تم الحل ✓
categoryالهندسة الميكانيكية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
3.3
Consider two infinite parallel plates, a distance of 0.3 cm apart. The upper
plate is stationary and the lower plate oscillates according to
u(0,t) =
= cos(1000t) = cos(1000nAt)
where n represents the computational time level, selected to be 1 at t = 0.0.
The governing equation is obtained from the Navier-Stokes equation as
=
Ju
= V
J²u
at მყ2
Assume the kinematic viscosity is constant and has a value of 0.000217 m²/s, and
uo 40 m/s. Select 31 equally spaced grid points with j = 1 located at the lower
plate. A time step of At = 0.00002 sec. is specified. Use the FTCS explicit scheme
to obtain the solution within the domain up to t = 0.00632 sec. Print the solution
for all spatial locations at time levels of 0.0, 0.00158, 0.00316, 0.00474, and 0.00632
seconds. Plot the velocity profiles at the time levels indicated above.
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