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Published in: Microsystem Technologies 4/2019

13-10-2018 | Technical Paper

Analysis of non-linear radiative stagnation point flow of Carreau fluid with homogeneous-heterogeneous reactions

Authors: T. Hayat, Ikram Ullah, M. Farooq, A. Alsaedi

Published in: Microsystem Technologies | Issue 4/2019

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Abstract

Current work focuses on stagnation point flow of MHD Carreau fluid with heterogeneous–homogeneous reactions. Non-linear stretched sheet of variable thickness is the main agent for flow induction. Liquid is assumed an electrically conducted. Nonlinear thermal radiation and heat generation/absorption aspects are addressed. Proper transformations lead to dimensionless the governing problem. Resultant systems are tackled numerically via NDSolve based Shooting scheme. Importance of emerging variables is addressed through graphical illustrations. Tables regarding the estimations of skin friction and rate of heat transfer are computed and examined for various physical variables. It is found that convective and radiation variables improve the liquid temperature. Obtained outcomes are also compared in limiting way and found an excellent agreement.

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Literature
go back to reference Abbasi FM, Shehzad SA, Hayat T, Ahmad B (2016) Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater 404:159–165CrossRef Abbasi FM, Shehzad SA, Hayat T, Ahmad B (2016) Doubly stratified mixed convection flow of Maxwell nanofluid with heat generation/absorption. J Magn Magn Mater 404:159–165CrossRef
go back to reference Bhattacharyya K (2011) Boundary layer flow and heat transfer over an exponentially shrinking sheet. Chin Phys Lett 28:074701CrossRef Bhattacharyya K (2011) Boundary layer flow and heat transfer over an exponentially shrinking sheet. Chin Phys Lett 28:074701CrossRef
go back to reference Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneous-heterogeneous reactions in boundary layer flow: I equal diffusivities. Fluid Dyn Res 16:311–333MathSciNetCrossRefMATH Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneous-heterogeneous reactions in boundary layer flow: I equal diffusivities. Fluid Dyn Res 16:311–333MathSciNetCrossRefMATH
go back to reference Crane LJ (1970) Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik ZAMP 21:645CrossRef Crane LJ (1970) Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik ZAMP 21:645CrossRef
go back to reference Fang T, Zhang JI, Zhong Y (2012) Boundary layer flow over a stretching sheet with variable thickness. Appl Math Comp 218:7241–7252MathSciNetCrossRefMATH Fang T, Zhang JI, Zhong Y (2012) Boundary layer flow over a stretching sheet with variable thickness. Appl Math Comp 218:7241–7252MathSciNetCrossRefMATH
go back to reference Farooq M, Alsaedi A, Hayat T (2015) Note on characteristics of homogeneousheterogeneous reaction in flow of Jeffrey fluid. Appl Math Mech 36(10):1319–1328 (English edition) MathSciNetCrossRefMATH Farooq M, Alsaedi A, Hayat T (2015) Note on characteristics of homogeneousheterogeneous reaction in flow of Jeffrey fluid. Appl Math Mech 36(10):1319–1328 (English edition) MathSciNetCrossRefMATH
go back to reference Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744–746CrossRef Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744–746CrossRef
go back to reference Hayat T, Imtiaz M, Almezal S (2015a) Modeling and analysis for three-dimensional flow with homogeneous–heterogeneous reactions. AIP Adv 5:107209CrossRef Hayat T, Imtiaz M, Almezal S (2015a) Modeling and analysis for three-dimensional flow with homogeneous–heterogeneous reactions. AIP Adv 5:107209CrossRef
go back to reference Hayat T, Farooq M, Alsaedi A (2015b) Homogeneous–heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating. AIP Adv 5:027130CrossRef Hayat T, Farooq M, Alsaedi A (2015b) Homogeneous–heterogeneous reactions in the stagnation point flow of carbon nanotubes with Newtonian heating. AIP Adv 5:027130CrossRef
