Polygonal Approximation Method in the Hodograph Plane

1949 ◽  
Vol 16 (2) ◽  
pp. 123-133
Author(s):  
H. Poritsky
Keyword(s):  
Fluid Flow ◽  
Approximation Method ◽  
Applied Mechanics ◽  
Polygonal Approximation ◽  
Physical Plane ◽  
Flow Equations ◽  
Hodograph Plane ◽  
Superposition Of Solutions ◽  
Sixth International

Abstract This paper extends the discussion of the approximate method of integrating the equations of compressible fluid flow in the hodograph plane first presented by the author before the Sixth International Congress of Applied Mechanics, Paris, France, September, 1948. As an introduction to the discussion of the polygonal approximation method, fundamental fluid-flow equations are reviewed briefly. Determination of the flow function ψ by the “Method of Reflections” is described and an application of the method illustrated. How flow in the physical plane can be determined by superposition of solutions discussed is shown for the simpler incompressible case.

scholarly journals Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

2020 ◽  
Vol 9 (1) ◽  
pp. 338-351
Author(s):  
Usha Shankar ◽  
N. B. Naduvinamani ◽  
Hussain Basha
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Fluid Flow ◽  
Velocity Profile ◽  
Variable Thermal Conductivity ◽  
Flow Index ◽  
Williamson Fluid ◽  
Flow Equations ◽  
Velocity Parameter ◽  
Squeezed Flow

AbstractA two-dimensional mathematical model of magnetized unsteady incompressible Williamson fluid flow over a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation effect is investigated, numerically. Present flow model is developed based on the considered flow geometry. Effect of Lorentz forces on flow behaviour is described in terms of magnetic field and which is accounted in momentum equation. Influence of variable thermal conductivity on heat transfer is considered in the energy equation. Present investigated problem gives the highly complicated nonlinear, unsteady governing flow equations and which are coupled in nature. Owing to the failure of analytical/direct techniques, the considered physical problem is solved by using Runge-Kutta scheme (RK-4) via similarity transformations approach. Graphs and tables are presented to describe the physical behaviour of various control parameters on flow phenomenon. Temperature boundary layer thickens for the amplifying value of Weissenberg parameter and permeable velocity parameter. Velocity profile decreased for the increasing squeezed flow index and permeable velocity parameter. Increasing magnetic number increases the velocity profile. Magnifying squeezed flow index magnifies the magnitude of Nusselt number. Also, RK-4 efficiently solves the highly complicated nonlinear complex equations that are arising in the fluid flow problems. The present results in this article are significantly matching with the published results in the literature.

D-C Network-Analyzer Determination of Fluid-Flow Pattern in a Centrifugal Impeller

1947 ◽  
Vol 14 (2) ◽  
pp. A113-A118
Author(s):  
C. Concordia ◽  
G. K. Carter
Keyword(s):  
Fluid Flow ◽  
Flow Pattern ◽  
Arbitrary Shape ◽  
Centrifugal Impeller ◽  
Network Analyzer ◽  
Two Dimensional ◽  
Special Shape ◽  
Electrical Method ◽  
Incompressible Ideal Fluid

Abstract The objects of this paper are, first, to describe an electrical method of determining the flow pattern for the flow of an incompressible ideal fluid through a two-dimensional centrifugal impeller, and second, to present the results obtained for a particular impeller. The method can be and has been applied to impellers with blades of arbitrary shape, as distinguished from analytical methods which can be applied directly only to blades of special shape (1).

Hydrogeologic aspects of dewatering at Welland

1970 ◽  
Vol 7 (2) ◽  
pp. 194-204 ◽  
Author(s):  
R. N. Farvolden ◽  
J. P. Nunan
Keyword(s):  
Lacustrine Sediments ◽  
Contour Map ◽  
Flow Equations ◽  
Deep Well ◽  
Piezometric Surface ◽  
Excavation Work ◽  
Artesian Aquifer ◽  
Bedrock Aquifer ◽  
Private Wells

Realignment of the Welland Canal between Port Robinson and Port Colborne and the building of underpass structures necessitated both temporary and permanent depressurizing of an artesian aquifer. The aquifer is a thin zone of fractured dolomite found immediately beneath approximately 60 to 100 ft (18 to 30 m) of poorly-permeable glacial till and lacustrine sediments. Since most of the private wells in the Welland area obtain water from the bedrock aquifer, extensive well interference problems were anticipated. Problems in connection with the dewatering and depressurizing included design of deep-well pumping systems for excavation work, prediction and monitoring of drawdown effects, and the determination of responsibility for interference in specific areas since several dewatering systems with overlapping cones-of-depression would be operating simultaneously. To overcome a problem of insufficient hydrologic data prior to the commencement of dewatering, a contour map of the original piezometric surface was constructed from drillers' records. This map showed a normal groundwater flow system where the movement of groundwater was from local upland recharge areas to local discharge areas along the Welland River and the existing canal. A contour map of the drawdown was drawn on the assumption that deviations from the reconstructed original piezometric surface were caused by dewatering. Analysis of the cone-of-depression along with analyses of pre-engineering pumping tests provided values for aquifer coefficients required for solution of the unsteady flow equations. Because the coefficients used were average values for a relatively small area extrapolated over a broad area, the predicted drawdown showed considerable variation in reliability. The work did provide, however, a check on the numerical method (Frind 1970) which takes into account local variations.

scholarly journals Pore-network modeling and determination of rock and two-phase fluid flow properties

2021 ◽  
Vol 143 (3) ◽  
pp. 106-114
Author(s):  
Zh.K. Akasheva ◽  
◽  
D.A. Bolysbek ◽  
B.K. Assilbekov ◽  
A.K. Yergesh ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Network Modeling ◽  
Pore Network ◽  
Flow Properties ◽  
Two Phase ◽  
Pore Network Modeling ◽  
Phase Fluid

scholarly journals Engineering microfluidic papers: determination of fibre source and paper sheet properties and their influence on capillary-driven fluid flow

Cellulose ◽  
2016 ◽  
Vol 24 (1) ◽  
pp. 295-309 ◽  
Author(s):  
Franz Carstens ◽  
José A. F. Gamelas ◽  
Samuel Schabel
Keyword(s):  
Fluid Flow ◽  
Paper Sheet

Spin Coating Planarization Of Integrated Circuit Topography On A Rotating Disk

1991 ◽  
Vol 227 ◽  
Author(s):  
Roger K. Yonkoski ◽  
David S. Soane
Keyword(s):  
Experimental Data ◽  
Fluid Flow ◽  
Integrated Circuit ◽  
Spin Coating ◽  
Rotating Disk ◽  
Momentum Conservation ◽  
Flat Surfaces ◽  
Determination Of Parameters ◽  
Polyimide Precursor

ABSTRACTPolyimide is commonly used in the microelectronic industry for interconnection applications because of its ability to planarize features typically found on an IC chip. A mathematical model is developed to describe fluid flow on a rotating disk based on the principles of mass and momentum conservation. Constitutive relationships necessary for this model are proposed. Experimental data for polyimide precursor solutions are presented which enable the determination of parameters for the constitutive equations. This model is used to describe the film profiles over flat surfaces and near micron-sized features. Attention is focused on the coupling between mass transport and fluid flow as well as the effects of surface tension on film profiles over topographical features.

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