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e) Write down: i) the equation for mass conservation for an incompressible fluid flowing through a tube of varying diameter,

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A2A of fluid o on o -se Ket am mass is allowed to flou through the tube und in Am = ve To f is der At section o f time it takequating Vista, p = fv at Az AIV = A2 V2 Bernaulli equation is derived by using the law that Work done by all the forces. = cWork done by pressures inst = (1, -12) Am Work done by gravity = Tenergy APE = Amg he- Amghe but Work done by gravity - = sonDate __/ 5.5m Abhluina Bernaullies th coran at o and - Tosic 2+* tgk, s + +gh. ZŁ Aviz AzV2 = rate of flou) Loos 4x108 m² = M2 4x10 x 10 boxx 400 60 = uxlox 10° GoXDX100 - - í + X 0= 2x10° looo u anza + 1085.5 loom X2 P1 = 355+ (0.0225) -0.0014) PI=2

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