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2018 | OriginalPaper | Buchkapitel

Hall Current and Radiation Effects on Unsteady MHD Squeezing Nanofluid Flow in a Rotating Channel with Lower Stretching Permeable Wall

verfasst von : Shalini Jain, Shweta Bohra

Erschienen in: Applications of Fluid Dynamics

Verlag: Springer Singapore

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Abstract

In analysis of present model, we have analyzed the Hall current and radiative effects on unsteady MHD squeezing nanofluid in a rotating channel. The lower wall is permeable and linearly stretching, and the upper wall is squeezing downward in the presence of MHD. By introducing similarity transformation, we get the ordinary coupled differential equation. The transformed nonlinearly coupled differential equations are solved numerically by bvp4c solver using software MATLAB. We have taken nanoparticles of copper (Cu) and alumina (Al2O3) as base fluid (water). The effect of different parameters such as magnetic field parameter M, squeezing parameter Sq, rotational parameter ω, suction parameter w 0, nanofraction parameter ϕ, hall current parameter β e , radiation parameter N on velocity profile, and temperature profile is displayed through tables and graphs.

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Literatur
Zurück zum Zitat Bhattacharyya S, Pal A (1997) Unsteady MHD squeezing flow between two parallel rotating discs. Mech Res Commun 24:615–623CrossRefMATH Bhattacharyya S, Pal A (1997) Unsteady MHD squeezing flow between two parallel rotating discs. Mech Res Commun 24:615–623CrossRefMATH
Zurück zum Zitat Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128(3):240–250CrossRef Buongiorno J (2006) Convective transport in nanofluids. J Heat Transf 128(3):240–250CrossRef
Zurück zum Zitat Butt AS, Ali A (2015) Analysis of entropy generation effects in unsteady squeezing flow in a rotating channel with lower stretching permeable wall. J Taiwan Inst Chem Eng 48:8–17CrossRef Butt AS, Ali A (2015) Analysis of entropy generation effects in unsteady squeezing flow in a rotating channel with lower stretching permeable wall. J Taiwan Inst Chem Eng 48:8–17CrossRef
Zurück zum Zitat Chauhan DS, Rastogi P (2009) Hall current and heat transfer effects on mhd flow in a channel partially filled with a porous medium in a rotating system. Turk J Eng Environ Sci 33(3):167–184 Chauhan DS, Rastogi P (2009) Hall current and heat transfer effects on mhd flow in a channel partially filled with a porous medium in a rotating system. Turk J Eng Environ Sci 33(3):167–184
Zurück zum Zitat Chauhan DS, Agrawal R (2010) Effects of hall current on MHD flow in a rotating channel partially filled with a porous medium. Chem Eng Commun 197(6):830–845CrossRef Chauhan DS, Agrawal R (2010) Effects of hall current on MHD flow in a rotating channel partially filled with a porous medium. Chem Eng Commun 197(6):830–845CrossRef
Zurück zum Zitat Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Mater Sci 231:99–105 Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Mater Sci 231:99–105
Zurück zum Zitat Datta N, Jana RN (1977) Hall effects on hydromagnetic flow and heat transfer in a rotating channel. J Inst Math Appl 19:217–229CrossRefMATH Datta N, Jana RN (1977) Hall effects on hydromagnetic flow and heat transfer in a rotating channel. J Inst Math Appl 19:217–229CrossRefMATH
Zurück zum Zitat Duwairi HM, Tashtoush B, Damseh RA (2004) On heat transfer effects of a viscous fluid squeezed and extruded between two parallel plates. Heat Mass Transf 41:112–117CrossRef Duwairi HM, Tashtoush B, Damseh RA (2004) On heat transfer effects of a viscous fluid squeezed and extruded between two parallel plates. Heat Mass Transf 41:112–117CrossRef
