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Erschienen in: Neural Computing and Applications 10/2018

25.02.2017 | Original Article

Effect of homogeneous–heterogeneous reactions in stagnation point flow of third grade fluid past a variable thickness stretching sheet

verfasst von: Tasawar Hayat, Asmara Kiran, Maria Imtiaz, Ahmed Alsaedi

Erschienen in: Neural Computing and Applications | Ausgabe 10/2018

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Abstract

Present work addresses the stagnation point flow of third grade fluid past a variable thicked stretching sheet. Homogeneous and heterogeneous reactions are considered. Impact of thermal radiation and variable wall temperature is studied here. System of nonlinear ordinary differential equations is obtained by suitable transformations. Convergence of series solutions is achieved. Fluid flow, temperature and concentration field are deliberated through graphs for different parameters. It is seen that velocity and temperature fields increase for higher shape parameter. Increasing values of homogeneous parameter decline the concentration profile. Velocity profile enhances when wall thickness parameter and ratio of free stream velocity and stretching velocity are increased.

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Literatur
1.
Zurück zum Zitat Ramzan M, Bilal M, Chung JD (2016) Effects of MHD homogeneous–heterogeneous reactions on third grade fluid flow with Cattaneo–Christov heat flux. J Mol Liq 223:1284–1290CrossRef Ramzan M, Bilal M, Chung JD (2016) Effects of MHD homogeneous–heterogeneous reactions on third grade fluid flow with Cattaneo–Christov heat flux. J Mol Liq 223:1284–1290CrossRef
2.
Zurück zum Zitat Wang L, Jian Y, Liu Q, Li F, Chang L (2016) Electromagnetohydrodynamic flow and heat transfer of third grade fluids between two micro-parallel plates. Phys Eng Asp 494:87–94CrossRef Wang L, Jian Y, Liu Q, Li F, Chang L (2016) Electromagnetohydrodynamic flow and heat transfer of third grade fluids between two micro-parallel plates. Phys Eng Asp 494:87–94CrossRef
3.
Zurück zum Zitat Hayat T, Khan MI, Waqas M, Alsaedi A, Yasmeen T (2016) Diffusion of chemically reactive species in third grade flow over an exponentially stretching sheet considering magnetic field effects. Chin J Chem Eng. doi:10.1016/j.cjche.2016.06.008 CrossRef Hayat T, Khan MI, Waqas M, Alsaedi A, Yasmeen T (2016) Diffusion of chemically reactive species in third grade flow over an exponentially stretching sheet considering magnetic field effects. Chin J Chem Eng. doi:10.​1016/​j.​cjche.​2016.​06.​008 CrossRef
4.
Zurück zum Zitat Hussain T, Shehzad SA, Hayat T, Alsaedi A (2015) Hydromagnetic flow of third grade nanofluid with viscous dissipation and flux conditions. AIP Adv 5:087169CrossRef Hussain T, Shehzad SA, Hayat T, Alsaedi A (2015) Hydromagnetic flow of third grade nanofluid with viscous dissipation and flux conditions. AIP Adv 5:087169CrossRef
5.
Zurück zum Zitat Farooq U, Hayat T, Alsaedi A, Liao SJ (2014) Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel. Appl Math Comput 242:528–540MathSciNetMATH Farooq U, Hayat T, Alsaedi A, Liao SJ (2014) Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel. Appl Math Comput 242:528–540MathSciNetMATH
6.
Zurück zum Zitat Li SX, Jian YJ, Xie ZY, Liu QS, Li FQ (2015) Rotating electro osmotic flow of third grade fluids between two microparallel plates. Physicochem Eng Asp 470:240–247CrossRef Li SX, Jian YJ, Xie ZY, Liu QS, Li FQ (2015) Rotating electro osmotic flow of third grade fluids between two microparallel plates. Physicochem Eng Asp 470:240–247CrossRef
7.
