The investigation of the fluid flow problem via mathematical approach for non-Newtonian fluid is challenging due to the rise in complexity in its model. However, the study still attracted researchers since the model is able to capture properties of the existing fluid involved in industrial applications. There are several models representing the non-Newtonian fluid. In this paper, the model of Eyring-Powell fluid with dust particle under influence of temperature dependent viscosity is discussed. The model is formulated using the law of conservation of mass, the first law of thermodynamics and Navier-Stokes equation. The complexity of the model is reduced to a set of ordinary differential equations and the computation is done by using the finite difference method. The validation of the present results is attained by direct comparison with those existing in literature which is found to be in excellent agreement. The investigation revealed the viscosity of the fluid affecting the flow characteristics in both the phases.

Non-Newtonian, numerical method, boundary layer, temperature dependent viscosity.

Received: January 9, 2021;  Accepted: February 12, 2021; Published: June 15, 2021

How to cite this article: Ahlam Mahmoud Al-Jabali, Abdul Rahman Mohd Kasim, Nur Syamilah Arifin, Sharena Mohamad Isa and Noor Amalina Nisa Ariffin, Two-phase flow of non-newtonian eyring fluid over a vertical stretched surface with temperature dependent viscosity, JP Journal of Heat and Mass Transfer 23(1) (2021), 57-68. DOI: 10.17654/HM023010057

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] R. Mahat, N. A. Rawi, A. R. M. Kasim and S. Shafie, Heat generation effect on mixed convection flow of viscoelastic nanofluid: convective boundary condition solution, Malaysian Journal of Fundamental and Applied Sciences 16(2) (2020), 166-172.
[2] N. A. Majid, N. F. Mohammad, A. R. M. Kasim and S. Shafie, Forced convective of micropolar fluid on a stretching surface of another quiescent fluid, Matematika: MJIAM 35(3) (2019), 397-413.
[3] A. R. M. Kasim, H. A. M. Al-Sharifi, N. S. Arifin, M. Z. Salleh and S. Shafie, Numerical solutions on boundary layer of Casson micropolar fluid over a stretching surface, Proceedings of the Third International Conference on Computing, Mathematics and Statistics (iCMS2017), Springer, Singapore, 2019.
[4] A. R. M. Kasim, L. Y. Jiann, S. Shafie and A. Ali, The effects of heat generation or absorption on MHD stagnation point of Jeffrey fluid, Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), Vol. 1605, AIP Publishing, 2014, pp. 404-409.
[5] A. R. M. Kasim, N. F. Mohammad and S. Shafie, Effect of heat generation on free convection boundary layer flow of a viscoelastic fluid past a horizontal circular cylinder with constant surface heat flux, 5th International Conference on Research and Education in Mathematics (ICREM5), Bandung, Indonesia, Vol. 1450, 2011, pp. 286-292.
[6] A. R. M. Kasim, N. F. Mohammad, I. Anwar and S. Shafie, MHD effect on convective boundary layer flow of a viscoelastic fluid embedded in porous medium with Newtonian heating, Recent Adv. Math. 4 (2013), 182-189.
[7] S. M. Zokri, N. S. Arifin, M. K. A. Mohamed, M. Z. Salleh, A. R. M. Kasim and N. F. Mohammad, Numerical solutions on mixed convection boundary layer and heat transfer of Jeffrey fluid over a horizontal circular cylinder by using Keller-Box method, National Conference for Postgraduate Research (NCON-PGR) 2016, 2016, pp. 913-926.
[8] R. E. Powell and H. Eyring, Mechanisms for the relaxation theory of viscosity, Nature 154 (1944), 427-428.
[9] M. Jalil and S. Asghar, Flow and heat transfer of Powell-Eyring fluid over a stretching surface: a Lie group analysis, Journal of Fluids Engineering 135(12) (2013).
[10] T. Javed, N. Ali, Z. Abbas and M. Sajid, Flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet, Chemical Engineering Communications 200(3) (2013), 327-336.
[11] T. Hayat, M. Waqas, S. A. Shehzad and A. Alsaedi, Mixed convection stagnation-point flow of Powell-Eyring fluid with Newtonian heating, thermal radiation, and heat generation/absorption, Journal of Aerospace Engineering 30(1) (2017), 04016077.
[12] A. Aljabali, A. R. M. Kasim and A. M. Hussein, A progress on the development of mathematical model on two-phase flow over a vertical stretching sheet, J. Phys.: Conf. Ser. 1366 (2019), 012045.
[13] M. Imtiaz, T. Hayat, M. Hussain, S. A. Shehzad, G. Q. Chen and B. Ahmad, Mixed convection flow of nanofluid with Newtonian heating, Eur. Phys. J. Plus 129 (2014), Article number: 97.