Effects of Inclined Magnetic Field on Entropy Generation in Nanofluid Over a Stretching Sheet with Partial Slip and Nonlinear Thermal Radiation

B. Ganga1, M. Govindaraju2, A. K. Abdul Hakeem2
1Department of Mathematics, Providence College for Women, Coonoor, India
2Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India

Tóm tắt

The effects of inclined magnetic field on entropy generation in nanofluid over a stretching sheet were investigated in the presence of partial slip and nonlinear thermal radiation. Applying a similarity variable, the governing equations are reduced to a set of nonlinear ODEs. These equations are solved both analytically and numerically by hypergeometric function and Runge–Kutta Gill method with shooting technique, respectively. For Ag–water, magnetic, aligned angle, nanosolid volume fraction and slip parameters on velocity, temperature, skin friction coefficient and reduced Nusselt number were analyzed. The entropy generation for the influence of the same parameters, radiation parameter and the Reynolds number is discussed for Ag nanoparticles. It is observed that the nanosolid volume fraction and slip parameter reduce the entropy generation. But aligned magnetic field enhances the entropy generation.

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Tài liệu tham khảo

Abbasi FM, Hayat T, Alsaedi A (2015) Peristaltic transport of magneto-nanoparticles submerged in water: model for drug delivery system. Phys E 66:123–132

Abdul Hakeem AK, Kalaivanan R, Vishnu Ganesh N, Ganga B (2014) Effect of partial slip on hydromagnetic flow over a porous stretching sheet with non-uniform heat source/sink, thermal radiation and wall mass transfer. Ain Shams Eng J 5:913–922

Abdul Hakeem AK, Renuka P, Vishnu Ganesh N, Kalaivanan R, Ganga B (2016) Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer. J Magn Magn Mater 401:354–361

Abolbashari MH, Freidoonimehr N, Nazari F, Rashidi MM (2014) Entropy analysis for an unsteady MHD flow past a stretching permeable surface in nanofluid. Power Technol 267:256–267

Arpaci VS (1987) Radiative entropy production-lost heat into entropy. Int J Heat Mass Transf 30:2115–2123

Butt AS, Ali A, Mehmood A (2014) Irreversibility analysis of magnetohydrodynamic flow over a stretching sheet with partial slip and convective boundary. Int J Phys Sci 4:046–060

Das S, Jana RN (2014) Entropy generation due to MHD flow in a porous channel with Navier slip. Ain Shams Eng J 5:575–584

Farooq U, Zhao YL, Hayat T, Alsaedi A, Liao SJ (2015) Application of the HAM-based Mathematica package BVPh 2.0 on MHD Falkner–Skan flow of nano-fluid. Comput Fluids 111:69–75

Farooq M, Ijaz Khan M, Waqas M, Hayat T, Alsaedi A, Imran Khan M (2016) MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects. J Mol Liq 221:1097–1103

Govindaraju M, Vishnu Ganesh N, Ganga B, Abdul Hakeem AK (2015) Entropy generation analysis of magneto hydrodynamic flow of a nanofluid over a stretching sheet. J Egypt Math Soc 23:426–434

Hamad MAA (2011) Analytical solution of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field. Int Commun Heat Mass Transf 38:487–492

Hamad MAA, Pop I, Md Ismil AI (2011) Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate. Nonlinear Anal Real 12:1338–1346

Hayat T, Mehmood OU (2011) Slip effects on MHD flow of third order fluid in a planar channel. Commun Nonlinear Sci Numer Simulat 16:1363–1377

Hayat T, Javed T, Abbas Z (2008) Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space. Int J Heat Mass Transf 51:4528–4534

Hayat T, Muhammad T, Ahmad B, Shehzad SA (2013) Impact of magnetic field in three-dimensional flow of Sisko nanofluid with convective condition. J Magn Magn Mater 413:1–8

Hayat T, Muhammad T, Shehzad SA, Chen GQ, Ibrahim Abbas A (2015a) Interaction of magnetic field in flow of Maxwell nanofluid with convective effect. J Magn Magn Mater 389:48–55

Hayat T, Imtiaz M, Alsaedi A, Marwan Kutbi A (2015b) MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J Magn Magn Mater 396:31–37

Hayat T, Muhammad T, Shehzad SA, Alhuthali MS, Jinhu L (2015c) Impact of magnetic field in three-dimensional flow of an Oldroyd-B nanofluid. J Mol Liq 212:272–282

Hayat T, Muhammad T, Alsaedi A, Alhuthali MS (2015d) Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation. J Magn Magn Mater 385:222–229

