Homework Answers
a. The boundary conditions for the above problem where only one plate is moving is
at y = 0 ; v = 10m/s
at y = 5 ; v = 0
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A semi-infinite body of liquid, with constant density and viscosity, is bounded below by a horizontal...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
A laminar flow of constant density and constant viscosity at steady state flows thought the two...
A laminar flow of constant density and constant viscosity at steady state flows thought the two flat and parallel infinite plate. The upper plate is mowing while lower plate is stationary. The flow upper plate: moving is driven by the pressure gradient in the x direction. The velocity profile is desired to be derived for this system. Then - What are the correct answers? 20 lower plate: stationary ay c) PS, 0 200 b- Write the equation to find out...
7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo- The vertical...
7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo- The vertical velocity of the ball can be written as a function of time, vy(t) vo sin o + ayt, where the acceleration ay in the y-direction is assumed constant. a. Set the origin of the coordinate system at the initial position, and use the methods of calculus to write the vector position of the ball as a function of time, ř(t) x(t)i+ y(t)j b. Find...
An important problem in chemical engineering separation equipment involves thin liquid films flow...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, st...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
Imagine that we release a rock of mass m (which is initially at rest) at the...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
I've got parts a-c and understand them. However, I do not understand the rest of the problem and how to solve for th...
I've got parts a-c and
understand them. However, I do not understand the rest of the
problem and how to solve for the answers in parts d and e. Any
explanation would be helpful.
(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 8 N when the speed of the mass...
Please solve the problem below. I would really like to see work shown so I can understand the concepts and the things I...
Please solve the problem below. I would really like to see work
shown so I can understand the concepts and the things I am doing
incorrectly.
|(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at ti...
Mechanics. Need help with c) and d)
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
A laminar flow of constant density and constant viscosity at steady state flows thought the two flat and parallel infinite plate. The upper plate is mowing while lower plate is stationary. The flow upper plate: moving is driven by the pressure gradient in the x direction. The velocity profile is desired to be derived for this system. Then - What are the correct answers? 20 lower plate: stationary ay c) PS, 0 200 b- Write the equation to find out...
7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo- The vertical velocity of the ball can be written as a function of time, vy(t) vo sin o + ayt, where the acceleration ay in the y-direction is assumed constant. a. Set the origin of the coordinate system at the initial position, and use the methods of calculus to write the vector position of the ball as a function of time, ř(t) x(t)i+ y(t)j b. Find...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
An important problem in chemical engineering separation equipment involves thin liquid films flowing down vertical walls due to gravity, as shown in this figure yV A. Assume that the wall is long and wide compared to the film thickness, with steady flow that is laminar and fully developed: u= v=0 and w w(x). Using a force balance on a rectangular differential element, derive an expression relating g, p, and τΧΖ . Use τΧΖ-n(-_ +--) for a Newtonian fluid to convert...
Imagine that we release a rock of mass m (which is initially at rest) at the surface of a lake and measure its position and velocity as functions of time while it sinks. The rock moves under the influence of three forces: gravity, buoyancy, and viscous drag. Let y represent the vertical position of the sinking rock, with the surface of the lake at y -0, and positive y upwards The net force on the rock is F =-[m-mdisplaced where...
I've got parts a-c and
understand them. However, I do not understand the rest of the
problem and how to solve for the answers in parts d and e. Any
explanation would be helpful.
(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 8 N when the speed of the mass...
Please solve the problem below. I would really like to see work
shown so I can understand the concepts and the things I am doing
incorrectly.
|(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
Mechanics. Need help with c) and d)
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
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