1. A vertical concentric annulus, with outer radius r, and inner radius r, islowered into fluid of surface tension o and contact angle 0 < 90°. Derive anexpression for the capillary rise h in the annular gap, if the gap is verynarrow.2. A solid cylindrical needle of diameter d, length L, and density o n may "float"on a liquid surface. Neglect buoyancy and assume a contact angle of 0°.Calculate the maximum diameter needle able to float on the surface.3. Derive an expression for the capillary height change h, as shown, for a fluidof surface tension Y and contact angle 0 between two parallel plates W apart.Evaluate h for water at 20°C if W = 0.5 mm.

Surface Tension has defined as the surface of a liquid property that enters it to oppose an external…

1. A vertical concentric annulus, with outer radius r, and inner radius r, is lowered into fluid of surface tension o and contact angle 0< 90°. Derive an expression for the capillary rise h in the annular gap, if the gap is very narrow.

1. A vertical concentric annulus, with outer radius r, and inner radius r, is lowered into fluid of surface tension o and contact angle 0< 90°. Derive an expression for the capillary rise h in the annular gap, if the gap is very narrow.

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter14: Sheet-pile Walls

Section: Chapter Questions

Problem 14.5P

See similar textbooks

Related questions

Q: profile of the same quantity from literature. Table nomenclature: y – wall normal distance in m,…

A: Please mention the table and the figure for the question.

Q: For a two-dimensional incompressible flow past a flat plate, the boundary layer velocity profile is…

Q: Pam + P.

Q: A pitot tube having a coefficient of velocity=0.978 is used to measure the velocity of water at the…

A: For Pitot tube Velocity is v=Cv2gh

Q: An open vessel of water accelerates up a 30° plane at 2 m/s. Determine: a. Horizontal component of…

A: open vessel water accelerates up 30° plate at 2 m/s3θ= angle made by liquid surface with…

Q: An orifice on the side of a tank discharges water under a head of 9 ft. if the diameter of the…

A: Coefficient of discharge: The ratio of actual discharge to the theoretical discharge is known as the…

Q: Q.47 In order that a droplet of water at 20°C (o = 0.0728 N/m) has an internal pressure 1 KPa…

A: Given data- Water droplet-surface tension σ=0.0728 N/mdifference in pressure intenal and…

Q: Sedimentation is an important process to separate solids from liquids in order to clarify the…

Q: 4. A canal is cut into a soil as shown in the figure. Assume flow takes laterally and vertically…

A: (a) The formula to calculate the equivalent permeability in the horizontal direction through the…

Q: A thin plate 2 m wide is placed in a uniform air stream of velocity 100 m/s, = 1.2 kg/m). If the…

A: Solution: Given Data: h=2mU∞=100 m/sδ=1.2 kg/m3FD=60 NuU∞=yδ1/6δ=B.L thickness at edge of plateWe…

Q: a) Active Rankine Ka status b) Passive state of Rankine, Kp

Q: For a two-dimensional incompressible flow past a flat plate, the boundary layer velocity profile is…

Q: Air I. Elevation= zB Oil (SG = 0.85) Elevation zA Figure 7 トー

A: Elevation of point A is (Za) = 10 m Elevation of point B is (Zb) = 11 m Elevation between point A…

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

Q: Q6 The cross-section of an earthen dam is shown below; Assuming that the water level remains…

A: Seepage is the flow of water from the upstream side to the downstream side. It mostly takes place in…

Q: A rectangular tank 6 m long, 3 m wide and 2m deep contains water to a depth of 1 m. It is…

A: From the given information, we have to calculate the tank's dimension. The acceleration of the given…

Q: Darcy's Law for ground water movement states that the velocities is proportional to * the hydraulic…

Q: a. Determine the gage pressure at point A in Fig. 3.36. h If the barometric pressure is 737 mm of…

Q: A Pitot tube having a coefficient of Cy = 0.98 is used to measure the velocity of water at the…

Q: The forces act on a dam structure with a base of 18 meters. At B, the upward ground reaction…

Q: velocity (ft/s) at point 1, velocity (ft/s) at point 2, and pressure head (ft) at 2. e pressure head…

A: Q=A1v1=A2v213.2=π412×v1=π422×v2v1=13.2π412=16.8067ftsv2=13.2π422=4.2016fts

Q: Check my A vertical concentric annulus with outer radius ro and inner radius is lowered into a fluid…

Q: 1) The velocity distribution for the flow of a Newtonian fluid between two wide, parallel plates is…

Q: For the structure shown below, if E is constant, what is the distribution factor at ?joint B (DFBA)…

A: Finding out distribution factor.

Q: A pipe carrying water has average irregularities projecting from the surface of the boundary of the…

Q: SITUATION. A closed cylindrical tank with 0.60 m diameter and 1.0 m height is fully-filled with…

Q: Hydraulic gradient is representing the energy or driving force for liquid flow (water) through the…

A: #####$Derivation of relationship between HGL and Velocity #####

Q: Estimate the Hazen-Williams pipe roughness factor, C, for a 250-millimeter (mm) diameter water main.…

A: To determine the Hazen-Williams pipe roughness factor (C) for given flow parameters. Given,…

Q: Finding the active earth pressure a) Rankine b) Coulomb, C) Compare values

A: Given, ϕ = 30°γ = 18 kN/m3tan β = PB= 18β = 7.125°

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

Q: 3. Due to its slight compressibility, the density of water varies with depth, although its bulk…

Q: 2. Hydraulic jump depends upon a) Temperature b) Pressure c) Initial fluid speed d) Volumetric…

