tailieunhanh - Ebook Fundamentals of compressible flow with aircraft and rocket propulsion: Part 2

(BQ) Part 1 book "Fundamentals of compressible flow with aircraft and rocket propulsion" has contents: Flow in constant area ducts with heat transfer, multidimensional flow, methods of measurement, aircraft propulsion, rocket propulsion. | 308 FUNDAMENTALS OF COMPRESS Bí Ẹ b Po Y y-i Po L 3Y-1 . 0 V 3y- i 4 4 max Ơ0 Ơ 2 v y - r_ 1 111 Y R 2 1 ứ b L In Y At A7 M PÒ 4y2 Wty-1 L 3y-I Y 1 J Po Depict graphically the variation of Lrn D with Mach number varying between a very small subsonic value to a very large supersonic value. For a mean friction factor of in a duct with initially supersonic flow prove that the maximum duct length lor y- is diameters. 1 1 Flow in Constant Area Ducts with Heat Transfer A frictionless flow process in a constant area duct with heat transfer is referred to as Rayleigh flow. Flows in many thermal systems can be closely approximated to this process. For example under some conditions heat transfer processes in heat exchangers and combustion chambers can be considered by ignoring frictional effects here the changes in low parameters on account of wall friction are negligible compared to hose due to heat transfer. Therefore such processes can be represented by Rayleigh process without sacrificing much accuracy. Besides this the analysis of many complicated problems is considerably simplified by using the Rayleigh flow model. 9 1 THE RAYLEIGH LINE rhe IricttOnless flow process with heat transfer in a constant area duct esưihed by a curve known as Rayleigh line Figure this defines J 0CLIS slate points during the Rayleigh process and satisfies are U i tIOns stalc continuity and momentum. Following assumptions used in the analysis of Rayleigh process perfect gas WnXnt ĩrea duct d pe i nsional .steady frictionless flow and a absence of body forces. by briefly dealt with the Rayleigh line. It was shown 4 ion die velocity at the maximum entropy point was 310 Constant enthalpy hmiix E Cooling Max. cnưopy point i I I 1 I I c I 5 I Rayleigh Curve Entropy FIGURE A Rayleigh line Or curve The mass flow density is given by m Apc p The momentum equation for frictionless flow gives p pc - constant nG2__________ p - constant p p G2 v constant Equation .

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