Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

The Effective of Nano Particles from Many Materials with the Free Convection Nanofluid Flow and Heat Transfer over Stretching Sheet with Heat Source

Download PDF (499 KB) PP. 149 - 156 Pub. Date: October 15, 2019

DOI: 10.22606/jaam.2019.44003

Author(s)

  • H. A. El-dawy
    The High Institute of Engineering & Technology- Tod- Luxor -Egypt

Abstract

In this work, we are studying the effect of nanoparticle from cu, AL2O3 and TIO2 on micropolar fluid flow and heat transfer. The governing fundamental equations are approximated by a system of nonlinear ordinary differential equations and are solved numerically by using the Runge Kutta Gill and shooting methods. The coupled non-linear (PDE) representing momentum, angular momentum and non-homogeneous heat equation are solved and reduced into a set of non-linear (ODE). In these equations, there are two parameters. We can change its values, nano particle and parameter radiation and their effect on heat profile.

Keywords

Nanoparticle- micropolar-radiation free convection

References

[1] S.R. Mishra et al. Case Studies in Thermal Engineering 11 (2018) 113–119.

[2] H.A. El-dawy et al. “Mixed convection over Vertical Plate Embedded in a porous medium saturated with a nanofluid,” Nanofluids Journal, volume 3, pp1-11 (2014).

[3] R.S.R. Gorla, Micropolar boundary layer flow at a stagnation on a moving wall, Int. J. Eng. Sci. 21 (1983) 25– 33.

[4] L.J. Crane, Flow past a stretching plate, ZAMP 21 (1970) 645–647.

[5] R. Cortell, Analyzing flow and heat transfer of a viscoelastic fluid over a semi-infinite horizontal moving flat plate, Int. J. Non-Linear Mech. 43, (2008) 772–778.

[6] C.Y. Wang, Liquid film on an unsteady stretching sheet, Q. Appl. Math. 48 (1990) 601–610.

[7] T. Hayat, T. Javed, Z. Abbas, MHD flow of a micropolar fluid near a stagnationpoint towards a non-linear stretching surface, Nonlinear Anal. Real 10 (2009)1514–1526.

[8] V. Kumaran, A.V. Kumar, I. Pop, Transition of MHD boundary layer flow past a stretching heet, Common. Nonlinear Sci. Numer. Simul. 15 (2010) 300–311.

[9] A. A. Mohammadein and Gorla, “Heat transfer in micropolar,” International Journal of Numerical Methods for Heat and Fluid Flow VOL .11 No. 1, 2001, pp 50-58.

[10] W. Aniss and A. A. Mohammadein “joule heating effects on a micropolar fluid past a stretching sheet with variable electric conductivity,” Journal of Computational and Applied Mechanics, Vol.6.,No1., 2005, pp 3-13.

[11] A. C. Eringen, Theory of micropolar fluids, J. Math. Mech., 16, 1–18, 1966.

[12] A. C. Eringen, Theory of thermomicrofluids, J. Math. Analy. Appl., 38, 480–496, 1972.

[13] C.J. Ho, M.W. Chen, Z.W. Li, Numerical simulation of natural convection of nanofluid in a square enclosure: effects due to uncertainties of viscosity and thermal conductivity, Int. J. Heat Mass Transfer 51 (2008) 4506– 4516.

[14] N. Putra, W. Roetzel, S.K. Das, Natural convection of nano-fluids, Int. J. Heat Mass Transfer 39 (2003) 775– 784.

[15] S.P. Jang, S.U.S. Choi, Cooling performance of a microchannel heat sink with nanofluids, Appl. Therm. Eng. 26 (2006) 2457–2463.

[16] A.G.A. Nanna, T. Fistrovich, K. Malinski, S. Choi, Thermal transport phenomena in buoyancy-driven nanofluids, in: Proc. 2005 ASME Int. Mechanical Engineering Congress and RD&D Exposition, 15–17 November, Anaheim, California, USA, 2004.