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Using a similarity variable, the laminar boundary layer equation for an incompressible steady flow over a flat plate can be written as: f ' '
Using a similarity variable, the laminar boundary layer equation for an incompressible steady flow over a flat plate can be written as:
Boundary conditions for the problem are:
where is the nondimensional stream function of the similarity variable
a Select an appropriate finite difference method and find the numerical solution by applying Tridiagonal matrix algorithm TDMA Hint: You can use trapezoidal rule for numerical integration.
b Solve the same problem by using Shooting Method utilizing RegulaFalsi and order Runge Kutta RK Lower and upper bounds for root finding with RegulaFalsi are and respectively.
For both solution numerical approaches of a and b plot followings:
Comparative plots of and
Comparative plots of velocity profile at
Compare wall shear stress and skin friction coefficient distributions obtained using up to over the plate.
Note: Consider air flow with density of and dynamic viscosity of Free stream velocity of the flow is
Prepare a report on your calculations indicating the code, outputs such as graphics and comment on them.
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