Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

doi:10.1007/s10483-015-1981-9

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (10): 1319-1328.doi: https://doi.org/10.1007/s10483-015-1981-9

Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

M. FAROOQ¹, A. ALSAEDI², T. HAYAT^1,2

1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2014-10-16 修回日期:2015-02-08 出版日期:2015-10-01 发布日期:2015-10-01
通讯作者: M. FAROOQ E-mail:hfarooq99@yahoo.com

Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

M. FAROOQ¹, A. ALSAEDI², T. HAYAT^1,2

1. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2014-10-16 Revised:2015-02-08 Online:2015-10-01 Published:2015-10-01
Contact: M. FAROOQ E-mail:hfarooq99@yahoo.com

摘要/Abstract

摘要：

This letter describes the characteristics of homogeneous-heterogeneous reaction in the boundary layer flow of a Jeffrey fluid due to an impermeable horizontal stretching sheet. An analysis is carried out through the similar values of reactant and auto catalyst diffusion coefficients. Heat released by the reaction is not accounted. The exact solution for the flow of the Jeffrey fluid is constructed. The series solution for the concentration equation is derived. The velocity and concentration fields reflecting the impact of interesting parameters are plotted and examined.

关键词: homogeneous-heterogeneous reaction, stretching sheet, Jeffrey fluid

Abstract:

Key words: stretching sheet, homogeneous-heterogeneous reaction, Jeffrey fluid

中图分类号:

O361.3

M. FAROOQ, A. ALSAEDI, T. HAYAT. Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1319-1328.

参考文献

[1] Shehzad, S. A., Alsaedi, A., and Hayat, T. Hydromagnetic steady flow of Maxwell fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux. PLOS ONE, 8, e68139(2013)
[2] Li, C., Zheng, L., Zhang, Y., Ma, L., and Zhang, X. Helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium. Communications in Nonlinear Science and Numerical Simulation, 17, 5026-5041(2012)
[3] Liu, Y., Zheng, L., and Zhang, X. MHD flow and heat transfer of a generalized Burgers' fluid due to an exponential accelerating plate with the effect of radiation. Computers and Mathematics with Applications, 62, 3123-3131(2011)
[4] Mukhopadhyay, S. Heat transfer analysis of the unsteady flow of a Maxwell fluid over a stretching surface in the presence of a heat source/sink. Chinese Physics Letter, 29, 054703(2012)
[5] Niu, J., Fu, C., and Tan, W. Slip-flow and heat transfer of a non-Newtonian nanofluid in a microtube. PLOS ONE, 7, e37274(2012)
[6] Williams, W. R., Zhao, J., and Schmidt, L. D. Ignition and extinction of surface and homogeneous oxidation of NH₃ and CH₄. American Institute of Chemical Engineers Journal, 37, 641-649(1991)
[7] Song, X.,Williams, W. R., Schmidt, L. D., and Aris, R. Bifurcation behaviour in homogeneousheterogeneous combusion, II, computations for stagnation-point flow. Combust Flame, 84, 292-311(1991)
[8] Chaudhary, M. A. and Merkin, J. H. A simple isothermal model for homogeneous-heterogeneous reactions in boundary layer flow, I. equal diffusivities. Fluid Dynamics Research, 16, 311-333(1995)
[9] Khan, W. A. and Pop, I. Flow near the two-dimensional stagnation point on an infinite permeable wall with a homogeneous-heterogeneous reaction. Communications in Nonlinear Science and Numerical Simulation, 15, 3435-3443(2010)
[10] Liao, S. Homotopy Analysis Method in Nonlinear Differential Equations, Springer & Higher Education Press, Berlin (2012)
[11] Maleki, M., Tonekaboni, S. A. M., and Abbasbandy, S. A homotopy analysis solution to large deformation of beams under static arbitrary distributed load. Applied Mathematical Modelling, 38, 355-368(2014)
[12] Si, X. H., Zheng, L. C., Zhang, X. X., and Si, X. Y. Homotopy analysis method for the asymmetric laminar flow and heat transfer of viscous fluid between contracting rotating disks. Applied Mathematical Modelling, 36, 1806-1820(2012)
[13] Hayat, T., Awais, M., and Obaidat, S. Three-dimensional flow of a Jeffery fluid over a linearly stretching sheet. Communications in Nonlinear Science and Numerical Simulation, 17, 699-707(2012)
[14] Rashidi, M. M., Beg, O. A., Rastegari, M. T., and Mehmood, A. Homotopy study of buoyancyinduced flow of non-Newtonian fluids over a non-isothermal surface in a porous medium. International Journal of Applied Mathematics and Mechanics, 8, 34-52(2012)
[15] Turkyilmazoglu, M. Solution of the Thomas-Fermi equation with a convergent approach. Communications in Nonlinear Science and Numerical Simulation, 17, 4097-4103(2012)
[16] Alsaedi, A., Iqbal, Z., Mustafa, M., and Hayat, T. Exact solutions for the magnetohydrodynamic flow of a Jeffery fluid with convective boundary conditions and chemical reaction. Zeitschrift für Naturforschung A, 67, 517-524(2012)

Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid

PDF

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	S. NADEEM, S. AKHTAR, A. SALEEM. Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(4): 583-592.
[2]	B. J. GIREESHA, B. NAGARAJA, S. SINDHU, G. SOWMYA. Consequence of exponential heat generation on non-DarcyForchheimer flow of water based carbon nanotubes driven by a curved stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1723-1734.
[3]	M. IMTIAZ, F. SHAHID, T. HAYAT, A. ALSAEDI. Melting heat transfer in Cu-water and Ag-water nanofluids flow with homogeneous-heterogeneous reactions[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(4): 465-480.
[4]	A. M. MEGAHED. Carreau fluid flow due to nonlinearly stretching sheet with thermal radiation, heat flux, and variable conductivity[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(11): 1615-1624.
[5]	T. HAYAT, S. QAYYUM, M. IMTIAZ, A. ALSAEDI. Jeffrey fluid flow due to curved stretching surface with Cattaneo-Christov heat flux[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1173-1186.
[6]	M. M. KHADER. Approximate solutions for the problem of liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 867-876.
[7]	G. S. SETH, R. TRIPATHI, M. K. MISHRA. Hydromagnetic thin film flow of Casson fluid in non-Darcy porous medium with Joule dissipation and Navier's partial slip[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(11): 1613-1626.
[8]	S. A. SHEHZAD, F. M. ABBASI, T. HAYAT, B. AHMAD. Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 761-768.
[9]	T. HAYAT, M. IMTIAZ, A. ALSAEDI. Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(5): 573-582.
[10]	Yanhai LIN, Liancun ZHENG, Lianxi MA. Heat transfer characteristics of thin power-law liquid films over horizontal stretching sheet with internal heating and variable thermal coefficient[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(12): 1587-1596.
[11]	A. NOGHREHABADI;P. SALAMAT;M. GHALAMBAZ. Integral treatment for forced convection heat and mass transfer of nanofluids over linear stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 337-352.
[12]	T. HAYAT, M. IMTIAZ, A. ALSAEDI. Partial slip effects in flow over nonlinear stretching surface[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(11): 1513-1526.
[13]	A. M. MEGAHED. Effect of slip velocity on Casson thin film flow and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1273-1284.
[14]	R. RAVINDRAN, N. SAMYUKTHA. Unsteady mixed convection flow over stretching sheet in presence of chemical reaction and heat generation or absorption with non-uniform slot suction or injection[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(10): 1253-1272.
[15]	F. M. ALI R. NAZAR N. M. ARIFIN I.POP. Mixed convection stagnation-point flow on vertical stretching sheet with external magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(2): 155-166.