(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.
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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 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
Transcribed Image Text:(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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