Stability analysis of dual solutions for boundary layer stagnation point flow over a shrinking sheet with suction
At the surface of the object in the flow field, there exist stagnation points when the fluid is brought to rest effected from the object. This stagnation region experiences the highest pressure. This thesis studies some problems in stagnation point region by considering five problem in differe...
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| Format: | Thesis |
| Language: | English |
| Published: |
2018
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/77181/1/IPM%202018%2010%20-%20IR.pdf |
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| Summary: | At the surface of the object in the flow field, there exist stagnation points when the
fluid is brought to rest effected from the object. This stagnation region experiences
the highest pressure. This thesis studies some problems in stagnation point region
by considering five problem in different situation. The five problems considered
are stagnation point flow over exponentially shrinking sheet, stagnation point flow
over shrinking sheet in homogeneoues heterogeneous reactions, MHD stagnation
point flow over shrinking sheet, MHD stagnation point flow over shrinking sheet in
nanofluid and unsteady MHD stagnation point flow over shrinking sheet. Shrinking
sheet and suction parameter is considered in all the problems. The partial differential
equations for each problem are first transformed into similarity equations in
ordinary differential equations form by similarity transformations. Then, the equation
obtained are then solved numerically by using the bvp4c function and shooting
method. We used commercially available software which is Maple to generate
the shooting technique where Runge-Kutta method together with Newton-Raphson
method is involved. Meanwhile bvp4c function is used in MATLAB. Comparisons
with existing solutions in literature for specific cases have been made and the present
results show an excellent agreement from previous work. It is found that dual solutions
exist for a certain range of shrinking and suction parameter for all problems.
Therefore, stability analysis is performed to determine the stable solutions by using
the bvp4c function. This analysis concludes that, only the first solution is stable and
physically significant while the second solution is unstable. |
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