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Which of these equations represent a Euler equation?(a) \(\rho\frac{Dv}{Dt}=-\nabla p+\rho g\)(b) \(\rho\frac{Dv}{Dt}=-\nabla p+\mu\nabla^2 v+\rho g\)(c) ∇p=μ∇^2v+ρg(d) 0=μ∇^2v+ρgThe question was asked by my college professor while I was bunking the class.I need to ask this question from Euler Equation topic in division Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Answer»

The correct answer is (a) \(\rho\frac{Dv}{Dt}=-\nabla p+\rho g\)

The explanation: \(\frac{\rho Dv}{Dt}=-\nabla p+\rho g\) represents a Euler equation. All other EQUATIONS have this TERM μ∇^2v representing DIFFUSION.



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