Marangoni radiative effects of hybrid-nanofluids flow past a permeable surface with inclined magnetic field

Qasem M. Al-Mdallal; N. Indumathi; B. Ganga; A. K. Abdul Hakeem

doi:10.1016/j.csite.2019.100571

Marangoni radiative effects of hybrid-nanofluids flow past a permeable surface with inclined magnetic field

Qasem M. Al-Mdallal, N. Indumathi, B. Ganga, A. K. Abdul Hakeem

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

56 Citations (Scopus)

Abstract

This work scrutinizes the hybrid nanofluids flow past a flat surface with radiation together with the subsistence of aligned magnetic field. Three distinct hybrid nanofluids such as aluminium oxide-silicon dioxide/water (_{^{A_l2_O3-Si_O2/_H2O}}), aluminium oxide-titanium dioxide/water (_{^{A_l2_O3-Ti_O2/_H2O}}) and titanium dioxide-silicon dioxide/water (_{^{Ti_O2-Si_O2/_H2O}}) are used in this study through Marangoni boundary condition. The partial differential equations controlling the heat transfer problem were upgraded to ordinary differential equations utilizing appropriate similarity transformation. Analytical result of the ordinary differential equations is achieved using Laplace technique. The precision of the analytical solution of flow function is validated by numerical solutions. The physical parameters achieve on the flow field and temperature field are brought about by graph and tables and are deliberated in detail. The important findings are the surface velocity and rate of heat transfer is little higher for _{^{A_l2_O3-Si_O2/_H2O}} and _{^{Ti_O2-Si_O2/_H2O}} respectively. The permeable parameter has a direct relation with flow field and indirect relation with temperature field.

Original language	English
Article number	100571
Journal	Case Studies in Thermal Engineering
Volume	17
DOIs	https://doi.org/10.1016/j.csite.2019.100571
Publication status	Published - Feb 2020

Keywords

Flow field
Heat transfer
Hybrid-nanofluid
Inclined magnetic field
Marangoni effect
Permeable surface
Radiation

ASJC Scopus subject areas

Engineering (miscellaneous)
Fluid Flow and Transfer Processes

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10.1016/j.csite.2019.100571

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@article{f1790f495a62444897fb4dd5785ad81e,

title = "Marangoni radiative effects of hybrid-nanofluids flow past a permeable surface with inclined magnetic field",

abstract = "This work scrutinizes the hybrid nanofluids flow past a flat surface with radiation together with the subsistence of aligned magnetic field. Three distinct hybrid nanofluids such as aluminium oxide-silicon dioxide/water (Al2O3-SiO2/H2O), aluminium oxide-titanium dioxide/water (Al2O3-TiO2/H2O) and titanium dioxide-silicon dioxide/water (TiO2-SiO2/H2O) are used in this study through Marangoni boundary condition. The partial differential equations controlling the heat transfer problem were upgraded to ordinary differential equations utilizing appropriate similarity transformation. Analytical result of the ordinary differential equations is achieved using Laplace technique. The precision of the analytical solution of flow function is validated by numerical solutions. The physical parameters achieve on the flow field and temperature field are brought about by graph and tables and are deliberated in detail. The important findings are the surface velocity and rate of heat transfer is little higher for Al2O3-SiO2/H2O and TiO2-SiO2/H2O respectively. The permeable parameter has a direct relation with flow field and indirect relation with temperature field.",

keywords = "Flow field, Heat transfer, Hybrid-nanofluid, Inclined magnetic field, Marangoni effect, Permeable surface, Radiation",

author = "Al-Mdallal, {Qasem M.} and N. Indumathi and B. Ganga and {Abdul Hakeem}, {A. K.}",

note = "Funding Information: The authors wish to express their sincere thanks to the honourable referees for their valuable comments and suggestions to improve the quality of the paper. In addition Authors would like to acknowledge and express their gratitude to the United Arab Emirates University , Al Ain, UAE for providing the financial support with Grant No. 31S363-UPAR (4) 2018 . A Constant B 0 Uniform magnetic field, T C P Specific heat, J . k g . K − 1 f w Wall mass transfer k Thermal conductivity, W . m − 1 . K − 1 L Surface length, m M Magnetic parameter, M = δ B 0 2 s i n 2 α ς 1 ς 2 ρ f M a L Marangoni number, M a L = σ * Δ T L μ f α f N u x Local Nusselt number, N u x = − k h n f k f ζ 1 x θ ' ( 0 ) N u L Average Nusselt number, N u L = − k h n f k f M a L 1 / 3 P r 1 / 3 θ ' ( 0 ) P r Prandtl number, P r = μ f C P f k f q r Radiative heat flux, q r = − 4 σ * 3 k * ∂ T 4 ∂ y R Radiation parameter R e Reynolds number, R e = u w x ν f T Temperature, K Δ T Characteristic temperature, K x , y Cartesian co-ordinate, m u , v Velocity components along, m . s − 1 u w , v w Surface velocity, m . s − 1 Publisher Copyright: {\textcopyright} 2019 The Authors.",

year = "2020",

month = feb,

doi = "10.1016/j.csite.2019.100571",

language = "English",

volume = "17",

journal = "Case Studies in Thermal Engineering",

issn = "2214-157X",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - Marangoni radiative effects of hybrid-nanofluids flow past a permeable surface with inclined magnetic field

AU - Al-Mdallal, Qasem M.

