%K Constant temperature; Coupled partial differential equations; Dimensionless velocity; Exact solution; Fluid velocities; Free convection flows; Free convections; Gray gas; Inclination angles; Inclined isothermal plates; Inclined plate; Laplace transform techniques; Magnetic field parameter; MHD-free convection; Numerical values; Radiation parameters; Skin-friction and Nusselt number; Temperature profiles; Thermal radiations, Aerospace engineering; Heat radiation; Laplace transforms; Magnetic fields; Natural convection; Nusselt number; Partial differential equations; Radiation effects, Magnetohydrodynamics %X The effect of thermal radiation on unsteady magnetohydrodynamic free convection flow of an optically thin gray gas past an infinite inclined plate with constant temperature has been investigated. The governing coupled partial differential equations are solved analytically using the Laplace transform technique. The dimensionless velocity and temperature profiles are shown in graphs and the numerical values of the non-dimensional skin-friction and Nusselt number are presented in tables. The influence of the system parameters such as Prandtl number, inclination angle, magnetic field parameter, Grashof number, radiation parameter and time on flow fields have been discussed in detail. The results indicate that the inclination angle, magnetic field parameter and radiation parameter effects were to decrease the fluid velocity along an inclined plate. © (2012) Trans Tech Publications, Switzerland. %R 10.4028/www.scientific.net/AMM.110-116.2228 %D 2012 %L scholars3227 %J Applied Mechanics and Materials %O cited By 12; Conference of 2nd International Conference on Mechanical and Aerospace Engineering, ICMAE 2011 ; Conference Date: 29 July 2011 Through 31 July 2011; Conference Code:87387 %C Bangkok %V 110-11 %A M. Narahari %T An exact solution of unsteady MHD free convection flow of a radiating gas past an infinite inclined isothermal plate %P 2228-2233