Question:
Assumptions made in Darcy's law are
A. Kinetic energy of water is negligible
B. Mass density of water is constant
C. Viscosity of water is constant
D. Flow is turbuelnt
E. Viscosity of water is not constant
Choose the correct answer from the options given below:
Assumptions made in Darcy's law are
A. Kinetic energy of water is negligible
B. Mass density of water is constant
C. Viscosity of water is constant
D. Flow is turbuelnt
E. Viscosity of water is not constant
Choose the correct answer from the options given below:
A. Kinetic energy of water is negligible
B. Mass density of water is constant
C. Viscosity of water is constant
D. Flow is turbuelnt
E. Viscosity of water is not constant
Choose the correct answer from the options given below:
Show Hint
Darcy's Law applies to laminar flow in saturated porous media where inertial forces (kinetic energy) are negligible compared to viscous resistive forces.
Updated On: Aug 13, 2026
- A, B and D only
- E only
- A, C and D only
- A, B and C only
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
Darcy's Law describes the flow of fluid through a porous medium.
It is expressed as:
\[ q = -K \frac{dh}{dl} \] where \( q \) is the flux, \( K \) is the hydraulic conductivity, and \( \frac{dh}{dl} \) is the hydraulic gradient.
As an empirical law, it is based on several simplifying physical assumptions.
Detailed Explanation:
Let us analyze the assumptions of Darcy's Law:
- A. Kinetic energy of water is negligible: Because flow velocities in porous media (like soils) are extremely low, the velocity head (\( \frac{v^2}{2g} \)) is negligible compared to the pressure and elevation heads. This assumption is correct.
- B. Mass density of water is constant: The fluid is assumed to be incompressible, meaning its density does not change during transport. This assumption is correct.
- C. Viscosity of water is constant: The fluid is assumed to be homogeneous and isothermal, meaning its dynamic viscosity remains constant throughout the flow path. This assumption is correct, which also makes statement E incorrect.
- D. Flow is turbulent: Darcy's Law is only valid for laminar flow (Reynolds number \( Re < 1\text{ to }10 \)). In turbulent flow, the relationship between hydraulic gradient and velocity becomes non-linear, rendering Darcy's Law invalid. Thus, this statement is incorrect.
Therefore, the valid assumptions are A, B, and C.
Step 2: Final Answer:
The correct combination of assumptions is A, B and C only, corresponding to Option (D).
Darcy's Law describes the flow of fluid through a porous medium.
It is expressed as:
\[ q = -K \frac{dh}{dl} \] where \( q \) is the flux, \( K \) is the hydraulic conductivity, and \( \frac{dh}{dl} \) is the hydraulic gradient.
As an empirical law, it is based on several simplifying physical assumptions.
Detailed Explanation:
Let us analyze the assumptions of Darcy's Law:
- A. Kinetic energy of water is negligible: Because flow velocities in porous media (like soils) are extremely low, the velocity head (\( \frac{v^2}{2g} \)) is negligible compared to the pressure and elevation heads. This assumption is correct.
- B. Mass density of water is constant: The fluid is assumed to be incompressible, meaning its density does not change during transport. This assumption is correct.
- C. Viscosity of water is constant: The fluid is assumed to be homogeneous and isothermal, meaning its dynamic viscosity remains constant throughout the flow path. This assumption is correct, which also makes statement E incorrect.
- D. Flow is turbulent: Darcy's Law is only valid for laminar flow (Reynolds number \( Re < 1\text{ to }10 \)). In turbulent flow, the relationship between hydraulic gradient and velocity becomes non-linear, rendering Darcy's Law invalid. Thus, this statement is incorrect.
Therefore, the valid assumptions are A, B, and C.
Step 2: Final Answer:
The correct combination of assumptions is A, B and C only, corresponding to Option (D).
Was this answer helpful?
0
0
Top ICAR AIEEA Water Science and Technology Questions
- The optimum temperature ($^{\circ}$C) for germination of wheat is
- Wheat varieties with initial HD are developed by
- Groundnut is also known as
- Which of the following planting method is not related to sugarcane crop?
- Read the following statements about ICAR Institutes.
(A). ICAR - Indian Institute of Sugarcane Research is located at Lucknow
(B). ICAR- Indian Institute of Pulses Research is located in Hyderabad
(C). ICAR- Central Research Institute for Dryland Agriculture is located at Jodhpur
(D). ICAR- Indian Institute for Soybean Research is located at Indore
(E). ICAR- Indian Institute of Water Management is located at Bhubaneswar
Choose the correct answer from the options given below:
View More Questions
Top ICAR AIEEA Soil and Water Conservation Engineering Questions
- Followings are some of the statements related to farm pond
(A). Dugout ponds are the most common type of farm ponds.
(B). Levee ponds are generally used in aquaculture.
(C). A narrow section of valley with mild side slopes are preferable for pond site selection.
(D). Simpson's rule gives more accurate capacity of pond values than the trapezoidal formula.
Choose the correct answer from the options given below: - Match List-I with List-II.
\[ \begin{array}{|l|l|} \hline \textbf{List-I (Name of Tank)} & \textbf{List-II (Location)} \\ \hline \text{(A) Pampasaras} & \text{(I) Rajasthan} \\ \text{(B) Veeranum} & \text{(II) Kasargod} \\ \text{(C) Khadin} & \text{(III) Bellary} \\ \text{(D) Surangam} & \text{(IV) Tamil Nadu} \\ \hline \end{array} \]
Choose the correct answer from the options given below. - The range of 2.6-2.7 Mg.m$^{-3}$ represents the following:
- The actual evapotranspiration divided by crop coefficient gives-
- Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R).
Assertion (A): In strip cropping both close growing and row crops are planted in alternate strips in the same field.
Reason (R): In comparison to contour farming, strip cropping is a more effective method to control erosion.
In light of the above statements, choose the most appropriate answer from the options given below.
View More Questions
Top ICAR AIEEA Questions
- Which of the following statements is false?
- Which of the following is an example of an inventory?
- According to Adam Smith, productivity gains could be brought about through .
- The supply curve for an artificially scarce good is .
- Which of the following would not be considered an opportunity cost of paid employment?
View More Questions