Question:medium

In which of the following condition(s), Bernoulli's equation is applicable?

Show Hint

Bernoulli's equation assumes steady, incompressible, inviscid flow applied along a single streamline; unsteady flow invalidates the standard form.
Updated On: Aug 10, 2026
  • incompressible flow.
  • inviscid flow.
  • unsteady flow.
  • flow along a streamline.
Show Solution

The Correct Option is A, B, D

Solution and Explanation

Starting from the Euler equation along streamline coordinate $s$: $\rho\partial v/\partial t + \rho v\partial v/\partial s = -\partial P/\partial s - \rho g\partial z/\partial s$. No viscous term is present (inviscid, confirms B). Integration is along $s$ only (confirms D). Dropping $\partial v/\partial t$ requires steady flow (so unsteady flow, C, breaks the form). $\int dP/\rho$ collapses to $P/\rho$ only if $\rho$ is constant (confirms A). \[ \boxed{A, B, D} \]
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