Forced convection boundary layer flow in a thin nanofluid film on a stretching sheet under the effects of suction and injection

Nur Ilyana Kamis; Lim Yeou Jiann; Taufiq Khairi Ahmad Khairuddin; Sharidan Shafie; Md Faisal Md Basir

doi:10.6180/jase.202206_25(3).0009

Forced convection boundary layer flow in a thin nanofluid film on a stretching sheet under the effects of suction and injection

Nur Ilyana Kamis¹, Lim Yeou Jiann¹, Taufiq Khairi Ahmad Khairuddin¹, Sharidan Shafie¹, and Md Faisal Md Basir This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Mathematical Sciences, Faculty of Sciences, Universiti Teknologi Malaysia, 81310, Johor Bahru, Malaysia

Received: December 6, 2020
Accepted: June 18, 2021
Publication Date: October 11, 2021

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202206_25(3).0009

ABSTRACT

The forced convection thin-film hybrid nanofluid flow over a stretching sheet with heat transfer is investigated in the present study. The effect of the suction and injection is considered. The concerned hybrid nanoparticles are copper and alumina which are dissolved in blood base fluid. Suitable similarity variables are applied to convert the nonlinear governing partial differential equations subject to appropriate boundary conditions into a set of ordinary differential equations. The MATLAB solver bvp4c is utilized to solve the similarity transformed governing equations numerically. There exists a great agreement when the present computed findings are compared with the published results for a limiting condition. Dual solutions are obtained for the velocity and temperature profiles. Conflict behavior is observed for the effect of the unsteadiness parameter and mass transfer parameter on both solutions of the velocity and temperature distributions. The increment of the mass transfer parameter has enhanced the velocity profile in the injection case, while an opposite trend is detected in the suction situation.

Keywords: permeable stretching sheet; thin film, numerical; bvp4c; dual solution

REFERENCES

[1] L. J. Crane, (1970) “Flow past a stretching plate" Zeitschrift für angewandte Mathematik und Physik ZAMP 21(4): 645–647.
[2] P. Carragher, C. LJ, et al., (1982) “Heat transfer on a continuous stretching sheet":
[3] B. Sakiadis, (1961) “Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface" AiChE journal 7(2): 221–225.
[4] C. Wang, (1990) “Liquid film on an unsteady stretching surface" Quarterly of applied Mathematics 48(4): 601–610.
[5] H. I. Andersson, J. B. Aarseth, and B. S. Dandapat, (2000) “Heat transfer in a liquid film on an unsteady stretching surface" International Journal of Heat and Mass Transfer 43(1): 69–74.
[6] C.Wang, (2006) “Analytic solutions for a liquid film on an unsteady stretching surface" Heat and Mass Transfer 42(8): 759–766.
[7] I.-C. Liu and H. I. Andersson, (2008) “Heat transfer in a liquid film on an unsteady stretching sheet" International Journal of Thermal Sciences 47(6): 766–772.
[8] P. G. Metri, J. Tawade, and M. S. Abel, (2016) “Thin film flow and heat transfer over an unsteady stretching sheet with thermal radiation, internal heating in presence of external magnetic field" arXiv preprint arXiv:1603.03664:
[9] R. Usha and R. Sridharan, (1993) “On the motion of a liquid film on an unsteady stretching surface" ASMEPUBLICATIONS-FED 150: 43–43.
[10] R. C. Aziz, I. Hashim, and A. Alomari, (2011) “Thin film flow and heat transfer on an unsteady stretching sheet with internal heating" Meccanica 46(2): 349–357.
[11] B. Santra and B. S. Dandapat, (2009) “Unsteady thin film flow over a heated stretching sheet" International Journal of Heat and Mass Transfer 52(7-8): 1965–1970.
[12] M. Qasim, Z. Khan, R. Lopez, and W. Khan, (2016) “Heat and mass transfer in nanofluid thin film over an unsteady stretching sheet using Buongiorno’s model" The European Physical Journal Plus 131(1): 1–11.
[13] N. A. C. Sidik, I. M. Adamu, M. M. Jamil, G. Kefayati, R. Mamat, and G. Najafi, (2016) “Recent progress on hybrid nanofluids in heat transfer applications: a comprehensive review" International Communications in Heat and Mass Transfer 78: 68–79.
[14] O. Afonso and P. B. Vasconcelos. Computational economics: A concise introduction. Routledge, 2015.
[15] C. Sulochana and N. Sandeep, (2016) “Stagnation point flow and heat transfer behavior of Cu–water nanofluid towards horizontal and exponentially stretching/shrinking cylinders" Applied Nanoscience 6(3):451–459.
[16] N. S. Akbar, D. Tripathi, and Z. H. Khan, (2018) “Numerical simulation of nanoparticles with variable viscosity over a stretching sheet" Numerical Simulations in Engineering and Science:
[17] I.Waini, A. Ishak, and I. Pop, (2020) “MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/ shrinking wedge" Applied Mathematics and Mechanics 41(3): 507–520.
[18] A. Kamyar, R. Saidur, and M. Hasanuzzaman, (2012) “Application of computational fluid dynamics (CFD) for nanofluids" International Journal of Heat and Mass Transfer 55(15-16): 4104–4115.
[19] S. Rehman, M. Idrees, R. A. Shah, and Z. Khan, (2019) “Suction/injection effects on an unsteady MHD Casson thin film flow with slip and uniform thickness over a stretching sheet along variable flow properties" Boundary Value Problems 2019(1): 1–24.