Effect of thermal radiation and heat generation on MHD flow past a uniformly heated vertical plate

References

• Ostrach , S. 1952 . An analysis of laminar free convective flow and heat transfer about a flat plate parallel to direction of the generating body force NACA Technical Report 1111
   Google Scholar
• Kay , W. M. 1966 . Convective Heat and Mass Transfer , New York : McGraw-Hill .
   Google Scholar
• Arunachalam , M. and Rajappa , N. R. 1978 . Forced convection in liquid metals with variable thermal conductivity and capacity . Acta Mechanica , 31 : 25 – 31 .
   Web of Science ®Google Scholar
• Chaim , T. C. 1998 . Heat transfer in a fluid with variable thermal conductivity over stretching sheet . Acta Mechanica , 129 : 63 – 72 .
   Google Scholar
• Carey , V. P. and Mollendorf , J. C. Natural convection in liquid with temperature dependent viscosity . Proceedings of 6th International Heat Transfer Conference . Toronto . pp. 211 – 217 . Part 2
   Google Scholar
• Crepeau , J. C. and Clarksean , R. 1997 . Similarity solution of natural convection with internal heat generation . ASME J. Heat Transfer , 119 : 183 – 185 .
   Web of Science ®Google Scholar
• Chamkha , A. J. and Khaled , A. R. A. 2001 . Similarity solutions for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption . Heat and Mass Transfer , 37 : 117 – 123 .
   Web of Science ®Google Scholar
• Ali , M. M. , Chen , T. S. and Armaly , B. F. 1984 . Natural convection-radiation interaction in boundary-layer flow over horizontal surfaces . AIAA J. , 22 : 1797 – 1803 .
   Google Scholar
• Ibrahim , F. S. 1990 . Mixed convection-radiation interaction in boundary-layer flow over horizontal surfaces . Astrophys. Space Sci. , 168 : 263 – 276 .
   Google Scholar
• Mansour , M. A. 1990 . Radiative and free-convection effects on the oscillatory flow past a vertical plate . Astrophys. Space Sci. , 166 : 269 – 275 .
   Google Scholar
• Hossain , M. A. , Khanafer , K. and Vafai , K. 2001 . The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate . Int. J. Therm. Sci. , 40 : 115 – 124 .
   Web of Science ®Google Scholar
• Elbashbeshy , E. M. A. and Dimian , M. F. 2002 . Effect of radiation on the flow and heat transfer over a wedge with variable viscosity . Appl. Mathematics and Comput. , 132 : 445 – 454 .
   Google Scholar
• Viskanta , R. and Grosh , R. J. 1962 . Boundary layer in thermal radiation absorbing and emitting media . Int. J. Heat Mass Transfer , 5 : 795 – 806 .
   Google Scholar
• Raptis , A. 1998 . Flow of a micropolar fluid past a continuously moving plate by the presence of radiation . Int. J. Heat Mass Transfer , 41 : 2865 – 2876 .
   Web of Science ®Google Scholar
• Hossain , M. A. , Alim , M. A. and Rees , D. A. S. 1999 . The effect of radiation on free convection from a porous vertical plate . Int. J. Heat Mass Transfer , 42 : 181 – 191 .
   Web of Science ®Google Scholar
• Yih , K. A. 1999 . Effect of radiation on natural convection about a truncated cone . Int. J. Heat Mass Transfer , 42 : 4299 – 4305 .
   Web of Science ®Google Scholar
• Bataller , R. C. 2008 . Radiation effects in the Blasius flow . Appl. Mathematics Comput. , 198 : 333 – 338 .
   Web of Science ®Google Scholar
• Bataller , R. C. 2008 . Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition . Appl. Mathematics Comput. , 206 : 832 – 840 .
   Web of Science ®Google Scholar
• Chen , C. H. 2004 . Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration . Acta Mech. , 172 : 219 – 235 .
   Web of Science ®Google Scholar
• Duwairi , H. M. 2005 . Viscous and joule heating effects on forced convection flow from radiate isothermal porous surfaces . Int. J. Numer. Methods Heat Fluid Flow , 15 : 429 – 440 .
   Google Scholar
• Duwairi , H. M. and Damseh , R. A. 2004 . MHD-Buoyancy aiding and opposing flows with viscous dissipation effects from radiate vertical surfaces . Can. J. Chem. Eng. , 82 : 1 – 6 .
   Google Scholar
• Ibrahim , F. S. , Mansour , M. A. and Hamad , M. A. A. 2005 . Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate . Electronic J. Differential Equations , 39 : 1 – 17 .
   Google Scholar
• Seddeek , M. A. 2002 . Effects of radiation and variable viscosity on a MHD free convection flow past a semi-infinite plate with an aligned magnetic field in the case of unsteady flow . Int. J. Heat Mass Transfer , 45 : 931 – 935 .
   Web of Science ®Google Scholar
• Seddeek , M. A. 2000 . The effect of variable viscosity on hydromagnetic flow and heat transfer past a continuously moving porous boundary with radiation . Int. Commun. Heat Mass Transfer , 27 : 1037 – 1046 .
   Web of Science ®Google Scholar
• Sparrow , E. M. and Cess , It. D. 1978 . Radiation Heat Transfer-Augmented Edition , Washington, DC : Hemisphere Publishing Corp . Chapters. 7 and 10
   Google Scholar
• Kalnins , A. and Lestingi , J. F. 1967 . On: Nonlinear analysis of elastic shells of revolution . J. Appl. Mech. , 34 : 59 – 64 .
   Google Scholar
• Sepetoski , W. K. , Pearson , C. E. , Dingwell , I. W. and Adkins , A. W. 1962 . A digital computer program for the general axially symmetric thin shell problem . J. Appl. Mech. , 29 : 655 – 661 .
   Google Scholar
• Jain , M. K. 1984 . Numerical Solution of Differential Equations , New Delhi , , India : Wiley Eastern Ltd .
   Google Scholar
• Raptis , A. , Perdikis , C. and Takhar , H. S. 2004 . Effect of thermal radiation on MHD flow . Appl. Mathematics Comput. , 153 : 645 – 649 .
   Web of Science ®Google Scholar