A fluid shown in (Figure 2) flows through the narrow region AB between two smooth plates...
(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...
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...
Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in figure 2. Assume that pressure increases 30°. Acceleration due t o Pa and the channel height is h 10 cm inclined at te the velocity profile of the flow. State your assumptions and show your work. onal Newtonian, steady state, incompressible flow of a fluid be- by 1 kPa/ a dynamic viscosity of H1-1 x 10 amic viscosity of uo wall towards the right....
A Newtonian body wash undergoes steady shear between two horizontal parallel plates. The lower plate is fixed, and the upper plate of 1kg moves with constant velocity of 20 m/s. The distance between the plates is constant at 5 mm. The area of the upper plate in contact with the fluid is 0.5 m2 . a) What is the viscosity of the product and b) the momentum diffusivity if its density is 1010 kg/m3?
Problem 2. An incompressible, Newtonian fluid flows downwards between two vertical parallel plates that are a distance 2h away from each other. The flow is fully developed (i.e. steady) and the entirety of the velocity is the in vertical direction and due to gravity. Assuming there is no pressure gradient, solve for this velocity, w, as a function of 2. (3 points) Figure 1: Flow between two vertical parallel plates due to gravity.
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...
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...
As shown in the figure, an electron is fired with a speed of 3.59 × 106 m/s through a hole in one of the two parallel plates and into the region between the plates separated by a distance of 0.24 m. There is a magnetic field in the region between the plates and, as shown, it is directed into the plane of the page (perpendicular to the velocity of the electron). Determine the magnitude of the magnetic field so that...
Question 2 (a) An incompressible fluid of density ρ and viscosity μ flows through a curved duct that turns the flow through angle θ. (ii) (iii) (i) Write an expression for the horizontal force F of the fluid on the walls of the duct in 4 marks) terms of the given variables (ignore the gravity); Calculate the force Fx, when: θ = 135°, ρ = 9982 kg/m , μ=1.003x10-3 kg/m.s., Al = 0.025 m2, A2-0.05 m, Vi-6 m/s, Plaage-78.47 kPa,...
2. In the figure, if the fluid is glycerin at 20 °C and the width between plates is 6 mm, what shear stress (in Pa) is required to move the upper plate at V = 5.5 m/s? The lower plate is fixed. Moving plate glycerin