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

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• 作者：Abiodun O. Ajibade ; Ayuba M. Umar
• 关键词：Chemical reaction ; Diffusion ; Radiation absorption ; Porous materials ; Vertical channel
• 刊名：Afrika Matematika
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：27
• 期：1-2
• 页码：201-213
• 全文大小：709 KB
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  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, 121–126 (2014)CrossRef
  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), 1121–1124 (2013)CrossRef
  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, 577–582 (2013)CrossRef
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  6.Ahmad, S., Kalita, D.: Laplace technique on magnetohydrodynamic radiating and chemically reacting fluid over an infinite vertical surface. Int. J. Sci. Technol. 1, 224–233 (2012)
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• 作者单位：Abiodun O. Ajibade (1)
  Ayuba M. Umar (2)
  
  1. Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
  2. Division of Agricultural Colleges, Ahmadu Bello University, Zaria, Nigeria
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics Education
  Applications of Mathematics
  History of Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：2190-7668

文摘

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. Keywords Chemical reaction Diffusion Radiation absorption Porous materials Vertical channel