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Published in: Arabian Journal for Science and Engineering 7/2020

02-06-2020 | Research Article-Mechanical Engineering

Flow of Oldroyd-B Fluid over a Rotating Disk Through Porous Medium with Soret–Dufour Effects

Authors: Abdul Hafeez, Masood Khan, Jawad Ahmed, Awais Ahmed, Zahoor Iqbal

Published in: Arabian Journal for Science and Engineering | Issue 7/2020

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Abstract

A study of Darcy flow of magnetized Oldroyd-B fluid over a rotating porous disk is analyzed. The heat and mass transport mechanism are analyzed with the significant features of thermal diffusion (Soret) and diffusion thermo (Dufour). Additionally the influence of chemical reaction is also considered on solutal field. The Von Karman transformations are used and in order to obtain the similarity equations which are then integrated numerically on \(\left[ 0,\infty \right) \) through BVP Midrich technique in Maple. The results are given through graphical structure and tabular form. A brief parametric survey is conducted against velocity fields, temperature and concentration distributions in the form of graphs. The corresponding heat transfer rate and wall concentration gradient are displayed through tables with different physical effects. The comparison tables are presented to assure the validity of our numerical scheme with the past outcomes. It is revealed that the velocity fields decline with the effect of porosity parameter. The heat transfer rate rises significantly with diminishing value of Soret number.

