Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation

We have investigated a two-dimensional radiative flow of a boundary layer nature. The fluid under consideration is carbon nanotube (CNT)-based nanofluid and it flows over a curved surface. The heat transfer through the flow is analyzed under the influence of internal heat generation. Water (base flu...

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Main Authors: Fitnat Saba, Naveed Ahmed, Saqib Hussain, Umar Khan, Syed Tauseef Mohyud-Din, Maslina Darus
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Applied Sciences
Subjects:
Online Access:http://www.mdpi.com/2076-3417/8/3/395
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spelling doaj-dd36c6b0c51a4b51a131daad1f8254872020-11-25T01:06:23ZengMDPI AGApplied Sciences2076-34172018-03-018339510.3390/app8030395app8030395Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat GenerationFitnat Saba0Naveed Ahmed1Saqib Hussain2Umar Khan3Syed Tauseef Mohyud-Din4Maslina Darus5Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt 47080, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt 47080, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanCenter for Research (CFR), University of Islamabad (UoI), Islamabad 44000, PakistanSchool of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaWe have investigated a two-dimensional radiative flow of a boundary layer nature. The fluid under consideration is carbon nanotube (CNT)-based nanofluid and it flows over a curved surface. The heat transfer through the flow is analyzed under the influence of internal heat generation. Water (base fluid) along with single or multi-walled carbon nanotubes is taken to compose the nanofluid. After introducing the suitable similarity variables, the consequent equations are reduced to a system of nonlinear ordinary differential equations. The solution to the system is computed by using the shooting method accompanied by Runge–Kutta–Fehlberg algorithm. Various parameters, emerging in the governing equations, influences the flow and heat transfer distribution. These changes are captured and portrayed in the form of graphs. The changes in local rate of heat transfer and skin friction coefficient are also enlisted. To ensure the correctness of applied numerical scheme, the results are compared with some already existing studies.http://www.mdpi.com/2076-3417/8/3/395water based nanofluidcarbon-nanotubesboundary layerheat generationthermal radiationcurved stretching sheetnumerical solution
collection DOAJ
language English
format Article
sources DOAJ
author Fitnat Saba
Naveed Ahmed
Saqib Hussain
Umar Khan
Syed Tauseef Mohyud-Din
Maslina Darus
spellingShingle Fitnat Saba
Naveed Ahmed
Saqib Hussain
Umar Khan
Syed Tauseef Mohyud-Din
Maslina Darus
Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
Applied Sciences
water based nanofluid
carbon-nanotubes
boundary layer
heat generation
thermal radiation
curved stretching sheet
numerical solution
author_facet Fitnat Saba
Naveed Ahmed
Saqib Hussain
Umar Khan
Syed Tauseef Mohyud-Din
Maslina Darus
author_sort Fitnat Saba
title Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
title_short Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
title_full Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
title_fullStr Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
title_full_unstemmed Thermal Analysis of Nanofluid Flow over a Curved Stretching Surface Suspended by Carbon Nanotubes with Internal Heat Generation
title_sort thermal analysis of nanofluid flow over a curved stretching surface suspended by carbon nanotubes with internal heat generation
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2018-03-01
description We have investigated a two-dimensional radiative flow of a boundary layer nature. The fluid under consideration is carbon nanotube (CNT)-based nanofluid and it flows over a curved surface. The heat transfer through the flow is analyzed under the influence of internal heat generation. Water (base fluid) along with single or multi-walled carbon nanotubes is taken to compose the nanofluid. After introducing the suitable similarity variables, the consequent equations are reduced to a system of nonlinear ordinary differential equations. The solution to the system is computed by using the shooting method accompanied by Runge–Kutta–Fehlberg algorithm. Various parameters, emerging in the governing equations, influences the flow and heat transfer distribution. These changes are captured and portrayed in the form of graphs. The changes in local rate of heat transfer and skin friction coefficient are also enlisted. To ensure the correctness of applied numerical scheme, the results are compared with some already existing studies.
topic water based nanofluid
carbon-nanotubes
boundary layer
heat generation
thermal radiation
curved stretching sheet
numerical solution
url http://www.mdpi.com/2076-3417/8/3/395
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AT umarkhan thermalanalysisofnanofluidflowoveracurvedstretchingsurfacesuspendedbycarbonnanotubeswithinternalheatgeneration
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