
Concept explainers
For Blasius flat plate relation, devise an iteration method which starts with

Answer to Problem 7.5CP
Initial value for second derivative is equal to
Explanation of Solution
Given information:
The Blasius flat plate relation is defined as,
Boundary conditions are,
At
At
And,
The Blasius equation is a third order nonlinear differential equation,
Assume a power series expansion for small values of
Calculation:
According to the explanation given,
Find the first, second and third derivative of above equation,
Apply boundary conditions,
Therefore,
According to
Therefore we get,
Substitute for
By equating co-efficient to zero,
For initial condition,
According to power series expansion,
According to power series expansion,
Assume,
For
For
For
Comparing with table 7.1, the obtained values for
Therefore,
Assume,
For
For,
For,
Comparing with table 7.1, the obtained values for
Therefore,
Assume,
For
For,
For,
This seems almost equal with the values that in table 7.1
Therefore, initial second derivative is almost equal to
Conclusion:
The initial second derivative is almost equal to
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