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    <title>Transport Research International Documentation (TRID)</title>
    <link>https://trid.trb.org/</link>
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    <copyright>Copyright © 2026. National Academy of Sciences. All rights reserved.</copyright>
    <docs>http://blogs.law.harvard.edu/tech/rss</docs>
    <managingEditor>tris-trb@nas.edu (Bill McLeod)</managingEditor>
    <webMaster>tris-trb@nas.edu (Bill McLeod)</webMaster>
    <image>
      <title>Transport Research International Documentation (TRID)</title>
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      <link>https://trid.trb.org/</link>
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    <item>
      <title>Steady Subsurface Drainage of Ponded Surface by an Array of Parallel Ditches</title>
      <link>https://trid.trb.org/View/1237060</link>
      <description><![CDATA[An array of ditches method of subsurface drainage is advantageous for various playgrounds, golf courses, parks, and also for orchard plantation where there is little farming operations. A comprehensive analytical solution for the problem of subsurface drainage of a ponded surface by an array of parallel ditches has been obtained by conformal mapping. The symmetry about the vertical axis has been considered in obtaining the solution for half of the drainage domain. The presented solution is applicable for the two dimensional steady drainage from a horizontal ponded surface of finite depth to an array of parallel ditches in homogeneous and isotropic porous medium having an impervious layer lying at finite depth or at infinite depth. The solution includes equations for the quantity of drainage from the seepage face part as well as the water depth part of the ditch. The solution also comprises expressions for the variation in seepage velocity at various locations along the porous medium. Further, particular solutions (e.g., single ditch, empty ditch, ditch of negligible width, impervious layer at infinite depth, or at the bottom of ditch) have been deduced from the proposed generalised solution. The single-ditch solutions have been verified with the existing results of previous work.]]></description>
      <pubDate>Wed, 23 Jan 2013 09:11:22 GMT</pubDate>
      <guid>https://trid.trb.org/View/1237060</guid>
    </item>
    <item>
      <title>FORCES ON EDGE-HINGED PANELS IN GRADUALLY VARIED FLOW</title>
      <link>https://trid.trb.org/View/635907</link>
      <description><![CDATA[This paper describes a mathematical model leading to experimental analysis to estimate the hydraulic forces on a prototype edge-hinged panel (wicket gate) in gradually varied flow.  The two-dimensional potential theory of hydrodynamics is used to model the effect of the mean water flow approaching a gate aperture controlled by a hydraulic wicket in a locks-and-dam system.  The mean pressure against a typical wicket partially blocking the aperture is then modeled using conformal mapping. The elastic reaction at the supporting shaft of the gate is derived from equilibrium considerations.  The effect of the fluctuations of the pressure field about the mean is obtained through an application of the theory of stationary random processes.  The total design reaction at the shaft of the wicket is cast in a first-order second-moment format.  The theoretical model is compared with experiments on a 1/25-scale physical model.  The application of the model in hydraulic design of wicket gates is illustrated by means of a practical example.]]></description>
      <pubDate>Sun, 27 Sep 1998 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/635907</guid>
    </item>
    <item>
      <title>ON THE USE OF THE CLOSE-FIT CONFORMAL MAPPING PROCEDURE FOR TREATING THE ACTUAL SHIP HYDRODYNAMIC PROBLEMS</title>
      <link>https://trid.trb.org/View/479927</link>
