Question 2 (cont'd) (b) As shown in Figure 2.3, a liquid of density p flows upwards against gravity through a contraction. The vertical height of the contraction is B. The liquid pressure, flow velocity and cross sectional area at the contraction inlet (Station 1) are P, V₁ and A₁, respectively, whereas the liquid pressure, flow velocity and cross sectional area at the contraction outlet (Station 2) are P₂, V₂ and 4₂, respectively. Assume that the liquid is inviscid and the flow is steady. A U-tube manometer is used to measure the difference in pressure between Stations 1 and 2. The manometer contains a liquid of density 1.2p, and the difference in liquid levels in both limbs of the manometer is H. (i) (ii) Obtain an expression for the pressure difference (P₁-P) between the contraction inlet and outlet solely in terms of the quantities p. g. B. Vi, A₁ and 4₂. Obtain an expression for the difference in liquid levels in both limbs of the manometer H solely in terms of the quantities V₁, g. 4₁ and 4₂ P2 V₂ (2) A2 ↓₂ 254 B A₁ Pipe- Flow Contraction Manometer 1.2p Figure 2.3

Question 2 (cont'd) (b) As shown in Figure 2.3, a liquid of density p flows upwards against gravity through a contraction. The vertical height of the contraction is B. The liquid pressure, flow velocity and cross sectional area at the contraction inlet (Station 1) are P, V₁ and A₁, respectively, whereas the liquid pressure, flow velocity and cross sectional area at the contraction outlet (Station 2) are P₂, V₂ and 4₂, respectively. Assume that the liquid is inviscid and the flow is steady. A U-tube manometer is used to measure the difference in pressure between Stations 1 and 2. The manometer contains a liquid of density 1.2p, and the difference in liquid levels in both limbs of the manometer is H. (i) (ii) Obtain an expression for the pressure difference (P₁-P) between the contraction inlet and outlet solely in terms of the quantities p. g. B. Vi, A₁ and 4₂. Obtain an expression for the difference in liquid levels in both limbs of the manometer H solely in terms of the quantities V₁, g. 4₁ and 4₂ P2 V₂ (2) A2 ↓₂ 254 B A₁ Pipe- Flow Contraction Manometer 1.2p Figure 2.3

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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