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A horizontal pipe is shown in the figure below. At the...
Please help me thanks. A horizontal pipe is shown in the figure below. At the inlet...
Please help me thanks.
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: V = 16- y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.07 [Pa s] and its density is 1030 kg/m3,...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: 16-y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: v = 16-y? cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa s] and its density is 990 kg/m3, calculate: Y 4 v= 16...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using 1 and 2) and a nozzle outlet (indicated using 3). Helium gas flows through the system, and can be treated as an ideal gas with constant specific heats. The pressure of the helium at the two inlets and outlet is P, = 10 MPa, P2-15 MPa and P3-8 MPa, and the corresponding velocity of the helium gas is V - 10 m/s, V,- 15...
Starting from the expression for the flow rate in a pipe, Q. for incompressible fluid: Q=T...
Starting from the expression for the flow rate in a pipe, Q. for incompressible fluid: Q=T R* Ap /(8 uL) (1) where R is the pipe radius, Ap is the pressure difference between the inlet and the outlet sections. u is the fluid density, and L is the pipe length. please prove that: 4t/(0.5 p v)= 64 /Re (2) where tw is the wall shear stress, and p is the liquid density and v is the average velocity in the...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
The fluid domain shown in Figure A6 has a gap width of into the paper. If...
The fluid domain shown in Figure A6 has a gap width of into the paper. If the general form of the velocity profile is given by 1 u(y) = Op2 2ur Then a) Show that the specific profile is given by Uy + Op 2 u(y) [5 marks] b) Find the shear stress if the fluid is Newtonian [5 marks] c) Evaluate the average velocity. [5 marks d) Sketch the velocity profile in the domain when the pressure gradient is...
1. Water is flowing in a pipe as shown in the figure. The diameter of the...
1. Water is flowing in a pipe as shown in the figure. The diameter of the cross section area A1 is twice the diameter of A2. The velocity of flow v1 is 2.00m/s while h and h2 are 5.00 cm and 30.0 cm, respectively. Take the density of water to be 1000. kg/m3 (a) Find v2 (b) Calculate the pressure difference P P2 between the two ends of the pipe 2
(a) A horizontal pipe of diameter 10 cm carries crude oil from A to C as...
(a) A horizontal pipe of diameter 10 cm carries crude oil from A
to C as shown in Figure 4. At a point B, midway between A and C,
oil leaks at a volume flow rate of QL . The pressure
drop per unit length along AB is 640 Pa/m and along BC is 600 Pa/m.
Determine the leakage flow rate QL . The density of oil
is 800 kg/m3 and its dynamic viscosity is 0.1 N.s/
m2 . You...
2:50 PM Sat Apr 27 2. A pipe with an elbow is shown in the figure. The entrance is connected to another pipe with a flange The inlet and exit areas are 0.02 mi and 0.01 m respectively. The inlet...
2:50 PM Sat Apr 27 2. A pipe with an elbow is shown in the figure. The entrance is connected to another pipe with a flange The inlet and exit areas are 0.02 mi and 0.01 m respectively. The inlet pressure and velocity are 10 Pa andO 5 m/s respectively. (a) Determine the anchoring force. b) If the velocity varies linearly in the last gne meter of the pipe, determine the acceleration of the luid at the exit (25 points)...
Please help me thanks.
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: V = 16- y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.07 [Pa s] and its density is 1030 kg/m3,...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: 16-y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: v = 16-y? cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa s] and its density is 990 kg/m3, calculate: Y 4 v= 16...
3. (15 marks) As shown in the figure, a chamber has two pipe inlets (indicated using 1 and 2) and a nozzle outlet (indicated using 3). Helium gas flows through the system, and can be treated as an ideal gas with constant specific heats. The pressure of the helium at the two inlets and outlet is P, = 10 MPa, P2-15 MPa and P3-8 MPa, and the corresponding velocity of the helium gas is V - 10 m/s, V,- 15...
Starting from the expression for the flow rate in a pipe, Q. for incompressible fluid: Q=T R* Ap /(8 uL) (1) where R is the pipe radius, Ap is the pressure difference between the inlet and the outlet sections. u is the fluid density, and L is the pipe length. please prove that: 4t/(0.5 p v)= 64 /Re (2) where tw is the wall shear stress, and p is the liquid density and v is the average velocity in the...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
The fluid domain shown in Figure A6 has a gap width of into the paper. If the general form of the velocity profile is given by 1 u(y) = Op2 2ur Then a) Show that the specific profile is given by Uy + Op 2 u(y) [5 marks] b) Find the shear stress if the fluid is Newtonian [5 marks] c) Evaluate the average velocity. [5 marks d) Sketch the velocity profile in the domain when the pressure gradient is...
1. Water is flowing in a pipe as shown in the figure. The diameter of the cross section area A1 is twice the diameter of A2. The velocity of flow v1 is 2.00m/s while h and h2 are 5.00 cm and 30.0 cm, respectively. Take the density of water to be 1000. kg/m3 (a) Find v2 (b) Calculate the pressure difference P P2 between the two ends of the pipe 2
(a) A horizontal pipe of diameter 10 cm carries crude oil from A
to C as shown in Figure 4. At a point B, midway between A and C,
oil leaks at a volume flow rate of QL . The pressure
drop per unit length along AB is 640 Pa/m and along BC is 600 Pa/m.
Determine the leakage flow rate QL . The density of oil
is 800 kg/m3 and its dynamic viscosity is 0.1 N.s/
m2 . You...
2:50 PM Sat Apr 27 2. A pipe with an elbow is shown in the figure. The entrance is connected to another pipe with a flange The inlet and exit areas are 0.02 mi and 0.01 m respectively. The inlet pressure and velocity are 10 Pa andO 5 m/s respectively. (a) Determine the anchoring force. b) If the velocity varies linearly in the last gne meter of the pipe, determine the acceleration of the luid at the exit (25 points)...
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