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Nanofluid with nonlinear Rosseland thermal radiation and mixed convection

Year 2021, Volume: 5 Issue: 3, 412 - 420, 30.09.2021
https://doi.org/10.31197/atnaa.752667

Abstract

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.

References

  • [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.
Year 2021, Volume: 5 Issue: 3, 412 - 420, 30.09.2021
https://doi.org/10.31197/atnaa.752667

Abstract

References

  • [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.
There are 29 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Nazish Iftıkhar 0000-0003-1840-2262

Muhammad Bilal This is me 0000-0001-5153-297X

Azhar Ali Zafar This is me 0000-0003-2005-3743

Syed Muhammad Husnine This is me 0000-0002-3237-6681

Publication Date September 30, 2021
Published in Issue Year 2021 Volume: 5 Issue: 3

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