ENGG 2230 Chapter : FluidMechWhite5eCh04.pdf
9 Apr 2013
School
Department
Course
Professor
Document Summary
4. 1 an idealized velocity field is given by the formula. At the point (x, y, z) = ( 1, +1, 0), compute (a) the acceleration vector and (b) any unit vector normal to the acceleration. 0 4tx(4z) 2t y(0) 4xz(4x) 16txz 16x z. 2 at (x, y, z) = ( 1, +1, 0), we obtain ( 4ty 4t y) Ans. (c) (d) at ( 1, +1, 0) there are many unit vectors normal to dv/dt. 4. 2 flow through the converging nozzle in fig. P4. 2 can be approximated by the one-dimensional velocity distribution u v o. 0 (a) find a general expression for the fluid acceleration in the nozzle. (b) for the specific case vo = 10 ft/s and l = 6 in, compute the acceleration, in g"s, at the entrance and at the exit. Solution: here we have only the single one-dimensional" convective acceleration: u du dt u x. 400(1 4 ), x with x in feet.