      <description><![CDATA[The paper describes the wide range of application of the Close- Fit Multi-Parameter Conformal Mapping Procedure (CFCMP), which performs the single-valued mapping of the exterior of the ship-like contour onto the exterior of the unit circle, for solving various problems in applied ship hydrodynamics.  CFCMP is based on the well known Theodorsen transformation, realised in the form of two different methods (developed by Honkanen, Hoffman & Zielinski). These methods, used in their original versions, are applicable to diverse ship-like contours (fine, chine, bulbous, tunnel, etc), symmetrical in respect of vertical axis, and being modified according to R.E.D. Bishop et al, may be used for the contours of arbitrary shape (eg heeled contours).  Results of calculations following CFCMP are used to form the geometry database of the actual ship with given means draught, trim and list, which in turn is used for the calculation of buoyance and stability, hydrodynamic characteristics of ship motions at given frequency (according to the F. Ursell method), pressure resistance due to wavemaking, and for flow visualisation (ie calculation and plotting of the potential streamlines for a ship moving in still water, following C. von Kerczek and E.O. Tuck.]]></description>
      <pubDate>Thu, 27 Mar 1997 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/479927</guid>
    </item>
    <item>
      <title>TWO-DIMENSIONAL BOUNDARY-LAYER CALCULATIONS FOR LEWIS-SHAPED SHIP SECTIONS</title>
      <link>https://trid.trb.org/View/433471</link>
      <description><![CDATA[An integral method is used to solve the two-dimensional laminar incompressible boundary-layer equations. In the steady case the separation points are computed for several deeply submerged Lewis-shaped ship sections in a lateral flow with constant velocity and in a circulating flow with constant circulation. In the unsteady case investigations are made into an oscillating circular cylinder and into rolling Lewis-shaped ship sections with various half beam to draft ratios and area coefficients. It is shown that the moment of starting separation is of much more interest than the local position of the separation point. A prediction is made about the eddy damping part of the roll damping moment in dependence on the bilge radius.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/433471</guid>
    </item>
    <item>
      <title>OPTIMUM CONFIGURATION OF DISCONTINUITY IN SHIP HULL CONSTRUCTION - 4TH REPORT: OPTIMUM CONFIGURATION OF A HOLE IN AN INFINITY ELASTIC PLATE UNDER BIAXIAL LOADING</title>
      <link>https://trid.trb.org/View/436213</link>
      <description><![CDATA[The report is concerned with optimum configuration of a hole from the standpoint of the minimum stress concentration in an infinite elastic plate under biaxial loading. Investigating the fundamental property of tangential stress distribution around a hole, the authors clarify that the optimum stress distribution around a hole which has the minimum value of stress concentration ratio must be a stepwise distribution corresponding to the loading condition. They employ the conformal mapping technique in obtaining the optimum configuration of a hole having that of stress distribution. As the result of the investigation, the relation between the aspect ratio of the hole and the minimum stress concentration ratio is shown for various biaxial loading conditions. For practical use of design of a hole, they propose the simple mathematical description of a hole whose stress concentration ratio is closer to the minimum value.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/436213</guid>
    </item>
    <item>
      <title>APPLYING THE CONFORMAL MAPPING METHOD TO SHIP MANOEUVRING PROBLEMS</title>
      <link>https://trid.trb.org/View/439817</link>
      <description><![CDATA[No abstract provided.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/439817</guid>
    </item>
    <item>
      <title>A DISCUSSION ON IRREGULARITIES WHICH OCCUR IN COMPUTATION OF SHIP MANOEUVRING IN A RESTRICTED WATERWAY USING THE NUMERICAL CONFORMAL MAPPING METHOD</title>
