Problems 2.196 and 2.197A micro spiral pump consists of a spiral channel attached to a stationary plate. Thislate bas two ports, one for fluid inlet and another for outlet, the outlet being farther fromche center of the plate than the inlet. The system is capped by a rotating disk. The fluidanned between the rotating disk and the stationary plate is put in motion by the rotationof the top disk, which pulls the fluid through the spiral channel.spin axisrotating disk-inletpin joint-outletspiral groovestationary plate-Figure P2.196 and P2.197Problem 2.197 Consider a spiral channel with the geometry given by the equationr= n0 +ro, where n = 12 um is called the polar slope, ro = 146 um is the startingradius, r is the distance from the spin axis, and 6, measured in radians, is the angularposition of a point in the spiral channel. If the top disk rotates with a constant angularspeed w = 30,000 rpm, and assuming that the fluid particles in contact with the rotatingdisk are essentially stuck to it, use the polar coordinate system shown and determine thevelocity and acceleration of one fluid particle when it is at r = 170 µm.

Answered: Image /qna-images/answer/d3a0bb06-d8fd-48f8-987c-8a4f65565126.jpg

Problem 2.197 i Consider a spiral channel with the geometry given by the equation r= +ro where 7 = radius, r is the distance from the spin axis, and 0, measured in radians, is the angular position of a point in the spiral channel. If the top disk rotates with a constant angular speed o = 30,000 rpm, and assuming that the fluid particles in contact with the rotating disk are essentially stuck to it, use the polar coordinate system shown and determine the velocity and acceleration of one fluid particle when it is at r = 170 um. 12 um is called the polar slope, ro = 146 um is the starting %3D %3D

Problem 2.197 i Consider a spiral channel with the geometry given by the equation r= +ro where 7 = radius, r is the distance from the spin axis, and 0, measured in radians, is the angular position of a point in the spiral channel. If the top disk rotates with a constant angular speed o = 30,000 rpm, and assuming that the fluid particles in contact with the rotating disk are essentially stuck to it, use the polar coordinate system shown and determine the velocity and acceleration of one fluid particle when it is at r = 170 um. 12 um is called the polar slope, ro = 146 um is the starting %3D %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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