Review the three cases of flow through porous media shown below. For each case, consider and show/label the total head (z + 2) and hydraulic gradient and explain why or why don't the flow directions (Q) make sense? h₁ h₂ Ah AL Ah AL AR Ah Figure 4 - Different apparatus orientations with the same hydraulic gradient: the gradient magnitude (Ah/AL) is the same in each case and the gradient direction is parallel to the tube in each case. Darcy's law is independent of the apparatus orientation, so the flow rate, Q, is the same in each case, and the flow direction is the same, in this case, parallel to the apparatus (Cohen and Cherry, 2020).

Review the three cases of flow through porous media shown below. For each case, consider and show/label the total head (z + 2) and hydraulic gradient and explain why or why don't the flow directions (Q) make sense? h₁ h₂ Ah AL Ah AL AR Ah Figure 4 - Different apparatus orientations with the same hydraulic gradient: the gradient magnitude (Ah/AL) is the same in each case and the gradient direction is parallel to the tube in each case. Darcy's law is independent of the apparatus orientation, so the flow rate, Q, is the same in each case, and the flow direction is the same, in this case, parallel to the apparatus (Cohen and Cherry, 2020).

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: Find a nondimensional relationship for the pressure drop.

A: This question has been taken from Fluid mechanics

Q: Seepage is occurring through a porous media shown in fig. The hydraulic conductivity values (k1,k2,…

Q: 1. High Reynolds number flows are characterised by their slow rates of mixing and 'reversibility'.…

A: Note : Hi! Thank you for the question, As per the honour code, we are allowed to answer three…

Q: Q2) A long solid cylinder of radius 1.2 m hinged at point A is used as an automatic gate, as shown…

Q: The hydraulic conductivity depends predominantly on void ratio unit weight of the fluid organic…

A: 1. Hydraulic conductivity majorily depends upon the type of soil found in any region. It is affected…

Q: 5. According to the constant-head permeability test, calculate the hydraulic conductivity in cm/sec.…

Q: Example 9.5 • Determine the hydraulic radius of the section shown in Fig. 9.9 if the inside…

A: The objective of the question is to calculate the hydraulic radius of a compound section which…

Q: A soil is 12cm long. A vertical tube was inserted at the center of the soil at mid- length. The head…

A: The pressure head = 5cm, because the length of water in pressure tube is 5cm. Generally the…

Q: K1 K2 K3 K4 K5 K6 K7 K8 K9 K10 K11 K12 For the formation in the figure, hydraulic conductivity K is…

A: Hydraulic conductivity k- Hydraulic conductivity is the ability of the fluid to pass through the…

Q: A soil is 12 cm long. A vertical tube was inserted at the center of the soil at mid- length. The…

A: Note :- As per our guidelines we are supposed to answer one question at a time. So please you are…

Q: 4. A steel beam, with square cross-section of side 10 mm and a simply supported length of 8.0 m from…

Concept explainers

Storm Sewers and Detention

The storm drains system transports rainwater or stormwater and other runoff from roads, parking lots, and roof downpipes directly to nearby creeks, rivers, or the sea without any treatment.

Question

100%

Review the three cases of flow through porous media shown below. For
each case, consider and show/label the total head (z + 2) and hydraulic
gradient and explain why or why don't the flow directions (Q) make sense?
h₁
h₂
Ah
AL
Ah
AL
AL
Ah
Figure 4 - Different apparatus orientations with the same hydraulic gradient: the gradient magnitude
(Ah/AL) is the same in each case and the gradient direction is parallel to the tube in each case. Darcy's law
is independent of the apparatus orientation, so the flow rate, Q, is the same in each case, and the flow
direction is the same, in this case, parallel to the apparatus (Cohen and Cherry, 2020).

