NUMERICAL RESULTS OF MIXED CONVECTION FLOW OVER A FLAT PLATE WITH THE IMPOSED HEAT AND ANGLE OF INCLINATION

Mohammad Ghani

Abstract


In this paper, the numerical results of mixed convection flow over a flat plate with the imposed heat and different angles of inclination are established by applying the finite difference method of Crank-Nicolson. We further compare these numerical results with the case of non-mixed convection flow.  The velocity and temperature profiles are decreased when the different values of the Prandtl number (Pr) are increased. Meanwhile, the velocity profiles are increased, when the different values of angle of inclination (alfa) and mixed convection parameter (lambda) are increased. The mixed convection flow case (lambda=1.5) is affected by the external force, so the velocity of convection flow is higher than the non-mixed case (lambda=0).

Keywords


Mixed Convection Flow; Angle of Inclination; Crank-Nicolson Method

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References


N. Amin, R. Nazar, and I. Pop, "On the mixed convection boundary-layer flow about a solid sphere with constant surface temperature," Arabian Journal for Science and Engineering, 27 (2), 117-135, 2002.

R. Nazar, I. Pop and M. Z. Salleh, "Mixed convection boundary layer flow about a solid sphere with newtonian heating," Archives of Mechanics, 62(4), 283-303, 2010.

A. R. M. Kasim, "Convective boundary layer of viscoelastic fluid," Ph.D. Thesis. Malaysia: Universiti Teknologi Malaysia, 2014.

M. Ghani, B. Widodo, and C. Imron, C, "Incompressible and steady mixed convection flow over a sphere," The 1st Young Scientist International Conference of Water Resources Development and Environmental Protection, Malang, Indonesia, 2015.

M. Ghani, and W. Rumite, "Keller-Box scheme to mixed convection flow over a solid sphere with the effect of MHD," MUST: Journal of Mathematics Education, Science and Technology, 6 (1), 97-120, 2021.

B. Widodo, I. Anggriani, D. A. Khalimah, and F. D. S. Zainal, "Unsteady Boundary Layer Magnetohydrodynamics in Micropolar Fluid Past A Sphere," Far East Journal of Mathematical Sciences, 100, 291-299, 2016.

W. A. Khan, Z. H. Khan, and R. Ul Haq, "Flow and heat transfer of ferrofluids over a flat plate with uniform heat flux," The European Physical Journal Plus 130, no. 4, 1-10, 2015.

A. Zeeshan, A. Majeed, and R. Ellahi, "Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation," Journal of Molecular Liquids 215, 549-554, 2016.

R. Jusoh, R. Nazar, and I. Pop, "Magnetohydrodynamic rotating flow and heat transfer of ferrofluid due to an exponentially permeable stretching/shrinking sheet," Journal of Magnetism and Magnetic Materials 465, 365-374, 2018.

M. K. A. Mohamed, N. A. Ismail, N. Hashim, N. M. Shah, and M. Z. Salleh, "MHD slip flow and heat transfer on stagnation point of a magnetite (Fe3O4) ferrofluid towards a stretching sheet with Newtonian heating," CFD Letters 11, no. 1, 17-27, 2019.

S. H. M. Yasin, M. K. A. Mohamed, Z. Ismail, and M. Z. Salleh, "Mathematical solution on MHD stagnation point flow of ferrofluid," In Defect and Diffusion Forum, vol. 399, pp. 38-54. Trans Tech Publications Ltd, 2020.

K. Gangadhar, D. Vijayakumar, A. J. Chamkha, T. Kannan, and G. Sakthivel, "Effects of Newtonian heating and thermal radiation on micropolar ferrofluid flow past a stretching surface: spectral quasi‐ linearization method," Heat Transfer 49, no. 2, 838-857, 2020.

K. A. Kumar, K. Anantha, N. Sandeep, V. Sugunamma, and I. L. Animasaun, "Effect of irregular heat source/sink on the radiative thin film flow of MHD hybrid ferrofluid," Journal of Thermal Analysis and Calorimetry 139, no. 3, 2145-2153, 2020.

A. M. Rashad, "Impact of anisotropic slip on transient three dimensional MHD flow of ferrofluid over an inclined radiate stretching surface," Journal of the Egyptian Mathematical Society 25, no. 2, 230-237, 2017.

G. Makanda, S. Shaw, and P. Sibanda, "Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation," Boundary Value Problems 2015, no. 1, 1-14, 2015.




DOI: https://doi.org/10.34312/euler.v9i2.11782

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