Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff Bode Numerical Analysis for Engineering MEAE-4960 April 10, 2001.

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Presentation transcript:

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff Bode Numerical Analysis for Engineering MEAE-4960 April 10, 2001

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE Problem was the determination of oil film thickness on plate X

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE is treated as a constant.  f is not known, and needs to be solved for. Third Order Differential Equation Was Analyzed

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE Third Order DE transformed into 3 First Order Differential Equations. Runge-Kutta Method for Systems of Differential Equations Selected

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE Initial guess of  f is required (iteration necessary). Equations not valid at x=0, therefore approximation necessary.  (0.0001) is guessed for initial condition.  ’(0.0001) and  ’’(0.0001) are determined numerically. Initial Conditions Are Required For Analysis

Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE Solution should have the following output –  =  f –  ’ = 0 –  ’’ > 0 Despite variation of initial conditions for  (0.0001), no solution with all of above 3 conditions could be found. Closest estimate with  ’ = 0 produced over 2000% error. Initial Conditions For  (x) Became Roadblock For Accurate Results