Question

Find the order of the continuity equation for steady two-dimensional flow.

(a) 1

(b) 0

(c) 2

(d) 3

This question was addressed to me during an internship interview.

Asked question is from Partial Differential Equation in portion Mathematical Behaviour of Partial Differential Equations of Computational Fluid Dynamics

Answer 1

Right choice is (a) 1

The explanation is: Continuity equation for steady two-dimensional flow is given by \(\frac{\partial\rho u}{\partial x}+\frac{\partial \rho v}{\partial y}\). This is a first order partial differential equation.