Two dimensional flow of mixed convection nanofluid on horizontal plate with the effect of nonlinear Rosseland thermal radiation has been investigated. Mathematical model of the problem is based on partial differential equations and optimal homotopy analysis method is applied to sort out solutions. Moreover, comprehensive study of influence of emerging parameters is carried out via graphical interpretation and tables.
[1] S.U.S. Choi, J.A. Estman, Enhancing thermal conductivity of fluids with nanoparticles, ASME-Publications-Fed. 231
(1995) 99-106.
[2] D. Pal, G. Mandal, Influence of thermal radiation on mixed convection heat and mass transfer stagnation-point flow in
nanofluids over stretching/shrinking sheet in a porous medium with chemical reaction, Nuclear Eng. and Design. 273 (2014)
644-652.
[3] T. Hayat, M.B. Ashraf, H.H. Alsulami, M.S Alhuthali, Three-dimensional mixed convection flow of viscoelastic fluid with
thermal radiation and convective conditions, Plos One. 9 (2014) e90038.
[4] F.M. Abbasi, S.A. Shehzad, T. Hayat, M.S. Alhuthali, Mixed convection flow of jeffrey nanofluid with thermal radiation
and double stratification, J. of Hydrodynamics. 28 (2016) 840-849.
[5] M. Sheikholeslami, D.D. Ganji, M.Y. Javed, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid
flow and heat transfer by means of two phase model, J. of Magnetism and Magnetic Materials. 374 (2015) 36-43.
[6] M.B. Ashraf, T. Hayat, S.A. Shehzad, A. Alsaedi, Mixed convection radiative flow of three dimensional Maxwell fluid over
an inclined stretching sheet in presence of thermophoresis and convective condition. AIP Advances, 5 (2015) 027134.
[7] T. Hayat, T. Muhammad, A. Alsaedi, M.S. Alhuthali, Magnetohydrodynamic three-dimensional flow of viscoelastic
nanofluid in the presence of nonlinear thermal radiation, J. of Magnetism and Magnetic Materials. 385 (2015) 222-229.
[8] S.A. Shehzad, T. Hayat, A. Alsaedi, M.A. Obid, Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid:
a model for solar energy. Appl. Math. and Comp. 248 (2014) 273-286.
[9] A. Pantokratoras, Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal
radiation. Int. J. of Thermal Sci. 84 (2014) 151-157.
[10] A. Pantokratoras, T. Fang, Sakiadis flow with nonlinear Rosseland thermal radiation, Physica Scripta. 87 (2012) 015703.
[11] M. Khan, R. Malik, M. Hussain, Nonlinear radiative heat transfer to stagnation-point flow of Sisko fluid past a stretching
cylinder. AIP Advances. 6 (2016) 055315.
[12] M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, Significance of nonlinear radiation in mixed convection flow of
magneto Walter-B nanoliquid, Int. J. of Hydrogen Energy, 42 (2017) 26408-26416.
[13] R. Cortell, Fluid flow and radiative nonlinear heat transfer over a stretching sheet, J. of King Saud Uni. Sci. 26 (2014)
161-167.
[14] S.K. Parida, S. Panda, B.R. Rout, MHD boundary layer slip flow and radiative nonlinear heat transfer over a flat plate
with variable fluid properties and thermophoresis, Alex. Eng. J. 54 (2015) 941-953.
[15] M. Farooq, M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, MHD stagnation point flow of viscoelastic nanofluid
with non-linear radiation effects. J. of Molecu. Liq. 221 (2016) 1097-1103.
[16] T. Hayat, S. Qayyum, A. Alsaedi, A. Shafiq, Inclined magnetic field and heat source/sink aspects in flow of nanofluid with
nonlinear thermal radiation, Int. J. of Heat and Mass Trans. 103 (2016) 99-107.
[17] T. Hayat, S. Qayyum, M. Imtiaz, A. Alsaedi, Comparative study of silver and copper water nanofluids with mixed convection
and nonlinear thermal radiation, Int. J. of Heat and Mass Trans. 102 (2016) 723-732.
[18] B.C. Prasannakumara, B.J. Gireesha, R.S. Gorla, M.R. Krishnamurthy, Effects of chemical reaction and nonlinear thermal
radiation on Williamson nanofluid slip flow over a stretching sheet embedded in a porous medium, J. of Aerosp. Eng. 29
(2016) 04016019.
[19] N.S. Shashikumar, M. Archana, B.C. Prasannakumara, B.J. Gireesha, O.D. Makinde, Effects of nonlinear thermal radiation
and second order slip on Casson nanofluid flow between parallel plates, In Defect and Diffusion Forum. 377 (2017) 84-94.
[20] M. Awais, T. Hayat, N. Muqaddass, A. Ali, S.E. Awan, Nanoparticles and nonlinear thermal radiation properties in the
rheology of polymeric material, Results in Phys. 8 (2018) 1038-1045.
