{"title":"Effect of Thermal Radiation on Temperature Variation in 2-D Stagnation-Point flow","authors":"Vai Kuong Sin","volume":44,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":739,"pagesEnd":743,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/15727","abstract":"<p>Non-isothermal stagnation-point flow with consideration of thermal radiation is studied numerically. A set of partial differential equations that governing the fluid flow and energy is converted into a set of ordinary differential equations which is solved by Runge-Kutta method with shooting algorithm. Dimensionless wall temperature gradient and temperature boundary layer thickness for different combinaton of values of Prandtl number Pr and radiation parameter NR are presented graphically. Analyses of results show that the presence of thermal radiation in the stagnation-point flow is to increase the temperature boundary layer thickness and decrease the dimensionless wall temperature gradient.<\/p>\r\n","references":"[1] G. I. Burde, Non-steady stagnation-point flows over permeable surfaces:\r\nexplicit solution of the Navier-Stokes equations, ASME J. of Fluids\r\nEngineering 117(1) (1995) 189-191.\r\n[2] K. Hiemenz, Gottingen dissertation; and Dinglers Polytech. J., Vol. 326,\r\n(1911) 311-321.\r\n[3] T. C. Chiam, Heat transfer with variable conductivity in a stagnationpoint\r\nflow towards a stretching sheet, Int. Comm. Heat Mass Transfer 23\r\n(1996) 239-248.\r\n[4] C. Y. Wang, Stagnation slip flow and heat transfer on a moving plate,\r\nChemical Engineering Science 61 (2006) 7668-7672.\r\n[5] M. A. Hossain, K. Khanafer, K. Vafai, The effect of radiation on free\r\nconvection flow of fluid with variable viscosity from a porous vertical\r\nplate, Int. J. Therm. Sci. 40 (2001) 115-124.\r\n[6] A. Raptis, C. Perdikis, H. S. Takhar, Effect of thermal radiation on MHD\r\nflow, Appl. Math. Comput. 153 (2004) 645-649.\r\n[7] R. C. Bataller, Radiation effect in the Blasius flow, Appl. Math. Comput.\r\n198 (2008) 333-338.\r\n[8] L. F. Shampine, I. Gladwell, S. Thompson, Solving ODEs with matlab.\r\nCambridge University Press, 2003, p.190.\r\n[9] F. M. White, Viscous fluid flow. McGraw-Hill, Inc., 1974, p.172.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 44, 2010"}