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Literature
1.
go back to reference Von Karman, T.: Uberlaminare und turbulente Reibung. Z. Angew Math. Mech. ZAMM 1, 233–252 (1921)CrossRef Von Karman, T.: Uberlaminare und turbulente Reibung. Z. Angew Math. Mech. ZAMM 1, 233–252 (1921)CrossRef
2.
go back to reference Cochran, W.G.: The flow due to a rotating disk. Proc Camb. Philos. Soc. 30, 365–375 (1934)CrossRef Cochran, W.G.: The flow due to a rotating disk. Proc Camb. Philos. Soc. 30, 365–375 (1934)CrossRef
3.
go back to reference Benton, E.T.: On the flow due to a rotating disk. J. Fluid Mech. 24, 781–800 (1966)CrossRef Benton, E.T.: On the flow due to a rotating disk. J. Fluid Mech. 24, 781–800 (1966)CrossRef
4.
go back to reference Rashidi, M.M.; Kavyani, N.; Abelman, S.: Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties. Int. J. Heat Mass Transf. 70, 892–917 (2014)CrossRef Rashidi, M.M.; Kavyani, N.; Abelman, S.: Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties. Int. J. Heat Mass Transf. 70, 892–917 (2014)CrossRef
5.
go back to reference Khan, N.A.; Sultan, F.: Numerical analysis for the Bingham–Papanastasiou fluid flow over a rotating disk. J. Appl. Mech. Tech. Phys. 59, 638–644 (2018)MathSciNetCrossRef Khan, N.A.; Sultan, F.: Numerical analysis for the Bingham–Papanastasiou fluid flow over a rotating disk. J. Appl. Mech. Tech. Phys. 59, 638–644 (2018)MathSciNetCrossRef
6.
go back to reference Ahmed, J.; Khan, M.; Ahmad, L.: Transient thin film flow of nonlinear radiative Maxwell nanofluid over a rotating disk. Phys. Lett. A 383, 1300–1305 (2019)CrossRef Ahmed, J.; Khan, M.; Ahmad, L.: Transient thin film flow of nonlinear radiative Maxwell nanofluid over a rotating disk. Phys. Lett. A 383, 1300–1305 (2019)CrossRef
7.
go back to reference Ellahi, R.; Tariq, M.H.; Hassan, M.; Vafaia, K.: On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk. J. Mol. Liq. 229, 339–345 (2017)CrossRef Ellahi, R.; Tariq, M.H.; Hassan, M.; Vafaia, K.: On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk. J. Mol. Liq. 229, 339–345 (2017)CrossRef
8.
go back to reference Mahanthesh, B.; Gireesha, B.J.; Shehzad, S.A.; Rauf, A.; Kumar, P.B.S.: Nonlinear radiated MHD flow of nanoliquids due to a rotating disk with irregular heat source and heat flux condition. Phys. B Cond. Matt. 537, 98–104 (2018)CrossRef Mahanthesh, B.; Gireesha, B.J.; Shehzad, S.A.; Rauf, A.; Kumar, P.B.S.: Nonlinear radiated MHD flow of nanoliquids due to a rotating disk with irregular heat source and heat flux condition. Phys. B Cond. Matt. 537, 98–104 (2018)CrossRef
9.
go back to reference Gholinia, M.; Hosseinzadeh, K.; Mehrzadi, H.; Ganji, D.D.; Ranjbar, A.A.: Investigation of MHD Eyring–Powell fluid flow over a rotating disk under effect of homogeneous–heterogeneous reactions. Case Stud. Ther. Eng. 13, 100356 (2019)CrossRef Gholinia, M.; Hosseinzadeh, K.; Mehrzadi, H.; Ganji, D.D.; Ranjbar, A.A.: Investigation of MHD Eyring–Powell fluid flow over a rotating disk under effect of homogeneous–heterogeneous reactions. Case Stud. Ther. Eng. 13, 100356 (2019)CrossRef
10.
go back to reference Ahmed, J.; Khan, M.; Ahmad, L.: Stagnation point flow of Maxwell nanofluid over a permeable rotating disk with heat source/sink. J. Mol. Liq. 287, 110853 (2019)CrossRef Ahmed, J.; Khan, M.; Ahmad, L.: Stagnation point flow of Maxwell nanofluid over a permeable rotating disk with heat source/sink. J. Mol. Liq. 287, 110853 (2019)CrossRef
12.
go back to reference Hafeez, A.; Khan, M.; Ahmed, J.: Stagnation point flow of radiative Oldroyd-B nanofluid over a rotating disk. Comp. Methods Prog. Biomed. 191, 105342 (2020)CrossRef Hafeez, A.; Khan, M.; Ahmed, J.: Stagnation point flow of radiative Oldroyd-B nanofluid over a rotating disk. Comp. Methods Prog. Biomed. 191, 105342 (2020)CrossRef
14.
go back to reference Hafeez, A.; Khan, M.; Ahmed, J.: Flow of Oldroyd-B fluid over a rotating disk with Cattaneo–Christov theory for heat and mass fluxes. Comp. Methods Prog. Biomed. 191, 105374 (2020)CrossRef Hafeez, A.; Khan, M.; Ahmed, J.: Flow of Oldroyd-B fluid over a rotating disk with Cattaneo–Christov theory for heat and mass fluxes. Comp. Methods Prog. Biomed. 191, 105374 (2020)CrossRef
15.
go back to reference Cheng, P.; Minkowycz, W.J.: Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res. 82, 2040–2044 (1977)CrossRef Cheng, P.; Minkowycz, W.J.: Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike. J. Geophys. Res. 82, 2040–2044 (1977)CrossRef
16.
