Heat exchange in laminar flow through planar and quasiplanar channels of variable cross section

1976 ◽  
Vol 31 (2) ◽  
pp. 880-886
Author(s):  
I. V. Kabanova ◽  
A. I. Kaidanov ◽  
V. P. Morozov
Keyword(s):  
Heat Exchange ◽  
Laminar Flow ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Flow Through

Magnetohydrodynamic Flow through Ducts of Variable Cross Section

1961 ◽  
Vol 4 (3) ◽  
pp. 386 ◽  
Author(s):  
Jan Rościszewski
Keyword(s):  
Cross Section ◽  
Variable Cross Section ◽  
Magnetohydrodynamic Flow ◽  
Variable Cross ◽  
Flow Through

Erratum: Magnetohydrodynamic Flow through Ducts of Variable Cross Section

1961 ◽  
Vol 4 (10) ◽  
pp. 1318
Author(s):  
J. Rościszewski
Keyword(s):  
Cross Section ◽  
Variable Cross Section ◽  
Magnetohydrodynamic Flow ◽  
Variable Cross ◽  
Flow Through

Modelling Gas-Liquid Flow through Pipes of Variable Cross-Section

2000 ◽  
pp. 239-249
Author(s):  
P. S. Hammond ◽  
A. W. Meredith ◽  
J. R. A. Pearson ◽  
J. Billingham
Keyword(s):  
Cross Section ◽  
Liquid Flow ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Flow Through ◽  
Gas Liquid Flow

Rarefied gas flow through a long rectangular channel of variable cross section

Vacuum ◽  
2014 ◽  
Vol 101 ◽  
pp. 328-332 ◽  
Author(s):  
I. Graur ◽  
M.T. Ho
Keyword(s):  
Cross Section ◽  
Gas Flow ◽  
Rarefied Gas ◽  
Rectangular Channel ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Rarefied Gas Flow ◽  
Flow Through

scholarly journals Flows of Dehaven Fluid in Symmetrically Curved Capillary Fissures and Tubes

2018 ◽  
Vol 23 (2) ◽  
pp. 521-550
Author(s):  
A. Walicka ◽  
J. Falicki ◽  
P. Jurczak
Keyword(s):  
Pressure Drop ◽  
Laminar Flow ◽  
Cross Section ◽  
Flow Rate ◽  
Volumetric Flow Rate ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Velocity Flow ◽  
Hyperbolic Cosine ◽  
Analytical Expressions

Abstract In this paper, an analytical method for deriving the relationships between the pressure drop and the volumetric flow rate in laminar flow regimes of DeHaven type fluids through symmetrically corrugated capillary fissures and tubes is presented. This method, which is general with regard to fluid and capillary shape, can also be used as a foundation for different fluids, fissures and tubes. It can also be a good base for numerical integration when analytical expressions are hard to obtain due to mathematical complexities. Five converging-diverging or diverging-converging geometrics, viz. variable cross-section, parabolic, hyperbolic, hyperbolic cosine and cosine curve, are used as examples to illustrate the application of this method. Each example is concluded with a presentation of the formulae for the velocity flow on the outer surface of a thin porous layer. Upon introduction of hindrance factors, these formulae may be presented in the most general forms.

scholarly journals Compressible flow through solar chimneys with variable cross section - an exact solution

2017 ◽  
Vol 44 (2) ◽  
pp. 215-228
Author(s):  
Vladan Djordjevic ◽  
Aleksandar Cocic
Keyword(s):  
Compressible Flow ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Mathematical Methods ◽  
Power Series Expansions ◽  
Number Flow ◽  
Flow Through ◽  
Low Mach Number Flow

Buoyancy driven, adiabatic and compressible flow in relatively high solar chimneys is treated in the paper analytically by using one-dimensional model of flow. General equations written suitably in a non-dimensional form are used for a qualitative discussion pertaining to the mutual effects of gravity, viscosity and varying cross section of the chimney. It is shown that in case of low Mach number flow these equations possess exact solutions obtainable by ordinary mathematical methods for any given chimney shape. Also shown, and demonstrated on an example, is the procedure of evaluation of the chimney shape that satisfies a condition imposed beforehand upon the flow. For better insight into the role of various parameters the solutions are presented in the form of power series expansions.

scholarly journals Effective Flow of Micropolar Fluid through a Thin or Long Pipe

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Igor Pažanin
Keyword(s):  
Cross Section ◽  
Asymptotic Approximation ◽  
Micropolar Fluid ◽  
Variable Cross Section ◽  
Asymptotic Model ◽  
Variable Cross ◽  
Straight Pipe ◽  
Micropolar Fluid Flow ◽  
Flow Through ◽  
Explicit Formulae

The aim of this paper is to present the result about asymptotic approximation of the micropolar fluid flow through a thin (or long) straight pipe with variable cross section. We assume that the flow is governed by the prescribed pressure drop between pipe's ends. Such model has relevance to some important industrial and engineering applications. The asymptotic behavior of the flow is investigated via rigorous asymptotic analysis with respect to the small parameter, being the ratio between pipe's thickness and its length. In the case of circular pipe, we obtain the explicit formulae for the approximation showing explicitly the effects of microstructure on the flow. We prove the corresponding error estimate justifying the obtained asymptotic model.

Mathematical Model Of Liquid Flow Through The Pipe Of Curcular Cross-Section

2016 ◽  
Vol 11 (4) ◽  
pp. 61-67
Author(s):  
Eduard Arinstein ◽  
Denis Tokarev
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Liquid Flow ◽  
Analytical Approach ◽  
Variable Cross Section ◽  
Cylindrical Symmetry ◽  
Variable Cross ◽  
Current Line ◽  
Flow Velocity Profile ◽  
Flow Through

This article analyses the properties of homogeneous viscous liquid flow in the pipe with variable cross-section characterized by cylindrical symmetry. The analytical approach is proposed in order to determine the flow velocity profile in the pipe’s extremium cross-sections. The conditions when dead spaces emerge in neighborhood of the maximum cross-section are identified. The particular case of problem-solving allowing prime presentation is examined for the set of current line allowing prime presentation.

Pressure Losses in Power-Law Fluid Flow through a Tube of Variable Cross-Section

2021 ◽  
Vol 56 (1) ◽  
pp. 1-9
Author(s):  
E. I. Borzenko ◽  
I. A. Ryl’tsev ◽  
G. R. Schrager
Keyword(s):  
Fluid Flow ◽  
Cross Section ◽  
Power Law ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Power Law Fluid ◽  
Pressure Losses ◽  
Flow Through

Heat exchange between three streams in pipes of variable cross section

1983 ◽  
Vol 45 (2) ◽  
pp. 937-939
Author(s):  
é. é. Shpil'rain ◽  
K. A. Yakimovich
Keyword(s):  
Heat Exchange ◽  
Cross Section ◽  
Variable Cross Section ◽  
Variable Cross
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