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By Dr. A. C. Thompson

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10) At line 1110 the vertical position on the screen is calculated, allowing for the downward numbering of pixels and the scale factor. The horizontal screen position is found in line 1120. If the first grid column is being dealt with line 1130 diverts the program to line 1160 so that a point is plotted. Otherwise line 1140 draws a line from the last point to the present one. (11) Line 1170 resets the row number to zero for the search up the next column. After each column has been searched for the position of each streamline and the lines plotted, the routine returns to the main program at line 352.

Lines 150 and 160 set the scaling factor SF for the plotting. The ψ values are found in lines 250 to 310. Line 255 is included to reassure the user that the program is running! 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.

15. 15 Flow through a siphon The velocity will be seen to be greatest at the point 1 on the inside of the curved passage. This velocity can be related to the flow through the passage by the expression for the potential flow so 28 Potential flow fundamentals Using Bernoulli's equation For a steadyflowθφ/θί = 0, and for z0 = zl5 p0 = 0 and V0 = 0 If the limit on /?! is that it must be greater than the vapour pressure, we can work out the maximumflowrate per unit width q. The forces tending to collapse the siphon could also be examined by finding pressures on the walls at other points.

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