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Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. The law is applicable to
  • a)
    Transitional flow in porous media
  • b)
    Turbulent flow in porous media
  • c)
    Laminar as well as turbulent flow in porous media
  • d)
    Laminar flow in porous media
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Velocity of flow is proportional to the first power of hydraulic gradi...
Darcy’s law is valid for laminar flow condition in porous media.
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Velocity of flow is proportional to the first power of hydraulic gradi...
's law. This means that the velocity of flow through a porous medium is directly proportional to the hydraulic gradient.

Mathematically, this can be expressed as:

v = k * i

Where:
- v is the velocity of flow
- k is the hydraulic conductivity of the porous medium
- i is the hydraulic gradient

The hydraulic gradient (i) is defined as the change in hydraulic head (h) per unit length (L) along the flow direction. It is calculated as:

i = (h1 - h2) / L

Where:
- h1 is the hydraulic head at one point along the flow direction
- h2 is the hydraulic head at another point along the flow direction
- L is the distance between these two points

Darcy's law states that the velocity of flow is directly proportional to the hydraulic gradient. This means that as the hydraulic gradient increases, the velocity of flow also increases, and vice versa. The proportionality constant (k) represents the ability of the porous medium to transmit water and is dependent on factors such as the permeability and porosity of the medium.
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Velocity of flow is proportional to the first power of hydraulic gradient in Darcy’s law. The law is applicable toa)Transitional flow in porous mediab)Turbulent flow in porous mediac)Laminar as well as turbulent flow in porous mediad)Laminar flow in porous mediaCorrect answer is option 'D'. Can you explain this answer?
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