ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM

Gbolahan Boların; Abdulhakeem Yusuf; Samson Temitope Adekunle; Yomi Monday Aıyesımı; Mohammed Jıya

ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM

Abstract

The study of Boundary layer flow of a nanofluid in an inclined moving plane at an angle is carried out analytically using Adomian decomposition method (ADM). The Mathematical equations presented incorporate the effects of Brownian motion, thermophoresis and Magnetic parameter. Unlike the previously published works which considered a convective heating boundary condition. The present study considered an inclined moving plane at angle in 2-dimensions with thermal conditions of constant temperature and heat flux. The solutions to the momentum, temperature and concentration distributions were obtained via the ADM and depends on, Magnetic parameter M, Prandtl number Pr, Lewis number Le, the Brownian motion parameter Nb, the thermophoresis parameter Nt and Grashof numbers Gr and Gc. A good agreement was established between the Adomian Decomposition method and the Numerical method (Shooting technique) for some values of M while other Physical terms on the velocity profile are set to 0. Results are presented in graphical forms illustrating the effects of these parameters on Momentum, thermal and concentration boundary layers. The momentum boundary layer reduces with increase in the magnetic parameter.

Keywords

References

[1] Abu-Nada, E., Masoud, F., Oztop, H. F. & Campo, A. (2010). Effect of nanofluid variable properties on natural convection in enclosures. Int. J. of Therm. Sci., 49, 479-491.
[2] Altan, T., Oh, S., & Gegel, H., (1979). Metal Forming Fundamentals and Applications. American Soc. of Met., Metals Park, OH.
[3] Ayub, M., Abbas, T., and Bhatti, M. M. (2016). Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate. Eur. Phys. J. Plus 131, 193.
[4] Bhatti, M.M. and Rashidi, M. M. (2016). Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J. of Mol. Liq. 221, 567–573.
[5] Bhatti, M. M., Abbas, M. A., and Rashidi, M. M. (2018). A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD. App. Math. and Comp. 316, 381–389.
[6] Beg, O. A., Rashidi, M. M., Akbari, M. ,& Hosseini, A. (2014). Comparative numerical study of single-phase and two-phase models for bio-nanofluid transport phenomena. J. of Mech. in Med. and Bio., 14. DOI: 10.1142/S0219519414500110.
[7] Hassan, M., Faisal, A. and Bhatti, M. M. (2018). Interaction of aluminum oxide nanoparticles with flow of polyvinyl alcohol solutions base nanofluids over a wedge. App. Nano sci. 8, 53–60.
[8] Makinde, O. D., & Aziz A., (2011). Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int. J. of Therm. Sci. 50, 1326-1332.

[9] Mustafa, M., Hayat, T., Pop, I., Asghar, S., & Obaidat, S. (2011). Stagnation-point flow of a nanofluid towards a stretching sheet. Int. J. of Heat and Mass Trans. 54, 5588-5594.
[10] Prasad, K. V.,Vajravelu, K., & Dutt, P. S., (2010). The effects of variable fluid properties on the hydro-magnetic flow and heat transfer over a non-linearly stretching sheet, Int. J. Therm. Sci. 40, 603-610.
[11] Qing, J., Bhatti, M. M., Abbas, M. A., Rashidi, M. M. and Ali, M.E. (2016). Entropy Generation on MHD Casson Nanofluid Flow over a Porous Stretching/Shrinking Surface. Entropy, 18, 123.
[12] Rashidi, M. M., Hosseini, A., Pop, I., Kumar, S., & Freidoonimehr, N. (2014). Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel. App. Math. and Mech. 35, 831-848.
[13] Rashidi, M. M., Abelman, S., & Freidoonimehr, N. (2013). Entropy generation in steady magnetohydrodynamic flow due to a rotating porous disk in a nanofluid. Int. J. of Heat and Mass Trans. 62, 515-525.
[14] Yusuf, A., Aiyesimi, Y.M., Jiya, M., Okedayo G. T. and Bolarin G. (2016). Analysis of Unsteady Hydromagnetic Boundary Layer Flow in an Inclined wavy Permeable wall of a Nanofluid with Soret and Dufour effects and Heat Generation with Convective Boundary Condition. J. of Nig. Ass. of Math. Phys. 36 (1), 125-134.
[15] Yusuf, A., Bolarin G., Jiya, M., Aiyesimi, Y.M., and Okedayo G. T. (2018). Boundary layer flow of a nanofluid in an inclined wavy wall with convective boundary condition. Comm. in Math. Mod. and App. 3 (2), 48-56.
[16] Yusuf, A., Bolarin G. and Adekunle, S. T. (2019). Analytical solution of unsteady boundary layer flow of a nanofluid past a stretching sheet with effects of magnetic field. FUOYE J. of Eng. and Tech. (FUOYEJET), in press.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Gbolahan Boların This is me
0000-0002-7026-252X
Nigeria

Abdulhakeem Yusuf This is me
0000-0002-9238-6283
Nigeria

Samson Temitope Adekunle This is me
0000-0003-4828-6039
Nigeria

Yomi Monday Aıyesımı This is me
0000-0003-4586-450X
Nigeria

Mohammed Jıya This is me
Gambia

Publication Date

June 1, 2019

Submission Date

December 10, 2018

Acceptance Date

March 19, 2019

Published in Issue

Year 2019 Volume: 37 Number: 2

IZ

https://izlik.org/JA36KT74EM

Cite

RIS / Bibtex

APA

Boların, G., Yusuf, A., Adekunle, S. T., Aıyesımı, Y. M., & Jıya, M. (2019). ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM. Sigma Journal of Engineering and Natural Sciences, 37(2), 475-488. https://izlik.org/JA36KT74EM

AMA

1.Boların G, Yusuf A, Adekunle ST, Aıyesımı YM, Jıya M. ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM. SIGMA. 2019;37(2):475-488. https://izlik.org/JA36KT74EM

Chicago

Boların, Gbolahan, Abdulhakeem Yusuf, Samson Temitope Adekunle, Yomi Monday Aıyesımı, and Mohammed Jıya. 2019. “ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM”. Sigma Journal of Engineering and Natural Sciences 37 (2): 475-88. https://izlik.org/JA36KT74EM.

EndNote

Boların G, Yusuf A, Adekunle ST, Aıyesımı YM, Jıya M (June 1, 2019) ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM. Sigma Journal of Engineering and Natural Sciences 37 2 475–488.

IEEE

[1]G. Boların, A. Yusuf, S. T. Adekunle, Y. M. Aıyesımı, and M. Jıya, “ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM”, SIGMA, vol. 37, no. 2, pp. 475–488, June 2019, [Online]. Available: https://izlik.org/JA36KT74EM

ISNAD

Boların, Gbolahan - Yusuf, Abdulhakeem - Adekunle, Samson Temitope - Aıyesımı, Yomi Monday - Jıya, Mohammed. “ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM”. Sigma Journal of Engineering and Natural Sciences 37/2 (June 1, 2019): 475-488. https://izlik.org/JA36KT74EM.

JAMA

1.Boların G, Yusuf A, Adekunle ST, Aıyesımı YM, Jıya M. ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM. SIGMA. 2019;37:475–488.

MLA

Boların, Gbolahan, et al. “ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 2, June 2019, pp. 475-88, https://izlik.org/JA36KT74EM.

Vancouver

1.Gbolahan Boların, Abdulhakeem Yusuf, Samson Temitope Adekunle, Yomi Monday Aıyesımı, Mohammed Jıya. ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM. SIGMA [Internet]. 2019 Jun. 1;37(2):475-88. Available from: https://izlik.org/JA36KT74EM