Effects of Radiation and Chemical Reaction on MHD Unsteady Heat and Mass Transfer of Nanofluid Flow Through a Vertical Plate

Effects of Radiation and Chemical Reaction on MHD Unsteady Heat and Mass Transfer of Nanofluid Flow Through a Vertical Plate

S.F. Ahmmed R. Biswas*

Mathematics Discipline, Science, Engineering and Technology School, Khulna University, Khulna 9208, Bangladesh

Corresponding Author Email: 
rajibkumath11@gmail.com
Page: 
213-220
|
DOI: 
https://doi.org/10.18280/mmc_b.870401
Received: 
21 December 2017
| |
Accepted: 
10 March 2018
| | Citation

OPEN ACCESS

Abstract: 

In this paper we have reported the effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of nanofluid flow through a vertical plate. The model equations are transformed into non-dimensional form by the as usual mathematical technique of transformation and the resultant non-dimensional partial differential equations are solved numerically by applying explicit finite difference technique. Then the numerical results have been calculated by computer programming languages Compaq Visual Fortran 6.6a which are significantly affected by the various dimensionless parameters such as Magnetic parameter, Schmidt number, Grashof number, Lewis number, Prandtl number, modified Grashof number, Dufour number, thermophoresis parameter, Brownian motion parameter, chemical reaction and radiation parameter on velocity, temperature and concentration profiles along with the skin friction coefficient, Nusselt number and Sherwood number. At the end, the obtained numerical results are plotted after stability test by using graphics software tecplot-9 and discussed with the help of graphs.

Keywords: 

nanofluid, MHD, heat source, porous medium, chemical reaction

1. Introduction
2. Mathematical Analysis
3. Calculation Technique
4. Stability and Convergence Analysis
5. Results and Discussion
6. Conclusion
  References

[1] Choi S. (1995). Enhancing thermal conductivity of fluids with nanoparticles. ASME-Publ. Fed (231): 99-106. https://www.researchgate.net/profile/Jeffrey_Eastman/publication/236353373_Enhancing_thermal_conductivity_of_fluids_with_nanoparticles/links/0f3175336e78aa9c4c000000/Enhancing-thermal-conductivity-of-fluids-with-nanoparticles.pdf

[2] Uddin MJ, Kalbani KSA, Rahman MM, Alam MS, Salti NA, Eltayeb IA. (2016). Fundamentals of nanofluids: evolution, applications and new theory. Official Journal of Biomathematical Society of India 2(1): 1-32.

[3] Mahanthesh B, Gireesha BJ, Gorla RSR. (2016). Unsteady three-dimensional MHD flow of a nano Eyring-Powell fluid past a convectively heated stretching sheet in the presence of thermal radiation, viscous dissipation and Joule heating. Journal of the Associatin of Arab Universities for Basic and Applied Sciences 75-84. http://doi.org/10.1016/j.jaubas.2016.05.004

[4] Khan NA, Sultan F, Rubbab Q. (2015). Optimal solution of nonlinear heat and mass transfer in a two-layer flow with nano-Eyring–Powell fluid. Results in Physics 5: 199-205. http://doi.org/10.1016/j.rinp.2015.08.006

[5] Hossain MD, Samad MA, Alam MM. (2015). MHD free convection and mass transfer flow through a vertical oscillatory porous plate with hall, ion-slip currents and heat source in a rotating system. Procedia Engineering 105: 56-63. http://doi.org/10.1016/j.proeng.2015.05.006

[6] Das S, Guchhait SK, Jana RN, Makinde OD. (2016). Hall effects on an unsteady magneto-convection and radiative heat transfer past a porous plate. Alexandria Engineering Journal 55: 1321-1331.

[7] Seth GS, Sarkar S, Hussain SM. (2014). Effects of hall current, radiation and rotation on natural convection heat and mass transfer flow past a moving vertical plate. Ain Shams Engineering Journal 5: 489-503. http://doi.org/10.1016/j.asej.2013.09.014

[8] Biswas R, Mondal M, Sarkar DR, Ahmmed SF. (2017). Effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of Casson fluid flow past a vertical plate. Journal of Advances in Mathematics and Computer Science, 23(2), 1-16. http://doi.org/10.9734/JAMCS/2017/34292

[9] Haque Z, Alam MM. (2011). Micropolar fluid behaviours on unsteady MHD heat and Mass transfer flow with constant heat and mass fluxes, joule heating and viscous dissipation. AMSE Journal 80(2).

[10] Haque M, Alam MM. (2009). Transient heat and mass transfer by mixed convection flow from a vertical porous plate with induced magnetic field. constant heat and mass fluxes. AMSE Journal 78(4).

[11] Srikantha GVPN, Srinivasa DG, Babub BS. (2015). Characterization of chemical reaction on heat transfer through the nano fluid. Procedia Materials Science 10: 10-18. http://doi.org/10.1016/j.mspro.2015.06.018

[12] Animasaun IL. (2015). Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-Darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction. Journal of the Nigerian Mathematical Society 34: 11-31. http://doi.org/10.1016/j.jnnms.2014.10.008

[13] Akbar NS, Nadeem S, Lee C, Khan ZH, Haque RU. (2013). Numerical study of Williamson nano fluid flow in an asymmetric channel. Results in Physics 3: 161-166. http://doi.org/10.1016/j.rinp.2013.08.005

[14] Ganga B, Ansari SMY, Ganeshc NV, Hakeem AKA. (2016). MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption. Propulsin and Power Research 5(3): 211-222. http://doi.org/10.1016/j.jppr.2016.07.003

[15] Oyelakin IS., Mondal S, Sibanda P. (2016). Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation. convective and slip boundary conditions. Alexandria Engineering Journal 55: 1025-1035. http://doi.org/10.1016/j.aej.2016.03.003

[16] Hossain MD, Samad MA, Alam MM. (2016). MHD Free Convection and Mass Transfer Flow through a Vertical Oscillatory Porous Plate in a Rotating Porous Medium with Hall, Ion-Slip Currents and Heat Source. AMSE Journals –2016-Series: Modelling B 85(1): 28-42. http://doi.org/10.1016/j.proeng.2015.05.006