Question

The basic law of fluid flow through porous media is known as:

• A. Boltzmann law
• B. Bernoulli’s law
• C. Darcy Law
• D. Stokes law

Hint:

When dealing with fluid flow through porous materials, remember that Darcy's law provides the relationship between flow rate and pressure difference, accounting for permeability and fluid viscosity.

Answer 1

The Correct Option is C

Darcy’s law is the fundamental principle used to describe the flow of fluids through porous media. It states that the flow rate of a fluid through a porous medium is proportional to the pressure difference and the permeability of the medium. The equation is expressed as: \[ Q = -k \cdot A \cdot \frac{\Delta P}{\mu \cdot L} \] Where:
- \( Q \) is the flow rate,
- \( k \) is the permeability of the medium,
- \( A \) is the cross-sectional area of the flow,
- \( \Delta P \) is the pressure difference,
- \( \mu \) is the dynamic viscosity of the fluid, and
- \( L \) is the length of the porous medium.
- Option (1) Boltzmann law describes the behavior of particles in gases, particularly their distribution in terms of energy, and is unrelated to fluid flow through porous media.
- Option (2) Bernoulli’s law is used to describe the behavior of a moving fluid, typically along a streamline, and does not apply to flow through porous media.
- Option (4) Stokes law describes the motion of spherical particles through a viscous fluid, but is not the governing law for flow through porous media.
Thus, the correct answer is option (3): Darcy Law.