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Question1
Adjust the solution process discussed in class for uniform slow viscous flow past a sphere to the case of flow past a circular cylinder. a. start with the 3D Navier-Stokes equations for viscous flow. Non dimensionalize system, let Re → 0 and formulate the pde problem for the stream function in polar coordinates ψ(r,θ). b. answer the pde problem using separation of variables by letting ψ(r,θ)=F(r)G(θ). Use the boundary conditions far away from the cylinder to decide a functional form for G(θ) and reduce the pde to an ode for F(r). c. answer the ode for F(r). Show that the boundary conditions far away from the cylinder cannot be fulfilled. d. Cancel the fastest growing term of F(r) and determine the velocity field. Is the answer appropriate near the cylinder? e. The failure of the solution at infinity is known as Stokes' paradox. Give a probable description for why the solution fails.
The acceleration of a particle is given by ax(t)=? 1.90m/s2 +( 2.90m/s3 )t, Find the initial velocity v0x such that the particle will have the same x-coordinate at time t= 4.04s
When responding to sound, the human eardrum vibrates about its equilibrium position. What is the maximum acceleration of the eardrum
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.70 N is applied. A 0.490-kg particle rests on a frictionless horizontal surface, What is the amplitude of the motion
An object weighs 277 N in the air. When tied to a string, connected to a balance, and immersed in water, it weighs 221 N. When it is immersed in oil, it weighs 257 N.
Let the drag force on a ball of mass m moving through air in the gravity-free bubble include both "viscous" drag F1=-kv, Find the velocity v of a ball thrown with initial speed v0.
assume a spherical planet P has a uniform density of 4.72*10^3 kg/m^3 and a radius R=3604 km. For a parcel that weighs 64 N on the surface of the (spherical) earth.
A mass-spring system oscillates with an amplitude of 4.40 cm. If the spring constant is 237 N/m and the mass is 411 g, Determine the maximum speed of the object
A spring with spring constant 11N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. What is its the mass of the ball
A 115 V electric iron draws 5.57 A of current. How much heat is developed per hour, What is the temperature of the bath
Follow that with some of her work on repressed memories. After completing your readings on the WebLink, the textbook, and the PowerPoint presentation, address the prompts for your assignment.
A plane flies from base camp to Lake A, 300 km away in the direction 36.9° south of east. After dropping off supplies it flies to Lake B, which is 260km at 30.0° west of north from Lake A. find out the distance and direction from Lake B to the bas..
Two small objects are hung, from a point, on strings 50 cm long. they each have mass .06 grams and are given equal charge, What is the magnitude of the charge on each object
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