[2] A cheap radial-vaned centrifugal fan is required to provide a supply of pressurised air to a furnace. The specification requires that the fan produce a total pressure rise equivalent to 8 cm of water at a volume flow rate of 0.3 m/s. The fan impeller is fabricated from 30 thin sheet metal vanes, the ratio of the passage width to circumferential pitch at impeller exit being specified as 0.5 and the ratio of the radial velocity to blade tip speed as 0.1. Assuming that the overall isentropic efficiency of the fan is 0.8 and that the slip can be estimated from Stanitz's expression, eqn. (7.18a), determine (i) the vane tip speed; (ii) the rotational speed and diameter of the impeller; (iii) the power required to drive the fan if the mechanical efficiency is 0.94; (iv) the specific speed.
[2] A cheap radial-vaned centrifugal fan is required to provide a supply of pressurised air to a furnace. The specification requires that the fan produce a total pressure rise equivalent to 8 cm of water at a volume flow rate of 0.3 m/s. The fan impeller is fabricated from 30 thin sheet metal vanes, the ratio of the passage width to circumferential pitch at impeller exit being specified as 0.5 and the ratio of the radial velocity to blade tip speed as 0.1. Assuming that the overall isentropic efficiency of the fan is 0.8 and that the slip can be estimated from Stanitz's expression, eqn. (7.18a), determine (i) the vane tip speed; (ii) the rotational speed and diameter of the impeller; (iii) the power required to drive the fan if the mechanical efficiency is 0.94; (iv) the specific speed.
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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Question Number 2
![[2] A cheap radial-vaned centrifugal fan is required to provide a supply of pressurised
air to a furnace. The specification requires that the fan produce a total pressure rise
equivalent to 8 cm of water at a volume flow rate of 0.3 m³/s. The fan impeller is
fabricated from 30 thin sheet metal vanes, the ratio of the passage width to
circumferential pitch at impeller exit being specified as 0.5 and the ratio of the radial
velocity to blade tip speed as 0.1. Assuming that the overall isentropic efficiency of the
fan is 0.8 and that the slip can be estimated from Stanitz's expression, eqn. (7.18a),
determine (i) the vane tip speed; (ii) the rotational speed and diameter of the impeller;
(iii) the power required to drive the fan if the mechanical efficiency is 0.94; (iv) the
specific speed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9f8d680-ff35-4049-867a-1284e61d67ed%2F15191c83-df45-47ed-8d66-a1c93ee6dbf2%2Fpkwv2ir_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[2] A cheap radial-vaned centrifugal fan is required to provide a supply of pressurised
air to a furnace. The specification requires that the fan produce a total pressure rise
equivalent to 8 cm of water at a volume flow rate of 0.3 m³/s. The fan impeller is
fabricated from 30 thin sheet metal vanes, the ratio of the passage width to
circumferential pitch at impeller exit being specified as 0.5 and the ratio of the radial
velocity to blade tip speed as 0.1. Assuming that the overall isentropic efficiency of the
fan is 0.8 and that the slip can be estimated from Stanitz's expression, eqn. (7.18a),
determine (i) the vane tip speed; (ii) the rotational speed and diameter of the impeller;
(iii) the power required to drive the fan if the mechanical efficiency is 0.94; (iv) the
specific speed.
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