(1)(a) What is the physical meaning of the equation of continuity?(b) Is the continuity equation for steady incompressible flow satisfied if the followingvelocity components are invelved?V = 2.x2 - xy + z2 V, = x2 - 4xy + y,V2 = -2xy-yz + y²%3D(c)A gas flows through a square conduit. At one point along the conduit, the conduitsides are 0.100 m, the velocity is 7.55 m/s, and the gas's mass density is (for its particularpressure and temperature) 1.09 kg/m'. At a second point, the conduit sides are 0.250 m and thevelocity is 2.02 m/s. Find the mass flow rate of the gas and the gas's mass density at the secondpoint.(2)equation for turbulent flow in a fully-filled tube.(a) Write out and define all the terms of the overall Mechanical Energy per unit mass(b)Determine the energy loss in 300 m of new, uncoated 30.5 cm inside diametercast iron pipe when water at 15°C flows at 1.5 m/s. Assume that the pipe has a roughness of0.244 mm. Viscosity and density of water are 1 x 10 Pa s and 1000 kg/m' respectively.() What are the conditions that transform the mechanical! energy equation into theBernoulli equation? State the energy balance equation as the Bernoulli equation.(d) The tank below is cylindrical with a diameter of 10 m. The outlet is a cylindricalfrictionless nozzle, with a diameter 1 m. The top of the tank is open to the atmosphere. Whenthe level in the tank is 10 m above the centerline of the outlet, how fast is the level in the tank

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(1) (a) What is the physical meaning of the equation of continuity? (b) Is the continuity equation for steady incompressible flow satisfied if the following velocity components are involved? SC K = 2x2 - xy + z? Vy = x2 - 4xy + y², V2 = -2xy-yz + y? (c) A gas flows through a square conduit. At one point along the conduit, the conduit sides are 0.100 m, the velocity is 7.55 m/s, and the gas's mass density is (for its particular pressure and temperature) 1.09 kg/m. At a second point, the conduit sides are 0.250 m and the velocity is 2.02 m/s. Find the mass flow rate of the gas and the gas's mass density at the second point.

(1) (a) What is the physical meaning of the equation of continuity? (b) Is the continuity equation for steady incompressible flow satisfied if the following velocity components are involved? SC K = 2x2 - xy + z? Vy = x2 - 4xy + y², V2 = -2xy-yz + y? (c) A gas flows through a square conduit. At one point along the conduit, the conduit sides are 0.100 m, the velocity is 7.55 m/s, and the gas's mass density is (for its particular pressure and temperature) 1.09 kg/m. At a second point, the conduit sides are 0.250 m and the velocity is 2.02 m/s. Find the mass flow rate of the gas and the gas's mass density at the second point.

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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Question

100%

(1)
(a) What is the physical meaning of the equation of continuity?
(b) Is the continuity equation for steady incompressible flow satisfied if the following
velocity components are invelved?
V = 2.x2 - xy + z2 V, = x2 - 4xy + y,
V2 = -2xy-yz + y²
%3D
(c)
A gas flows through a square conduit. At one point along the conduit, the conduit
sides are 0.100 m, the velocity is 7.55 m/s, and the gas's mass density is (for its particular
pressure and temperature) 1.09 kg/m'. At a second point, the conduit sides are 0.250 m and the
velocity is 2.02 m/s. Find the mass flow rate of the gas and the gas's mass density at the second
point.
(2)
equation for turbulent flow in a fully-filled tube.
(a) Write out and define all the terms of the overall Mechanical Energy per unit mass
(b)
Determine the energy loss in 300 m of new, uncoated 30.5 cm inside diameter
cast iron pipe when water at 15°C flows at 1.5 m/s. Assume that the pipe has a roughness of
0.244 mm. Viscosity and density of water are 1 x 10 Pa s and 1000 kg/m' respectively.
() What are the conditions that transform the mechanical! energy equation into the
Bernoulli equation? State the energy balance equation as the Bernoulli equation.
(d) The tank below is cylindrical with a diameter of 10 m. The outlet is a cylindrical
frictionless nozzle, with a diameter 1 m. The top of the tank is open to the atmosphere. When
the level in the tank is 10 m above the centerline of the outlet, how fast is the level in the tank

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