      <link>https://trid.trb.org/View/440682</link>
      <description><![CDATA[No abstract provided.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/440682</guid>
    </item>
    <item>
      <title>ON THE PREDICTION OF IMPACT PRESSURE DUE TO BOTTOM SLAMMING ON A CONTAINER SHIP</title>
      <link>https://trid.trb.org/View/443446</link>
      <description><![CDATA[The phenomenon of ship slamming has been known for a long time in ship design history and is one of the heaviest responses which a marine vehicle is subjected to in rough weather.  In this paper the authors use a conformal mapping technique which maps an arbitrary section to a unit semi-circle using a three parameter and two parameter fit.  The coefficients thus obtained by the transformation are put into the regression equation of Ochi to predict the slamming pressure at the bottom of a high speed container ship (SL-175).  The mapped coefficients are obtained by using the following input data, i.e. half breadth, one tenth draught, sectional area and centroid of the ship section.  These results are also compared with the experimental work carried out on a container ship model.  Results of vertical acceleration, vertical relative motion, heave and pitch motion measurements in regular waves are also presented.  The theoretical method developed about serves as an important tool at an early stage of ship design for predicting slamming pressure in regular waves.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/443446</guid>
    </item>
    <item>
      <title>DESCRIPTION OF INTERACTION OF A SINGLE FREE VORTEX WITH A FINITE AIROFOIL CASCADE USING CONFORMAL MAPPING METHOD</title>
      <link>https://trid.trb.org/View/444151</link>
      <description><![CDATA[A method of description of unsteady flow around an airofoil cascade if discussed in this paper.  The method is based on conformal mapping.  An example of interaction between finite cascade and passing potential vortex is given.  A method of flow potential modification on an auxiliary plane is presented. Run-time shortening procedures based on the variation of distribution of singularities describing the flow are introduced. The analysis has been exemplified by calculation results for the palisade consisting of four airofoils.]]></description>
      <pubDate>Mon, 14 Aug 1995 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/444151</guid>
    </item>
    <item>
      <title>CREST LOSSES FOR TWO-WAY DROP INLET</title>
      <link>https://trid.trb.org/View/103898</link>
      <description><![CDATA[THE FLOW AT THE ENTRANCE TO THE TWO-WAY DROP INLET IS ANALYZED THEORETICALLY AND AN EXPRESSION FOR THE LOSS COEFFICIENT AT THE CREST IS DEVELOPED.  IT IS ASSUMED THAT A JET FORMS IN THE DROP INLET AND THAT THE CREST HEAD LOSS IS A RESULT OF THE EXPANSION OF THIS JET. THE THEORETICAL LOSS IS A SIMPLE FUNCTION OF THE JET WIDTH. THIS WIDTH CAN BE DETERMINED BY FREE STREAMLINE POTENTIAL FLOW METHODS. THE THEORETICAL CREST LOSS COEFFICIENTS COMPARE WELL WITH EXPERIMENTAL VALUES.  /ASCE/]]></description>
      <pubDate>Thu, 04 Aug 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/103898</guid>
    </item>
    <item>
      <title>GROUNDWATER FLOW OVER A SLOPING IMPERMEABLE LAYER. 2 EXACT SOLUTIONS BY CONFORMAL MAPPING</title>
      <link>https://trid.trb.org/View/126782</link>
      <description><![CDATA[EXACT SOLUTIONS ARE OBTAINED BY THE HODOGRAPH METHOD FOR SATURATED SEEPAGE FLOW OVER AN IMPERMEABLE BASE OF SLOPE 30 DEGREES TO THE HORIZONTAL, WHEN THE RATE OF REPLENISHMENT BY DISTRIBUTED INFILTRATION HAS A CRITICAL VALUE OF 0.0718 TIMES THE HYDRAULIC CONDUCTIVITY. THREE DIFFERENT PROBLEMS ARE CONSIDERED. /1/ FLOW OVER A SLOPE INTO A HORIZONTAL SLIT DRAIN. THE WIDTH OF DRAIN EFFECTIVE IN REMOVING WATER IS EQUAL TO ABOUT 4.0% OF THE DOWNSLOPE DISTANCE, AND THE MIXIMUM DEPTH OF WATER /MEASURED NORMAL TO THE IMPERMEABLE LAYER/ IS ABOUT 10% AND OCCURS AT 72% OF THE DISTANCE DOWNSLOPE. THE APPROXIMATE SOLUTION