please solve in detail 2.28 Consider the velocity field of Problem 2.20. Plot the streakline formed...
ANSWER LAST QUESTION: PLOT THE STEAMLINES. By applying a magnetic field, the velocity field o a plasm in a bioreactor Teads ชื่ cos (y) il + i (arbitrary units) where a is a constant that depends on the applied magnetic field and if and üf are unitary vector in the direction of the ares x and y respectively. What is the general expression for the streamlines?, In the same gruph, plot the streamlines that pass through the (s, p) points...
Question 4 (Streamlines) The velocity field in a flow is given by V = x+yi + xtj. a) Choose the numbers of the streamline through the origin at times t = 0, t = 1 and t = 2 shown below. 10. 27/ 0 2 4 6 8 10 12 14 16 . At time t = 0 At time t = 1 At time t = 2 A b) Do the streamlines plotted in part (a) coincide with the...
A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where a and b are pure constants. The objective of this problem is to compare and contrast the streamlines in this flow with the pathlines of the fluid particles a) Find the equations governing the streamline that passes through the point (1.1) at time b) Calculate the path of a particle that startsar (0Vo)-(1.1) at 0. Determine the location of a particle at t-1, denoted...
Consider the flow field represented by the velocity potential φ = Ax+Bx2−By2, where A = 1 m/s, B = 1 s−1, and the coordinates are measured in meters. Obtain expressions forthe velocity field and the stream function. Using water as the working fluid, calculate the pressure difference between the origin and the point (x,y) = (1,2). What is the volume flow rate (per unit depth) between streamlines passing through these two points?
Please include work. I'd like to know how to solve them. 1.) Consider a charged particle moving through a region in which the electric field is perpendicular to the magnetic field, with both fields perpendicular to the initial velocity of the particle (see figure below). Such a device is called a velocity selector because for one particular value of the particle speed vselect the particle will travel straight through the device without being deflected, whereas particles with speeds that are...
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot the curve with t going over the interval [-2, 2]. b) Plot the curve again over the same interval, but this time add the velocity vector in blue at (1, 0, 0) to the graph. c) Plot the curve again over the same interval, along with the blue velocity vector at (1, 0, 0), but this time add the acceleration vector in red at...
please explain this in detail step by step for better understanding. Thank you! Math 2510 Take Home 1 4. Collisions. Consider two particles following the two planar paths r()= (sin (2r), cos (t) r,(f)(sin (t),cos (21) Notice, r(0) =(0,1)=r, (t) so the particles start at the same point. a) At how many points in the plane do their paths cross? Make a rough sketch showing the intersections. tl lon b) Find the first positive time of a collision. c) Use...
This is PDE problem. Please show all steps in detail with neat handwriting. Problem . Consider the function a) Find the full Fourier Series of F(x) a(0, y, t) = u(a, y, t) 0 u(z, 0, t ) = u(z, b, l) = 0 u(z,y,0) = f(z,y), u(x, y,0)-g(x,y), 0<y< b,t0 a) b) Solve the initial-boundary value problem for 2D wave equation. What is the physical interpretation of these boundary conditions
Please show all steps in detail and as legible as possible. Thank you!!! Consider the two dimensional diffusion of heat in a rectangular section of tissue. Specifically solve for the temperature field, u(x,y,t), in the rectangular section with dimensions having (0<x < a) and (0<y < b), which is governed by the following initial-value, boundary-value problem, where a is a constant: (0,y,t) = 0 uy (x,0,t) = 0 14. (a,y,t) = 0 u(x,b,t)-0 11 (x, y,0) = f(x, y) Consider...
General Instructions: All of these problems rely on mathematical equations to describe velocity and acceleration fields. However, you should take some time looking at the equations for V to determine how velocity depends on x and y in each flowfield. For example, think about how u and v vary as x and y increase or decrease, or change from positive to negative. This ability to "vize"the flowfield will be very useful. Problem 1 your work and provide clear hand-written sample...