2) (LON3) (30 points) Given that; Force =f(flow velocity, body length, fluid density, fluid viscosity, speed...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
help An impeller is a rotor used to increase the pressure and flow of a fluid. For an isolated rotating impeller the required torque, T can be described by diameter of impeller D, density of fluid p, dynamic viscosity of the fluid u and angular velocity of the impeller w. By using Buckingham Pi Theorem (dimensional groups theorem), determine the dimensionless relationship between Torque and other parameters. Show that nondimensional parameters that you find. NOTE: Use a length, a density...
с 79% 251 PM Sat Apr 27 2. A solid sphere of diameter d and density ph falls in a fluid of density p and kinematic viscosity u.The gravitational acceleration is g and the terminal velocity is y (a) Determine the non-dimensionalt o for dependence of the viscosity on the other parameters. (b) If a model sphere with di-d/z is use test, determine the kinematic viscosity of the fluid and the terminal velocity vi that make the problem similar. (25...
A 2D flow has the pressure and velocity fields given below. Calculate the total force, pressure force, viscous force, and body force acting on a fluid particle located at (?,?)=(2,−2) m. Assume that the density and dynamic viscosity are constant and given by 1000 kg/m3 and 10-3 kg/(m s), respectively. ?̅ =(1+?2)?̂+(1−?2)? ̂ m/s ?=(?+?) kPa
Name: Problem 4 (20 pts). The velocity potential for a cylinder rotating in a uniform stream of fluid is 2TT where U, a, Г are constants. The density of the flow is , and gravitational force is negligible. Compute the pressure difference between points A and B. -+ Name: Problem 4 (20 pts). The velocity potential for a cylinder rotating in a uniform stream of fluid is 2TT where U, a, Г are constants. The density of the flow is...
A semi-infinite body of liquid, with constant density and viscosity, is bounded below by a horizontal surface. Initially, the fluid and solid are at rest. Then at time t = 0, the solid surface is set in motion in the positive x direction with a constant velocity vo = 10 m/s, as shown in Figure 4-1. y y = 5 cm t< 0 y = 0 cm Fluid at rest у y = 5 cm t = 0 y =...
Consider the steady, incompressible flow of depth h of a liquid of known density ρ and unknown viscosity µ down a flat plate as shown in Figure 1. Air is the fluid above the liquid layer. The force of gravity is in the vertical direction with acceleration g, and the plate is at an angle θ with respect to the horizontal. Assuming the coordinate system as shown, with x aligned with the flow direction, and y normal to the plate,...
1. (25 points) A simply supported beam of diameter D, length L, and modulus of elasticity E (units of N/m2)is subjected to a fluid crossflow of velocity V, density p and visosity . Its center deflection δ is assumed to be a function of all these variables. Using p, L and V as the repeating variables for Buckingham's π theorem, determine the dimension!cs parameters that are involved in this relation singp l an 1. (25 points) A simply supported beam...
Home looking Files X Exam2(2).pdf + Exam2%20(2).pdf 4/4 3. An incompressible, viscous fluid with density, p, flows past a solid flat plate which has a depth, b, into the page. The flow initially has a uniform velocity U... before contacting the plate. After contact with the plate at a distance x downstream from the leading edge, the flow velocity profile is altered due to the no-slip condition. The velocity profile at location is approximated to have a linear shape, u...
Just solved (Task 2) Just solved (Task 2) Just solved (Task 2) You work as a technical engineer in a company that designs and installs sound systeins, such as speakers for large halls and open spaces. The company manager has assigned you to design a new sound system for a stadiun, and asked you to make a technical report explaining some preliminary studies on the behaviour of sound waves. Task 1: A When we are designing the sound levels to...