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Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow...
Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow gap of height h, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the z direction. Find the x-component of velocity, assuming uniform flow at every x location. Find the y-component of velocity. Find an expression for the pressure variation, assuming that the pressure at the outer edge of the gap is Parm (hint: we can...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B Please solve these for me thanks ! :)...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B
Please solve these for me thanks ! :)
1. Supplementary Problem 12 2. A fluid jet issues from a long vertical slot and strikes against a vertical flat plate at an angle. The resulting two-dimensional steady flow in a horizontal plane is shown below. The plate is frictionless (a) If the volume flow rate of a vertical section of the jet before it strikes the plate is Q A, where A, is...
please show all work, and state your assumptions please don't forget this part thanks. 1. Consider...
please
show
all work, and state your assumptions please don't forget this part
thanks.
1. Consider steady flow of an ideal inviscid fluid with the curved streamlines. 4, = 15 42 = 20 (a). Find the volume flow rate per unit width (out of the plane of the paper) between the two streamlines. (4 points) # (b). Will the pressures of the two streamlines be the same? If not, which one has higher pressure? (4 points)
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below....
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
Fluid mechanics Please show all work. The answer is dp/dx = -2 p0 x y^2 5)...
Fluid mechanics
Please show all work.
The answer is dp/dx = -2 p0 x y^2
5) An incompressible steady-flow of a Newtonian fluid is given by: Let the density be a constant ρ and neglect gravity. Obtain an expression for the pressure gradient in the x-direction
please show all work, and state your assumptions. please don't forget this part thanks 2. Consider...
please show
all work, and state your assumptions. please don't forget this part
thanks
2. Consider the flow with the velocity field ū = (4x+2y)i + (2x-4y)ĵ. (a). Is this flow 1-, 2-, 3-dimensional? (2 points) (b). Is this flow steady or unsteady? Why? (2 points) (c). Is this flow compressible or incompressible? Why? (2 points) (d). Is this flow rotational or irrotational? Why? (2 points) (e). Find the equation for a streamline passing through the point (Xo, yo). (4...
could you please help me with answering all parts of this question. like and comment are...
could you please help me with answering all parts of this question.
like and comment are rewarded.
[7] A3. (a) Draw the streamlines and vortex lines of a Rankine vortex. Indicate which field lines are streamlines and which field lines are vortex lines, and label the vortex core. Explain which region of the flow has zero vorticity, and which region of the flow has non-zero vorticity. (b) A fluid with constant density po, pressure p, and velocity v, satisfies the...
Please answer without using previously posted answers. Thanks Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a g...
Please answer without using previously posted answers.
Thanks
Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a gradient field, and φ s called a potential function. Ideal Fluid Flow Let F represent the two-dimensional velocity field of an inviscid fluid that is incompressible, ie. . F-0 (or divergence-free). F can be represented by (1), where ф is called the velocity potential-show that o is harmonic....
please list assumptions, show work, and explain your reasoning carefully! please don't forget all this thanks...
please list assumptions, show work, and
explain your reasoning carefully! please don't forget all this
thanks
4. The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a 10X scale model. The lift force F is believed to be a function of wing size L, flight speed u, flapping frequency w, fluid density P, and fluid viscosity u. Assume that air has a density 1/1000th and a dynamic viscosity 1/100th that of water. (a). List...
Fluid Mechanics. Please answer as many as you can. Short answer questions 1) Explain the physical...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow gap of height h, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the z direction. Find the x-component of velocity, assuming uniform flow at every x location. Find the y-component of velocity. Find an expression for the pressure variation, assuming that the pressure at the outer edge of the gap is Parm (hint: we can...
MIT Marine Hydrodynamics Spring 2005 Problem Set 5B
Please solve these for me thanks ! :)
1. Supplementary Problem 12 2. A fluid jet issues from a long vertical slot and strikes against a vertical flat plate at an angle. The resulting two-dimensional steady flow in a horizontal plane is shown below. The plate is frictionless (a) If the volume flow rate of a vertical section of the jet before it strikes the plate is Q A, where A, is...
please
show
all work, and state your assumptions please don't forget this part
thanks.
1. Consider steady flow of an ideal inviscid fluid with the curved streamlines. 4, = 15 42 = 20 (a). Find the volume flow rate per unit width (out of the plane of the paper) between the two streamlines. (4 points) # (b). Will the pressures of the two streamlines be the same? If not, which one has higher pressure? (4 points)
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
Fluid mechanics
Please show all work.
The answer is dp/dx = -2 p0 x y^2
5) An incompressible steady-flow of a Newtonian fluid is given by: Let the density be a constant ρ and neglect gravity. Obtain an expression for the pressure gradient in the x-direction
please show
all work, and state your assumptions. please don't forget this part
thanks
2. Consider the flow with the velocity field ū = (4x+2y)i + (2x-4y)ĵ. (a). Is this flow 1-, 2-, 3-dimensional? (2 points) (b). Is this flow steady or unsteady? Why? (2 points) (c). Is this flow compressible or incompressible? Why? (2 points) (d). Is this flow rotational or irrotational? Why? (2 points) (e). Find the equation for a streamline passing through the point (Xo, yo). (4...
could you please help me with answering all parts of this question.
like and comment are rewarded.
[7] A3. (a) Draw the streamlines and vortex lines of a Rankine vortex. Indicate which field lines are streamlines and which field lines are vortex lines, and label the vortex core. Explain which region of the flow has zero vorticity, and which region of the flow has non-zero vorticity. (b) A fluid with constant density po, pressure p, and velocity v, satisfies the...
Please answer without using previously posted answers.
Thanks
Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a gradient field, and φ s called a potential function. Ideal Fluid Flow Let F represent the two-dimensional velocity field of an inviscid fluid that is incompressible, ie. . F-0 (or divergence-free). F can be represented by (1), where ф is called the velocity potential-show that o is harmonic....
please list assumptions, show work, and
explain your reasoning carefully! please don't forget all this
thanks
4. The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a 10X scale model. The lift force F is believed to be a function of wing size L, flight speed u, flapping frequency w, fluid density P, and fluid viscosity u. Assume that air has a density 1/1000th and a dynamic viscosity 1/100th that of water. (a). List...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
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