Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
The consideration of the stagnation point flow over a stretching/shrinking sheet in carbon nanotubes (CNTs) is investigated. Mathematical models are derived for three boundary layer flow problems over a linearly, nonlinearly and exponentially stretching/shrinking sheet in CNTs with the presence of...
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| Format: | Thesis |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/98858/1/IPM%202021%2013%20UPMIR.pdf |
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| Summary: | The consideration of the stagnation point flow over a stretching/shrinking sheet
in carbon nanotubes (CNTs) is investigated. Mathematical models are derived
for three boundary layer flow problems over a linearly, nonlinearly and exponentially stretching/shrinking sheet in CNTs with the presence of slip at the surface.
Both single- and multi-wall CNTs are used along with two base fluids which are
water and kerosene. Similarity transformation are used to transform the partial differential equations into a nonlinear ordinary differential equations. The
stability analysis is derived for linear case by introducing the partial differential
equations in unsteady case. These equations are then solved by using bvp4c solver
in Matlab.
Numerical results of skin friction coefficient and local Nusselt number are exhibited in forms of table and graph and also for profiles of velocity and temperature
for a range of numerous parameters such as Prandtl number Pr, CNTs volume
fraction φ, velocity slip parameter σ, thermal slip parameter σt, heat generation
parameter Q, suction/injection parameter S, stretching/shrinking parameter ∈
and nonlinear parameter β. These parameters are observed to have a major
influence on coefficient of skin friction and the local Nusselt number which illustrates the rate of heat transfer at the surface. The results show that solutions
for shrinking sheet are dual solutions while unique solutions for stretching sheet.
It is noticed that slip parameter, suction/injection parameter and nonlinear parameter widens the range in which the dual solutions exist. Furthermore, the
first solution is found stable meanwhile the second solution is unstable and it is
obtained by performing a stability analysis. |
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