Using computational fluid dynamics I have calculated the pressure distribution over a streamlined body. I have access to the static, dynamic and total pressure seperately and assume that I can use Bernoulli's equation to calculate the velocity.

However, if Bernoulli's equation is given as:

$p_s+\frac{\rho V^2}{2}=p_t$

I can write the velocity $V$ as:


But this form does not seem to show the inverse proportionality between pressure and velocity that the equation is famous for.

What is the flaw in my reasoning?


1 Answer 1


The flaw in your reasoning is that you believe that pressure and velocity are said to be inversely proportional, $p=K/v$, by the law.

Instead, Bernoulli's law says that these two variables are in inverse relationship (but not "proportionality") which means that one of them is a decreasing function of the other, and you wrote what the function is. $p=K/v$ is a class of decreasing functions of $v$ but there are infinitely many other decreasing functions, too.


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