AU - Indumathi, N.

AU - Ganga, B.

AU - Abdul Hakeem, A. K.

N1 - Funding Information: The authors wish to express their sincere thanks to the honourable referees for their valuable comments and suggestions to improve the quality of the paper. In addition Authors would like to acknowledge and express their gratitude to the United Arab Emirates University , Al Ain, UAE for providing the financial support with Grant No. 31S363-UPAR (4) 2018 . A Constant B 0 Uniform magnetic field, T C P Specific heat, J . k g . K − 1 f w Wall mass transfer k Thermal conductivity, W . m − 1 . K − 1 L Surface length, m M Magnetic parameter, M = δ B 0 2 s i n 2 α ς 1 ς 2 ρ f M a L Marangoni number, M a L = σ * Δ T L μ f α f N u x Local Nusselt number, N u x = − k h n f k f ζ 1 x θ ' ( 0 ) N u L Average Nusselt number, N u L = − k h n f k f M a L 1 / 3 P r 1 / 3 θ ' ( 0 ) P r Prandtl number, P r = μ f C P f k f q r Radiative heat flux, q r = − 4 σ * 3 k * ∂ T 4 ∂ y R Radiation parameter R e Reynolds number, R e = u w x ν f T Temperature, K Δ T Characteristic temperature, K x , y Cartesian co-ordinate, m u , v Velocity components along, m . s − 1 u w , v w Surface velocity, m . s − 1 Publisher Copyright: © 2019 The Authors.

PY - 2020/2

Y1 - 2020/2

N2 - This work scrutinizes the hybrid nanofluids flow past a flat surface with radiation together with the subsistence of aligned magnetic field. Three distinct hybrid nanofluids such as aluminium oxide-silicon dioxide/water (Al2O3-SiO2/H2O), aluminium oxide-titanium dioxide/water (Al2O3-TiO2/H2O) and titanium dioxide-silicon dioxide/water (TiO2-SiO2/H2O) are used in this study through Marangoni boundary condition. The partial differential equations controlling the heat transfer problem were upgraded to ordinary differential equations utilizing appropriate similarity transformation. Analytical result of the ordinary differential equations is achieved using Laplace technique. The precision of the analytical solution of flow function is validated by numerical solutions. The physical parameters achieve on the flow field and temperature field are brought about by graph and tables and are deliberated in detail. The important findings are the surface velocity and rate of heat transfer is little higher for Al2O3-SiO2/H2O and TiO2-SiO2/H2O respectively. The permeable parameter has a direct relation with flow field and indirect relation with temperature field.

AB - This work scrutinizes the hybrid nanofluids flow past a flat surface with radiation together with the subsistence of aligned magnetic field. Three distinct hybrid nanofluids such as aluminium oxide-silicon dioxide/water (Al2O3-SiO2/H2O), aluminium oxide-titanium dioxide/water (Al2O3-TiO2/H2O) and titanium dioxide-silicon dioxide/water (TiO2-SiO2/H2O) are used in this study through Marangoni boundary condition. The partial differential equations controlling the heat transfer problem were upgraded to ordinary differential equations utilizing appropriate similarity transformation. Analytical result of the ordinary differential equations is achieved using Laplace technique. The precision of the analytical solution of flow function is validated by numerical solutions. The physical parameters achieve on the flow field and temperature field are brought about by graph and tables and are deliberated in detail. The important findings are the surface velocity and rate of heat transfer is little higher for Al2O3-SiO2/H2O and TiO2-SiO2/H2O respectively. The permeable parameter has a direct relation with flow field and indirect relation with temperature field.

KW - Flow field

KW - Heat transfer

KW - Hybrid-nanofluid

KW - Inclined magnetic field

KW - Marangoni effect

KW - Permeable surface

KW - Radiation

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DO - 10.1016/j.csite.2019.100571

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VL - 17

JO - Case Studies in Thermal Engineering

JF - Case Studies in Thermal Engineering

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ER -

Marangoni radiative effects of hybrid-nanofluids flow past a permeable surface with inclined magnetic field

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