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, (20 pts) The Newtonian fluid is confined between an upper plate and a bottom f...
Chap.1 1.7-1.10 Problem 1.34 6 of 12 The Newtonian fluid shown in is confined between the...
Chap.1 1.7-1.10 Problem 1.34 6 of 12 The Newtonian fluid shown in is confined between the plate and a fixed surface as shown in . Its velocity profile is defined by u = (8y-0.3y2) mm/s, where y is in mm. The plate has a surface area of 31(103) mm2 in contact with the fluid. Take μ = 0.482 N·s/m2. Suppose that h = 8 mm. Part A Determine the force P that must be applied to the plate to cause...
answer is 4.05(10^-5) N Problem 1: A Newtonian fluid is confined between the plate and a...
answer is 4.05(10^-5) N
Problem 1: A Newtonian fluid is confined between the plate and a fixed surface. If the velocity profile is defined by u =(8y-0.3y) mm/s, where y is in mm, determine the force that must be applied to the plate to cause this motion. The plate has a surface area of 15 (10) mm in contact with the fluid. Use u = 0.482 (10) N.s/m(20 points) (8y-3.3y) du -0 T = Muy 72 (0.482 +5%) (8- 0.64)...
A Newtonian body wash undergoes steady shear between two horizontal parallel plates. The lower plate is...
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?
A Newtonian fluid having a specific gravity of 0.9 and a kinematic viscosity of 0.000498 m...
A Newtonian fluid having a specific gravity of 0.9 and a kinematic viscosity of 0.000498 m 2/s flows past a fixed surface. The velocity profile near the surface is shown in the figure below. Given that the maximum velocity U is 4 m/s and the thickness of fluid is 11 cm. Determine the magnitude of the shearing stress developed on the fixed surface. Assume density of water 1000 kg/m 3 UI 5-sin(35) Fixed surface Format answer: 46.8
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L....
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L. The radii of the inner and outer surfaces are R, and respectively. The outer hollow cylinder is stationary and the inner solid cylinder is moving in the axial direction at velocity U . The axial velocity of the liquid is given as u(r)- Ro, R (In r- In Ro), where r is the radial position. In(R, / R) ener cylinder, moving u (a) Find...
Problem 3. A 2D velocity field for an incompressible Newtonian fluid is given by u 12xy-62.3,...
Problem 3. A 2D velocity field for an incompressible Newtonian fluid is given by u 12xy-62.3, u = 18x2y-4y3, where the velocity has unit m/s and x and y are in meters. (a) Determine the normal stresses ơzz and ơuy, and shear stress Try at the point x-1 m, y 1 m, where the pressure at this point is 6 kPa and dynamic viscosity is 1 Pa.s. (b) Sketch the magnitude and direction of the stress components.
14. (32 points) The following questions relate to the scenario of two plates with a fluid...
14. (32 points) The following questions relate to the scenario of two plates with a fluid in-between Moving plate h-o.05 m Fixed plate Fluid with u 56 mPa s me t - o, the top plate is stationary. What are the shear stresses through the fluld? Briefly Justify your answer in words or mathematically. b. A force is applied to the top plate and after some continuously and steadily. The steady velocity profile in the fluid can be described with...
3. Two parallel plates are 0.025 m apart (h): the lower plate is stationary and the upper plate m...
Can you make matlab solve it?
3. Two parallel plates are 0.025 m apart (h): the lower plate is stationary and the upper plate moves at a velocity (V ) of 2 ms. The shear stress (t) is estimated by where u, the viscosity in Ns/m2, is a fiunction that depends on the temperature. Laboratory measurements give: тес! 5 | 20 | 30 | 50 | 55 0.08 0.015 0.009 0.006 0.0055 Estimate the shear stress at 38°C
3. Two...
Question 5 [20 marks) Consider Coutte flow, which occurs when we have a fluid suspended between two parallel plates, on...
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...
Chap.1 1.7-1.10 Problem 1.34 6 of 12 The Newtonian fluid shown in is confined between the plate and a fixed surface as shown in . Its velocity profile is defined by u = (8y-0.3y2) mm/s, where y is in mm. The plate has a surface area of 31(103) mm2 in contact with the fluid. Take μ = 0.482 N·s/m2. Suppose that h = 8 mm. Part A Determine the force P that must be applied to the plate to cause...
answer is 4.05(10^-5) N
Problem 1: A Newtonian fluid is confined between the plate and a fixed surface. If the velocity profile is defined by u =(8y-0.3y) mm/s, where y is in mm, determine the force that must be applied to the plate to cause this motion. The plate has a surface area of 15 (10) mm in contact with the fluid. Use u = 0.482 (10) N.s/m(20 points) (8y-3.3y) du -0 T = Muy 72 (0.482 +5%) (8- 0.64)...
A Newtonian fluid having a specific gravity of 0.9 and a kinematic viscosity of 0.000498 m 2/s flows past a fixed surface. The velocity profile near the surface is shown in the figure below. Given that the maximum velocity U is 4 m/s and the thickness of fluid is 11 cm. Determine the magnitude of the shearing stress developed on the fixed surface. Assume density of water 1000 kg/m 3 UI 5-sin(35) Fixed surface Format answer: 46.8
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L. The radii of the inner and outer surfaces are R, and respectively. The outer hollow cylinder is stationary and the inner solid cylinder is moving in the axial direction at velocity U . The axial velocity of the liquid is given as u(r)- Ro, R (In r- In Ro), where r is the radial position. In(R, / R) ener cylinder, moving u (a) Find...
Problem 3. A 2D velocity field for an incompressible Newtonian fluid is given by u 12xy-62.3, u = 18x2y-4y3, where the velocity has unit m/s and x and y are in meters. (a) Determine the normal stresses ơzz and ơuy, and shear stress Try at the point x-1 m, y 1 m, where the pressure at this point is 6 kPa and dynamic viscosity is 1 Pa.s. (b) Sketch the magnitude and direction of the stress components.
14. (32 points) The following questions relate to the scenario of two plates with a fluid in-between Moving plate h-o.05 m Fixed plate Fluid with u 56 mPa s me t - o, the top plate is stationary. What are the shear stresses through the fluld? Briefly Justify your answer in words or mathematically. b. A force is applied to the top plate and after some continuously and steadily. The steady velocity profile in the fluid can be described with...
Can you make matlab solve it?
3. Two parallel plates are 0.025 m apart (h): the lower plate is stationary and the upper plate moves at a velocity (V ) of 2 ms. The shear stress (t) is estimated by where u, the viscosity in Ns/m2, is a fiunction that depends on the temperature. Laboratory measurements give: тес! 5 | 20 | 30 | 50 | 55 0.08 0.015 0.009 0.006 0.0055 Estimate the shear stress at 38°C
3. Two...
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...
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