1 Crore+ students have signed up on EduRev. Have you? Download the App |
Karman-Pohlhausen Approximate Method For Solution Of Momentum Integral Equation Over A Flat Plate
(30.2)
In order to determine the constants a0,a1,a2, and a3 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 Tw in Eq. (30.5) we get,
whereC1 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 Non-Zero 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, τω = 0
56 videos|104 docs|75 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 videos|104 docs|75 tests
|
|
Explore Courses for Mechanical Engineering exam
|