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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Jazlene Dickson · Accepted Answer

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&#039;s second law for fluids. Hence, the correct option is (b) Newton&#039;s second law.Answer: The correct option is (b) Newton&#039;s second law.

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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