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Question 5 [20 marks) Consider Coutte flow, which occurs when we have a fluid suspended between two parallel plates, on...
The velocity distribution for fluid flow between two parallel plates is given below: Where h is...
The velocity distribution for fluid flow between two parallel plates is given below: Where h is distance separating the two plates and the origin placed midway between the plates. Consider the flow of water at 35oC with a maximum velocity (Umax) of 0.075 m/s and h = 5mm. Calculate the force on 1.5 m2 of lower plate. [5 marks]
Consider a Couette flow between two flat plates: One plate is stationary, while the other plate...
Consider a Couette flow between two flat plates: One plate is stationary, while the other plate is moving with a velocity vo; the distance between the plates is h. Realize that the density and the viscosity of the fluid are roughly constant. You may also presume that the velocity is mostly unidirectional, solely varying in its perpendicular direction. In turn, formulate and solve the differential equation which governs the velocity profile!
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
A fluid having a viscosity u 9.35 x 104 lbf-s/ft is contained between two parallel plates,...
A fluid having a viscosity u 9.35 x 104 lbf-s/ft is contained between two parallel plates, each of which has a cross section of 200 in2. The bottom plate is fixed whereas the top plate moves at a constant velocity of 4 ft/s when a shearing force is applied. The separation distance between the plates is a uniform 0.05 in. Assume the velocity distribution in the fluid is linear. Determine the following: 4. the shear stress in the fluid (lbf/in2)...
Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance...
Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance 4h, and the top fluid layer thickness is h. The bottom layer has thickness 3h. The viscosity of the bottom fluid is three times that of the top fluid. If the lower plate moves at a constant speed of 20 m/s and the upper plate moves at a constant speed of 40 m/s, what is the average velocity within the bottom liquid layer? We...
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?
The velocity distribution for laminar flow between parallel plates is given by where h is the...
The velocity distribution for laminar flow between parallel plates is given by where h is the distance separating the plates and the origin is placed midway between the plates Consider a flow of water at 15° C, with umaz 1.65 m/s and h = 0.89 mm. Calculate the shear stress on the upper plate and give its direction. Use Table A.8 Ti N/m2 yr
Problem 3- For flow of an incompressible, Newtonian fluids between parallel plates, the velocity ...
Problem 3- For flow of an incompressible, Newtonian fluids between parallel plates, the velocity distribution between the plate is given by 1 dP 2μ dr where y is the direction from one plate (y-0) to another (y-w),and x is the direction of flow a) What is the expression for the rate of deformation matrix? b) What is the expression for the stress matrix? c) At the center of the flow y w/2, what is the direction of internal forcing due...
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...
A thin flat plate is placed in between two parallel plates (top and bottom) as shown...
A thin flat plate is placed in between two parallel plates (top and bottom) as shown in Figure Q1. The distance separating this thin flat plate with both parallel plates is h. Apart from having a stationary top plate, the thin flat plate is moving at the speed of U and the bottom plate is moving to the left at a velocity of 0.2U. The fluid in the upper flow region (above the thin flat plate) and in the lower...
Consider a Couette flow between two flat plates: One plate is stationary, while the other plate is moving with a velocity vo; the distance between the plates is h. Realize that the density and the viscosity of the fluid are roughly constant. You may also presume that the velocity is mostly unidirectional, solely varying in its perpendicular direction. In turn, formulate and solve the differential equation which governs the velocity profile!
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
A fluid having a viscosity u 9.35 x 104 lbf-s/ft is contained between two parallel plates, each of which has a cross section of 200 in2. The bottom plate is fixed whereas the top plate moves at a constant velocity of 4 ft/s when a shearing force is applied. The separation distance between the plates is a uniform 0.05 in. Assume the velocity distribution in the fluid is linear. Determine the following: 4. the shear stress in the fluid (lbf/in2)...
The velocity distribution for laminar flow between parallel plates is given by where h is the distance separating the plates and the origin is placed midway between the plates Consider a flow of water at 15° C, with umaz 1.65 m/s and h = 0.89 mm. Calculate the shear stress on the upper plate and give its direction. Use Table A.8 Ti N/m2 yr
Problem 3- For flow of an incompressible, Newtonian fluids between parallel plates, the velocity distribution between the plate is given by 1 dP 2μ dr where y is the direction from one plate (y-0) to another (y-w),and x is the direction of flow a) What is the expression for the rate of deformation matrix? b) What is the expression for the stress matrix? c) At the center of the flow y w/2, what is the direction of internal forcing due...
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...
A thin flat plate is placed in between two parallel plates (top and bottom) as shown in Figure Q1. The distance separating this thin flat plate with both parallel plates is h. Apart from having a stationary top plate, the thin flat plate is moving at the speed of U and the bottom plate is moving to the left at a velocity of 0.2U. The fluid in the upper flow region (above the thin flat plate) and in the lower...
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