Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method
International Journal of Applied Mathematics and Theoretical Physics
Volume 5, Issue 4, December 2019, Pages: 111-117
Received: Sep. 7, 2019;
Accepted: Oct. 28, 2019;
Published: Dec. 10, 2019
Views 530 Downloads 156
Ayele Tulu, Department of Mathematics, Wollega University, Nekemte, Ethiopia
Wubshet Ibrahim, Departments of Mathematics, Ambo University, Ambo, Ethiopia
In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable similarity variables, the governing equations and their related boundary conditions are transformed into dimensionless forms of a system of coupled nonlinear ordinary differential equations. The resulting systems of equations are then solved numerically using spectral quasilinearization method (SQLM). The results reveal that the skin friction coefficient increases with increasing the values of nanoparticle volume fraction, unsteadiness and permeability parameters. The local Nusselt number reduces with increasing the value of nanoparticle volume fraction, Prandtl number and Eckert number. The local Sherwood number enhances with greater the value of nanoparticle volume fraction, unsteadiness, pressure gradient and chemical reaction parameters. Moreover, the method is checked against the previously published results and a very good agreement have been obtained.
Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method, International Journal of Applied Mathematics and Theoretical Physics.
Vol. 5, No. 4,
2019, pp. 111-117.
S. U. S Choi, and J. A Eastman (1995), Enhancing thermal conductivity of fluids with nanoparticles in developments and Applications of NonNewtonian Flows. ASME., 66, 99-105.
T. Salahuddin, A. Hussain, M. Y Malik, M. Awais, and M. Khan (2017), Carreau nanofluid impinging over a stretching cylinder with generalized slip effects using finite difference scheme. Results in Phy., 7, 3090-3099.
A. Nageeb, H. Haroun, S. Mondal, and P. Sibanda (2017), Effects of thermal radiation on mixed convection in a MHD nanofluid flow over a stretching sheet. In. J. Math. Com., Phy. Ele. Comp. Eng, 11 (2).
M. S Alama, M. Ali, M. A Alim, M. J Munshi, and M. Z Chowdhur (2017), Solution of Falkner- Skan unsteady MHD boundary layer flow and heat transfer past a moving porous wedge in a nanofluid. Sci. Dir., Pro. Eng., 194, 414-420.
B. K Ramesh, R. K Shreenivas, L. N Achala, and N. M Bujurk (2017), Similarity solutions of the MHD boundary layer flow past a constant wedge within porous media. Math. Prob. in Eng., doi: 10.1155/2017/1428137.
V. Nagendramma, K. Sreelakshmi, and G. Sarojamma (2017), Magnetohydrodynamic heat and mass transfer flow over a stretching wedge with convective boundary condition and thermophoresis. Sci. Dir., Pro. Eng., 127, 963 – 969.
W. Ibrahim, and A. Tulu (2019), Magnetohydrodynamic boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media, Math. Prob. in Eng., doi: 10.1155/2019/4507852.
D. Srinivasacharya, U. Mendu, and K. Venumadhav (2015), MHD boundary layer flow of a nanofluid past a wedge. Sci. Dir., Pro. Eng., 127, 1064-1070.
X. Xu, and S. Chen (2017), Dual solutions of a boundary layer problem for MHD nanofluids through a permeable wedge with variable viscosity. Xu and Chen Bou. Val. Prob, 147.
E. Haile, and B. Shankar (2015), Boundary-layer flow of nanofluids over a moving surface in the presence of thermal radiation, viscous dissipation and chemical reaction. J. of App. Math., 10, 952-969.
A. C Yunus, and A. J Ghajar (2015), Heat and Mass Transfer, fundamentals and applications. Mcgraw-Hill education, 2 Penn Plaza, New York, 5.
S. S Majety, and K. Gangadhar (2016), Viscous dissipation effects on radiative MHD boundary layer flow of nanofluid past a wedge through porous medium with chemical reaction. IOSR J. of Math. 12, 71-81.
S. S Motsa (2013), A new spectral local linearization method for nonlinear boundary layer flow problems. J. of App. Math., doi: 10.1155/2013/423628.
S. S Motsa, Z. G Makukula, and S. Shateyi, (2013), Spectral local linearization approach for natural convection boundary layer flow. Math. Prob. in Eng., doi: 10.1155/2013/765013.
N. Ali N, J. A Teixeira, and A. Addali (2018), A review on nanofluids: fabrication, stability, and thermophysical properties. J. of Nanomaterials, doi.org/10.1155/2018/6978130.
V. M Falkner, and S. W Skan (1931), Some approximate solutions of the boundary layer equations. Philos. Mag., 12, 865-896.
I. Ullah, I. Khan, and S. Shafie (2016), Hydromagnetic Falkner-Skan flow of Casson fluid past a moving wedge with heat transfer. Alexandria J. of Eng., 55, 2139-2148.
G. Ashwini, and A. T Eswara (2012), MHD Falkner-Skan boundary layer flow with internal heat generation or absorption. Int. J. of Math. and Comp. Sc., 6, 556-559.
T. Watanabe (1990), Thermal boundary layer over a wedge with uniform suction and injection in forced flow. Acta_Mechanica, 83, 19-26.