Effects of the Wavy Surface on Free Convection-Radiation along an Inclined Plate
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Effects of the Wavy Surface on Free Convection-Radiation along an Inclined Plate

Authors: M. Si Abdallah, B. Zeghmati

Abstract:

A numerical analysis used to simulate the effects of wavy surfaces and thermal radiation on natural convection heat transfer boundary layer flow over an inclined wavy plate has been investigated. A simple coordinate transformation is employed to transform the complex wavy surface into a flat plate. The boundary layer equations and the boundary conditions are discretized by the finite difference scheme and solved numerically using the Gauss-Seidel algorithm with relaxation coefficient. Effects of the wavy geometry, the inclination angle of the wavy plate and the thermal radiation on the velocity profiles, temperature profiles and the local Nusselt number are presented and discussed in detail.

Keywords: Free convection, wavy surface, inclined surface, thermal radiation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334848

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[1] J.A. Adams, MC. Fadden and P.W, Aiche, “ Simultaneous Heat and Mass Transfer in Free Convection with Opposing Body Forces,” J. Numer. Heat Transfer, vol. 12, pp. 642-647,1966.
[2] L.S. Yao, “ Natural convection along a wavy surface,” ASME, J. Heat Transfer, vol. 105 , pp. 465-468, 1983.
[3] C. Ching-Yang, “Natural convection heat and mass transfer near a vertical wavy surface with constant wall temperature and concentration in a porous medium,” Int. Comm. Heat and Mass Transfer, Vol. 27, n° 8, pp. 1143-1154, 2000.
[4] S. Kefeng, S. and L. Wen-Qiang, “Time evolution of double-diffusive convection in a vertical cylinder with radial temperature and axial solute gradients,” Int. J. Heat mass transfer, vol. 49, pp. 995–1003, 2006.
[5] J. Jer-Huan, Wei-Mon and L. Yan Hui-Chung, “Natural convection heat and mass transfer along a vertical wavy surface,” Int. J. of Heat and Mass Transfer, vol. 46, pp. 1075–1083, 2003.
[6] H.T Lin, W.S, Yu and S.L. Yang, “Free convection on an arbitrarily inclined plate with uniform surface heat flux,” Wärme-Stoffübertrag., vol. 24, pp. 183-190, 1989.
[7] S. Shyam, T.K , Rajeev, K.G. Rohit , and K. Aiyub , “MHD Free convection radiation interaction along a vertical surface embedded in darcian porous medium in presence of soret and dufour’s effects,” J. Thermal Science:, vol. 14, n° 1, pp. 137-145, 2010.
[8] S. Whitaker, “Radiant Energy Transport in Porous Media,” Int. Engng. Chem. Fund., vol. 19 , n° 2, pp. 210-218, 1980.
[9] B.C. Chandrasekhara., P. Nagaraju, “Composite heat transfer in the case of a steady laminar flow of a gray fluid with small optical density past a horizontal plate embedded in a saturated porous media”, Wärme- Stoffübertrag., vol. 23 , n° 6, pp. 343-352, 1988.
[10] A. Raptis, “Radiation and Free Convection Flow through a Porous Medium,”Int. Comm Heat Mass Transfer, vol. 25, n° 2, pp. 289- 295, 1998.
[11] M. A. Hossain, I. Pop, “Radiation Effect on Darcy Free Convection Flow along on Inclined Surface placed in Porous Media, ”J. Heat and Mass Transfer, vol. 32, n° 4, pp. 223-227, 1997.
[12] A. J., Chamkha, “Solar radiation assisted convection in uniform porous medium supported by a vertical flat plate, ”Trans. ASME. J. Heat Transfer, vol. 119, pp. 89-96, 1997.
[13] EM. Sparrow, RD. Cess, “Free convection with blowing or suction,” J. Heat Trans-T ASME vol. 83, pp. 387–396, 1961.
[14] MM. Ali , TS. Chen, BF. Armaly., “Natural convection–radiation interaction in boundary-layer flow over horizontal surfaces, ”AIAA J., vol. 22, pp.1797–1803, 1984.
[15] M. Kumari, I. Pop, H.S. Thakha,, “Free convection boundary layer flow of non newtonian fluid along a vertical wavy surface,”Int. J. Heat and fluid flow, vol. 18 n° 6, pp. 625–631, 1997.
[16] Chiu, C.P.and Chow, H.M. , “Free convection in the boundary layer flow of micropolar fluid along a vertical wavy surface,” Acta Mechanica, vol. 101, pp. 161-174, 1993.