1.3-1 A fluid is flowing through a round tube and its velocity profile is vz -...
An incompressible Newtonian fluid flow through a horizontal circular tube is shown in the following figure. We assume that the flow is steady, and its direction is parallel to the wall. By using the Navier-Stokes equations. determine the velocity profile and calculate the mean velocity and maximum velocity; Please give the details about how to simplify the N-S equation, how to integrate the simplified N-S equations with the proper boundary conditions, and the relationship between the mean velocity and maximum...
A fluid, n-Butyl alcohol is flowing at 60℉ with a velocity of 80 ft/s through a tube with a diameter of 0.20 inches. Assuming that the velocity distribution is parabolic, determine the magnitude of the shear stress at the wall of the tube.
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 2.00 m below the wide section. What is the diameter of the narrow section, if the pressure of the fluid...
A wire of radius ri is pulled coaxially at a constant velocity V through an incompressible Newtonian fluid in a horizontal tube of inner radius r2. Using the Navier-Stokes equation, derive the steady-state velocity distribution in the fluid neglecting end effects. 4.
Blood is flowing through IV tubing with a diameter of 0.5cm. The critical radius of the velocity profile has been determined to be 0.1 cm. Determine the average velocity. Assume that blood can be modeled as a Casson fluid with parameters ?y = 0.0289 dynes cm-2 and s = 0.229 (dynes s cm-2)^0.5.
7. Two round pipes have water flowing through them. Pipe B is half of the diameter of pipe A. If the average velocity of the flow through both pipes is the same, what is Q./Q.? B 8. A lubricating oil with a viscosity of 0.1 (N s/m' is between two plates, one stationary and one moving If the moving plate is moving with a velocity of 1.3 m/s and the distance between the plates is 0.4 cm what is the...
e) Write down: i) the equation for mass conservation for an incompressible fluid flowing through a tube of varying diameter, and ii) Bernoulli's equation. iii) Water is supplied to a house through an inlet pipe having an internal diameter of 40 mm. A pipe of internal diameter 20 mm delivers water to an upper level, 5.5 m above the inlet pipe at a rate of 4 L/min. and a pressure of 2 atm. Calculate the pressure of the water at...
Find the flow rate through a tube of radius 7 cm, assuming that the velocity of fluid particles at a distance r centimeters from the center is ) - 52 cm/s. 4233.3 cm/s X
Problem 2 A brass tube of inner and outer diameters D,-2 cm and Do-3 cm, respectively, is used to transfer heat from ambient air flowing across the tube to cold refrigerant (R-22) flowing inside the tube. The ambient air is flowing at un-0.1 m/s, and To 30°C. The cold refrigerant flow rate is m 1 gs, and its mean temperature is Tm-20°C. (a) Find the overall heat transfer coefficient, UA (b) To enhance the heat transfer, 16 straight fins of...