OBTAINED USING THE EXTENDED FORM OF DUPUIT-FORCHHEIMER ASSUMPTION IS IN EXCELLENT AGREEMENT WITH THE EXACT RESULT EXCEPT NEAT THE SLIT DRAIN. /2/ FLOW WITH FINITE DEPTH AT THE HIGHEST POINT. THE DUPUIT-FORCHHEIMER ASSUMPTION IS ASYMPTOTICALLY CORRECT AT LARGE DISTANCES DOWNSTREAM BUT FAILS AS THE HIGHEST POINT ON THE PHREATIC SURFACE IS APPROACHED, WHERE THE SURFACE IS HORIZONTAL. /3/ SEEPAGE SURFACE PARALLEL TO THE IMPERMEABLE LAYER /THE PERMEABLE OVERBURDEN PROBLEM/. THE DEPTH OF SATURATED FLOW INCREASES WITH DOWNSLOPE DISTANCE, UNTIL THE PHREATIC SURFACE INTERESTS THE SEEPAGE SURFACE AT A DOWNSLOPE DISTANCE OF 7.3 TIMES THE OVERBURDEN DEPTH. FLOW ACROSS THE SEEPAGE SURFACE /AN INFLOW/ DECREASES RAPIDLY WITH FURTHER DISTANCE DOWNSLOPE. THE EXTENDED DUPUIT-FORCHHEIMER ASSUMPTION LEADS TO AN EXCELLENT PREDICTION OF THE SHAPE OF PHREATIC SURFACE BUT TREATS THE THE SEEPAGE FLOW AS ZERO. /AUTHOR/]]></description>
      <pubDate>Thu, 28 Jul 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/126782</guid>
    </item>
    <item>
      <title>OSCILLATIONS OF FLOATING CYLINDERS OF ARBITRARY CROSS SECTION. THE LIMITING CASES OF SMALL AND LARGE FREQUENCIES</title>
      <link>https://trid.trb.org/View/391013</link>
      <description><![CDATA[The problem of small oscillations of floating cylinders of arbitrary cross section (symmetrical or asymmetrical) is solved in closed form for the limiting cases of small and large oscillation frequencies. The solutions are presented in the form of finite of infinite series of the coefficients of the function mapping conformally the semi- circle on the examined cross section.]]></description>
      <pubDate>Thu, 21 Jul 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/391013</guid>
    </item>
    <item>
      <title>A COMBINATION CONFORMAL-TRANSFINITE MAPPING METHOD FOR GRIDS ABOUT FIN-AFTERBODY COMBINATIONS</title>
      <link>https://trid.trb.org/View/394625</link>
      <description><![CDATA[An algebraic procedure is presented for the generation of a smooth computational grid about an afterbody-fin configuration. The method makes use of a sequence of conformal transformations to upwrap the geometry and remove the corner singularities at the fin trailing edge and tail of the afterbody. A 3-D grid is generated by stacking a sequence of 2-D grids of the C-type on predetermined, smooth tubular surfaces. Clustering is accomplished by a sequence of one- dimensional stretching functions in physical space. Examples are presented to show the character of the resulting grid.]]></description>
      <pubDate>Thu, 21 Jul 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/394625</guid>
    </item>
    <item>
      <title>EFFECTS OF DISTRIBUTED ROUGHNESS ON THE SKIN FRICTION OF SHIPS</title>
      <link>https://trid.trb.org/View/396121</link>
      <description><![CDATA[A method for calculating boundary layer characteristics and skin friction resistance is presented. It can be used for ships with smooth, rough or partly rough hull surfaces and is based upon the technique of conformal mapping.]]></description>
      <pubDate>Thu, 21 Jul 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/396121</guid>
    </item>
    <item>
      <title>COMPUTATION OF SHIP INTERACTION FORCES AND MOMENTS IN RESTRICTED WATERWAYS USING THE NUMERICAL CONFORMAL MAPPING METHOD</title>
      <link>https://trid.trb.org/View/407625</link>
      <description><![CDATA[A two-dimensional "obstacle Green function" of a waterway is formulated using a numerical Schwarz-Christoffel transformation. The computation of unsteady hydrodynamic interactions on ships navigating in restricted waters is then extended to more complicated waterways that have arbitrary polygonal contours. Examples involving various configurations for harbor entrances and water channels are discussed.]]></description>
      <pubDate>Thu, 21 Jul 1994 00:00:00 GMT</pubDate>
      <guid>https://trid.trb.org/View/407625</guid>
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