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By area do you mean cross sectional area of a stream tube? Bernoulli's principle only compares pressure and velocity and it covers all fluids. In the case of an ideal gas (constant density) decreasing the cross sectional area of a stream tube lets say; will not affect the pressure. But given any fluid volume..going from point a to point b if velocity decreases, particles in the fluid want to move outward. just remember any fluid must do two things move and apply pressure.

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