Problem 4. In class we introduced the concept of a Newtonian fluid. A Newtonian Fluid is...
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Problem 4. In class we introduced the concept of a Newtonian
fluid. A Newtonian Fluid is...
thanks in advance. Newton's equation relates shear stress and velocity gradient by means of a quantity...
thanks in advance.
Newton's equation relates shear stress and velocity gradient by means of a quantity called viscosity. A Newtonian fluid is one in which the viscosity is just a number. A non-Newtonian fluid is one in which the viscosity is a function of some mechanical variable like shear stress or time. Non-newtonian fluids that change over time are said to have a memory. Give examples of the effects that temperature, shear stress and forces would have on the above...
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.
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...
1. Blood has a variable viscosity at 37 °C that depends on the percent composition of...
1. Blood has a variable viscosity at 37 °C that depends on the percent composition of hematocrit and plasma. A small sample of blood is tested in a viscometer and the following results are obtained: (Shear stress (Pa), Shear rate (s^-1)) (0.0235, 2.25) (0.0396, 4.5) (0.0787, 11.25) (0.1324, 22.5) (0.2227, 45) (0.3746, 90) (0.7447, 225) (1.2524, 450) (a) Determine the viscosity of the blood sample using the power law equation for non-Newtonian fluids. (b) Indicate from the value of the...
2. A. Newtonian flow follows the relationship t = 77. What is non-Newtonian flow behavior? (4...
2. A. Newtonian flow follows the relationship t = 77. What is non-Newtonian flow behavior? (4 pts) B. Make a plot of shear stress versus shear rate to illustrate the difference between shear thinning and a Newtonian fluid. (5 pts) C. What quantity is measured for determining the melt flow index? How does this relate to the melt viscosity of a polymer? (4 pts) D. Sketch the geometry of a cone and plate viscometer and describe how it works. What...
Fluid motion induced by surface tension variation is called the Marangoni effect. Fluid motion induced by...
Fluid motion induced by surface tension variation is called the
Marangoni effect.
Fluid motion induced by surface tension variation is called the Marangoni effect Consider a liquid layer of thickness h on a solid flat plate. The liquid is exposed to ambient air but the surface tension σ is not constant. It varies longitudinally (in the x direction) due to a temperature gradient, which induces the liquid to move along the interface I. Write the governing equations for the liquid...
organisms. If we have a sphere moving in a fluid of density ρ and viscosity μ,...
organisms. If we have a sphere moving in a fluid of density ρ and viscosity μ, and the sphere has a radius R and speed r and drag coefficient Co, then the drag and viscous forces are given by these equations: 2. in this problem, we'll estimate which resistive force- viscous force or drag force-dominates for two different The Reynolds number is given by Re ()Rv. For air and water, we can use the densities and viscosities in the table...
hi i am in a fluid dynamics class and need some help with the question attached....
hi i am in a fluid dynamics class and need some help with the
question attached. please be specific and write out all steps so i
know how to do the problem.
A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
Ignore the pencil writing because its most likley wrong NAME: Exam 4 Engr225 Problem 1 (S0...
Ignore the pencil writing because its most likley wrong
NAME: Exam 4 Engr225 Problem 1 (S0 pts) Explain your work y The figure shows the cross-section of a beam. The beam is subjected to various forces and moments that cause internal loadings at the cross-section shown. Soo E Omm FEeo The figure shows the cross-section of interest and three differential elements D, E, and F. D is at the bottom and centered on the y-axis. E and F are on...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4 by allow- ing the wall at x B to move in the positive z direction at a steady speed 0 Obtain (a) the shear-stress distribution, and (b) the velocity distribution. 12 Lipuli on Draw carefully labeled sketches of these functions. Answers: (a) „(v) = (*7*2)=- (b) v.Cx) = (*72)P" [1-(0))+ (1+ }) - )B2 ( (b) v(x) = — 1 ... thin it may...
thanks in advance.
Newton's equation relates shear stress and velocity gradient by means of a quantity called viscosity. A Newtonian fluid is one in which the viscosity is just a number. A non-Newtonian fluid is one in which the viscosity is a function of some mechanical variable like shear stress or time. Non-newtonian fluids that change over time are said to have a memory. Give examples of the effects that temperature, shear stress and forces would have on the above...
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.
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...
2. A. Newtonian flow follows the relationship t = 77. What is non-Newtonian flow behavior? (4 pts) B. Make a plot of shear stress versus shear rate to illustrate the difference between shear thinning and a Newtonian fluid. (5 pts) C. What quantity is measured for determining the melt flow index? How does this relate to the melt viscosity of a polymer? (4 pts) D. Sketch the geometry of a cone and plate viscometer and describe how it works. What...
Fluid motion induced by surface tension variation is called the
Marangoni effect.
Fluid motion induced by surface tension variation is called the Marangoni effect Consider a liquid layer of thickness h on a solid flat plate. The liquid is exposed to ambient air but the surface tension σ is not constant. It varies longitudinally (in the x direction) due to a temperature gradient, which induces the liquid to move along the interface I. Write the governing equations for the liquid...
organisms. If we have a sphere moving in a fluid of density ρ and viscosity μ, and the sphere has a radius R and speed r and drag coefficient Co, then the drag and viscous forces are given by these equations: 2. in this problem, we'll estimate which resistive force- viscous force or drag force-dominates for two different The Reynolds number is given by Re ()Rv. For air and water, we can use the densities and viscosities in the table...
hi i am in a fluid dynamics class and need some help with the
question attached. please be specific and write out all steps so i
know how to do the problem.
A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
Ignore the pencil writing because its most likley wrong
NAME: Exam 4 Engr225 Problem 1 (S0 pts) Explain your work y The figure shows the cross-section of a beam. The beam is subjected to various forces and moments that cause internal loadings at the cross-section shown. Soo E Omm FEeo The figure shows the cross-section of interest and three differential elements D, E, and F. D is at the bottom and centered on the y-axis. E and F are on...
3 PL 23.5 Laminar slit flow with a moving wall ("plane Couette flow"). Extend Problem 23.4 by allow- ing the wall at x B to move in the positive z direction at a steady speed 0 Obtain (a) the shear-stress distribution, and (b) the velocity distribution. 12 Lipuli on Draw carefully labeled sketches of these functions. Answers: (a) „(v) = (*7*2)=- (b) v.Cx) = (*72)P" [1-(0))+ (1+ }) - )B2 ( (b) v(x) = — 1 ... thin it may...
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