Compressible pipe flow

Author(s):  
Marcel Escudier

In this chapter gas flow through pipes is analysed, taking account of compressibility and either friction or heat exchange with the fluid. It is shown that in all cases the key parameter is the Mach number. The analyses are based upon the conservation laws for mass, momentum, and energy, together with an equation of state. So that significant results can be achieved, the flowing fluid is treated as a perfect gas, and the flow as one dimensional. Adiabatic pipe flow with wall friction is termed Fanno flow. Frictionless pipe flow with heat transfer is termed Rayleigh flow. It is found that both flows, and also isothermal pipe flow with wall friction, can be limited by choking.

Author(s):  
Marcel Escudier

Compressible-gas flow through convergent and convergent-divergent nozzles is analysed in this chapter based upon the conservation laws for mass, momentum, and energy, together with considerations of thermodynamics. It is shown that in both cases the key parameter in describing the flow is the Mach number, which is used to distinguish between subsonic and supersonic flow. So that significant results can be achieved, the flowing fluid is treated as a perfect gas, and the flow as one dimensional. Flow through a convergent nozzle and the choking limitation is discussed. Flow through a normal shockwave, which is an important feature of supersonic flow, is also analysed. No account is taken of surface friction or heat transfer, and the flow upstream and downstream of a shockwave is treated as isentropic. In addition, the conditions are discussed under which a shockwave arises in compressible flow through a convergent-divergent nozzle.


1947 ◽  
Vol 14 (4) ◽  
pp. A317-A336 ◽  
Author(s):  
Ascher H. Shapiro ◽  
W. R. Hawthorne

Abstract Recent developments in the fields of propulsion, flow machinery, and high-speed flight have emphasized the need for an improved understanding of the characteristics of compressible flow. A one-dimensional analysis for flow without shocks is presented which takes into account the simultaneous effects of area change, wall friction, drag of internal bodies, external heat exchange, chemical reaction, change of phase, injection of gases, and changes in molecular weight and specific heat. The method of selecting independent and dependent variables, and the organization of the working equations, leads, it is believed, to a better understanding of the influence of the foregoing effects, and also simplifies greatly the analytical treatment of particular problems. Examples are given first of several simple types of flow, including (a) area change only; (b) heat transfer only; (c) wall friction only; and (d) gas injection only. In addition, examples of flow with combined effects are given, including (a) simultaneous friction and area change; (b) simultaneous friction and heat transfer; and (c) simultaneous liquid injection and evaporation. A one-dimensional analysis for flow through a discontinuity is presented, allowing for energy, shock, drag, and gas-injection effects, and for changes in gas properties. This analysis is applicable to such processes as: (a) the adiabatic normal shock; (b) combustion; (c) moisture condensation shocks; and (d) steady explosion waves.


1970 ◽  
Vol 92 (4) ◽  
pp. 641-650 ◽  
Author(s):  
D. M. McEligot ◽  
S. B. Smith ◽  
C. A. Bankston

Available literature on wall friction and heat transfer for gas flow strongly heated in the downstream region of tubes shows disagreement between analysis and experiments. Possible explanations are examined quantitatively, then the governing equations are treated in more complete form than in previous analyses. Results compare favorably with existing experiments for nonreacting, high-Reynolds-number, turbulent flow of a gas with negligible natural convection and with a constant wall heat flux imposed.


1947 ◽  
Vol 14 (4) ◽  
pp. A344-A351
Author(s):  
G. M. Edelman ◽  
Ascher H. Shapiro

Abstract Elsewhere in this issue are presented analytical procedures for handling complicated problems involving the simultaneous effects of area change, wall friction, drag of internal bodies, external heat exchange, chemical reactions, change of phase, mixing of injected gases, and changes in molecular weight and specific heat. Tables of functions are given herewith to facilitate the numerical solution of such problems for regions of flow where the stream properties change continuously.


1999 ◽  
Vol 72 (1) ◽  
pp. 7-10
Author(s):  
D. S. Pashkevich ◽  
V. N. Krasnokutskii ◽  
V. B. Petrov ◽  
V. L. Korolev

Author(s):  
Huei Chu Weng

The presence of current flow in an electric and magnetic field results in electromagnetic force and joule heating. It is desirable to understand the roles of electromagnetic force and joule heating on gas microflow and heat transfer. In this study, a mathematical model is developed of the pressure-driven gas flow through a long isothermally heated horizontal planar microchannel in the presence of an external electric and magnetic field. The solutions for flow and thermal field and characteristics are derived analytically and presented in terms of dimensionless parameters. It is found that an electromagnetic driving force can be produced by a combined non-zero electric field and a negative magnetic field and results in an additional velocity slip and an additional flow drag. Also, a joule heating can be enhanced by an applied positive magnetic field and therefore results in an additional temperature jump and an additional heat transfer.


2019 ◽  
Vol 128 ◽  
pp. 01008
Author(s):  
Wojciech Judt ◽  
Bartosz Ciupek ◽  
Rafał Urbaniak

An analysis of a heat transfer process during exhaust gas flow through two boiler draughts connected in the reversing chamber is presented. The article shows the main differences in the exhaustgas flowthrough the boiler construction when heating boiler works with different levels of heating power.The aim of the proposed research is defining a character of a flow and a heat transfer process depending onthe horizontal and vertical position of boiler draughts.


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