ISSN: 2250-3005 - ijcer

International Journal Of Computational Engineering Research (ijceronline.com) Vol. 2 Issue. 8and1 1 1 T T where a , and or aT T r 1 1 1 k kT Twhere kand1 (5)Tr1T or TT1 (6)k1TTeWhere a , , Tr, Teare constants and their values depend on the reference state and thermal properties of the fluid i.e and . In general a 0 for liquids and a 0 for gases ( the viscosity and thermal conductivity of liquid/gasusually decrease/increase with increasing temperature).By assuming Rossenland approximation for radiation, the radiative heat fluxqr is given byqr4T*3Ky* 4* *Where and K are the Stefan-Bolzman constant and the mean absorption coefficient respectively. We assume that4the temperature differences within the flow are sufficiently small such that T may be expressed as a linear function of the4temperature as shown in Chamakha [18]. Expandingobtain4 3 4 Using (7) and (8) , we obtain asT in a Taylor series about T and neglecting higher order terms weT 4T T 3T(8)(7)y 3K y* 3 2qr16T T* 2(9)3. Method of SolutionThe mathematical analysis of the problem is simplified by introducing the following dimensionless coordinates in terms ofsimilarity variable and the similarity function f ascu cxf ( ), v cf , y ,T T T TWhere prime denotes the differentiation with respect to and is the dimensionless temperature.Clearly the continuity equation (1) is satisfied by u and v defined in equation (10). Substituting equation (10) inequations (2) - (3) gives the following equations r 2 r 2 iv r f ff f f K 12f f f ff M K f 0 r r r r (11)Issn 2250-3005(online) December| 2012 Page 61w(10)