raywang5 said:Homework Statement
A liquid is flowing through a horizontal pipe whose radius is 0.02m. The pipe bends staight upward through a height of 10.0m and joins another horizontal pipe whose radius is 0.04m.
Homework Equations
what volume flow rate will keep the pressures in the two horinontal pipes the same?
The Attempt at a Solution
i tried to use p1+1/2xpxv1^2+pgh1=p2+1/2xpxv2^2+pgh2..
any idea?
The formula for calculating flow rate in a horizontal pipe is Q = A x V, where Q is the flow rate (volume per time), A is the cross-sectional area of the pipe, and V is the velocity of the fluid.
The formula for calculating flow rate in a vertical pipe is Q = A x V x C, where Q is the flow rate (volume per time), A is the cross-sectional area of the pipe, V is the velocity of the fluid, and C is the coefficient of discharge which takes into account the effects of gravity on the flow.
The flow rate in a pipe can be affected by several factors including the diameter of the pipe, the viscosity of the fluid, the roughness of the pipe surface, and the pressure gradient along the length of the pipe.
In a horizontal pipe, the flow rate increases with increasing velocity. This is because the cross-sectional area of the pipe remains constant, so as the velocity of the fluid increases, more fluid can pass through the pipe per unit time, resulting in a higher flow rate.
Yes, the flow rate in a horizontal pipe can be greater than the flow rate in a vertical pipe. This is because the velocity of the fluid in a horizontal pipe can be higher due to the absence of gravity, which can restrict the flow in a vertical pipe.