Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation

An investigation has been done on the hybrid nanofluid slip flow in the existence of heat generation over an exponentially stretching/shrinking permeable sheet. Hybridization of alumina and copper with water as the base fluid is considered. The mathematical model is simplified through the similarity...

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Main Authors: Nur Syahirah Wahid, Norihan Md Arifin, Najiyah Safwa Khashi'ie, Ioan Pop
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/1/30
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spelling doaj-23dbf95a2f4d40b2b93ee34c70d989762020-12-25T00:03:56ZengMDPI AGMathematics2227-73902021-12-019303010.3390/math9010030Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat GenerationNur Syahirah Wahid0Norihan Md Arifin1Najiyah Safwa Khashi'ie2Ioan Pop3Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, Serdang 43400, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, Serdang 43400, Selangor, MalaysiaFakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, Melaka 76100, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, RomaniaAn investigation has been done on the hybrid nanofluid slip flow in the existence of heat generation over an exponentially stretching/shrinking permeable sheet. Hybridization of alumina and copper with water as the base fluid is considered. The mathematical model is simplified through the similarity transformation. A numerical solver named bvp4c in Matlab software is utilized to facilitate the problem-solving process and dual solutions are attained. The influences of several pertinent parameters on the main physical quantities of interest and the profiles are scrutinized and presented in the form of graphs. Through the stability analysis, only the first solution is considered as the physical solution. As such, the findings conclude that the upsurges of volume fraction on the copper nanoparticle could enhance the skin friction coefficient and the local Nusselt number.https://www.mdpi.com/2227-7390/9/1/30stretching/shrinkingdual solutionshybrid nanofluidslipheat generationstability analysis
collection DOAJ
language English
format Article
sources DOAJ
author Nur Syahirah Wahid
Norihan Md Arifin
Najiyah Safwa Khashi'ie
Ioan Pop
spellingShingle Nur Syahirah Wahid
Norihan Md Arifin
Najiyah Safwa Khashi'ie
Ioan Pop
Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
Mathematics
stretching/shrinking
dual solutions
hybrid nanofluid
slip
heat generation
stability analysis
author_facet Nur Syahirah Wahid
Norihan Md Arifin
Najiyah Safwa Khashi'ie
Ioan Pop
author_sort Nur Syahirah Wahid
title Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
title_short Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
title_full Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
title_fullStr Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
title_full_unstemmed Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation
title_sort hybrid nanofluid slip flow over an exponentially stretching/shrinking permeable sheet with heat generation
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-12-01
description An investigation has been done on the hybrid nanofluid slip flow in the existence of heat generation over an exponentially stretching/shrinking permeable sheet. Hybridization of alumina and copper with water as the base fluid is considered. The mathematical model is simplified through the similarity transformation. A numerical solver named bvp4c in Matlab software is utilized to facilitate the problem-solving process and dual solutions are attained. The influences of several pertinent parameters on the main physical quantities of interest and the profiles are scrutinized and presented in the form of graphs. Through the stability analysis, only the first solution is considered as the physical solution. As such, the findings conclude that the upsurges of volume fraction on the copper nanoparticle could enhance the skin friction coefficient and the local Nusselt number.
topic stretching/shrinking
dual solutions
hybrid nanofluid
slip
heat generation
stability analysis
url https://www.mdpi.com/2227-7390/9/1/30
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AT najiyahsafwakhashiie hybridnanofluidslipflowoveranexponentiallystretchingshrinkingpermeablesheetwithheatgeneration
AT ioanpop hybridnanofluidslipflowoveranexponentiallystretchingshrinkingpermeablesheetwithheatgeneration
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