The flow of glycerine (kinematic viscosity V = 5 x 104 m²/s) in an open channel is to be modeled in laboratory flume using water (vw = 10-6 m²/s) as the flowing fluid. If both gravity and viscosity are important, what should be the length scale (i.e, ratio of prototype to model

The flow of glycerine (kinematic viscosity V = 5 x 104 m²/s) in an open channel is to be modeled in laboratory flume using water (vw = 10-6 m²/s) as the flowing fluid. If both gravity and viscosity are important, what should be the length scale (i.e, ratio of prototype to model

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the location y of the centroid of the chanhel's cro

A: TO FIND CENTROID AND MOI

Q: Experimental measurements of relationship between velocity gradient and shear stress for different…

A: A fluid is a substance that continually flows when an external flow is applied to it. Fluids…

Q: -The cross-sectional area of one limb of a U-tube manometer is made 500 times larger than the other…

Q: HYDROSTATIC FORCE ON PLANE SURFACE I need help analyzing my experiment. Between the measured and…

A: Data given

Q: Define the loss coefficient K, used in the analysis of pipe systems. Give three distinct elements in…

A: Loss coefficient K : Loss coefficient K is a coefficient by which the velocity head available in…

Q: Consider oil flowing through a horizontal pipe at a rate of 3 liter/s. There are two sections of the…

Q: Two pipes namely A and B are connected by a mercury manometer (SHg = 13.6). The fluid in both pipes…

A: SHg=13.6 To find h'

Q: The height of a hydraulic jump in the stilling pool of 1.25 scale model was observed to the 10 cm.…

A: Height, hm = 10 cmScale, Lr = 1.25The corresponding prototype height of the jump is =?

Q: Radius of a right circular cylinder is measured with an error of at most 5%, and the height is…

Q: Water 8 cm 2 cm - Hg 4 cm Hg- 2 cm Water

Q: working from first principles develop the D'Arcy equation for the head loss in a pipeline.

A: Darcy Weisbach equation or Darcy's equation is named after two scientists Henry Darcy and Julius…

Q: 3Q. At normal atmospheric conditions, approximately what pressure in MPa must be applied to water to…

Q: 100 mm 75 mm 25 mm 75 mm

Q: The figure below represents equilibrium. 85 N 60 N 45 100 N 30 F

Q: A smooth steel (SG = 7.86) sphere is immersed in a streamof ethanol at 20 ° C moving at 1.5 m/s.…

A: Given: The specific gravity of the steel sphere is 7.86. The velocity is 5 m/s. The diameter of the…

Q: 1. Which of the following is false? a) The density of water is dependent on temperature b) The mass…

A: Given data Conditions relating to fluid mechanics. According to guidelines of bartleby I have to…

Q: 26. An increase in pressure tends to increase the boiling point of liqui- This relationship denotes…

A: With decrease in pressure the boiling point decreases because the molecules need less speed to…

Q: 4. Calculate the Reynolds Number for 6-inch (diameter) production tubing assuming West Texas Crude…

A: Since; Q1 = 500 STB / day = 5005.434 * 105=9.20*10-4 m3 /s

Q: Help answer all

A: 15. c16. d17. d18. None of the choices.19. d20. b21. aExplanation:15. Thermal expansion refers to…

Q: For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter…

Q: A 0.4m3 rigid tank contains air at 37 °C and pressure 100 kPa. (R= 0.2968 kJ/kg-K) The specific…

A: Given data- Volume (V) = 0.4 m3 Temperature (T) = 37oC = (37+298) = 335 K Pressure (P) = 100 kPa =…

Q: Calculate the required diameter.

