Equal-stressed reinforcement of metal-composite plates with fibers of constant cross section in steady-state creep

2008 ◽  
Vol 44 (1) ◽  
pp. 9-24 ◽  
Author(s):  
Yu. V. Nemirovskii ◽  
A. P. Yankovskii
Keyword(s):  
Steady State ◽  
Cross Section ◽  
Composite Plates ◽  
Steady State Creep ◽  
Metal Composite ◽  
Constant Cross Section

The Polytropic Approach in Modelling Compressible Flows Through Constant Cross-Section Pipes

2021 ◽  
Author(s):  
Alessandro Ferrari ◽  
Oscar Vento ◽  
Tantan Zhang
Keyword(s):  
Steady State ◽  
Cross Section ◽  
Compressible Flows ◽  
Analytical Formula ◽  
Local Maximum ◽  
Wall Friction ◽  
Numerical Code ◽  
Maximum Temperature ◽  
Constant Cross Section ◽  
Polytropic Exponent

Abstract A compressible flow with wall friction has been predicted in a constant cross-section duct by means of a barotropic modelling approach, and new analytical formulas have been proposed that also allow any possible heat transfer to the walls to be taken into account. A comparison between the distributions of the steady-state flow properties, pertaining to the new formulas, and to those of a classic Fanno analysis has been performed. In order to better understand the limits of the polytropic approach in nearly chocked flow applications, a numerical code, which adopts a variable polytropic coefficient along the duct, has been developed. The steady-state numerical distributions along the pipe, obtained for either a viscous adiabatic or an inviscid diabatic flow by means of this approach, coincide with those of the Fanno and Rayleigh models for Mach numbers up to 1. A constant polytropic exponent can be adopted for a Fanno flow that is far from choking conditions, while it cannot be adopted for the simulation of a Rayleigh flow, even when the flow is not close to choking conditions. Finally, under the assumption of diabatic flows with wall friction, the polytropic approach, with a constant polytropic exponent, is shown to be able to accurately approximate cases in which no local maximum is present for the temperature along the duct. The Mach number value at the location where the local maximum temperature possibly occurs has been obtained by means of a new analytical formula.

scholarly journals Steady-state flow of a shear-thinning liquid in an unbounded pipeline system

Analysis ◽  
2015 ◽  
Vol 35 (4) ◽  
Author(s):  
Giovanni P. Galdi ◽  
Carlo R. Grisanti
Keyword(s):  
Steady State ◽  
Cross Section ◽  
Existence And Uniqueness ◽  
Shear Thinning ◽  
Pipeline System ◽  
Constant Cross Section ◽  
Steady State Flow ◽  
Compactness Property ◽  
Newtonian Liquids ◽  
Steady State Solutions

AbstractWe show existence and uniqueness of steady-state solutions to the equations of generalized Newtonian liquids of shear-thinning type in an unbounded region that includes semi-infinite cylinders of constant cross-section (pipeline system). This result is established under the assumption that the datum (flow-rate) is sufficiently small. The main feature of our approach is the proof of a “global compactness” property of the sequence of approximating solutions.

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