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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff Bode Numerical Analysis for Engineering MEAE-4960 April 10, 2001

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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE-49602 Problem was the determination of oil film thickness on plate X

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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE-49603 is treated as a constant. f is not known, and needs to be solved for. Third Order Differential Equation Was Analyzed

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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE-49604 Third Order DE transformed into 3 First Order Differential Equations. Runge-Kutta Method for Systems of Differential Equations Selected

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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE-49605 Initial guess of f is required (iteration necessary).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

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Oil Film Thickness Calculation On A Flat Plate Withdrawn from Oil Bath Jeff BodeMEAE-49606 Solution should have the following output – = f – ’ = 0 – ’’ 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

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AP Calculus AB 6.3 Separation of Variables Objective: Recognize and solve differential equations by separation of variables. Use differential equations.

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