Zurück zum Zitat Abbasbandy Hayat T (2011) On series solution for unsteady boundary layer equations in a special third grade fluid. Commun Nonlinear Sci Numer Simul 16:3140–3146MathSciNetCrossRef Abbasbandy Hayat T (2011) On series solution for unsteady boundary layer equations in a special third grade fluid. Commun Nonlinear Sci Numer Simul 16:3140–3146MathSciNetCrossRef
8.
Zurück zum Zitat Keimanesh M, Rashidi MM, Chamkha AJ, Jafari R (2011) Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method. Comput Math Appl 62:2871–2891MathSciNetCrossRef Keimanesh M, Rashidi MM, Chamkha AJ, Jafari R (2011) Study of a third grade non-Newtonian fluid flow between two parallel plates using the multi-step differential transform method. Comput Math Appl 62:2871–2891MathSciNetCrossRef
9.
Zurück zum Zitat Williams WR, Stenzel MT, Song X, Schmidt LD (1991) Bifurcation behavior in homogeneous–heterogeneous combustion: I experimental results over platinum. Combust Flame 84:277–291CrossRef Williams WR, Stenzel MT, Song X, Schmidt LD (1991) Bifurcation behavior in homogeneous–heterogeneous combustion: I experimental results over platinum. Combust Flame 84:277–291CrossRef
10.
Zurück zum Zitat Song X, Williams WR, Schmidt LD, Aris R (1991) Bifurcation behavior in homogeneous–heterogeneous combustion. Combust Flame 84:292–311CrossRef Song X, Williams WR, Schmidt LD, Aris R (1991) Bifurcation behavior in homogeneous–heterogeneous combustion. Combust Flame 84:292–311CrossRef
11.
Zurück zum Zitat Williams WR, Zhao J, Schmidt LD (1991) Ignition and extinction of surface and homogeneous oxidation of NH3 and CH4. AlChE J 37:641–649CrossRef Williams WR, Zhao J, Schmidt LD (1991) Ignition and extinction of surface and homogeneous oxidation of NH3 and CH4. AlChE J 37:641–649CrossRef
12.
Zurück zum Zitat Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneousheterogeneous reactions in boundary-layer flow. Fluid Dyn Res 16:311–333CrossRef Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneousheterogeneous reactions in boundary-layer flow. Fluid Dyn Res 16:311–333CrossRef
13.
Zurück zum Zitat Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneousheterogeneous reactions in boundary-layer flow. Fluid Dyn Res 16:335–359CrossRef Chaudhary MA, Merkin JH (1995) A simple isothermal model for homogeneousheterogeneous reactions in boundary-layer flow. Fluid Dyn Res 16:335–359CrossRef
14.
Zurück zum Zitat Merkin JH (1996) A model for isothermal homogeneous–heterogeneous reactions in boundary layer flow. Math Comput Model 24:125–136MathSciNetCrossRef Merkin JH (1996) A model for isothermal homogeneous–heterogeneous reactions in boundary layer flow. Math Comput Model 24:125–136MathSciNetCrossRef
15.
Zurück zum Zitat Hayat T, Farooq S, Ahmad B, Alsaedi A (2016) Homogeneous–heterogeneous reactions and heat source/sink effects in MHD peristaltic flow of micropolar fluid with Newtonian heating in a curved channel. J Mol Liq 223:469–488CrossRef Hayat T, Farooq S, Ahmad B, Alsaedi A (2016) Homogeneous–heterogeneous reactions and heat source/sink effects in MHD peristaltic flow of micropolar fluid with Newtonian heating in a curved channel. J Mol Liq 223:469–488CrossRef
16.
Zurück zum Zitat Khan WA, Pop I (2015) Effects of homogeneous–heterogeneous reactions on the viscoelastic fluid towards a stretching sheet. ASME J Heat Transf 134:064506CrossRef Khan WA, Pop I (2015) Effects of homogeneous–heterogeneous reactions on the viscoelastic fluid towards a stretching sheet. ASME J Heat Transf 134:064506CrossRef
17.
Zurück zum Zitat Dogonchi AS, Ganji DD (2016) Thermal radiation effect on the nanofluid buoyancy flow and heat transfer over a stretching sheet considering Brownian motion. J Mol Liq 223:521–527CrossRef Dogonchi AS, Ganji DD (2016) Thermal radiation effect on the nanofluid buoyancy flow and heat transfer over a stretching sheet considering Brownian motion. J Mol Liq 223:521–527CrossRef
