Air flows isentropically from a large reservoir maintained at 597°C and 1.0 MPa absolute into a converging-diverging duct. The flow at the exit plane of diverging duct is supersonic. The duct is 2 m long and has a circular cross sectional area with radius, r in m that varies in axial distance, x along the duct that is defined by r = 0.03x² +0.02 where x extends from -1.0 m to 1.0 m. (a) Sketch a 2D diagram of the above system on a graph of duct radius against axial distance with appropriate labelling. (b) Using the isentropic table provided, determine (i) the Mach number, pressure and temperature at the exit plane, and (ii) the mass flow rate through the duct. E.Q2 (c) If the radius of the duct as specified in E.Q2 is doubled, would the Mach number on the exit plane be increased, decreased or remain unchanged? Explain your answer briefly. Take heat specific ratio of 1.4 and specific gas constant of 0.287 kJ/(kg.K) for air.

Air flows isentropically from a large reservoir maintained at 597°C and 1.0 MPa absolute into a converging-diverging duct. The flow at the exit plane of diverging duct is supersonic. The duct is 2 m long and has a circular cross sectional area with radius, r in m that varies in axial distance, x along the duct that is defined by r = 0.03x² +0.02 where x extends from -1.0 m to 1.0 m. (a) Sketch a 2D diagram of the above system on a graph of duct radius against axial distance with appropriate labelling. (b) Using the isentropic table provided, determine (i) the Mach number, pressure and temperature at the exit plane, and (ii) the mass flow rate through the duct. E.Q2 (c) If the radius of the duct as specified in E.Q2 is doubled, would the Mach number on the exit plane be increased, decreased or remain unchanged? Explain your answer briefly. Take heat specific ratio of 1.4 and specific gas constant of 0.287 kJ/(kg.K) for air.

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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