Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles

Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. 1. Find an expression for Q2 2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the other flow rates, areas and angles. 3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles

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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Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of AO
and the flowrate is Q0. The exits have flow rates of Q1 and Q2, and cross-sectional areas of A1 and
A2, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 01 and 02 with respect
to the horizontal, as shown.
Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change
with time.
1. Find an expression for Q2
2. If the horizontal force on the vane is zero, find an expression for Q2 in terms of the
other flow rates, areas and angles.
3. Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles
Q₂₁
1
Ꮎ .
1
A₁
Qo
Ao
0.
2
A₂
Q₂

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Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of Ao and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles Q₁ 0₁ A₁ le Ao 10₂ A₂ 22 Figure Q2: Fluid entering a vanes and exiting in 2 directions.