Question The pressure drop Ap, along a straight pipe of diameter D has been experimentally studied,...
7. (10 points) The pressure drop, AP, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, p, fluid viscosity, H, and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure drop, Ap, which develops across the contraction is a function of D, and D2, as well as the velocity, V, in the larger pipe, and the fluid density, P, and viscosity, u. a) Why shouldn't you choose both D, and D2 as repeating variables? b) Use D, V, and u as repeating variables to determine a suitable set of dimensionless parameters using the Buckingham...
The pressure drop, P, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, , fluid viscosity, , and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
105. When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due to friction is given by where ? is the fluid density, Vis the velocity, L/D is the pipe length-to- diameter ratio, and f is the D'Arcy friction coefficient. For laminar flow, the friction coefficient f can be related to the Reynolds number, Re, by a relationship of the form ??? Use the measured data in Table 5 to determine a and b by a...
It is smooth not rough for the question being asked where AP, is the frictional pressure drop per unit length, w is the fluid velocity, d is the pipe diameter, p is the fluid density, u is the fluid viscosity and c is the pipe roughness (with units of length). Air flows through a smooth pipe (i.e. no roughness) of 0.3 m in diameter at a mean velocity of 25 m/s. A 1/10 model of the pipe is built made...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
6: (a) Use the scaling laws to estimate the change of volumetric flow and pressure drop per unit length in a circular tube if the radius of the tube is reduced by a factor of 10. The pressure drop in a capillary tube is given by AP- 8uVavg.Lia. Here, L length of tube, a is the radius, g is the average speed of fluid and u is the viscosity). (b) Evaluate the resistance per unit length (R/L) for water flow...
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to...
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...
(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...