brine solution with density of 1230 kg/m³ moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is P₁ = 2.00 x 104 Pa, and the pipe iameter is 5.00 cm. At another point y = 0.40 m higher, the pressure is P₂ = 1.00 x 104 Pa and the pipe diameter is 2.50 cm. (a) Find the speed of flow (in m/s) in the lower section. 1.72 Write Bernoulli's equation for this situation. Use the continuity equation to express v₁ in terms of V₂. Combine Bernoulli's equation and the equation of continuity to determine the desired speed. m/s (b) Find the speed of flow (in m/s) in the upper section. * You determine v₁ in part (a). Use the equation of continuity to express v₂ in terms of v₁ and the diameter (or the radius) of the pipe at both ends. m/s (c) Find the volume flow rate (in m³/s) through the pipe. X The volume flow rate at any point in the pipe may be expressed in terms of the speed and radius (or diameter) of the pipe at that point. If the pipe is filled with a fluid, should the volume flow
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
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