Effect of chemical reaction and radiation absorption on the unsteady MHD free convection Couette flow in a vertical channel filled with porous materials

被引：18
作者：
Ajibade A.O. [1 ]
Umar A.M. [2 ]
机构：
[1] Department of Mathematics, Ahmadu Bello University, Zaria
[2] Division of Agricultural Colleges, Ahmadu Bello University, Zaria
来源：
Afrika Matematika | 2016年 / 27卷 / 1-2期
关键词：
Chemical reaction; Diffusion; Porous materials; Radiation absorption; Vertical channel;
D O I：
10.1007/s13370-015-0334-7
中图分类号：
学科分类号：
摘要：
This paper deals with effect of chemical reaction and radiation absorption on the unsteady MHD natural convection flow in a vertical channel filled with porous materials. One of the plate moves with a constant velocity in the direction of fluid flow while the other plate is stationary. A uniform magnetic field acts perpendicular to the porous plate, which absorbs the fluid with a suction velocity varying with time. The dimensionless governing equations for this problem are solved analytically using two-term harmonic and non-harmonic perturbation series method. The results of the analytical solutions for velocity, temperature and concentration profiles of both phases are graphically presented and discussed. It is noteworthy to mention that growing permeability and channel width parameter lead to increase in the fluid velocity profile. Results in the present work have been compared with other works in literature and an excellent agreement is found. © 2015, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：201 / 213
页数：12
相关论文
共 19 条
  • [1] Makinde O.D., Khan W.A., Khan Z.H., Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet, Int. J. Heat Mass Transf., 62, pp. 526-533, (2013)
  • [2] Nadeem S., Rizwan U.H., Khan Z.H., Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles, J. Taiwan Inst. Chem. Eng., 45, pp. 121-126, (2014)
  • [3] Akbar N.S., Nadeem S., Haq R.U., Khan Z.H., Numerical solutions of magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet, Indian J. Phys., 87, 11, pp. 1121-1124, (2013)
  • [4] Nadeem S., Rizwan U.H., Noreen S.A., Khan Z.H., MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet, Alex. Eng. J., 52, pp. 577-582, (2013)
  • [5] Sudershan G., Ramana Reddy G.V., Reddy K.J., Radiation and chemical reaction effects on free convection MHD flow through a porous medium bounded by vertical surface, Adv. Appl. Sci. Res., 3, pp. 1603-1610, (2012)
  • [6] Ahmad S., Kalita D., Laplace technique on magnetohydrodynamic radiating and chemically reacting fluid over an infinite vertical surface, Int. J. Sci. Technol., 1, pp. 224-233, (2012)
  • [7] Muthucumaraswamy R., Ganesan P., Effect of the chemical reaction and injection on flow characteristics in an unsteady upward motion of an isothermal plate, J. Appl. Mech. Tech. Phys., 42, pp. 665-671, (2001)
  • [8] Dulal P., Babulal T., Combined effects of Joule heating and chemical reaction on unsteady magnetohydrodynamic mixed convection of a viscous dissipating fluid over a vertical plate in porous media with thermal radiation, Math. Comput. Model., 54, pp. 3016-3036, (2011)
  • [9] Patil P.M., Kulkarmi P.S., Effects of chemical reaction on free convective flow for a polar fluid through a porous medium in the presence of internal heat generation, Int. J. Thermal Sci., 47, pp. 1043-1054, (2008)
  • [10] Kesavaiah D.C., Satyanarayana P.V., Venkataramana S., Radiation absorption, chemical reaction and magnetic field effects on the free convection and mass transfer flow through porous medium with constant heat flux, Int. J. Sci. Eng. Technol., 1, pp. 274-284, (2012)
12