
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...
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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,...
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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 0.01 [Pa s) and its density is 900...
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...
(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. In the figure below a cylindrical pipe with radius R and length L is shown. A liquid with constant physical properties is pumped upward in Z-direction, opposing the gravity. Flow is steady state, laminar and incompressible. Tube length is sufficiently Targe that the velocity varies only with respect to r. The pressure at z=0 is Po and z=L is P a. Obtain the velocity profile of the flowing water by using shell balance. (V, (PCOSGOR? (Po-PUR2 A AHL b....
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...
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)...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.50 cm. At the higher point located at y = 2.50 m, the pressure is 1.30 ✕ 105 Pa and the pipe radius is 1.20 cm.