Basic Hydrodynamics by Dr. A. C. Thompson

By Dr. A. C. Thompson

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It was assumed that flows over streamlined bodies, for example, could be calculated by potential flow theory because the effects of friction were confined to a small layer of fluid close to the body. This is the boundary layer. One of the results of potential flow theory was that no force on a body in line with the stream is predicted. There must of course be some force due to frictional effects and to calculate this we must include the boundary layer in our calculations. The actual size of the boundary layer can be found and our assumption that it was small can be checked.

Lines 2040 to 2050 set up the screen for plotting. In lines 2060 to 2240 the points are plotted. Each x and y value is scaled and offset to fit in the 360 X 160 picture space, in lines 2070 to 2080. The first point is selected by line 2090 and plotted as a single dot in line 2200. 19 Velocities and pressures on a wing shape Worked examples 45 points are joined by lines from the last point in lines 2100 and 2110. Finally, in lines 2220 to 2240 the last point is joined by a line to the first. In Une 2250 the program returns to line 230.

Line 350 calls the subroutine to plot the streamlines, which starts at line 1000. HOME cleans the screen, VTAB24 sets the cursor at the bottom of the screen and HGR brings the graphics routines into operation. The number of ψ lines and the interval Δψ between each is input in lines 1040 and 1041. For each ψ value the columns of the grid are searched for its > location assuming a linear variation in ψ between the nodes. These > points in each column are joined by straight lines using the instruction HPLOT Xl9 Y1 (line 1140) to mark a point in the first column and then HPLOT TO Xl9 Yl (line 1160) to join following points by drawing to that point.

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