The Navier–Stokes equation is also known as: (a) Newton’s first law (b) Newton’s second law (c) Newton’s third law (d ) Continuity equation (e) Energy equation

Hayley Bernard 2022-07-18 Answered
The Navier–Stokes equation is also known as:
(a) Newton’s first law
(b) Newton’s second law
(c) Newton’s third law
(d ) Continuity equation
(e) Energy equation
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Answers (1)

Jazlene Dickson
Answered 2022-07-19 Author has 15 answers
Navier-Stokes equation is a partial differential equation that is a fundamental equation for describing the motion of fluids. The most common form of the Navier-Stokes equation is the conservation of momentum equation.
The general form of the Navier-Stokes equation for an incompressible flow is,
ρ D V D t = P + ρ g + μ 2 V
Here, ρ is the density of the fluid, g is the acceleration due to gravity, ρ g represents the body force or the weight of the fluid element, P is the pressure gradient which indicates the pressure force, V is the velocity vector field of the flow, μ is the dynamic viscosity. Here, μ 2 V is the viscous force on the fluid, and D V D t is the total derivative of the velocity vector i.e. the acceleration vector for the flow. Hence, ρ D V D t is the net force on the fluid element.
Since the Navier-Stokes equation is similar to the conservation of momentum equation, this is also known as Newton's second law for fluids. Hence, the correct option is (b) Newton's second law.
Answer: The correct option is (b) Newton's second law.
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