Question

Carefully understand the concept and ansewr. FLuid Mechanics

Consider a pipe system as shown in Figure 1. The pipe is connected to a mercury manometer at point 1 and point 2. Prove that the pipe wall between these points is exerting less than 600 N of fluid force. The frictional losses along the pipe is not negligible Water 1.5 m 1 0.15 m 2. 30° 0.15 m Mercury,SG 13.5

Answer 1

-Z Water •1.5m. bisn . 30°re Z = L Sino 10-15m Mercury Sh 13.5 non vanis for a corcular dube, the natural choice is cylendical Coorclinates, since the fluid flow is in the direction, Ich = 0, p=0, and only z exist. V = V2 (de) and Pressure P = P(z) . The only rishing components of the stress tensor are Tozzy, which depend only on de Rate of momentum = In-Out & Generation - Accumulation At Steady Sterte, the accumulection is zelo The pressure force acting on furgone [p 20048] The Gravity force acting on the volume. [[PgSino) 2 40 4127

The general definition of the modified pressure = 8 + 8 gh h height at z=0 at z=2 AP = AP 22 [h= Z &in =-Sino) P = &-fazsino Po =P P = 1 - 3g: 5 P.-P. to be + f g L sino from heigen pol seville equatim &> radive of pipe Toz L₃ Length of pipe yg shear stre88 2ARL Prz Integreating it from 850 ITR ESP HATT RLGL. Sin e hele 48 = -4 op - PGx 0-15/19.5-D of – 18393.75 Pa Fz ax (0.075)x18393.75 + TX(0.075}</00x17 Ako se Ifz < 600 N Fz = fz to r=R 2 fz 455. Of N Sol