solution concentration leaving each unit (CaC03 is completely insoluble); wash water per kg Ca CO,; units added for 99.5 percent recovery (wash water constant). 13-40.

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Plot of dimensionless temper- ature, O = (T - TJ/(T, - TI), vecsus dimensionless time, 7 = (UJ,/pC,V,)t, according to Eq. 15.5-10. [W. Use the chart on the following page to determine which of the six procedures to use when constructing the downwind hazard prediction. Dr Francisco Trujillo is a senior lecturer at the school of Chemical Engineering. The second example illustrates the method of separation of variables, in which the partial differential equation is split up into two or more ordinary differential equations.

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Eq. (10.42)]; L, is wetted perimeter in definition of hydraulic radius, Eq. (10.45) Integer parameter in Pai’s equation, Eq. (6.113) Mass of rotameter float, Eq. (10.74) Number of velocity heads, Eq. (10.16) Total points in velocity profile determination in Eq. (10.87) Molar flow defined with respect to fixed coordinates (kmol s-l, lb mol s-l); subscript r, w means molar flow in the r direction at the wall Dean number in Eq. (10.20), defined as NR,(d,/dC)1’2 Reynolds number, Eq. (6.1) or Eq. (6.2), d,U,, avep/p for pipe flow von Karman number, Eq. (10.13) 402 n n n’ P Q 4 r r APPLICATIONS OF TRANSPORT PHENOMENA T T t u v, K W I Y z Z a B B A Roughness factor in Eq. (10.51) Index in Eq. (10.87) Empirical constant in non-Newtonian viscosity equation, Eq. (10.5) Pressure (kPa, atm, Ibrin.-*) Volume rate of flow (m3 s-i, ft? s-l) Energy (heat) flow vector (Js-‘, Btus-‘); subscripts denote components in coordinate directions Cylindrical coordinate (m, ft) Radius (m, ft); r, is value of r at the tube wall; ru is the hydraulic radius, Eq. (10.45) Pressure ratio in design of gas orifice meters, Eq. (10.68) Area of a pipe or tube that is perpendicular to the z direction (i.e., the flow or cross sectional area) (m*, ft*); cf.

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This overall approach involving the enthalpy balance with resultant constant molal overflow is known as the McCabe-Thiele method. Here, the particle Nusselt number contains the thermal conductivity of the fluid, whereas the Biot number contains the thermal conductivity of the solid. These and other factors combined to make the next movement a reality. The quantity (pVc,)/(hA) may be interpreted as a thermal time constant r,: tt = pVc,l(hA) (13.23) The thermal time constant can be used to represent the thermal decay by an electrical RC circuit [Ill.

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The velocity profiles in packed beds exhibit a strong maximum near the wall, attribut- able partly to the higher void fraction there and partly to the more ordered interstitial passages along this smooth boundary. The orifice plate is inserted into a straight length of pipe. Usually two solvents are used: toluene, which dissolves the oil and maintains fluidity at low temperatures, and methyl ethyl ketone (MEK), which dissolves little wax at low temperatures and acts as a wax precipitating agent.