3.20) The first stage of an axial compressor is designed on free vortex principles, with no inlet guidevanes. The rotational speed is 6000 rev/min and the stagnation temperature rise is 20 K. Thehub-tip ratio is 0.60, the work-done factor is 0.93 and the isentropic efficiency of the stage is0.89. Assuming an inlet velocity of 140 m/s, the Mach number relative to the tip is limited to0.95 and ambient conditions of 1.01 bar and 288 K, calculate:(a) the tip radius and corresponding rotor air angles B1 and B2. [0.456 m, 63.95° and 56.40°](b) the mass flow entering the stage.[65.5 kg/s](c) the stage stagnation pressure ratio and power required.[1.233, 1317 kW](d) the rotor air angles at the root section.[50.83° and 18.32°]

Answered: Image /qna-images/answer/9d5cd20b-8a39-491a-8659-47021bacd013.jpg

(a) the tip radius and corresponding rotor air angles B1 and B2. (b) the mass flow entering the stage. (c) the stage stagnation pressure ratio and power required. (d) the rotor air angles at the root section.

(a) the tip radius and corresponding rotor air angles B1 and B2. (b) the mass flow entering the stage. (c) the stage stagnation pressure ratio and power required. (d) the rotor air angles at the root section.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The measure of the resistance of a fluid to flow is known as viscosity. Most fluids have some resistance to motion, the resistance provided by the fluid is called viscosity. This resistance is created by the force of attraction between the fluid molecules. If you pour water through a funnel, it flows easily and quickly, because it has very little resistance. But if you pour honey through a funnel, it may take a little time longer, as the density of honey is high.

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Drag Forces

Forces that occur due to the movement of fluid are known as fluid mechanics. Following are the fluids present:

Question

3.20) The first stage of an axial compressor is designed on free vortex principles, with no inlet guide
vanes. The rotational speed is 6000 rev/min and the stagnation temperature rise is 20 K. The
hub-tip ratio is 0.60, the work-done factor is 0.93 and the isentropic efficiency of the stage is
0.89. Assuming an inlet velocity of 140 m/s, the Mach number relative to the tip is limited to
0.95 and ambient conditions of 1.01 bar and 288 K, calculate:
(a) the tip radius and corresponding rotor air angles B1 and B2. [0.456 m, 63.95° and 56.40°]
(b) the mass flow entering the stage.
[65.5 kg/s]
(c) the stage stagnation pressure ratio and power required.
[1.233, 1317 kW]
(d) the rotor air angles at the root section.
[50.83° and 18.32°]

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