Question A2a) Consider a steady, laminar flow through a straight horizontal tube having theconstant elliptical cross section given by the equation2DEN5242 (May 2019)QA2 continuedThe streamlines are all straight and parallel. Investigate the possibility of using anequation for the z component of velocity of the form W = A(1.0--exact solution to this problem (A is a constant).expressed by: V₂ = V₂0 Inv.X.beIncompressibleFluid (.p)a²b) Consider two long concentric pipes with an incompressible fluid flow between them(Figure QA2). The outer pipe moves axially with a constant velocity Vz0;Solid Cylinderat Rest1- By using appropriate assumptions simplify the incompressible Navier-StokesEquations (i.e. conservation of mass and conservation of momentum) for thisparticular problem. All the assumptions and the simplified equations should bewritten;Hollow Cylinder12- Show that if aP / az=0 the velocity distribution between the two pipes can ber2017/12/1²/²InFigure QA22as anV/₂03- If μ=1.84×105 Ns/m², p= 1000 kg/m³, ½ = 15 mm, 1₂ = 5 mm and V₂0 = 20 m/s,calculate the wall shear stress acting on the surfaces of the cylinders.

Question A2 a) Consider a steady, laminar flow through a straight horizontal tube having the x² constant elliptical cross section given by the equation DEN5242 (May 2019) QA2 continued 92x42 62 1 The streamlines are all straight and parallel. Investigate the possibility of using an equation for the z component of velocity of the form W = A(1.0-- exact solution to this problem (A is a constant). b as an

Question A2 a) Consider a steady, laminar flow through a straight horizontal tube having the x² constant elliptical cross section given by the equation DEN5242 (May 2019) QA2 continued 92x42 62 1 The streamlines are all straight and parallel. Investigate the possibility of using an equation for the z component of velocity of the form W = A(1.0-- exact solution to this problem (A is a constant). b as an

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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During the course, we have learned about the Bernoulli equation as well as rotational and irrotational flows. Answer the following problemsc. Give explicit one example of velocity field (v = … i + … j meter/second) for rotational flow and one example for irrotational flow.d. Is Bernoulli equation valid only for rotational flows or it is also valid for irrotational flow? Explain your answer.
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5) Through a pipe of diameter D = (100 + N)mm, length I = (2000 + 40 N) m and equivalent roughness k = (0,25 + 0,01 · N) mm flows a water discharge Q = (3,9 + 0,05 · N) 1/s. Consider the kinematic viscosity of rainwater v = 10-6m2/s and its densityp = 1000 kg/m³. %3D a) Determine the Reynolds number and establish the type of the flow regime. b) Using the Colebrook – White formula and the iteration procedure, find the friction factor. c) Determine the friction head loss. Solve for N=21!
A) Figure (2) shows the velocity distribution for flow of water between two parallel plates. Velocity profile: u = 10(0.01y - y²). Figure (2) Find: 1) The value of Y. 2) Shear stress at the wall. 3) Shear stress at 20μm from the wall. 4) Location of zero shear stress 5) Location of maximum velocity. water at 20°C
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