The Effect of Radiation on Free Convection from a Heated Horizontal Circular Cylinder

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Abstract:

Effect of radiation on free convection on heated horizontal circular has been investigated. The cylinder is fixed and immersed in a stationary fluid, in which the temperature is uniformly heated about the temperature of the surrounding fluid. The governing equation are transformed into dimensionless non-linear of partial differential equations and solved numerically by employing a finite difference method. An implicit finite difference scheme of Crank Nicolson method is used to analyze the results. This study determine the effects of radiation parameter, heat generation parameter, and the Prandtl number, , on the temperature and velocity profiles. The results of the local heat transfer and skin-friction coefficient in the presence of radiation for some selected values of Prandtl number and heat generation parameter have shown graphically.Keywords: Radiation; free convection; heated circular cylinder; heat generation.

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[1] Abd El-Naby, M. A., Elsayed, M. E. E & Nader, Y. A. (2003). Finite difference solution of radiation effects on MHD unsteady free convection flow over vertical porous plate. Applied Mathematics and Computation, (151), pp.327-346.

DOI: 10.1016/s0096-3003(03)00344-8

Google Scholar

[2] Ali, M. M., Mamun, A. A., Maleque, M. A. & Azim, NHM. A. (2013).

Google Scholar

[3] Carnahan, B., Luther, H. A. &Wilkes, J. O. (1969). Applied Numerical Methods. New York: Wiley.

Google Scholar

[4] Elbashbeshy, E. M. A., Emam, T. G. & Sayed, E. A. A. (2014).

Google Scholar

[5] Cogley, A. C., Vincenti W. G. & Giles S. E. (1968). Differential Approximation for Radiation Transfer in a Non Gray Near Equilibrium. New York: Springer.

Google Scholar

[6] Ferdousi, A., Rahman, M. M., Parvez, M. S. & Alim, M. A. (2013). Effect of radiation on natural convection flow from a porous vertical plate in presence of heat generation. International Journal of Engineering and Applied Sciences, (3(4) pp.20-29.

DOI: 10.14419/ijams.v1i3.971

Google Scholar

[7] Ganesan, P. & Rani, H. P. (1998). Transient natural convection flow over vertical cylinder with heat and mass transfer. Journal of Heat and Mass Transfer, (33), pp.449-455.

DOI: 10.1007/s002310050214

Google Scholar

[8] Hossain, M. A. & Takhar, H. S. (1996). Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Transfer, (31), p.243248.

DOI: 10.1007/bf02328616

Google Scholar

[9] Ismail, M. N., Mohamadien, G. F., & Gker, . D. (2012). Finite difference solution of radiation on unsteady free convective magnetohydrodynamic flow past a vertical cylinder with heat and mass transfer. arXiv preprint arXiv. 1206. 3045.

Google Scholar

[10] Khan, M. S. Karim, I., Ali, L. E. & Islam, A. (2012). Unsteady MHD free convection boundary-layer flow of a nanofluid along a stretching sheet with thermal radiation and viscous dissipation effects. International Nano Letters, (2(24)8), pp.1-9.

DOI: 10.1186/2228-5326-2-24

Google Scholar

[11] Miraj, M. & Alim, M. A. (2010). Effect of radiation on natural convection flow on a sphere in presence of heat generation. International Communications in Heat and Mass Transfer, (37), pp.660-665.

DOI: 10.1016/j.icheatmasstransfer.2010.01.013

Google Scholar

[12] Miraj, M., Alim, M. A. & Andallah, L. S. (2011). Effects of pressure work and radiation on natural convection flow around a sphere with heat generation. International Communications in Heat and Mass Transfer, (38), pp.911-916.

DOI: 10.1016/j.icheatmasstransfer.2011.04.019

Google Scholar

[13] Makinde, O. D. (2012). Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation. Meccanica, (47), pp.1173-1184.

DOI: 10.1007/s11012-011-9502-5

Google Scholar

[14] Molla, M. M., Hossain, M. A. & Gorla, R. S. R. (2009b). Radiation effect on natural convection boundary layer flow over a vertical wavy frustum of cone. Applied Mathematic Mechanical Engineering Science, (223) pp.1605-1614.

DOI: 10.1243/09544062jmes1323

Google Scholar

[15] Molla, M. M., Saha, S. C., Khan, M. A. I., & Hossain, M. A. (2011). Radiation effects on natural convection laminar flow from a horizontal circular cylinder. Desalination and Water Treatment, (30), pp.89-97.

DOI: 10.5004/dwt.2011.1870

Google Scholar

[16] Rani, H. R. & Devaraj, R. (2003). Numerical solution of unsteady flow past a vertical cylinder with temperature oscillations. Foshung in Ingenieurwesen, (68), pp.75-78.

DOI: 10.1007/s10010-003-0108-5

Google Scholar

[17] Rani, H. R. & Kim, C. N. (2008). Transient free convection flow over an isothermal vertical cylinder with temperature dependent viscousity. Korean Journal Chemical Engineering, (25(1), pp.34-40.

DOI: 10.1007/s11814-008-0006-5

Google Scholar

[18] Reddy, M. M. G. & Reddy, N. B. (2009a). Radiation and mass transfer effects on unsteady MHD free convection flow of an incompressible viscous fluid past a moving vertical cylinder. Theoretical Applied Mechanics, (36(3), pp.239-260.

DOI: 10.2298/tam0903239g

Google Scholar

[19] Reddy, M.M.G. & Reddy, N.B. (2009b). Thermal radiation and mass transfer effects on MHD free convection flow of an vertical cylinder with variable surface temperature and concentration. Journal of Naval Architecture and Marine Engineering, 6(1), pp.1-24.

DOI: 10.3329/jname.v6i1.2615

Google Scholar

[20] Soundalgekar, V. M., Takhar H. S. & Vighnesam N.V. (1960 ). The combined free and forced convection flow past a semi-infinite vertical plate with variable surface temperature. Nuclear Engineering and Design, (110), pp.95-98.

DOI: 10.1016/0029-5493(88)90009-x

Google Scholar

[21] Tahmina, A. & Alim, M.A. (2008 ). Effects of radiation on natural convection flow around a sphere with uniform surface heat flux. Journal Mechanical Enggineering, (39(1), pp.50-56.

DOI: 10.3329/jme.v39i1.1834

Google Scholar

[22] Udin, Z. & Kumar, M. (2010). Unsteady free convection in a fluid past an inclined plate immersed in a porous medium. Computer Modelling and New Technologies, (14), pp.41-47.

Google Scholar

[23] Udin, Z. & Harmand, S. (2013). Natural convection heat transfer of nanofluids along a vertical plate embedded in porous medium. Nanoscale Research Letters, (8), p.64.

DOI: 10.1186/1556-276x-8-64

Google Scholar

[24] Velusamy, K. & Garg, V. K. (1992). Transient natural convection over a heat generating vertical cylinder. International Journal Heat Mass Transfer, (35), pp.1293-1306.

DOI: 10.1016/0017-9310(92)90185-u

Google Scholar

[25] Yih, K. A. (1999). Effect of radiation on natural convection about a truncated cone. International Journal and Mass Transfer, (42), pp.4299-4305.

DOI: 10.1016/s0017-9310(99)00092-7

Google Scholar