go back to reference Kou, H.S.; Huang, D.K.: Some transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall temperature. Int. Commun. Heat Mass Transf. 23, 273–286 (1996)CrossRef Kou, H.S.; Huang, D.K.: Some transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall temperature. Int. Commun. Heat Mass Transf. 23, 273–286 (1996)CrossRef
17.
go back to reference Kou, H.S.; Huang, D.K.: Possible transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall heat flux. Int. Commun. Heat Mass Transf. 23, 1031–1042 (1996)CrossRef Kou, H.S.; Huang, D.K.: Possible transformations for natural convection on a vertical flat plate embedded in porous media with prescribed wall heat flux. Int. Commun. Heat Mass Transf. 23, 1031–1042 (1996)CrossRef
18.
go back to reference Chamkha, A.J.: Solar radiation assisted natural convection in uniform porous medium supported by a vertical flat plate. ASME J. Heat Transf. 119, 89–96 (1997)CrossRef Chamkha, A.J.: Solar radiation assisted natural convection in uniform porous medium supported by a vertical flat plate. ASME J. Heat Transf. 119, 89–96 (1997)CrossRef
19.
go back to reference Chamkha, A.J.; Khaled, A.R.A.: Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid-saturated porous medium. Int. J. Numer. Methods Heat Fluid Flow 10, 455–477 (2000)CrossRef Chamkha, A.J.; Khaled, A.R.A.: Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid-saturated porous medium. Int. J. Numer. Methods Heat Fluid Flow 10, 455–477 (2000)CrossRef
20.
go back to reference Chamkha, A.J.; Al-Mudhaf, A.F.; Pop, I.: Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium. Int. Commun. Heat Mass Transf. 33, 1096–1102 (2006)CrossRef Chamkha, A.J.; Al-Mudhaf, A.F.; Pop, I.: Effect of heat generation or absorption on thermophoretic free convection boundary layer from a vertical flat plate embedded in a porous medium. Int. Commun. Heat Mass Transf. 33, 1096–1102 (2006)CrossRef
21.
go back to reference Modather, M.; Chamkha, A.J.: An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium. Turk. J. Eng. Environ. Sci. 33, 245–258 (2010) Modather, M.; Chamkha, A.J.: An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium. Turk. J. Eng. Environ. Sci. 33, 245–258 (2010)
22.
go back to reference Gorla, R.S.R.; Chamkha, A.J.: Natural convective boundary layer flow over a nonisothermal vertical plate embedded in a porous medium saturated with a nanofluid. Nanoscale Microscale Thermophys. Eng. 15, 81–94 (2011)CrossRef Gorla, R.S.R.; Chamkha, A.J.: Natural convective boundary layer flow over a nonisothermal vertical plate embedded in a porous medium saturated with a nanofluid. Nanoscale Microscale Thermophys. Eng. 15, 81–94 (2011)CrossRef
23.
go back to reference Chamkha, A.J.; Abbasbandy, S.; Rashad, A.M.; Vajravelu, K.: Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 48, 275–285 (2013)MathSciNetCrossRef Chamkha, A.J.; Abbasbandy, S.; Rashad, A.M.; Vajravelu, K.: Radiation effects on mixed convection about a cone embedded in a porous medium filled with a nanofluid. Meccanica 48, 275–285 (2013)MathSciNetCrossRef
24.
go back to reference Ghalambaz, M.; Behseresht, A.; Behseresht, J.; Chamkha, A.J.: Effects of nanoparticles diameter and concentration on natural convection of the Al2O3–water nanofluids considering variable thermal conductivity around a vertical cone in porous media. Adv. Powder Technol. 26, 224–235 (2015)CrossRef Ghalambaz, M.; Behseresht, A.; Behseresht, J.; Chamkha, A.J.: Effects of nanoparticles diameter and concentration on natural convection of the Al2O3–water nanofluids considering variable thermal conductivity around a vertical cone in porous media. Adv. Powder Technol. 26, 224–235 (2015)CrossRef
25.
go back to reference Reddy, P.S.; Sreedevi, P.; Chamkha, A.J.: MHD boundary layer flow, heat and mass transfer analysis over a rotating disk through porous medium saturated by Cu–water and Ag–water nanofluid with chemical reaction. Powder Technol. 307, 46–55 (2017)CrossRef Reddy, P.S.; Sreedevi, P.; Chamkha, A.J.: MHD boundary layer flow, heat and mass transfer analysis over a rotating disk through porous medium saturated by Cu–water and Ag–water nanofluid with chemical reaction. Powder Technol. 307, 46–55 (2017)CrossRef
26.
go back to reference Eckert, E.R.G.; Drake, R.M.: Analysis of Heat and Mass Transfer. McGraw Hill, New York (1987)MATH Eckert, E.R.G.; Drake, R.M.: Analysis of Heat and Mass Transfer. McGraw Hill, New York (1987)MATH
27.