go back to reference Hayat T, Farooq M, Alsaedi A, Al-Solamy F (2015c) Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness. AIP Adv 5:087159CrossRef Hayat T, Farooq M, Alsaedi A, Al-Solamy F (2015c) Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness. AIP Adv 5:087159CrossRef
go back to reference Hayat T, Ullah I, Muhammad T, Alsaedi A (2016a) Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface. J Mol Liq 220:1004–1012CrossRef Hayat T, Ullah I, Muhammad T, Alsaedi A (2016a) Magnetohydrodynamic (MHD) three-dimensional flow of second grade nanofluid by a convectively heated exponentially stretching surface. J Mol Liq 220:1004–1012CrossRef
go back to reference Hayat T, Ullah I, Muhammad T, Alsaedi A, Shehzad SA (2016b) Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions. Chin Phys B 25:074701CrossRef Hayat T, Ullah I, Muhammad T, Alsaedi A, Shehzad SA (2016b) Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions. Chin Phys B 25:074701CrossRef
go back to reference Hayat T, Abbas T, Ayub M, Farooq M, Alsaedi A (2016c) Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liq 222:854–862CrossRef Hayat T, Abbas T, Ayub M, Farooq M, Alsaedi A (2016c) Flow of nanofluid due to convectively heated Riga plate with variable thickness. J Mol Liq 222:854–862CrossRef
go back to reference Hayat T, Ullah I, Alsaedi A, Ahmad B (2017a) Radiative flow of Carreau liquid in presence of Newtonian heating and chemical reaction. Result Phys 7(7):15–722 Hayat T, Ullah I, Alsaedi A, Ahmad B (2017a) Radiative flow of Carreau liquid in presence of Newtonian heating and chemical reaction. Result Phys 7(7):15–722
go back to reference Hayat T, Ullah I, Alsaedi A, Ahmad B (2017b) Modeling tangent hyperbolic nanoliquid flow with heat and mass flux conditions. Eur Phys J Plus 132:112CrossRef Hayat T, Ullah I, Alsaedi A, Ahmad B (2017b) Modeling tangent hyperbolic nanoliquid flow with heat and mass flux conditions. Eur Phys J Plus 132:112CrossRef
go back to reference Hayat T, Ullah I, Alsaedi A, Farooq M (2017c) MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness. Result Phys 7:189–196CrossRef Hayat T, Ullah I, Alsaedi A, Farooq M (2017c) MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness. Result Phys 7:189–196CrossRef
go back to reference Hayat T, Khan MI, Waqas M, Alsaedi A (2017d) Mathematical modeling of non-Newtonian fluid with chemical aspects: a new formulation and results by numerical technique. Coll Surf A Physicochem Eng Asp 518:263–272CrossRef Hayat T, Khan MI, Waqas M, Alsaedi A (2017d) Mathematical modeling of non-Newtonian fluid with chemical aspects: a new formulation and results by numerical technique. Coll Surf A Physicochem Eng Asp 518:263–272CrossRef
go back to reference Hayat T, Ullah I, Alsaedi A, Ahmad B (2018a) Numerical simulation for homogeneous–heterogeneous reactions in flow of Sisko fluid. J Br Soc Mech Sci Eng 40:73CrossRef Hayat T, Ullah I, Alsaedi A, Ahmad B (2018a) Numerical simulation for homogeneous–heterogeneous reactions in flow of Sisko fluid. J Br Soc Mech Sci Eng 40:73CrossRef
go back to reference Hayat T, Ullah I, Alsaedi A, Ahmad B (2018c) Simultaneous effects of non-linear mixed convection and radiative flow due to Riga-plate with double stratification. J Heat Transf 140:102008CrossRef Hayat T, Ullah I, Alsaedi A, Ahmad B (2018c) Simultaneous effects of non-linear mixed convection and radiative flow due to Riga-plate with double stratification. J Heat Transf 140:102008CrossRef
go back to reference Hayat T, Ullah I, Alsaedi A, Asghar S (2018e) Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratification. Radiat Phys Chem 152:151–157CrossRef Hayat T, Ullah I, Alsaedi A, Asghar S (2018e) Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratification. Radiat Phys Chem 152:151–157CrossRef
go back to reference Ibrahim W, Shankar B, Nandeppanavar MM (2013) MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transf 56:1–9CrossRef Ibrahim W, Shankar B, Nandeppanavar MM (2013) MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheet. Int J Heat Mass Transf 56:1–9CrossRef