[21] K.G. Kumar, N.G. Rudraswamy, B.J. Gireesha, M.R. Krishnamurthy, Influence of nonlinear thermal radiation and viscous
dissipation on three-dimensional flow of Jeffrey nano fluid over a stretching sheet in the presence of Joule heating, Nonlinear
Eng. 6 (2017) 207-219.
[22] K.G. Kumar, B.J. Gireesha, S. Manjunatha, N.G. Rudraswamy, Effect of nonlinear thermal radiation on double-diffusive
mixed convection boundary layer flow of viscoelastic nanofluid over a stretching sheet, Int. J. of Mech. and Materials Eng.
12 (2017) 18.
[23] B.C. Prasannakumara, B.J. Gireesha, M.R. Krishnamurthy, K.G. Kumar, MHD flow and nonlinear radiative heat transfer
of Sisko nanofluid over a nonlinear stretching sheet, Inf. in Medi. Unlocked. 9 (2017) 123-132.
[24] M. Archana, M.G. Reddy, B.J. Gireesha, B.C. Prasannakumara, S.A. Shehzad, Triple diffusive flow of nanofluid with
buoyancy forces and nonlinear thermal radiation over a horizontal plate, Heat Trans.Asian Research. 47 (2018) 957-
973.
[25] A. Pantokratoras, T. Fang, Blasius flow with non-linear Rosseland thermal radiation, Meccanica. 49 (2014) 1539-1545.
[26] I.L. Animasaun, C.S.K. Raju, N. Sandeep, Unequal diffusivities case of homogeneous-heterogeneous reactions within
viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation, Alex. Eng. J. 55 (2016)
1595-1606.
[27] T.V. Laxmi, B. Shankar, E?ect of nonlinear thermal radiation on boundary layer flow of viscous fluid over nonlinear
stretching sheet with injection/suction, J. of Appl. Math. and Phys. 4 (2016) 307.
[28] A.M. RamiReddy, J.V. Reddy, N. Sandeep, V. Sugunamma, Effect of Nonlinear Thermal Radiation on MHD Chemically
Reacting Maxwell Fluid Flow Past a Linearly Stretching Sheet, Appl. and Applied Math. 12 (2017).
[29] M. Waqas, M.I. Khan, T. Hayat, A. Alsaedi, M.I. Khan, Nonlinear thermal radiation in flow induced by a slendering
surface accounting thermophoresis and Brownian di?usion, The Eur. Phys. J. Plus, 132 (2017) 280.
[1] S.U.S. Choi, J.A. Estman, Enhancing thermal conductivity of fluids with nanoparticles, ASME-Publications-Fed. 231
(1995) 99-106.
[2] D. Pal, G. Mandal, Influence of thermal radiation on mixed convection heat and mass transfer stagnation-point flow in
nanofluids over stretching/shrinking sheet in a porous medium with chemical reaction, Nuclear Eng. and Design. 273 (2014)
644-652.
[3] T. Hayat, M.B. Ashraf, H.H. Alsulami, M.S Alhuthali, Three-dimensional mixed convection flow of viscoelastic fluid with
thermal radiation and convective conditions, Plos One. 9 (2014) e90038.
[4] F.M. Abbasi, S.A. Shehzad, T. Hayat, M.S. Alhuthali, Mixed convection flow of jeffrey nanofluid with thermal radiation
and double stratification, J. of Hydrodynamics. 28 (2016) 840-849.
[5] M. Sheikholeslami, D.D. Ganji, M.Y. Javed, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid
flow and heat transfer by means of two phase model, J. of Magnetism and Magnetic Materials. 374 (2015) 36-43.
[6] M.B. Ashraf, T. Hayat, S.A. Shehzad, A. Alsaedi, Mixed convection radiative flow of three dimensional Maxwell fluid over
an inclined stretching sheet in presence of thermophoresis and convective condition. AIP Advances, 5 (2015) 027134.
[7] T. Hayat, T. Muhammad, A. Alsaedi, M.S. Alhuthali, Magnetohydrodynamic three-dimensional flow of viscoelastic
nanofluid in the presence of nonlinear thermal radiation, J. of Magnetism and Magnetic Materials. 385 (2015) 222-229.
[8] S.A. Shehzad, T. Hayat, A. Alsaedi, M.A. Obid, Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid:
a model for solar energy. Appl. Math. and Comp. 248 (2014) 273-286.
[9] A. Pantokratoras, Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal
radiation. Int. J. of Thermal Sci. 84 (2014) 151-157.
[10] A. Pantokratoras, T. Fang, Sakiadis flow with nonlinear Rosseland thermal radiation, Physica Scripta. 87 (2012) 015703.
