The flow of a fluid over a flat plate, aligned with the flow, is governed by the equation 2 0 f f…

The flow of a fluid over a flat plate, aligned with the flow, is governed by the equation 2 0 f f ʹʹʹ + f ʹʹ = where the primes represent differentiation with respect to an independent variable η, that is, f ″ = d2f/dη2. The dimensionless velocity in the direction along the plate is given by f ′, which is to be computed. The dimensionless quantity f is termed the stream function. The boundary conditions for this problem are as follows: At At η η = = ʹ = = ∞ ʹ = 0 0 0 1 : : f f f Employing the fourth-order Runge–Kutta method, solve this BVP. For the application of the second boundary condition, take η = 8 as being large enough to represent infinity.

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