Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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- Back HW#2 QUESTION1/60pts] A fluid of viscosity u flows in the horizontal cylinder (radius R) shown in the figure under a constant pressure gradient dP/dx. The inner core of the cylinder is filled with a porous material. The flow in this porous region is slow and assumed to be a plug-type flow such that the velocity is constant and everywhere the same inside the porous region. Denote this velocity by Uo. The flow in the open (non-porous) region is steady, Newtonian, incompressible and axisymmetric. It will be assumed that only the axial (x) component of the velocity is non-zero. Flow Open flow T&R Porous media flow R N.B. All your answers must be expressed in terms of µ, U₁, a, R and dP/dx. (a) Use the continuity and Navier-Stokes equations to determine the expression of the velocity in the open region. (b) What is the expression of the average velocity in the open region? (c) Is the assumption of a linear velocity profile in the open region acceptable when this region Tuatifi 1:arrow_forwardthe pressure drop across the tube bank, and (c) the rate of condensation of steam inside the tubes. Evaluate the air properties at an assumed mean temperature of 35°C and 1 atm. Is this a good assumption?solve this part tooarrow_forwardWhich of the following statements about an oil’s viscosity is not true? a. The ability of oil to resist flow is its viscosity. b. Viscosity is affected by temperature; hot oil flows faster than cold oil. Oil flow is important to the life of an engine. c. In the API system of oil viscosity classification, the lighter oils receive a higher number. d. Heavyweight oils are best suited for use in high-temperature regions. Low-weight oils work best in low temperature operations.arrow_forward
- 3arrow_forwardon problem B equation 1) what symbol is that? it looks like a N or an X , can you tell me the symbols for transport velocities and mass transfer thanks can you clarify more on what the symbolism is for that equationarrow_forwardWhat is the velocity (in cm/s) at radius r= 4.95 cm? What is the viscosity, mu (in g/(cm*s)) ?arrow_forward
- The fluid W flows in a horizontal cylindrical pipe of radius R with an average velocity Uo. ona point that can be expressed as a zero point, Species N is injected at a certain point (r = 0) with a very low rate of MN mol/s. The rate is so small that the average speed can decrease to still be worth Uo. N species are swept downstream (on the z-axis), andat the same time diffuse in the axial and radial directions. The diffusivity constant, DNW, can be declared constant.a. Sketch the differential space to create the “shell mass balance” of the N component.b. Make a mass balance for the component N in the differential space in (a) so thatobtained a differential equation that can describe the concentration profile of N inflow flowing in the pipe at steady state.c. Write down the boundary conditions so that the differential equation obtained in point (b) can be solvedarrow_forward5. Porous Flow Problem: Suppose we have a horizontal catalyst pack of spheres 1 mm in diameter, which pack at a porosity of 40 %. The pack is in a cylindrical tube 1 m long, and 8 cm in diameter. Some questions... a. How many spheres (roughly) would fit in the pack. (You can calculate V cylinder occupied by spheres/volume of a sphere .. although this is not exactly correct) b. What is the pressure drop needed to flow water through the pack at a nominal velocity (Q/A) of 0.05 m/s. Use Ergun Equation. c. Would this be laminar or turbulent... or does that even apply? d. What would the permeability be if we applied Darcy's Law (ignoring whether it is laminar or turbulent) 6. For the problem above, if the sphere specific gravity was 0.7, what flow rate (Q) would be required to lift the bed upwards if the orientation were vertical? (Note .. we have to lift the pack and the fluid in it.. not just the pack. So find Q where AP x A = Weight of pack and fluid).arrow_forward
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