KarmanPohlhausen Approximate Method For Solution Of Momentum Integral Equation Over A Flat Plate
(30.2)
In order to determine the constants a_{0},a_{1},a_{2}, and a_{3} we shall prescribe the following boundary conditions
(30.3d)
These requirements will yield respectively
Finally, we obtain the following values for the coefficients in Eq. (30.2),
and the velocity profile becomes
(30.5)
Again from Eq. (29.8), the momentum thickness is
The wall shear stress is given by
substituting the values of δ^{**} and T_{w} in Eq. (30.5) we get,
whereC_{1} is any arbitrary unknown constant.
(30.8)
In addition to the boundary conditions in Eq. (30.3), we shall require another boundary condition at
This yields the constants as . Finally the velocity profile will be
Subsequently, for a fourth order profile the growth of boundary layer is given by
(30.10)
Integral Method For NonZero Pressure Gradient Flows
or
(30.11)
The boundary conditions are
(30.12)
(30.22)
This corresponds to K = 0.0783.
Point of Seperation
For point of seperation, τ_{ω = 0}
56 videos104 docs75 tests

1. What is the Karman Pohlhausen approximate method in mechanical engineering? 
2. When is the Karman Pohlhausen approximate method used in mechanical engineering? 
3. How does the Karman Pohlhausen approximate method work? 
4. What are the limitations of the Karman Pohlhausen approximate method? 
5. Are there any alternative methods to the Karman Pohlhausen approximate method? 
56 videos104 docs75 tests


Explore Courses for Mechanical Engineering exam