go back to reference Khan WA, Pop I (2015) Effects of homogeneous–heterogeneous reactions on the viscoelastic fluid towards a stretching sheet. J Heat Transf ASME 134:064506CrossRef Khan WA, Pop I (2015) Effects of homogeneous–heterogeneous reactions on the viscoelastic fluid towards a stretching sheet. J Heat Transf ASME 134:064506CrossRef
go back to reference Mahanthesh B, Gireesha BJ, Reddy Gorla RS, Abbasi FM, Shehzad SA (2016) Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J Magn Magn Mater 417:189–196CrossRef Mahanthesh B, Gireesha BJ, Reddy Gorla RS, Abbasi FM, Shehzad SA (2016) Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J Magn Magn Mater 417:189–196CrossRef
go back to reference Malvandi A, Hedayati F, Ganji D (2014) Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. Powder Technol 253:377–384CrossRef Malvandi A, Hedayati F, Ganji D (2014) Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. Powder Technol 253:377–384CrossRef
go back to reference Meraj MA, Shehzad SA, Hayat T, Abbasi FM, Alsaedi A (2017) Darcy-Forchheimer flow of variable conductivity Jeffrey liquid with Cattaneo-Christov heat flux theory. Appl Math Mech 38:557–566 (English edition) MathSciNetCrossRef Meraj MA, Shehzad SA, Hayat T, Abbasi FM, Alsaedi A (2017) Darcy-Forchheimer flow of variable conductivity Jeffrey liquid with Cattaneo-Christov heat flux theory. Appl Math Mech 38:557–566 (English edition) MathSciNetCrossRef
go back to reference Sakiadis BC (1961) Boundary layer behavior on continuous solid surfaces. Am Inst Chem Eng 7:26–28CrossRef Sakiadis BC (1961) Boundary layer behavior on continuous solid surfaces. Am Inst Chem Eng 7:26–28CrossRef
go back to reference Shehzad SA, Hussain T, Hayat T, Ramzan M, Alsaedi A (2015) Boundary layer flow of third grade nanofluid with Newtonian heating and viscous dissipation. J Central South Univ 22:360–367CrossRef Shehzad SA, Hussain T, Hayat T, Ramzan M, Alsaedi A (2015) Boundary layer flow of third grade nanofluid with Newtonian heating and viscous dissipation. J Central South Univ 22:360–367CrossRef
go back to reference Sheikholeslami M, Shehzad SA (2017) Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. Int J Heat Mass Transf 109:82–92CrossRef Sheikholeslami M, Shehzad SA (2017) Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. Int J Heat Mass Transf 109:82–92CrossRef
go back to reference Shufrin I, Eisenberger M (2005) Stability of veriable thickness shear deformable plates first order and higher order analysis. Thin Walled Struct 43:189–207CrossRefMATH Shufrin I, Eisenberger M (2005) Stability of veriable thickness shear deformable plates first order and higher order analysis. Thin Walled Struct 43:189–207CrossRefMATH
go back to reference Subhashini SV, Sumathi R, Popb I (2013) Dual solutions in a thermal diffusive flow over a stretching sheet with variable thickness. Int Commun Heat Mass Transf 48:61–66CrossRef Subhashini SV, Sumathi R, Popb I (2013) Dual solutions in a thermal diffusive flow over a stretching sheet with variable thickness. Int Commun Heat Mass Transf 48:61–66CrossRef
go back to reference Turkyilmazoglu M (2011) Multiple solutions of hydromagnetic permeable flow and heat for viscoelastic fluid. J Thermophys Heat Transfer 25:595–605CrossRef Turkyilmazoglu M (2011) Multiple solutions of hydromagnetic permeable flow and heat for viscoelastic fluid. J Thermophys Heat Transfer 25:595–605CrossRef
go back to reference Zhu J, Wang S, Zheng L, Zhang X (2017) Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity. Appl Math Mech 38(1):125–136 (English edition) MathSciNetCrossRef Zhu J, Wang S, Zheng L, Zhang X (2017) Heat transfer of nanofluids considering nanoparticle migration and second-order slip velocity. Appl Math Mech 38(1):125–136 (English edition) MathSciNetCrossRef
Metadata
Title
Analysis of non-linear radiative stagnation point flow of Carreau fluid with homogeneous-heterogeneous reactions
Authors
T. Hayat
Ikram Ullah
M. Farooq
A. Alsaedi
Publication date
13-10-2018
Publisher
Springer Berlin Heidelberg
Published in
Microsystem Technologies / Issue 4/2019
Print ISSN: 0946-7076
Electronic ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-018-4157-y

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