Explanation Given: The initial pressure of the air ( P 1 ) is 60 psia. The initial temperature of the air ( T 1 ) is 540 ° F . The final pressure of the air ( P 2 ) is 12 psia . The inlet velocity of the air ( V 1 ) is 200 ft/s . Calculation: Refer Table A-17E, “Ideal-gas properties of air”, obtain the below properties at the saturated pressure of 1000 R . h 1 = 240.98 Btu / lbm P r 1 = 12.30 Calculate the final relative pressure ( P r 2 ) . P r 2 = P r 1 ( P 2 P 1 ) P r 2 = ( 12 psia 60 psia ) ( 12.30 ) = 2.46 Refer Table A-17E, “Ideal-gas properties of air”, obtain the value of exit temperature ( T 2 ) and the enthalpy ( h 2 ) at relative pressure of 2.46 by using interpolation method. Show the enthalpy and temperature values from the Table A-13 as in below table. Relative pressure ( P r ) Enthalpy ( h ) ,in Btu / lbm Temperature ( R ) , in kJ/kg 2.249 148.28 620 2.46 ? ? 2.514 153.09 640 Write the formula of interpolation method of two variables. y 2 = ( x 2 − x 1 ) ( y 3 − y 1 ) ( x 3 − x 1 ) + y 1 Substitute x 1 = 2.249 , x 2 = 2.46 , x 3 = 2.514 , y 1 = 148.28 Btu / lbm , and y 3 = 153.09 Btu / lbm in the above Equation. y 2 = ( 2

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ISBN: 9780078027680

Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala

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Chapter 8, Problem 91P

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The exit velocity of the air

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Chapter 8, Problem 90P

Chapter 8, Problem 92P

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Fundamentals of Thermal-Fluid Sciences

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