- Parent Category: Programming Assignments' Solutions
We Helped With This MATLAB Programming Homework: Have A Similar One?
|More Info||Numerical Analysis Assignment Help In Matlab|
Short Assignment Requirements
ENME 303 HW12
Due Monday, December 10th by 10:00 am
For each problem, submit: a copy of any script and function used in the problem (m), a copy of the command line input/output associated with the problem, any plots generated, and a brief summary (one or two sentences).
The rate of heat flow by conduction between two points on a cylinder heated at one end is given by
dQ dT where λA == constant cylinder’s cross sectional area Tt = = time temperature
A dt dx Q = Heat flow x = distance from the heated end
Because the equation involves two derivatives, we will simplify this equation by letting
dT 100(L x)(20t) where L = length of the rod
dx 100 xt
Combine the two equations and compute the heat flow for t = 0 to 25 s using the Euler’s method and the second order Runge-Kutta methods (Heun). The initial condition is Q(0) = 0 and the parameters are λ = 0.5 cal·cm/s, A = 12 cm2, L = 20 cm and x = 2.5 cm. Plot your results in one graph and comment on your results.
The following equation can be used to model the deflection of a sailboat mast subject to a wind force:
d y2 f 2
where f = wind force, E = modulus of elasticity, L = mast length, and I = moment of inertia. Note that the second order differential equation can be decoupled into the following two first order differential equations:
dy w dw f L z2 dz dz 2EI
Write a program that uses the fourth-order Runge-Kutta method to calculate the deflection distribution along the mast and plot it against z if y = 0 and dy/dz = 0 at z = 0. Use parameter values of f = 60, L = 30, E = 1.25 × 108, and I = 0.05 for your computation.