18.
Zurück zum Zitat Imtiaz M, Hayat T, Alsaedi A, Ahmad B (2016) Convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects. Int J Heat Mass Transf 101:948–957CrossRef Imtiaz M, Hayat T, Alsaedi A, Ahmad B (2016) Convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects. Int J Heat Mass Transf 101:948–957CrossRef
19.
Zurück zum Zitat Bhatti MM, Rashidi MM (2016) Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq 221:567–573CrossRef Bhatti MM, Rashidi MM (2016) Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq 221:567–573CrossRef
20.
Zurück zum Zitat Sheikholeslami M, Hayat T, Alsaedi A (2016) MHD free convection of Al2O3 water nanofluid considering thermal radiation. Int J Heat Mass Transf 96:513–524CrossRef Sheikholeslami M, Hayat T, Alsaedi A (2016) MHD free convection of Al2O3 water nanofluid considering thermal radiation. Int J Heat Mass Transf 96:513–524CrossRef
21.
Zurück zum Zitat Zeeshan A, Majeed A, Ellahi R (2016) Effect of magnetic dipole on viscous ferrofluid past a stretching surface with thermal radiation. J Mol Liq 215:549–554CrossRef Zeeshan A, Majeed A, Ellahi R (2016) Effect of magnetic dipole on viscous ferrofluid past a stretching surface with thermal radiation. J Mol Liq 215:549–554CrossRef
22.
Zurück zum Zitat Crane LJ (1970) Flow past a stretching plate. J Appl Math Phys (ZAMP) 21:645–647CrossRef Crane LJ (1970) Flow past a stretching plate. J Appl Math Phys (ZAMP) 21:645–647CrossRef
23.
Zurück zum Zitat Khan JA, Mustafa M, Hayat T, Alsaedi A (2015) Three-dimensional flow of nanofluid over a non-linearly stretching sheet. Int J Heat Mass Transf 86:158–164CrossRef Khan JA, Mustafa M, Hayat T, Alsaedi A (2015) Three-dimensional flow of nanofluid over a non-linearly stretching sheet. Int J Heat Mass Transf 86:158–164CrossRef
24.
Zurück zum Zitat Hayat T, Asad S, Mustafa M, Alsaedi A (2015) MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Comput Fluids 108:179–185MathSciNetCrossRef Hayat T, Asad S, Mustafa M, Alsaedi A (2015) MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Comput Fluids 108:179–185MathSciNetCrossRef
25.
Zurück zum Zitat Li J, Zheng L, Liu L (2016) MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo–Christov heat flux effects. J Mol Liq 221:19–25CrossRef Li J, Zheng L, Liu L (2016) MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo–Christov heat flux effects. J Mol Liq 221:19–25CrossRef
26.
Zurück zum Zitat Zhang Y, Zhang M, Bai Y (2016) Flow and heat transfer of an Oldroyd-B nanofluid thin film over an unsteady stretching sheet. J Mol Liq 220:665–670CrossRef Zhang Y, Zhang M, Bai Y (2016) Flow and heat transfer of an Oldroyd-B nanofluid thin film over an unsteady stretching sheet. J Mol Liq 220:665–670CrossRef
27.
Zurück zum Zitat Mahmood A, Chen B, Ghaffari A (2016) Hydromagnetic Hiemenz flow of micropolar fluid over a nonlinearly stretching/shrinking sheet. J Magn Magn Mater 416:329–334CrossRef Mahmood A, Chen B, Ghaffari A (2016) Hydromagnetic Hiemenz flow of micropolar fluid over a nonlinearly stretching/shrinking sheet. J Magn Magn Mater 416:329–334CrossRef
28.
Zurück zum Zitat Majeed A, Zeeshan A, Ellahi R (2016) Unsteady ferromagnetic liquid flow and heat transfer analysis over a stretching sheet with the effect of dipole and prescribed heat flux. J Mol Liq 223:528–533CrossRef Majeed A, Zeeshan A, Ellahi R (2016) Unsteady ferromagnetic liquid flow and heat transfer analysis over a stretching sheet with the effect of dipole and prescribed heat flux. J Mol Liq 223:528–533CrossRef