Zurück zum Zitat Freidoonimehr N, Rostami B, Rashidi MM, Momoniat E (2014) Analytical modelling of three-dimensional squeezing nanofluid flow in a rotating channel on a lower stretching porous wall. Math Prob Eng 1:1–14CrossRefMathSciNet Freidoonimehr N, Rostami B, Rashidi MM, Momoniat E (2014) Analytical modelling of three-dimensional squeezing nanofluid flow in a rotating channel on a lower stretching porous wall. Math Prob Eng 1:1–14CrossRefMathSciNet
Zurück zum Zitat Ghosh SK, Beg OA, Narahari M (2009) Hall effects on MHD flow in a rotating system with heat transfer characteristics. Mechanica 44:741–765CrossRefMATHMathSciNet Ghosh SK, Beg OA, Narahari M (2009) Hall effects on MHD flow in a rotating system with heat transfer characteristics. Mechanica 44:741–765CrossRefMATHMathSciNet
Zurück zum Zitat Khan WA, Pop I (2010) Boundary layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2488CrossRefMATH Khan WA, Pop I (2010) Boundary layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2488CrossRefMATH
Zurück zum Zitat Khidir AA (2013) Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous medium with variable properties. Arab J Math 2:263–277CrossRefMATHMathSciNet Khidir AA (2013) Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous medium with variable properties. Arab J Math 2:263–277CrossRefMATHMathSciNet
Zurück zum Zitat Mahanthesh B, Gireesha BJ, Gorla RSR (2016) Mixed convection squeezing three-dimensional flow in a rotating channel filled with nanofluid. Int J Numer Meth Heat Fluid Flow 26(5):1460–1485CrossRefMATHMathSciNet Mahanthesh B, Gireesha BJ, Gorla RSR (2016) Mixed convection squeezing three-dimensional flow in a rotating channel filled with nanofluid. Int J Numer Meth Heat Fluid Flow 26(5):1460–1485CrossRefMATHMathSciNet
Zurück zum Zitat Makinde OD, Aziz A (2011) Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci 50(7):1326–1332CrossRef Makinde OD, Aziz A (2011) Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int J Therm Sci 50(7):1326–1332CrossRef
Zurück zum Zitat Mazumder BS (1977) Effect of wall conductances on hydromagnetic flow and heat transfer in a rotating channel. Acta Mech 28:85–99CrossRefMATH Mazumder BS (1977) Effect of wall conductances on hydromagnetic flow and heat transfer in a rotating channel. Acta Mech 28:85–99CrossRefMATH
Zurück zum Zitat Munawar S, Mehmood A, Ali A (2012) Three-dimensional squeezing flow in a rotating channel of lower stretching porous wall. Comput Math Appl 64:1575–1586CrossRefMATHMathSciNet Munawar S, Mehmood A, Ali A (2012) Three-dimensional squeezing flow in a rotating channel of lower stretching porous wall. Comput Math Appl 64:1575–1586CrossRefMATHMathSciNet
Zurück zum Zitat Mustafa M, Hayat T, Pop I, Asghar S, Obaidat S (2011) Stagnation-point flow of a nanofluid towards a stretching sheet. Int J Heat Mass Transf 54(25–26):5588–5594CrossRefMATH Mustafa M, Hayat T, Pop I, Asghar S, Obaidat S (2011) Stagnation-point flow of a nanofluid towards a stretching sheet. Int J Heat Mass Transf 54(25–26):5588–5594CrossRefMATH
Zurück zum Zitat Nanda RS, Mohanty HK (1971) Hydromagnetic flow in a rotating channel. Appl Sci Res 24:65–78CrossRefMATH Nanda RS, Mohanty HK (1971) Hydromagnetic flow in a rotating channel. Appl Sci Res 24:65–78CrossRefMATH
Zurück zum Zitat Nield D, Kuznetsov AV (2009) The cheng-minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transf 52(25–26):5792–5795CrossRefMATH Nield D, Kuznetsov AV (2009) The cheng-minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Transf 52(25–26):5792–5795CrossRefMATH
