Q.No.3. (a)Describe the streamline and turbulent flow of a liquid and explain the significanceof the Reynolds's number. How does the viscosity of a liquid depend on temperature?(b) Define coefficient of viscosity. Explain Capillary flow method for thedetermination of surface tension of a liquid.Viscouty.f two capillaries of radii ri and r2 and length L1 and L2 are joined in series, derivean expression for the rate of flow of liquid through the arrangement using Poiseuille'sformula.

Answered: Q.No.3. (a)Describe the streamline and…

Q.No.3. (a)Describe the streamline and turbulent flow of a liquid and explain the significance of the Reynolds's number. How does the viscosity of a liquid depend on temperature?

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

See similar textbooks

Similar questions

Question 2 //25 Q (a) In figure below the flowing fluid is Helium at 20°C. D2 =6 cm D1=10 cm Neglect losses. If pl = 1400 kPa and the manometer fluid is Meriam red oil (SG = 0.827), estimate (a) p2 and (b) the gas flow rate in m/s. R for Helium is R= 2.0769 kJ/kg/K. 0,827 1000 20+273= 293 1400 = 230 2,0769.298 Hel BT 8 cm Heliom contr 1900 - (9,81/0) 8,27 -2,30) = 932=G Q=AV,9 Q= %3D
1. A fluid is bounded by two parallel plates of infinite width and length as shown in FIGURE Q1. The upper plate moves at 7 m/s, and the lower plate is fixed. The fluid's dynamic viscosity is 1.85X105 N.s/m?. Assume Couette flow with pressure gradient, = 0.1 N/m³. a. Propose the discretization method to solve Couette flow equation with pressure gradient below. Let the number of nodes, n = 9, the distance between the nodes is 0.05 m. Obtain the velocity of all the internal nodes using the matrix inversion method and the iterative method. Compare the results and the effectiveness of both methods (in terms of calculation effort and ease of setting up the problem). + b. Flow shear stress is governed by the following equation ôu Propose the discretization method to solve the above equation and calculate the shear stress at node 1. Describe the condition in tems of the pressure gradient when the shear stress at the bottom plate is zero. Moving plate at Um/s N= N-1 `Fixed plate FIGURE Q1
liquid (density 800kg/m3, viscosity 10−3 kg/ms) has to be supplied at a mean speed of 2m/s through a pipe of diameter 12.5mm with a surface roughness equivalent to that for structural steel. What is the magnitude of the pressure gradient necessary to achieve this flow? Your answer should have a positive sign and be to the nearest 10 Pa/m. You may wish to use the Moody diagram.
A disk of radius R rotates at an angular velocity V inside adisk-shaped container fi lled with oil of viscosity μ , asshown in Fig. Assuming a linear velocity profi le andneglecting shear stress on the outer disk edges, derive aformula for the viscous torque on the disk.
Freshwater (density = 1000 kg/m³, viscosity cm diameter tube with an average velocity of 0.23 m/s. What is the Reynold's number of the flow (first blank)? Is the flow laminar, transitional, or turbulent (second blank)? = 0.001 kg/(m*s)) is flowing through a 2 Blank # 1 Blank # 2
For each statement, choose whether the statement is true or false, and discuss your answer briefly. (a) The velocity potential function can be defined for threedimensional flows. (b) The vorticity must be zero in order for the stream function to be defined. (c) The vorticity must be zero in order for the velocity potential function to be defined. (d) The stream function can be defined only for two-dimensional flow fields.
A subtle point, often missed by students of fluid mechanics (and even their professors!), is that an inviscid region of flow is not the same as an irrotational (potential) region of flow. Discuss the differences and similarities between these two approximations. Give an example of each.
(1) Experiments show that in a slightly Viscorur flund at on a молод high speeds the drag force fo exerted on body depends on several parametes. An engineer assumes that the drag force fo is a functon of the budy width normal to the upstream Velocity, I upstream Velouty, ✓, the upstream flud veElucay P viscosity, M, speed of sound, I and the airfoils surface roughnars. " use the Buckingham ♬ Theorem to determine the functional dependence of to on non-dimensional flow similarity parameters (2:) Lot the transition to turbulence occur when I = 1.01m, V= 1·01m/s and M₁P = 1:01·10⁰5 m² s. Calculate the transchen Reynolds number, Retrains.
2. Consider the boundary-layer momentum equation for steady incompressible flow in two dimen- sions: ди dpe ду du du + po ay dx Assume the viscosity, u, to be constant. What does this equation simplifies to at a stationary solid surface? Based on this result, is a boundary layer more likely to separate in a favourable gradient (pressure decreasing) or an adverse pressure gradient? Sketch the velocity profile of a boundary layer that is attached and one that is separated. pressure
Consider a steady, incompressible, y=+h ↑y hydrodynamically fully-developed flow between two infinite flat plates as shown. The flow can be described by the following equation: y=-h 2U K -y² +C¸y+C, 2µ where u is the dynamic viscosity, u is the axial velocity (i.e., the velocity in x-direction), and K, Cı, and C2 are constants. (a) Obtain the velocity profile u(y) in terms of h, U, K, µ̟ and y. (b) For what value of K is the shear stress zero at y=h/2. Consider h=0.01 mm, U=0.1 mm/s, and u=0.001 Pa.s
The velocity distribution in a fully developed laminar pipe flow is given by where UCL is the velocity at the centerline, and R is the pipe radius. The fluid density is ρ, and its viscosity is µ. (a) Find the average velocity . (b) Write down the Reynolds number Re based on average velocity and pipe diameter. At what approximate value of this Reynolds number would you expect the flow to become turbulent? Why is this value only approximate? (c) Assume that the stress/strain rate relationship for the fluid is Newtonian. Find the wall shear stress τw in terms of µ, R and UCL. Express the local skin friction coeffient Cf in terms of the Reynolds number Re.
k An empirical correlation for the Nusselt number (Nu = hd) for flow past tubes is Nu= 0.25Re 0.6 pp.0.38, where Re = is the pud μ k Reynolds number and Pr = p; pH is the Prandtl number. Here, µ is the viscosity and k is the thermal conductivity. Using the simple expressions for the transport properties that we derived in class, determine the temperature and pressure dependency of the convective heat transfer coefficient h.