[11] M. Khan, R. Malik, M. Hussain, Nonlinear radiative heat transfer to stagnation-point flow of Sisko fluid past a stretching
cylinder. AIP Advances. 6 (2016) 055315.
[12] M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, Significance of nonlinear radiation in mixed convection flow of
magneto Walter-B nanoliquid, Int. J. of Hydrogen Energy, 42 (2017) 26408-26416.
[13] R. Cortell, Fluid flow and radiative nonlinear heat transfer over a stretching sheet, J. of King Saud Uni. Sci. 26 (2014)
161-167.
[14] S.K. Parida, S. Panda, B.R. Rout, MHD boundary layer slip flow and radiative nonlinear heat transfer over a flat plate
with variable fluid properties and thermophoresis, Alex. Eng. J. 54 (2015) 941-953.
[15] M. Farooq, M.I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M.I. Khan, MHD stagnation point flow of viscoelastic nanofluid
with non-linear radiation effects. J. of Molecu. Liq. 221 (2016) 1097-1103.
[16] T. Hayat, S. Qayyum, A. Alsaedi, A. Shafiq, Inclined magnetic field and heat source/sink aspects in flow of nanofluid with
nonlinear thermal radiation, Int. J. of Heat and Mass Trans. 103 (2016) 99-107.
[17] T. Hayat, S. Qayyum, M. Imtiaz, A. Alsaedi, Comparative study of silver and copper water nanofluids with mixed convection
and nonlinear thermal radiation, Int. J. of Heat and Mass Trans. 102 (2016) 723-732.
[18] B.C. Prasannakumara, B.J. Gireesha, R.S. Gorla, M.R. Krishnamurthy, Effects of chemical reaction and nonlinear thermal
radiation on Williamson nanofluid slip flow over a stretching sheet embedded in a porous medium, J. of Aerosp. Eng. 29
(2016) 04016019.
[19] N.S. Shashikumar, M. Archana, B.C. Prasannakumara, B.J. Gireesha, O.D. Makinde, Effects of nonlinear thermal radiation
and second order slip on Casson nanofluid flow between parallel plates, In Defect and Diffusion Forum. 377 (2017) 84-94.
[20] M. Awais, T. Hayat, N. Muqaddass, A. Ali, S.E. Awan, Nanoparticles and nonlinear thermal radiation properties in the
rheology of polymeric material, Results in Phys. 8 (2018) 1038-1045.
[21] K.G. Kumar, N.G. Rudraswamy, B.J. Gireesha, M.R. Krishnamurthy, Influence of nonlinear thermal radiation and viscous
dissipation on three-dimensional flow of Jeffrey nano fluid over a stretching sheet in the presence of Joule heating, Nonlinear
Eng. 6 (2017) 207-219.
[22] K.G. Kumar, B.J. Gireesha, S. Manjunatha, N.G. Rudraswamy, Effect of nonlinear thermal radiation on double-diffusive
mixed convection boundary layer flow of viscoelastic nanofluid over a stretching sheet, Int. J. of Mech. and Materials Eng.
12 (2017) 18.
[23] B.C. Prasannakumara, B.J. Gireesha, M.R. Krishnamurthy, K.G. Kumar, MHD flow and nonlinear radiative heat transfer
of Sisko nanofluid over a nonlinear stretching sheet, Inf. in Medi. Unlocked. 9 (2017) 123-132.
[24] M. Archana, M.G. Reddy, B.J. Gireesha, B.C. Prasannakumara, S.A. Shehzad, Triple diffusive flow of nanofluid with
buoyancy forces and nonlinear thermal radiation over a horizontal plate, Heat Trans.Asian Research. 47 (2018) 957-
973.
[25] A. Pantokratoras, T. Fang, Blasius flow with non-linear Rosseland thermal radiation, Meccanica. 49 (2014) 1539-1545.
[26] I.L. Animasaun, C.S.K. Raju, N. Sandeep, Unequal diffusivities case of homogeneous-heterogeneous reactions within
viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation, Alex. Eng. J. 55 (2016)
1595-1606.
[27] T.V. Laxmi, B. Shankar, E?ect of nonlinear thermal radiation on boundary layer flow of viscous fluid over nonlinear
stretching sheet with injection/suction, J. of Appl. Math. and Phys. 4 (2016) 307.
[28] A.M. RamiReddy, J.V. Reddy, N. Sandeep, V. Sugunamma, Effect of Nonlinear Thermal Radiation on MHD Chemically
Reacting Maxwell Fluid Flow Past a Linearly Stretching Sheet, Appl. and Applied Math. 12 (2017).
[29] M. Waqas, M.I. Khan, T. Hayat, A. Alsaedi, M.I. Khan, Nonlinear thermal radiation in flow induced by a slendering
surface accounting thermophoresis and Brownian di?usion, The Eur. Phys. J. Plus, 132 (2017) 280.