Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD,...
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, laminar flow Q- through two horizontal smooth pipes of equal length. 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. Problem1...
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.
Problem The relation between pressure drop and flow rate of laminar flows in a pipe is given by l bar 50 m 20° 128u dz PS Flow rate Q is the product of the average velocity and the cross-sectional area of the pipe What is the pressure needed to drive a viscous oil flow upslope through a 12 cm diameter pipe? The length of the pipe is 50 meters. The slope is 20°. At the end of the pipe, the...
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...
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...
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....
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...
Problem 1. Water flows from a large tank through a smooth pipe of length 80 m. Both the tank free surface and jet exit are exposed to the atmosphere. Take the density of water p = 1000 kg/m3, dynamic viscosity of water u = 0.001 kg/m.s, atmospheric pressure = 100 kPa, and gravity = 9.8 m/s2. Calculate the volumetric flow rate through the pipe. Neglect entrance losses to the pipe. Hint: Consider the inlet and outlet sections of the pipe...
Question 1 The figure below shows a simple water pipe network. Relevant pipe properties are given in the figure and table below. The major losses of the pipes can be calculated by Darcy Weisbach equation. The friction factor () for all pipes is 0.015. Assuming that minor losses in the pipe network can be ignored and the pipe network is on a horizontal plane, determine the flow rates in all pipes using Hardy Cross method. Also, calculate the pressure head...
Problem 1. Water flows from a large tank through a smooth pipe of length 80 m. Both the tank free surface and jet exit are exposed to the atmosphere. Take the density of water p = 1000 kg/m3, dynamic viscosity of water j = 0.001 kg/m.s, atmospheric pressure = 100 kPa, and gravity = 9.8 m/s2. Calculate the volumetric flow rate through the pipe. Neglect entrance losses to the pipe. Hint: Consider the inlet and outlet sections of the pipe...