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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Main Author: Norzawary, Nur Hazirah Adilla
Format: Thesis
Language:English
Published: 2020
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Online Access:http://psasir.upm.edu.my/id/eprint/98858/1/IPM%202021%2013%20UPMIR.pdf
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spelling my-upm-ir.988582022-10-17T00:53:53Z Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects 2020-10 Norzawary, Nur Hazirah Adilla 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. Stagnation point Carbon nanotubes 2020-10 Thesis http://psasir.upm.edu.my/id/eprint/98858/ http://psasir.upm.edu.my/id/eprint/98858/1/IPM%202021%2013%20UPMIR.pdf text en public masters Universiti Putra Malaysia Stagnation point Carbon nanotubes Bachok, Norfifah
institution Universiti Putra Malaysia
collection PSAS Institutional Repository
language English
advisor Bachok, Norfifah
topic Stagnation point
Carbon nanotubes

spellingShingle Stagnation point
Carbon nanotubes

Norzawary, Nur Hazirah Adilla
Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
description 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.
format Thesis
qualification_level Master's degree
author Norzawary, Nur Hazirah Adilla
author_facet Norzawary, Nur Hazirah Adilla
author_sort Norzawary, Nur Hazirah Adilla
title Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
title_short Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
title_full Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
title_fullStr Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
title_full_unstemmed Stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
title_sort stagnation point flow over a stretching/shrinking sheet in a carbon nanotubes with slip effects
granting_institution Universiti Putra Malaysia
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/98858/1/IPM%202021%2013%20UPMIR.pdf
_version_ 1747813901760724992