Explanation Given Information: The centrifugal blower radius is 20 cm blade width is 8.2 cm, the delivering rate of blower is 1.1 m 3 / s , rotational speed is 700 rpm, impeller inlet and exit angle is 50 ° , and the density of the air is 1.25 kg / m 3 . Write the expression for the angular velocity. ω = 2 π N 60 ....... (I) Here, the rotational speed of blower is N . Write the expression for the normal velocity component at inlet. V ( 1 , n ) = Q 2 π r 1 b 1 ....... (II) Here, the discharge is Q , blade width is b 1 and the radius of the blower is r 1 . Write the expression for the normal velocity component at exit. V ( 1 , n ) = Q 2 π r 1 b 1 ....... (III) Here, the discharge is Q , blade width is b 2 and the radius of the blower is r 2 . Write the expression for the tangentional velocity at inlet. V ( 1 , t ) = V ( 1 , n ) × tan α 1 ....... (IV) Here, normal velocity component at inlet is V ( 1 , n ) and the blower angle is α 1 . Write the expression for the tangentional velocity at exit. V ( 2 , t ) = V ( 2 , n ) × tan α 2 ....... (V) Here, normal velocity component at exit is V ( 2 , n ) and the blower angle is α 2 . Write the expression for the torque on the shaft. T = ρ Q ( r 2 V ( 2 , t ) − r 1 V ( 1 , t ) ) ....... (VI) Write the expression for the power. P = T ω ....... (VII) Here, the torque on the shaft is T and rotational speed is ω . Calculation: Substitute 700 rpm for N in Equation (I). ω = 2 π ( 700 rpm ) 60 s = 73.3 rad / s Substitute 1.1 m 3 / s for Q , .2 m for r 1 and 0.082 m in Equation (II). V ( 1 , n ) = 1.1 m 3 / s 2 π ( 0.2 m ) ( 0.082 m ) = 1.1 m 3 / s 0.1030 m 2 = 10.675 m / s Substitute 1.1 m 3 / s for Q , 0

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Author: CENGEL

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

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Chapter 6, Problem 58P

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The minimum power consumption of the blower.

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Chapter 6 Solutions

FLUID MECHANICS FUND. (LL)-W/ACCESS

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