Free convection flow with chemical reaction effect between oscillating parallel plates

Authors

  • F. Zulkiflee Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia.
  • S. Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia.
  • A. Ali Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia.
  • A.Q. Mohamad Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia.

Keywords:

Parallel plates , Oscillating plates, Free convection, Chemical reaction , Mass diffusion

Abstract

This research purpose is to investigate the exact solutions for unsteady free convection flow between oscillating parallel plates with mass diffusion and chemical reaction. The governing equations are modelled and reduced using non-dimensional variables. The method used is Laplace transform method. Solutions for velocity, temperature, and concentration fields as well as skin friction, Nusselt and Sherwood number are obtained. For physical understanding, analytical results for velocity, temperature and concentration profile are plotted graphically with respect to the Schmidt number, Prandtl number, oscillating parameter, Grashof number, mass Grashof number and chemical reaction parameter. Increasing Prandtl number and Schmidt number decreases the concentration, velocity, temperature, and skin friction but increases the Sherwood and Nusselt numbers.

References

Sasikumar J, Govindarajan A. Free convective MHD oscillatory flow past parallel plates in a porous medium with heat source and chemical reaction. International Journal of Scientific & Engineering Research. 2015;6:266-270.

Yan WM, Lin TF. Effects of wetted wall on natural convection heat transfer between vertical parallel plates. Wärme-und Stoffübertragung. 1988 Sep;23(5):259-66.

Rajput US, Sahu PK. Transient free convection MHD flow between two long vertical parallel plates with constant temperature and variable mass diffusion. Journal of Math. Analysis. 2011;34(5):1665-71.

Vocale P, Pagliarini L, Spiga M. Transient free convection in open-ended vertical channels. Journal of Physics: Conference Series. 2021;1868(1):012006.

Narahari M. Transient free convection flow between long vertical parallel plates with ramped wall temperature at one boundary in the presence of thermal radiation and constant mass diffusion. Meccanica. 2012 Nov;47:1961-76.

Jha BK, Ajibade AO. Free convection heat and mass transfer flow in a vertical channel with the Dufour effect. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2010 May 1;224(2):91-101.

Narahari M, Kamran M. MHD natural convection flow past an impulsively started infinite vertical porous plate with Newtonian heating in the presence of radiation. International Journal of Numerical Methods for Heat & Fluid Flow. 2016 Aug 1;26(6):1932-53.

Narahari M. Transient free convection flow between long vertical parallel plates with ramped wall temperature at one boundary in the presence of thermal radiation and constant mass diffusion. Meccanica. 2012 Nov;47:1961-76.

Rajput US, Sahu PK. Transient free convection MHD flow between two long vertical parallel plates with constant temperature and variable mass diffusion. Journal of Math. Analysis. 2011;34(5):1665-71.

Alagoa KD, Tay G, Abbey TM. Radiative and free convective effects of a MHD flow through a porous medium between infinite parallel plates with time-dependent suction. Astrophysics and Space Science. 1998 Dec;260:455-68.

Singh AK. Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field. SpringerPlus. 2015;4(1):1-13.

Falade JA, Ukaegbu JC, Egere AC, Adesanya SO. MHD oscillatory flow through a porous channel saturated with porous medium. Alexandria Engineering Journal. 2017 Mar 1;56(1):147-52.

Hajizadeh A, Shah NA, Shah SI, Animasaun IL, Rahimi-Gorji M, Alarifi IM. Free convection flow of nanofluids between two vertical plates with damped thermal flux. Journal of Molecular Liquids. 2019 Sep 1;289:110964.

Hussanan A, Anwar MI, Ali F, Khan I, Shafie S. Natural convection flow past an oscillating plate with Newtonian heating. Heat Transfer Research. 2014;45(2).

Chandrakala P. Radiation effects on flow past an impulsively started vertical oscillating plate with uniform heat flux. International Journal of Dynamics of Fluids. 2011 Jun 1;7(1):1-8.

Chen Y, Luo E, Dai W. Heat transfer characteristics of oscillating flow regenerator filled with circular tubes or parallel plates. Cryogenics. 2007 Jan 1;47(1):40-8.

Narahari M, Tippa S, Pendyala R, Fetecau C. Soret, heat generation, radiation and porous effects on MHD free convection flow past an infinite plate with oscillating temperature. Journal of Thermal Analysis and Calorimetry. 2021 Feb;143:2525-43.

Sasikumar J. Effect of Heat and Mass Transfer on Unsteady Convective MHD Couttee Flow through Porous Medium with Oscillating Temperature. Annals of the Romanian Society for Cell Biology. 2021 Apr 17:6465-77.

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Published

2021-12-30

How to Cite

F. Zulkiflee, S. Shafie, A. Ali, & A.Q. Mohamad. (2021). Free convection flow with chemical reaction effect between oscillating parallel plates. Data Analytics and Applied Mathematics (DAAM), 2(2), 48–55. Retrieved from https://journal.ump.edu.my/daam/article/view/6836

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Section

Research Articles