go back to reference Jha, B.K.; Singh, A.K.: Soret effects on free-convection and mass transfer flow in the Stokes problem for an infinite vertical plate. Astrophys. Space Sci. 173, 251–255 (1990)CrossRef Jha, B.K.; Singh, A.K.: Soret effects on free-convection and mass transfer flow in the Stokes problem for an infinite vertical plate. Astrophys. Space Sci. 173, 251–255 (1990)CrossRef
28.
go back to reference Kafoussias, N.G.: MHD thermal-diffusion effects on free-convective and mass-transfer flow over an infinite vertical moving plate. Astrophys. Space Sci. 192, 11–19 (1992)CrossRef Kafoussias, N.G.: MHD thermal-diffusion effects on free-convective and mass-transfer flow over an infinite vertical moving plate. Astrophys. Space Sci. 192, 11–19 (1992)CrossRef
29.
go back to reference Alam, M.M.; Sattar, M.A.: Unsteady MHD free convection and mass transfer flow in a rotating system with thermal diffusion. J. Energy Heat Mass Transf. 20, 77–87 (1998) Alam, M.M.; Sattar, M.A.: Unsteady MHD free convection and mass transfer flow in a rotating system with thermal diffusion. J. Energy Heat Mass Transf. 20, 77–87 (1998)
30.
go back to reference Postelnicu, A.: Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Int. J. Heat Mass Transf. 47, 1467–1472 (2004)CrossRef Postelnicu, A.: Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Int. J. Heat Mass Transf. 47, 1467–1472 (2004)CrossRef
31.
go back to reference Tsai, R.; Huang, J.S.: Heat and mass transfer for Soret and Dufour’s effects on Hiemenz flow through porous medium onto a stretching surface. Int. J. Heat Mass Transf. 52, 2399–2406 (2009)CrossRef Tsai, R.; Huang, J.S.: Heat and mass transfer for Soret and Dufour’s effects on Hiemenz flow through porous medium onto a stretching surface. Int. J. Heat Mass Transf. 52, 2399–2406 (2009)CrossRef
32.
go back to reference Partha, M.K.; Murthy, P.V.S.N.; Sekhar, G.P.R.: Soret and Dufour effects in a non-Darcy porous medium. J. Heat Transf. 128, 605–610 (2006)CrossRef Partha, M.K.; Murthy, P.V.S.N.; Sekhar, G.P.R.: Soret and Dufour effects in a non-Darcy porous medium. J. Heat Transf. 128, 605–610 (2006)CrossRef
33.
go back to reference RamReddy, C.; Murthy, P.V.S.N.; Chamkha, A.J.; Rashad, A.M.: Soret effect on mixed convection flow in a nanofluid under convective boundary condition. Int. J. Heat Mass Transf. 64, 384–392 (2013)CrossRef RamReddy, C.; Murthy, P.V.S.N.; Chamkha, A.J.; Rashad, A.M.: Soret effect on mixed convection flow in a nanofluid under convective boundary condition. Int. J. Heat Mass Transf. 64, 384–392 (2013)CrossRef
34.
go back to reference Reddy, P.S.; Chamkha, A.J.: Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption. Adv. Powder Technol. 27, 1207–1218 (2016)CrossRef Reddy, P.S.; Chamkha, A.J.: Soret and Dufour effects on MHD convective flow of Al2O3–water and TiO2–water nanofluids past a stretching sheet in porous media with heat generation/absorption. Adv. Powder Technol. 27, 1207–1218 (2016)CrossRef
35.
go back to reference Shojaei, A.; Amiri, A.J.; Ardahaie, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Hydrothermal analysis of Non-Newtonian second grade fluid flow on radiative stretching cylinder with Soret and Dufour effects. Case Stud. Ther. Eng. 13, 100384 (2019)CrossRef Shojaei, A.; Amiri, A.J.; Ardahaie, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Hydrothermal analysis of Non-Newtonian second grade fluid flow on radiative stretching cylinder with Soret and Dufour effects. Case Stud. Ther. Eng. 13, 100384 (2019)CrossRef
36.
go back to reference Gregg, J.L.; Sparrow, E.M.: Heat transfer from a rotating disk to fluids of any Prandtl number. ASME J. Heat Transf. 81, 249–251 (1959)CrossRef Gregg, J.L.; Sparrow, E.M.: Heat transfer from a rotating disk to fluids of any Prandtl number. ASME J. Heat Transf. 81, 249–251 (1959)CrossRef
37.
go back to reference Bachok, N.; Ishak, A.; Pop, I.: Flow and heat transfer over a rotating porous disk in a nanofluid. Phys. B Cond. Matt. 406, 1767–1772 (2011)CrossRef Bachok, N.; Ishak, A.; Pop, I.: Flow and heat transfer over a rotating porous disk in a nanofluid. Phys. B Cond. Matt. 406, 1767–1772 (2011)CrossRef
38.
Metadata
Title
Flow of Oldroyd-B Fluid over a Rotating Disk Through Porous Medium with Soret–Dufour Effects
Authors
Abdul Hafeez
Masood Khan
Jawad Ahmed
Awais Ahmed
Zahoor Iqbal
Publication date
02-06-2020
Publisher
Springer Berlin Heidelberg
Published in
Arabian Journal for Science and Engineering / Issue 7/2020
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-020-04575-7

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