Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis

This study focuses on the flow of stagnation region and heat transfer of carbon nanotubes (CNTs) over an exponentially stretching/shrinked sheet in the presence of homogeneous–heterogeneous reactions. Kerosene and water are considered base fluids in both single-wall and multi-wall carbon nanotubes....

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Main Authors: Anuar, Nur Syazana, Bachok @ Lati, Norfifah, Md. Arifin, Norihan, Rosali, Haliza
Format: Article
Language:English
Published: MDPI 2019
Online Access:http://psasir.upm.edu.my/id/eprint/38400/1/38400.pdf
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author Anuar, Nur Syazana
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
Rosali, Haliza
author_facet Anuar, Nur Syazana
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
Rosali, Haliza
author_sort Anuar, Nur Syazana
collection UPM
description This study focuses on the flow of stagnation region and heat transfer of carbon nanotubes (CNTs) over an exponentially stretching/shrinked sheet in the presence of homogeneous–heterogeneous reactions. Kerosene and water are considered base fluids in both single-wall and multi-wall carbon nanotubes. After employing the appropriate similarity variables, the system of partial differential equations is transformed to a system of nonlinear ordinary differential equations. Solution of the problems is obtained numerically using the bvp4c solver in MATLAB software. The impact of physical parameters, such as solid volume fraction, stretching/shrinking parameter, homogeneous and heterogeneous reaction rate, Schmidt number on the velocity, temperature and concentration profiles, skin friction, and heat transfer rate are discussed graphically and interpreted physically. The results indicate that for an exponentially shrinking sheet, dual solutions exist for a certain range. It is clear from figures that the concentration profile increases for increasing values of heterogeneous parameter and decreasing values of homogeneous parameter. Heat transfer and skin friction were observed to have a greater impact for single-wall carbon nanotubes (SWCNTs) compared to multi-wall carbon nanotubes (MWCNTs). A stability analysis has been performed to show which solutions are linearly stable.
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spelling upm.eprints-384002020-05-04T16:28:32Z http://psasir.upm.edu.my/id/eprint/38400/ Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis Anuar, Nur Syazana Bachok @ Lati, Norfifah Md. Arifin, Norihan Rosali, Haliza This study focuses on the flow of stagnation region and heat transfer of carbon nanotubes (CNTs) over an exponentially stretching/shrinked sheet in the presence of homogeneous–heterogeneous reactions. Kerosene and water are considered base fluids in both single-wall and multi-wall carbon nanotubes. After employing the appropriate similarity variables, the system of partial differential equations is transformed to a system of nonlinear ordinary differential equations. Solution of the problems is obtained numerically using the bvp4c solver in MATLAB software. The impact of physical parameters, such as solid volume fraction, stretching/shrinking parameter, homogeneous and heterogeneous reaction rate, Schmidt number on the velocity, temperature and concentration profiles, skin friction, and heat transfer rate are discussed graphically and interpreted physically. The results indicate that for an exponentially shrinking sheet, dual solutions exist for a certain range. It is clear from figures that the concentration profile increases for increasing values of heterogeneous parameter and decreasing values of homogeneous parameter. Heat transfer and skin friction were observed to have a greater impact for single-wall carbon nanotubes (SWCNTs) compared to multi-wall carbon nanotubes (MWCNTs). A stability analysis has been performed to show which solutions are linearly stable. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38400/1/38400.pdf Anuar, Nur Syazana and Bachok @ Lati, Norfifah and Md. Arifin, Norihan and Rosali, Haliza (2019) Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis. Symmetry, 11 (4). art. no. 522. pp. 1-18. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/4/522 10.3390/sym11040522
spellingShingle Anuar, Nur Syazana
Bachok @ Lati, Norfifah
Md. Arifin, Norihan
Rosali, Haliza
Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title_full Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title_fullStr Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title_full_unstemmed Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title_short Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous–heterogeneous reaction: stability analysis
title_sort stagnation point flow and heat transfer over an exponentially stretching shrinking sheet in cnt with homogeneous heterogeneous reaction stability analysis
url http://psasir.upm.edu.my/id/eprint/38400/1/38400.pdf
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AT bachoklatinorfifah stagnationpointflowandheattransferoveranexponentiallystretchingshrinkingsheetincntwithhomogeneousheterogeneousreactionstabilityanalysis
AT mdarifinnorihan stagnationpointflowandheattransferoveranexponentiallystretchingshrinkingsheetincntwithhomogeneousheterogeneousreactionstabilityanalysis
AT rosalihaliza stagnationpointflowandheattransferoveranexponentiallystretchingshrinkingsheetincntwithhomogeneousheterogeneousreactionstabilityanalysis