Fluid flow in an arbitrary cascade on an axisymmetric stream surface in a variable thickness layer

1972 ◽  
Vol 4 (5) ◽  
pp. 63-67
Author(s):  
G. V. Viktorov ◽  
I. V. Vuchkova
2021 ◽  
Vol 13 (5) ◽  
pp. 168781402110136
Author(s):  
Mumtaz Khan ◽  
Amer Rasheed ◽  
Shafqat Ali ◽  
Qurat-ul-Ain Azim

The main objective of this paper is to offer a comprehensive study regarding solar radiation and MHD effects on 3D boundary layer Jeffery fluid flow over a non-uniform stretched sheet along with variable thickness, porous medium and chemical reaction of first order are assumed. The system of equations representing temperature, velocity and concentration fields are converted into dimensionless form by introducing dimensionless variables. Thereafter, the aforesaid equations are solved with the help of BVP4C in MATLAB. The numerical results obtained through this scheme are more accurate when compared with those in the existing literature. In order to have a pictorial representation, the effects of material and flow parameters on velocity, temperature and concentration profiles are presented through graphs. Moreover, the numerical values of heat and mass transfer rate and skin friction coefficient are given in tabular form. It is evident from the acquired results, that the velocity offers two fold behavior for variable thickness parameter that is, n < 1 close and away from the non-uniform surface. It is also noted that the axial and transverse velocities show an increasing behavior for Deborah number while the fluid temperature and concentration shows opposite behavior at the same time.


Author(s):  
Rune Storesund ◽  
Alan Kropp

This forensic engineering (FE) study evaluated root cause errors associated with excessive differential settlements on a housing project constructed on top of a variable thickness layer of highly compressible clays. The structures were reported to have experienced differential settlements on the order of 2 to 10 in. across 40 ft. The FE study examined fundamental assumptions, granularity/resolution of the settlement and differential settlement analyses, and finalized grading plan vs. the conceptual grading plan used as a basis for the differential settlement predictions. The FE study found numerous discrepancies between the “idealized site” used as a basis of analysis and the “actual site” as constructed.


2019 ◽  
Vol 46 (8) ◽  
pp. 0802003
Author(s):  
周显新 Xianxin Zhou ◽  
辛博 Bo Xin ◽  
巩亚东 Yadong Gong ◽  
张伟健 Weijian Zhang ◽  
张海权 Haiquan Zhang

Geophysics ◽  
1996 ◽  
Vol 61 (2) ◽  
pp. 365-372 ◽  
Author(s):  
Robert L. Parker

Fourier methods for potential fields have always been developed with the simplification that the calculation surface is a level plane. The Fourier approach can be extended to deal with an uneven observation surface. I consider the case of terrain correction for gravity surveys, in which the attraction of a variable‐thickness layer is calculated at points on its upper surface. The main idea is to use a power series in topographic height that is then converted into a series of convolutions. To avoid convergence problems, a cylindrical zone around the observer must be removed from the Fourier treatment and its contribution computed directly. The resultant algorithm is very fast: in an example based on a recent survey, the new method is shown to be more than 300 times faster than a calculation based on summing contributions from a column of material under each topographic grid point.


1987 ◽  
Author(s):  
Zou Zixiang ◽  
Yuan Ding

This paper presents a physical model and its mathematical expressions (partial differential equation group), which are to be used to calculate the optimum velocity distribution on blade surface. The method is based on the theory of boundary layer and the calculation of cascade loss, and to employ the Pontijagin maximum principle as well as the new optimum techniques in applied mathematics. In this paper, a computing method of optimum velocity distribution along the blade surface in 2-D incompressible flow is presented by analysing and solving the equation group, and then by using the method which is presented by Zou Zixiang (1976), and through a logical analysis, a new method has been offered, which can converted from an optimum velocity distribution along the plane stream surface of incompressible fluid flow into that of an arbitrary stream surface of revolution in compressible fluid flow.


2008 ◽  
Vol 130 (4) ◽  
Author(s):  
Graham Pullan ◽  
Neil W. Harvey

Sweep, when the stacking axis of the blade is not perpendicular to the axisymmetric stream surface in the meridional view, is often an unavoidable feature of turbine design. In a previously reported study, the authors demonstrated that sweep leads to an inevitable increase in midspan profile loss. In this paper, the influence on the flowfield close to the endwalls is investigated. Experimental data from two linear cascades, one unswept, and the other swept at 45 deg but having the same overall turning and midspan pressure distribution, are presented. It is shown that sweep causes the blade to become more rear loaded at the hub and fore loaded at the casing. This is further shown to reduce the penetration of the secondary flow at the hub, and to produce a highly unusual secondary flow structure, with low endwall overturning, at the casing. A computational study is then presented in which the development of the secondary flows of both blades is studied. The differences in the endwall flowfields are found to be caused by a combination of the effect of sweep on both the endwall blade loading distribution and on the bulk movements of the primary irrotational flow.


Sign in / Sign up

Export Citation Format

Share Document