Q: 9.29 A laminar boundary layer velocity profile is approximated by u/U-[2-(v/8)](/8) for y s 8, and u…

A: uU=[2-yδ](yδ)For profile to be parbolic (i)Wall velocity is zero (at y=0)(ii) u=U(iii)dudy=0(i)at…

Q: Activity 2. Section of a culvert is shown in the figure. Compute the moment of Inertia about the…

A: It is the property of the dimensional of two plane and area moment of inertia is also termed as…

Q: H.W. I The velocity distribution for flow over a plate is given by c= 3 d - 2 d where c is the…

Q: 15. Consider the steady, two-dimensional, incompressible velocity field given by V- (u, v) (1.3…

Q: 3. What is the condition for a normal depth? a) Water depth remains a constant b) Temperature of…

A: the condition for a normal depth is Option a) Water depth remains a constant. Thus the correct…

Q: The submerged sector gate AB shown in the figure is 1/8 of a circle of radius 4 m. The length of the…

A: Given Data: Length of gate is L=10 m. Height of gate is H H=4 msin45°=2.828 m

Q: | The velocity distribution for flow over a plate is given by c= 3 d-2 d where c is the velocity in…

Q: A right circular cone has an altitude of 2e and a diameter of e. Compute the volume of the right…

Q: SAMPLE PROBLEM 1. A square plate having a length of 3 m and width of 2 m is immersed in water.…

Q: 5. A layer of clay, at a depth below the groundwater surface, experiences a rapid increase in…

A: Given data- Increase in pressure ∆p=200 kN/m2coefficient of compression power m=3.8×10-5 m2/kNhere…

Q: 11- In an infinite two-dimensional flow filed, a sink of strength 3/2n m/s.m is located at the…

A: The given data is as follows: Strength of sink located at origin=32πm3/s.mStrength of another sink…

Q: A piezometer and a Pitot tube are tapped into a 4-cm diameter horizontal water pipe, and the height…

A: Velocity at the center of pipe (V) : V =2gh h is the height of the water columns g is the…

Q: A concrete dam retaining water is shown in the figure. Using a unit weight for concrete equivalent…

Q: A channel is (50) m wide, 2.5m deep and has a bed slope of 1 in 4000. Determine the bed load…

Q: A point load P is applied at point A on the ground surface as shown on the figure. Using Wastergards…

Q: A conical tank is inclined with an angle of 60°. A hole with radius 2-in was opened at the bottom.…

A: To find Time when tank will be empty?

Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

1. A vertical concentric annulus, with outer radius r, and inner radius r, is
lowered into fluid of surface tension o and contact angle 0 < 90°. Derive an
expression for the capillary rise h in the annular gap, if the gap is very
narrow.
2. A solid cylindrical needle of diameter d, length L, and density o n may "float"
on a liquid surface. Neglect buoyancy and assume a contact angle of 0°.
Calculate the maximum diameter needle able to float on the surface.
3. Derive an expression for the capillary height change h, as shown, for a fluid
of surface tension Y and contact angle 0 between two parallel plates W apart.
Evaluate h for water at 20°C if W = 0.5 mm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

A tank has one of its side inclined inward at an angle of 30° with horizontal. The free surface of the contained water is at Elev 15.25 m. The orifice located on the inclined side issues a jet, having it's vena contracta at Elev 10.70 m. If the highest point in the trajectory of the jet is at Elev 14.00 m, find the actual velocity of the jet air friction. Neglect air friction. Include fbd.
A jet of water strikes with a velocity of 26.36 m/s on a flat plate, inclined at 30o with the axis of jet. If the diameter of the nozzle is 291 mm. Solve For:a) The force exerted by the jet on the plate.b) The components of the normal force.
Obtain the gage pressure at the center A of the pipe shown. Neglect surface tension effects. For Liquid 1 specific gravity= 1.5, for liquid 2 specific gravity= 3.2, h1=15cm, h2= 30cm,h3=75cm
the 6 kg sphere is projected horizontally with a velocity of 17 m/s against the 30 kg carriage which is backed up by the spring with stiffness of 1210 N/m. The carriage is intially at rest with the spring uncompressed. If the coefficient of restitution is 0.51, calculate the rebound velocity v', the rebound angle , and the maxiumum travel of the carriage after impact.
In the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=75° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm2 and A=50 cm2 shall be taken for all rods.)
Compute the horizontal and vertical components of the hydrostatic force (magnitude and direction) on the half cylinder AB for a unit distance normal to paper. γ1 = 8 kN/m3, γ2 = 12 kN/m3 h1 = 4 m, h2 = 2 m R = 2 m
Find the moment of inertia about the x' axis of the channel cross-section if the channel material has uniform thickness of 0.5 in.
Water enters the bottom of the cone in Fig. P3.24 at auniformly increasing average velocity V = Kt . If d is verysmall, derive an analytic formula for the water surface rise h ( t )for the condition h = 0 at t = 0. Assume incompressible fl ow.
This is a mercury U-tube*acceleration = 4.905 m/s^2 to the right What is the gage pressure at A? in kPa
There is a conical plug at the bottom of the pressure tank as seen in the figure. The air pressure is 50 kPa and the specific gravity of the fluid in the tank is 27 kN/m3 'kind. remaining in the tank Determine the direction and magnitude of the force acting on the cone curve surface (h1=1 m, h2=3 m, ɵ=60o )
In the cage system below; It is under the effect of a P=250 kN load acting at an angle of θ=30° from the point C. Calculate the horizontal displacement (cm) to the right at point C. (E=2000 kN/cm² and A=50 cm² will be taken for all bars.)
Determine the vertical displacement of node A. Consider EA = 16x104 [kN-m]