Hayat T, Muhammad T, Qayyum A, Alsaedi A, Mustafa M (2016a) On squeezing flow of nanofluid in the presence of magnetic field effects. J Mol Liq 213:179–185

Hayat T, Qayyum S, Imtiaz M, Alsaedi A (2016b) Comparative study of silver and copper water nanofluids with mixed convection and nonlinear thermal radiation. Int J Heat Mass Transf 102:723–732

Hayat T, Shafique M, Tanveer A, Alsaedi A (2016c) Hall and ion slip effects on peristaltic flow of Jeffrey nanofluid with Joule heating. J Magn Magn Mater 407:51–59

Hayat T, Qayyum S, Imtiaz M, Alzahrani F, Alsaedi A (2016d) Partial slip effect in flow of magnetite-Fe3O4 nanoparticles between rotating stretchable disks. J Magn Magn Mater 413:39–48

Hayat T, Bibi S, Rafiq M, Alsaedi A, Abbasi FM (2016e) Effect of an inclined magnetic field on peristaltic flow of Williamson fluid in an inclined channel with convective conditions. J Magn Magn Mater 401:733–745

Hayat T, Qayyum S, Alsaedi A, Shafique M (2016f) Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation. Int J Heat Mass Transf 103:99–107

Hayat T, Muhammad T, Shehzad SA, Alsaedi A (2016g) On three-dimensional boundary layer flow of Sisko nanofluid with magnetic field effects. Adv Powder Technol 27:504–512

Hayat T, Farooq S, Alsaedi A, Ahmad B (2016h) Influence of variable viscosity and radial magnetic field on peristalsis of copper–water nanomaterial in a non-uniform porous medium. Int J Heat Mass Transf 103:1133–1143

Javed M, Hayat T, Mustafa M, Ahmad B (2016) Velocity and thermal slip effects on peristaltic motion of Walters-B fluid. Int J Heat Mass Transf 96:210–217

Khan K, Hayat T, Ayub M (2007) Numerical study of partial slip on the MHD flow of an Oldroyd 8-constant fluid. Comput Math Appl 53:1088–1097

Malvandi A, Ganji DD, Hedayati F, Yousefi Rad E (2013) An analytical study on entropy generation of nanofluids over a flat plate. Alex Eng J 52:595–604

Mushtaq A, Mustafa M, Hayat T, Alsaedi A (2014) Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: a numerical study. J Taiwan Inst Chem Eng 45:1176–1183

Nadeem S, Mehmood R, Motsa SS (2015) Numerical investigation on MHD oblique flow of a Walter’s B type nanofluid over a convective surface. Int J Therm Sci 92:162–172

Noghrehabadi A, Saffarian MR, Pourrajab R, Ghalambaz M (2013) Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip. J Mech Sci Technol 27:927–937

Rahman MM, Eltayeb IA (2013) Radiative heat transfer in a hydromagnetic nanofluid past a nonlinear stretching surface with convective boundary condition. Meccanica 48:601–615

Raju CSK, Sandeep N, Sulochana C, Sugunamma V, Jayachandra Babu M (2015) Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface. J Niger Math Soc 34:169–180

Rashidi MM, Hayat T, Erfani E, Mohimanian Pour SA, Awatif Hendi A (2011) Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk. Commun Nonlinear Sci Numer Simul 16:4303–4317

Rashidi MM, Abelman S, Freidooni Mehr N (2013) Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid. Int J Heat Mass Transf 62:515–525

Rashidi MM, Vishnu Ganesh N, Abdul Hakeem AK, Ganga B (2014) Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. J Mol Liq 198:234–238

Sajid M, Mahmood R, Hayat T (2008) Finite element solution for flow of a third grade fluid past a horizontal porous plate with partial slip. Comput Math Appl 56:1236–1244

Shehzad SA, Hayat T, Alsaedi A, Obid MA (2014) Nonlinear thermal radiation in three-dimensional flow of Jeffrey nanofluid: a model for solar energy. Appl Math Comput 248:273–286

Shehzad SA, Abdullah Z, Abbasi FM, Hayat T, Alsaedi A (2016) Magnetic field effect in three-dimensional flow of an Oldroyd-B nanofluid over a radiative surface. J Magn Magn Mater 399:97–108

Sulochana C, Sndeep N, Sugunamma V, Rushi Kumar B (2015) Aligned magnetic field and cross-diffusion effects of a nanofluid over an exponentially stretching surface in porous medium. Appl Nanosci. https://doi.org/10.1007/s13204-015-0475-x

Wang CY (1989) Free convection on a vertical stretching surface. J Appl Math Mech (ZAMM) 69:418–420

Woods LC (1975) Thermodynamics of fluid systems. Oxford University Press, Oxford