a viscous and surface-tension effects are neglected, the velocity V of eflux of liquid from a...
The average velocity < v > of a viscous fluid through a pipe is proportional to the drop in pressure ∆P, length L, radius of the pipe r, and viscosity of the fluid η (units: kg/m/s). Performing various experiments it has been determined that the velocity is directly proportional to the drop in pressure divided by the length. Determine the dependence of < v > on these quantities.
Fluid 7-The surface tension is phenomenon due to (a) Cohesion (b) Viscous force (c) Adhesion between liquid and solid molecules (d) Difference between the forces of adhesion and cohesion 8-The discharge 100 ft/min is equal to (a) 41.23 LUs (b) 45.23 L/s (c) 47.23 Ls (d) 49.23 L/s 9-Specific gravity is the relation between (a) the density of the fluid of specific material to the density of water at 4 °C (b) the density of the fluid of specific material...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
I would like a step by step solution please and clear to read. Surface Tension and Bubbles Surface tension is a force caused by the attraction of liquid molecules on a boundary surface for each other. It acts tangential to the surface and is modeled as a single number, the surface tension Consider a square film on a wire frame. The bottom edge is movable and, when the frame is vertical, as shown, the surface tension of the film pulls...
Starting from the expression for the flow rate in a pipe, Q. for incompressible fluid: Q=T R* Ap /(8 uL) (1) where R is the pipe radius, Ap is the pressure difference between the inlet and the outlet sections. u is the fluid density, and L is the pipe length. please prove that: 4t/(0.5 p v)= 64 /Re (2) where tw is the wall shear stress, and p is the liquid density and v is the average velocity in the...
5) The break up of a liquid jet into droplets of diameter d depends on the jet diameter D, the jet velocity, v, viscosity, μ, density, p, and surface tension, σ. a) Determine the relevant pi groups. b) Which force ratios are represented in your pi groups? If this is a well-known ratio, state its name.
Question 2 4 pts Question 1lb) If viscous effects are negligible, determine the flow rate Qt (m3/s) at Point 1 in the large pipe if h-5.8 m and V2 66m/s The density of water is 1000 kg/m3. Atmospheric pressure Patm 101.325 kPa. Gravitational acceleration g- 9.81 m/s Your answer should be in m3/s and accurate to4d.р. Question 3 3 pts If viscous effects are negligible, determine the gauge pressure p1 (kPa) at Point 1 in the large pipe for Q1...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
QUESTION 2: The distribution of surface velocity V over a thin, symmetric airfoil at a small angle of attack was obtained by the potential theory and is shown below, where U is the freestream velocity. Here, c is the chord length of the airfoil and x is the distance measured from the leading edge along the chord. X/C 0.0 0.1 0.2 0.3 0.4 0.6 0.8 1.0 1.29 V/U. (suction side) V/U. (pressure side) 0.00 0.00 1.28 1.05 1.29 1.13 1.16...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...