Consider an incompressible inviscid fluid: a) Write Bernoulli's equation for the fluid. b) Write the energy...
(Fluid mechanics) 2 of 3 Water, assumed inviscid and incompressible, flows steadily out of a large tank as shown in the adjacent figure. Above the water there is a 2-m layer of oil of specific gravity SG = 0.81 and the water outlet is located 0.7 m below the oil-water interface. Take the elevation reference (z = 0) at the outlet level. Determine: Oil, SG = 0.81 0.7 m Water 50 mm diameter a) Are the validity conditions of Bernoulli's...
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...
Radial flow between two coaxial cylinders. Consider an incompressible fluid, at constant temperature, flowing radially between two porous cylindrical shells with inner and outer radii xR and R (a) Show that the equation of continuity leads to V C/r where C is a constant (b) Simplify the components of the equation of motion to obtain the following expressions for the modified-pressure distribution: ds dr dz (c) Integrate the expression for dP/dr above to get (d) Write out all the nonzero...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
Please solve this problem and show working. Thank you. 9. Bernoulli's equation With a manometer as shown below, we can find an average velocity at a certain position by applying the Bernoulli equation. Suppose that the cross-section area (2) of pipe at point 2 is twice smaller than that (S) at point 1. The density of incompressible flowing fluid and manometer fluid are denoted as p and p', respectively. Neglecting a surface viscous friction between the two points (1 and...
4. (a) (i) Write down the steady-flow energy equation for low-speed incompressible flow, and explain in detail each term in the equation 4 marks) ii) Explain what is meant by the term internal energy in relation to fluids. 4 marks)
ABCD plesse!!!! 3B.11 Radial flow between two coaxial cylinders. Consider an incompressible fluid, at constant temperature, flowing radially between two porous cylindrical shells with inner and outer radii KR and R. (a) Show that the equation of continuity leads to v, C/r where C is a constant. (b) Simplify the modified pressure distribution: the components of the equation of motion to obtain the following expressions for (3B.11-1) dz
3.0, Radial Flow between Concentric Spheres Consider an isothermal, incompressible fluid flowing radially between two concentric porous spherical shells. (See Fig. 3.0.) Assume stecady laminar flow withu- ul) Direction of flow flow between concentric porous spheres. Fig. 10. Radial Note that here the velocity is not assumed zero at the solid surfaces. Show by use of the cquation of continuity that a. (3.0- where y is a constant. b. Show by use of the equations of motion that the pressure...
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow, (b) if it is a possible incompressible flow, and (c) the acceleration of a fluid particle at point (x, y, z) (2, 3, 4). хузі-4y+yk. Deter- 5.1 Which of the following sets of equations represent possible two- dimensional incompressible flow cases? (d) 11 = (2x+4y)st; u=3(x+y)yt 5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow,...
Consider a fully developed laminar flow of an incompressible Newtonian fluid between two infinite parallel plates, separated by a distance of 2B. The z coordinate is the direction of the flow. The width of the plates is 2W (direction y). The coordinate axis is located half of the 2 plates. a) Obtain the distribution of speeds in steady state. b) Obtain the expression for the maximum velocity and write the velocity distribution of part a) as a function of the...