29.
Zurück zum Zitat Nawaz M, Zeeshan A, Ellahi R, Abbasbandy Rashidi S (2015) Joule and Newtonian heating effects on stagnation point flow overa stretching sheet by means of genetic algorithm and Nelder–Mead method. Int J Numer Methods Heat Fluid Flow 25:665–684CrossRef Nawaz M, Zeeshan A, Ellahi R, Abbasbandy Rashidi S (2015) Joule and Newtonian heating effects on stagnation point flow overa stretching sheet by means of genetic algorithm and Nelder–Mead method. Int J Numer Methods Heat Fluid Flow 25:665–684CrossRef
30.
Zurück zum Zitat Maqbool K, Sohail A, Manzoor N, Ellahi R (2016) Hall effect on Falkner–Skan boundary layer flow of FENE-P fluid over a stretching sheet. Commun Theor Phys 66:547–554MathSciNetCrossRef Maqbool K, Sohail A, Manzoor N, Ellahi R (2016) Hall effect on Falkner–Skan boundary layer flow of FENE-P fluid over a stretching sheet. Commun Theor Phys 66:547–554MathSciNetCrossRef
31.
Zurück zum Zitat Arqub OA, Ajou AEl (2013) Solution of the fractional epidemic model by homotopy analysis method. J King Saud Univ Sci 25(1):73–81CrossRef Arqub OA, Ajou AEl (2013) Solution of the fractional epidemic model by homotopy analysis method. J King Saud Univ Sci 25(1):73–81CrossRef
32.
Zurück zum Zitat Abbasbandy S, Yurusoy M, Gulluce H (2014) Analytical solutions of non-linear equations of power-law fluids of second grade over an infinite porous plate. Math Comput Appl 19(2):124MathSciNet Abbasbandy S, Yurusoy M, Gulluce H (2014) Analytical solutions of non-linear equations of power-law fluids of second grade over an infinite porous plate. Math Comput Appl 19(2):124MathSciNet
33.
Zurück zum Zitat Sui J, Zheng L, Zhang X, Chen G (2015) Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. Int J Heat Mass Transf 85:1023–1033CrossRef Sui J, Zheng L, Zhang X, Chen G (2015) Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. Int J Heat Mass Transf 85:1023–1033CrossRef
34.
Zurück zum Zitat Ellahi R, Hassan M, Zeeshan A (2015) Shape effects of nanosize particles in Cu–H2O nanofluid on entropy generation. Int J Heat Mass Transf 81:449–456CrossRef Ellahi R, Hassan M, Zeeshan A (2015) Shape effects of nanosize particles in Cu–H2O nanofluid on entropy generation. Int J Heat Mass Transf 81:449–456CrossRef
35.
Zurück zum Zitat Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based mathematica package BVPh 2.0 on MHD Falkner–Skan flow of nanofluid. Comput Fluids 111:69–75MathSciNetCrossRef Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based mathematica package BVPh 2.0 on MHD Falkner–Skan flow of nanofluid. Comput Fluids 111:69–75MathSciNetCrossRef
36.
Zurück zum Zitat Hayat T, Qayyum S, Imtiaz M, Alsaedi A (2016) Impact of Cattaneo–Christov heat flux model on Jeffrey fluid flow with homogeneous–heterogeneous reaction. PLoS ONE 11:e0148662CrossRef Hayat T, Qayyum S, Imtiaz M, Alsaedi A (2016) Impact of Cattaneo–Christov heat flux model on Jeffrey fluid flow with homogeneous–heterogeneous reaction. PLoS ONE 11:e0148662CrossRef
37.
Zurück zum Zitat Shehzad SA, Hayat T, Alsaedi A, Chen B (2016) A useful model for solar radiation. Energy Ecol Environ 1:30–38CrossRef Shehzad SA, Hayat T, Alsaedi A, Chen B (2016) A useful model for solar radiation. Energy Ecol Environ 1:30–38CrossRef
Metadaten
Titel
Effect of homogeneous–heterogeneous reactions in stagnation point flow of third grade fluid past a variable thickness stretching sheet
verfasst von
Tasawar Hayat
Asmara Kiran
Maria Imtiaz
Ahmed Alsaedi
Publikationsdatum
25.02.2017
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 10/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-2913-z

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