Zurück zum Zitat Pal D, Mandal G (2016) Effects of hall current on magnetohydrodynamic heat transfer of nanofluids over a non-linear stretching/shrinking sheet. Int J Appl Comput Math 2016:1–18 Pal D, Mandal G (2016) Effects of hall current on magnetohydrodynamic heat transfer of nanofluids over a non-linear stretching/shrinking sheet. Int J Appl Comput Math 2016:1–18
Zurück zum Zitat Pop I, Ghosh SK, Nandi DK (2001) Effects of the hall current on free and forced convection flows in a rotating channel in the presence of an inclined magnetic field. Magnetohydrodynamics 37:348–359 Pop I, Ghosh SK, Nandi DK (2001) Effects of the hall current on free and forced convection flows in a rotating channel in the presence of an inclined magnetic field. Magnetohydrodynamics 37:348–359
Zurück zum Zitat Prasad Rao DRV, Krishna DV, Debnath L (1982) Combined effect of free and forced convection on MHD flow in a rotating porous channel. Int J Math Math Sci 5:165–182CrossRefMATHMathSciNet Prasad Rao DRV, Krishna DV, Debnath L (1982) Combined effect of free and forced convection on MHD flow in a rotating porous channel. Int J Math Math Sci 5:165–182CrossRefMATHMathSciNet
Zurück zum Zitat Rana P, Bhargava R (2012) Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Commun Nonlinear Sci Numer Simul 17(1):212–226CrossRefMathSciNet Rana P, Bhargava R (2012) Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Commun Nonlinear Sci Numer Simul 17(1):212–226CrossRefMathSciNet
Zurück zum Zitat Seth GS, Singh MK (2008) Combined free and forced convection MHD flow in a rotating channel with perfectly conducting walls. Indian J Theo Phys 56:203–222 Seth GS, Singh MK (2008) Combined free and forced convection MHD flow in a rotating channel with perfectly conducting walls. Indian J Theo Phys 56:203–222
Zurück zum Zitat Seth GS, Ansari MS (2009) Magnetohydrodynamic convective flow in a rotating channel with Hall effects. Int J Theor Appl Mech 4:205–222 Seth GS, Ansari MS (2009) Magnetohydrodynamic convective flow in a rotating channel with Hall effects. Int J Theor Appl Mech 4:205–222
Zurück zum Zitat Shit GC, Haldar R (2012) Combined effects of thermal radiation and hall current on MHD free-convective flow and mass transfer over a stretching sheet with variable viscosity. J Appl Fluid Mech 5(2):113–121 Shit GC, Haldar R (2012) Combined effects of thermal radiation and hall current on MHD free-convective flow and mass transfer over a stretching sheet with variable viscosity. J Appl Fluid Mech 5(2):113–121
Zurück zum Zitat Stefan MJ, Versuch U (1874) ber die scheinbareAdhäsion. SitzungsberAbt II. ÖsterrAkadWiss Math-Naturwiss Kl 69:713–721 Stefan MJ, Versuch U (1874) ber die scheinbareAdhäsion. SitzungsberAbt II. ÖsterrAkadWiss Math-Naturwiss Kl 69:713–721
Zurück zum Zitat Vidyanidhi V (1969) Secondary flow of a conducting liquid in a rotating channel. J Math Phys Sci 3:193–199MATH Vidyanidhi V (1969) Secondary flow of a conducting liquid in a rotating channel. J Math Phys Sci 3:193–199MATH
Zurück zum Zitat Xuan Y, Li Q, Wang J (2003) Investigation on convective heat transfer and flow features of nanofluids. J Heat Transf 125(1): 151–155 Xuan Y, Li Q, Wang J (2003) Investigation on convective heat transfer and flow features of nanofluids. J Heat Transf 125(1): 151–155
Metadaten
Titel
Hall Current and Radiation Effects on Unsteady MHD Squeezing Nanofluid Flow in a Rotating Channel with Lower Stretching Permeable Wall
verfasst von
Shalini Jain
Shweta Bohra
Copyright-Jahr
2018
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-5329-0_9

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