- #1
person123
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Here is the setup:
Apply Bernoulli Principle to the top (free surface) of the two pitot tubes (1 for static and 2 for dynamic with the points colored in red): $$\frac{p_1}{\rho_w g}=h+\frac{p_2}{\rho_w g}$$
The difference in air pressure would give the following:$$p_1=p_2+h\rho_{air} g$$
Solving for h would give: $$\frac{p_2+h\rho_{air}g}{\rho_w g}=h+\frac{p_2}{\rho_w g}$$ $$\frac{p_2}{\rho_w g}+h\frac{\rho_{air}}{\rho_w}=h+\frac{p_2}{\rho_w g}$$ $$\frac{\rho_{air}}{\rho_w}=1$$
Which is clearly false. Does anyone know what the error here is?
Apply Bernoulli Principle to the top (free surface) of the two pitot tubes (1 for static and 2 for dynamic with the points colored in red): $$\frac{p_1}{\rho_w g}=h+\frac{p_2}{\rho_w g}$$
The difference in air pressure would give the following:$$p_1=p_2+h\rho_{air} g$$
Solving for h would give: $$\frac{p_2+h\rho_{air}g}{\rho_w g}=h+\frac{p_2}{\rho_w g}$$ $$\frac{p_2}{\rho_w g}+h\frac{\rho_{air}}{\rho_w}=h+\frac{p_2}{\rho_w g}$$ $$\frac{\rho_{air}}{\rho_w}=1$$
Which is clearly false. Does anyone know what the error here is?
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