A: The values and diagram given in the question are as follows: The difference between points 1 and 2…

Q: Show complete solution. The velocity of a particle along the s-axis is given by v = 1553/2 where s…

Q: 1. Figure shows a container filled with light oil and heavy oil. The masses of two types of oil are…

Q: Example 6.13 For the following functions in two-dimensional irrotational flow, determine the…

Q: Problem-4: An inverted hollow container with a uniform cross section area, A and height, H is slowly…

A: Given data:- The position of inverted hollow cylinder submerged into the water is as shown in below…

Q: Find the specific gravity of the material. b. How much weight is required to fully submerge the…

A: Given data: side = 4 in SG = 0.82

Q: For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter…

A: Lets design the laminar flow in pipe , with drop in pressure per unit length. So, Drop in pressure…

Q: We consider an unsteady, two-dimensional, laminar, incompressible, Boussinesq, couple stress fluid…

A: From the given journals: ρ=ρ01-βT-T∞ Assume: γ=1γ=λβ=1 Governing equations of motion: ∂u∂x+∂v∂y=0…

Q: Review | ons Water flows from the pipe shown in the figure with a speed of 2.0 m/s. (Figure 1) Part…

A: water flows in pipe arrangement as shown in the figure Speed = 2m/s Assuming the atmospheric…

Q: The time, t, it takes to pour a certain volume of liquid from a cylindrical container depends on…

A: Question is based on liquid poured on container . Dimension of container and unit weight of liquid…

Q: 16 An empirical pressure-density relationship for water is given as Pa 2001x - 2000 (Here, suffix…

A: Given, and, 1atm is equivalent to 100kN/m²

Q: For the pipe network shown, the flow of water from A to the first junction is 2 cubic feet per…

A: We are given with the data

Q: The bottom of a steel "boat" is a 7 m ✕ 8 m ✕ 6 cm piece of steel (ρsteel = 7900 kg/m3). The sides…

A: The dimension of the bottom of the steel boat is 7 m×8 m×6 cm. The density of steel is ρSteel=7900…

Q: Consider oil flowing through a horizontal pipe at a rate of 3 liter/s. There are two sections of the…

Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

The flow of glycerine (kinematic viscosity
Vg = 5 x 104 m²/s) in an open channel is
to be modeled in laboratory flume using water
(vw) 10-6 m²/s) as the flowing fluid. If both
gravity and viscosity are important, what should
be the length scale (i.e, ratio of prototype to model
dimensions) for maintaining dynamic similarity?

Expert Solution

Step 1

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

For laminar flow in a pipe, the drop in pressure Ap is a function of the pipe length L, its diameter D, mean velocity of flow V and the dynamic viscosity μ. Using Rayleigh's method, develop an expression for Ap.
Choose the best answer among the following choices stated in each problem. Your choice must be supported with complete solution
How can water displacement be used to measure the density of a non-porous irregularly shaped solid?
Answer P02 given P01
Question is of advanced fluid mechanics . Plz solve as soon as possible
2
Can someone please explain the parts marked on the photo. Like why is there no two included in the other equation and the steps taken to find Poisson equation. Please actually show step by step including the calculations to find the final answer. Thanks
An expression for the apparent viscosity of a power law fluids is K O Ку Ky^n Ку^n+1 Ку^n-1
Dimensional analysis.fluid.
Steve Roger measured a line and found it out to be 950 m long using a 20 – m tape under a steady pull of 4 kg at a mean temperature of 25°C. The tape was held in the air and supported at both ends and at the center. Determine the correct length of the line if the tape used is of standard length at 22°C under a pull of 6 kg. Assume the cross-sectional area of tape to be 0.05 cm2, modulus of elasticity as 2.10 x 10^6 kg/cm^2, weighs 0.08 kg/m, and a Coefficient of Thermal Expansion to be 0.0000116/°C.
Consider oil flowing through a horizontal pipe at a rate of 3 liter/s. There are two sections of the pipe with diameters 10 cm and 7 cm and the two sections are connected by a smooth reducing section as shown in the schematic. We use a manometer with glycerin as the manometer fluid (with glycerin density of Pglycerin 1,260 kg/m³) to measure the pressure difference between the two pipe sections. Assume that frictional effects are negligible and consider specific gravity of oil as SGoil = 0.76. What is the manometer reading, h (i.e. differential height of glycerin between the two arms of the manometer)? 10 cm I h T 7 cm-
8. A block of ice float in the sea as shown in the -3 figure below. The density of sea is 1.2 gr cm¯ and density of ice is 0.9 gr c-3. The volume of x ice in sea water = ....... X the volume of ice in the air. Density of sea (Psea) = 1.2 gr -3 cm Gunung es