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: relevant explanation

Step 2: for case A

Step 3: for case B

Step 4: for case C

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 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 constant head test is performed using a permeameter in the laboratory. The graduated cylinder collects 892 cm3 of water in 112 seconds. The soil specimen diameter = 18 cm , th elevation of water in upper-most piezometer is 181 com , the elevation of water in lowest piezometer is 116.6 cm and the piezometer inlets are evenly spaced at 16.7 cm on center. Compute the hydraulic conductivity, k and choose the correct answer below based on that. O A. 2.1 x 10^-3 cm/second O B. 1.5 x 10^-2 cm/second O C. 2.91 x 10^-2 cm/second O D. 2 x 10^-2 cm/second QUESTION 10 Given: -Applied stress on a soil = 122 kPa %3D -Influence Factor = 0.4 Compute the change in stress at 10 m below the edge of 25 m dimeter oil tank and select the correct answer from below: O A. Change in stress = 44 kPa O B. Change in stress = 49 kPa O C. Change in stress = 40 kPa O D. Change in stress = 42 kPa %3D
A falling-head permeameter contains a sample of length 10 centimeters and diameter 4 centimeters. The falling-head tube has an inside diameter of 1 centimeter. The head falls from 5 to 2 centimeters over a period of 70 minutes. What is the hydraulic conductivity in cm/sec? b. The water temperature was 21° C. At this temperature the density of water is 0.997 g/cm' and the viscosity is 0.00988 g/sec-cm. What is the intrinsic permea- bility of the sample? а.
For the same condition as the previous problem (After a solid block is put on a scale in the water tank as shown in the picture, the total water volume level increases from 5.0 m3 to 6.0 m3. The reading from the upper spring scale is 36.9 kN, and the reading from the scale in the water is 30 kN. The specific weight of water is γw=9.81kN/m3. ), select the correct equilibrium equation alone the vertical direction:______ A. Fb + Fspring=w B. Fb+Fspring-Fscale=w C. Fb+Fspring+Fscale=w D. Fb-Fspring-Fscale=w
For the constant head permeability test apparatus shown, cross-sectional area A flow, distance / between stand 78.5 cm² perpendicular to the direction Flow is vertically downwards through the sample. When the pipes = 10.0 cm. head loss h between the two standpipes is 5 cm, the volume of water which flows through the sample is 100 cm³ per minute. (a) What is the hydraulic gradient through the sample? Area A (b) What is your estimate of the coefficient of permeability k in cm/sec? How much (c) The exit point of the water is maneuvered so that the head loss h is increased 10 cm. water (in cm³) will flow through the sample in 2 minutes?
Give proper explanation for the selected option
Answer fast please clarify all question.
To estimate the frictional head loss, we use Darcy-Weisbach eq ( LV2 hy = f), where f is the friction factor. D2g Please select the most appropriate answer to get the friction factor f. Moody diagram and Sawmee-Jain eq can be used for both laminar and turbulent flows in pipes. Moody diagram and Sawmee-Jain formula can be used for both smooth and rough-walled pipe flows. While for 4x10³ < Re < 108 and 10-¹5
For the hydraulic structure shown below:(A) What is the pressure head at points A, B?(B) What is the flow rate below the structure in cubic feet per day if the structure is 500 feet wide?
A soil sample is placed in a 1m long and 10cm diameter tube. A constant supply of water is allowed to flow from inlet to outlet. The total water head at the inlet is 2m and the total water head at the outlet is 1m. The hydraulic conductivity is 0.001 cm/s. Which of the following answer is correct? O a. The flow velocity is 0.001 cm/s Ob. The flow velocity is 25 cm/s c. The hydraulic gradient in the tube is 2 Od. The hydraulic gradient in the tube is 0.001
Problem 4: An inclined permeameter tube is filled with layers of soil of different permeability as shown below. Find the total head, elevation head and pore water pressure at points (A-B-C-D) with respect to the given datum, Given: 1.5k1=2k2=3k3=k4 k4=2x10-3 cm/sec 35 сm 9 cm K4 K3 K1 K2 15 cm 11 cm 7 cm 4 cm Datum شاشة 4cm
A falling head hydraulic conductivity test is performed on a sample of soil. The stand pipe having a diameter of 0.20cm is observed and it takes 60 seconds for the water to drop by 50 cm from an initial hydraulic head of 90cm. The sample has a length of 20cm, and a diameter of 4cm. a.Find the coefficient of permeability (cm/sec) b.Solve for the hydraulic gradient c. Compute the rate of flow of water in the soil. (cm' /sec.) 0.20 cm 6 s TAND PIPE 50cm Acm 不 20am -: SOIL
(6) Derive an expression relating effluent concentration to influent concentration, hydraulic residence time, and the reaction rate constant for a second-order reaction in a batch at non-steady state. Repeat the exercise for a CMFR and a PFR at steady state. Explain your results.