Water at 20°C flows between 80-cm-wide horizontal parallel plates 12 mm apart such that a pressure drop of 100 Pa occurs over a distance of 2 m. If the top plate is moving at 1.8 m/s in the direction of the flow, the flow rate, in L/s
Water at 20°C flows between 80-cm-wide horizontal parallel plates 12 mm apart such that a pressure...
SAE 30 oil ows between parallel plates 8 mm apart, a shows in the fire below. A mercury manometer, with wall preure tape 1 m apart, egisters a 6 cm height, as shown The velocity profile for plane Poiseuille Bow in given by y)- K1-4)whenseming the reference coordinate axes on the bottom plate SAE 10 oil 6 cm Mercury Calculate the oil's pressure drop per unit length between the pressure taps, in Pa/m Chat is the velacity profile, u(y), for...
Prob 1 • Two fixed parallel horizontal plates contains oil (SAE 30) which flows steadily in-between the channel. The pressure drop per unit length along the channel is 30 kPa/m, and the distance between the plates is 4 mm. The temperature of the oil is at 15.6°C. Assuming the flow is laminar, determine: (a) Volume flow rate (per meter of width) (b) Magnitude and direction of the shearing stress acting on the bottom of plate (c) The velocity along the...
Question 5 [20 marks) Consider Coutte flow, which occurs when we have a fluid suspended between two parallel plates, one of which is moving and the other of which is stationary. The velocity profile between these two plates is linear. We have water between these two plates and distance separating them of 1 mm. Given this information: (a) What is the force exerted on the stationary plate per m2 if the moving plate has a velocity of 0.1 m/s in...
In the diagram P1 and P2 are two parallel horizontal plates that are 5.4 mm apart in a vacuum and have a potential difference of 189 volts maintained between them, the upper plate being positive. Also, there is a horizontal magnetic field of 0.068. A horizontal beam of electrons is directed between the plates so that it is moving at right angles to the magnetic field as shown. a. Determine the magnitude of the force due to the electric field...
Chapter 06, Problem 072 Two fixed, horizontal, parallel plates are spaced 0.5 in. apart. A viscous liquid (H 8 x 103 lb s/ft2, SG = 0.9) flows between the plates with a mean velocity of 0.3 ft/s. The flow is laminar. (a) Determine the pressure drop per foot in the direction of flow. (b) What is the maximum velocity in the channel? b/ft3 (а) Др// %3D ft/s (b) Umax = Open Show Work Show Work is REQUIRED for this question:
In the diagram P1 and P2 are two parallel horizontal plates that are 8.0 mm apart in a vacuum and have a potential difference of 103 volts maintained between them, the upper plate being positive. Also, there is a horizontal magnetic field of 0.016 as shown. A horizontal beam of electrons is directed between the plates so that it is moving at right angles to the magnetic field as shown. The magnitude of the electric field between the plates, to...
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long (L) parallel surfaces separated by a distance b. The bottom surface at y 0 moves in the negative x-direction at a speed vo while the top surface at y b is stationary. In addition, a constant pressure gradient dP/dx is acting on the liquid in the x-direction. (a) Write the simplified form of the Navier-Stokes equation and the appropriate boundary conditions. (b) Derive an...
Problem 1: Differential Relations for a Fluid Particle (25 points) Two horizontal, infinite, parallel plates are spaced a distance b apart. A viscous liquid is contained between the plates. The bottom plate is fixed, and the upper plate moves parallel to the bottom plate with a velocity U. Assume no-slip boundary conditions. There is no pressure gradient in the direction of flow (a) Demonstrate using the Navier-Stokes equation in the x-direction that the velocity profile is of the form: (15...
7. (25 pts) Glycerin flows at 0.005 m''s through the narrow region between the two smooth plates that are 15 mm apart. Assume the plates are wide enough (0.4 m) to neglect end effects. Also, assume a steady, incompressible, and laminar flow. The density and viscosity of glycerin are ρ = 1260 kg/m and u 1.50 N s/m2. Simplified governing equations are sufficient. a) Derive the velocity distribution profile that gives 1 (ap -15mm b) Determine the pressure gradient acting...
(25 pts) Glycerin flows at 0.005 m/s through the narrow region between the two smooth plates that are 15 mm apart. Assume the plates are wide enough (0.4 m) to neglect end effects. Also, assume a steady, incompressible, and laminar flow. The density and viscosity of glycerin are ρ = 1 and μ 1.50 N , s/m2. Simplified governing equations are sufficient. a) Derive the velocity distribution profile that gives 7. p 1260 kg/m3 1 (ap b) Determine the pressure...