By Dr. A. C. Thompson
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Extra resources for Basic Hydrodynamics
6) At line 250 the subroutine to calculate velocities on the new shape is called, an option to recalculate velocities is given and the program stops at line 300. (7) Subroutine 1000 transforms the circle to a new shape by finding xy y coordinates for NP points from lines 1010 to 1090. The x, y coordinates of each point on the circle are found in lines 1020 to 1040. These are then transformed to new x, y values in lines 1050 to 1080. At line 1100 the routine returns to line 160. (8) Subroutine 2000 plots the new shape.
0 is set up right across the layer in lines 190 to 210. (5) The loop from 220 to 450 finds and prints the required number of profiles. Within this loop is the loop from line 230 to 330 which marches downstream by J2 steps of Δχ For each downstream step the loop from 250 to 320 calculates the velocity at each of K2 points across the boundary layer. 0 on the outer edge of the layer. In the loop from 250 to 290 U(2,K) at downstream points are calculated from U(1,K) at upstream points. The y-coordinates of these downstream points are also found.
46 Potential flow fundamentals The drag coefficient CD and lift coefficient CL are calculated from the forces in the JC and y directions by this program. Strictly speaking, these should be along and across the direction of the stream if we are to compare the results with potential flow formulae. Further lines can be incorporated to do this; for example CX = CD CY = CL CD - CX X cos (AF) + CY X sin (AF) CL = - C X X sin (AF) + CY X cos (AF) 3000 3010 3020 3025 3026 3030 3040 3050 3060 3065 3066 3067 3070 3080 3090 3100 3110 3120 3130 3140 3150 3160 3180 3190 3200 3210 3220 3230 3240 3300 REN V,P,F ON SHAPE INPUT "ANGLE OF FLOU?