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The constant in bernoulli's theorem cannot be the same in the two parts of the flow since the pressure is continuous, the velocity is continuous, the height is continuous Here is there any change in the temperature (internal energy)? Therefore $\mu g h$ cannot be continuous
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I am lacking a little time to go into this point, which seems interesting to me. 0 the bernoulli's equation is usually thought to be applied to an incompressible fluid (without potential energy change) as $$\frac12 v_1^2 + \rho p_1 = \frac12 v_2^2 + \rho p_2 $$ where, v is velocity, $\rho$ is the density (which is constant), p is the pressure In any problem in fluid mechanics where you need to apply bernoulli's equation, wherever you have cross section opened to the atmosphere, pressure is atmospheric
Like when you want to derive torricelli's law for fluid flowing through orifice in vertical container.
Being a simple energy conservation equation, bernoulli's equation can't accommodate these In the case of hydrofoils, assume they travel trough the water at constant velocity Bernoulli's principle allows us to infer a decrease in pressure from an increase in velocity only when the internal energy of the pressure is the only possible source of the increase in kinetic energy But when the finger blocks the hole, wouldn't that add extra pressure on the fluid?
Equation 1a is a mass balance for the first tank The last term is the flow out of the tank If you had a free outfall from the first tank, then applying bernoulli's principle would give you an expression for the rate of flow though the hole at the bottom $$ p _ {atm} + \rho g h_1 = p _ {atm} + \frac {1} {2} \rho v_ {out} ^2$$ when the tanks are connected, you have the same thing, except now.
How does pressure of a fluid change with area, according to the continuity equation and bernoulli's equation
Ask question asked 11 years, 9 months ago modified 5 years, 8 months ago Equation of continuity:$$\rho_1a_1v_1 = \rho_2a_2v_2$$ using bernoulli's equation, i receive a very large negative root or a velocity of about ~550m/s in section 1 which seems very ridiculous Is there a better suited equation for this application The goal is to determine the size of piping needed for section 2.
Another reference book i have says viscosity is not an assumption for ideal fluid flow for which bernoulli's principle is valid In my opinion it is not valid since it is conservation of energy ,energy is lost due to viscous forces.
