Combined effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall

Sakiadis BC (1961) Boundary-layer behaviour on continuous solid surfaces. AIChE J 7:26–28 Crane LJ (1970) Flow past a stretching plate. Z Angew Math Phys 21:645–647 Chakrabarti A, Gupta AS (1979) Hydromagnetic flow and heat transfer over a stretching sheet. Q Appl Math 33:73–78 Carragher P, Crane LJ (1982) Heat transfer on a continuous stretching sheet. Z Angew Math Mech 62:564–565 Gupta PS, Gupta AS (1977) Heat and mass transfer on a stretching sheet with suction or blowing. Can J Chem Eng 55:744–746 Danberg JE, Fansler KS (1976) A non-similar moving wall boundary-layer problem. Q Appl Math 34:305–309 Cortell R (2005) Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dyn Res 37(4):231–245 Yih KA (1998) The effect of uniform suction/blowing on heat transfer of magnetohydrodynamic Hiemenz flow through porous media. Acta Mech 130:147–158 Gorla RSR, Sidawi I (1994) Free convection on a vertical stretching surface with suction or blowing. Appl Sci Res 52:247–257 Badruddin IA, Zainal ZA, Narayana PAA, Seetharamu KN, Siew LW (2006) Free convection and radiation characteristics for a vertical plate embedded in a porous medium. Int J Numer Methods Eng 65:2265–2278 Labropolu F, Dorrepaal JM, Chandna OP (1993) Viscoelastic fluid flow impinging on a wall with suction or blowing. Mech Res Commun 20:143–153 Gupta AS, Misra JC, Reza M (2003) Effects of suction or blowing on the velocity and temperature distribution in the flow past a porous flat plate of a power-law fluid. Fluid Dyn Res 32:283–294 Ishak A, Nazar R, Pop I (2008) Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet. Heat Mass Transf 44:921–927 Ishak A, Nazar R, Pop I (2006) Magnetohydrodynamic stagnation-point flow towards a stretching vertical sheet. Magnetohydrodynamics 42:17–30 Cortell R (2005) A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet. Appl Math Comput 168:557–566 Cortell R (1994) Similarity solutions for flow and heat transfer of a viscoelastic fluid over a stretching sheet. Int J Non-Linear Mech 29:155–161 Kelly D, Vajravelu K, Andrews L (1999) Analysis of heat and mass transfer of a viscoelastic, electrically conducting fluid past a continuous stretching sheet. Nonlinear Anal 36:767–784 Vajravelu K, Rollings D (2004) Hydromagnetic flow of a second grade fluid over a stretching sheet. Appl Math Comput 148:783–791 Cortell R (2006) MHD boundary-layer flow and heat transfer of a non-Newtonian power-law fluid past a moving plate with thermal radiation. Nuovo Cimento B 121:951–964 Massoudi M, Maneschy CE (2004) Numerical solution to the flow of a second grade fluid over a stretching sheet using the method of quasi-linearization. Appl Math Comput 149:165–173 Cortell R (2007) Effects of heat source/sink, radiation and work done by deformation on flow and heat transfer of a viscoelastic fluid over a stretching sheet. Comput Math Appl 53:305–316 Liu I-Ch (2005) Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field. Int J Non-Linear Mech 40:465–474 Cortell R (2007) Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation. Int J Heat Mass Transf 50:3152–3162 Cortell R (2006) A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet. Int J Non-Linear Mech 41:78–85 Cortell R (2006) Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field. Int J Heat Mass Transf 49:1851–1856 Cortell R (2006) Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet. Phys Lett A 357:298–305 Cortell R (2011) Suction, viscous dissipation and thermal radiation effects on the flow and heat transfer of a power-law fluid past an infinite porous plate. Chem Eng Res Des 89:85–93 Cortell R (2010) On a certain boundary value problem arising in shrinking sheet flows. Appl Math Comput 217:4086–4093 Ishak A (2010) Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect. Meccanica 45:367–373 Ishak A, Yacob NA, Bachok N (2010) Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition. Meccanica in press. doi:10.1007/s11012-010-9338-4 Cortell R (2010) Internal heat generation and radiation effects on a certain free convection flow. Int J Nonlinear Sci 9:468–479 Kumaran V, Ramanaiah G (1996) A note on the flow over a stretching sheet. Acta Mech 116:229–233 Elbashbeshy EMA (2001) Heat transfer over an exponentially stretching continuous surface with suction. Arch Mech 53:643–651 Sajid M, Hayat T, Asghar S, Vajravelu K (2008) Analytic solution for axisymmetric flow over a nonlinearly stretching sheet. Arch Appl Mech 78:127–134 Anjali Devi SP, Thiyagarajan M (2006) Steady non-linear hydromagnetic flow and heat transfer over a stretching surface of variable temperature. Heat Mass Transf 42:671–677 Vajravelu K (2001) Viscous flow over a nonlinearly stretching sheet. Appl Math Comput 124:281–288 Cortell R (2007) Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Math Comput 184:864–873 Cortell R (2008) Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet. Phys Lett A 372:631–636 Abbas Z, Hayat T (2008) Radiation effects on MHD flow in a porous space. Int J Heat Mass Transf 51:1024–1033 Hayat T, Abbas Z, Javed T (2008) Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet. Phys Lett A 372:637–647 Akyildiz FT, Siginer DA (2010) Galerkin-Legendre spectral method for the velocity and thermal boundary layer over a non-linearly stretching sheet. Nonlinear Anal, Real World Appl 11:735–741 Van Gorder RA, Vajravelu K (2010) A note on flow geometries and the similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Arch Appl Mech 80:1329–1332 Van Gorder RA, Vajravelu K, Akyildiz FT (2011) Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. Appl Math Lett 24(2):238–242 Brewster MQ (1972) Thermal Radiative Transfer Properties. Wiley, New York Raptis A, Perdikis C, Takhar HS (2004) Effect of thermal radiation on MHD flow. Appl Math Comput 153:645–649 Cortell R (2008) Similarity solutions for boundary layer flow and heat transfer of a FENE-P fluid with thermal radiation. Phys Lett A 372:2431–2439 Van Gorder RA, Vajravelu K (2010) A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. Appl Math Comput 217:460–465