Question

Als of constant density flows steadily through a circular pipe of area A before entering a frictionless nozzle of minimum area Az as shown. Assume one-dimensional flow. The manometer reads a deflection of D . What is implied about the fluid's viscosity by assuming the flow to be one-dimensional? • What type of pressure difference is being read by the manometerle, is the manometer measuring static dynamic, or total pressure) • Find the velocity V at the nozzle exit in terms of the geometric parameters on the figure (D, A1, A2, 21.-2) and the densities of the air P, and manometer fluid Pm V2 22 1

Answer 1

AU Foi Zz Z Can not resist Shearing 8 mall angel A fluid at best forces. under the action of such forees it deforms are. Fon dluids Continuously, however the Shear stres & is a function of the rate of strain dy d. The properly of a fluid to berist the growth of Shear deformation is called viscality. Most Common fluids abey newton's law of viscosity, which states that the shear stress is proportional strain bate: Te=M dy to the du It ory Reynold's number (Re) = Pvd ... If an incheases then Re decreases and less than 2000 for pipe flow is called laminah flow and greater than 4000 is called turbulent flow. The pressure difference is being read the manometen is Static Pressure. from Bernoull's earnation, + 2 t Q-A,Y ? pa zg pg وح P2 + Z2 + 2 A2v2 = V2 NOW, (P2 +Z2 = pa • 1 x D ) - Pate 5 let - 1x D + (P-)0327 A₂² x vzli A22 A12 .) x D x 27 Ag2 A 2