Problem1 It is known that for a laminar flow through a round pipe φ(D)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively. Consider a fully developed, lami...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal ength. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses
Problem 2 Find the velocity profile for steady, fully-developed, laminar flow in a circular pipe. Integrate this velocity profile to find the mass flowrate through a pipe of length L for a given pressure drop Ap.
i really appreciate it if explain this throughly June 1. Consider steady, fully-developed laminar flow of air through a Laminar Flow Element (LFE, a type of flow-meter) with an aligned bundle of 100 small bore tubes, each of diameter D 2.00 mm, and length L 200.0 mm. The pressure drop per unit length (Ap/L) across each of the 100 tubes is a function of the tube diameter D, fuid viscosity u (in units N s/m2), and average air velocity Vave....
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
H2.3 Consider water at 20°C flowing through a horizontal pipe of diameter 15 cm and length 10 m. The flowrate is 0.021 m3/s and the wall shear stress is 5.76 N/m2. Assume fully developed flow. a. Verify that the flow is turbulent b. Determine the pressure drop [N/m2 c. Estimate the viscous sublayer thickness [mm], i.e., where y+ 5 d. Compare results of part c. with typical pipe roughness (see Table 8.1 in text and comment on implication e. Using...
A light oil is flowing through a commercial steel pipe of diameter D1. The head available to produce flow is independent of the flow rate. It is decided to utilise this head to increase the oil flow rate fourfold by installing a second pipe in parallel with the first pipe and of the same length. What should the diameter of the second pipe be, if: (i) flow in each of the two pipes is highly turbulent and the same roughness...
3. (a) For the flow of a real fluid (p, u) in a rough (e measures losses lead to a pressure gradient along the pipe - Ap/L. Determine an expression for the pressure roughness) horizontal pipe energy Ap ( L pV2 gradient for a pipe of diameter - d, flowing with a mean velocity - V. pVd'd d (b) If for a 75mm diameter pipe flowing with water at 0.25m/s the measured pressure drop is 120Pa/m What will be the...
Question in the picture smooth pipe: Total length, L Diameter, d -25 mm 4 m tank water (pa 1,000 kg/m3, μ 0.001 kg/ms) flows from a very large tank (that is open to atmosphere) through an L 4 m total length of smooth pipe of d = 25 mm diameter at a bulk velocity of 6 m/s. The water then exits the pipe at 3 m above ground as a free jet. The pipe network contains a gate valve (V),...
8-C) As shown below water is pumped and sprayed through a nozzle into the atmosphere at 20 m/s at an elevation 10 m above the reservoir surface. The mass flow rate is 40 kg/s and the volumetric flow rate is 0.040 m3/s. The large diameter inlet pipe total length is 50 m. The pump effidency is 65%. The longer smaller diameter pipe leaving the pump is 200 m in total length. The pipes have different diameters as indicated below. The...