Purpose This study aims to investigate the flow impinging on a stagnation point of a shrinking cylinder subjected to prescribed surface heat flux in Al2O3-Cu/water hybrid nanofluid. Design/methodology/approach Using similarity variables, the similarity equations are obtained and then solved using bvp4c in MATLAB. The effects of several physical parameters on the skin friction and heat transfer rate, as well as the velocity and temperature profiles are analysed and discussed. Findings The outcomes show that dual solutions are possible for the shrinking case, in the range lambda(c)<lambda<-1, where lambda(c) is the bifurcation point of the solutions. Meanwhile, the solution is unique for lambda >=-1. Besides, the boundary layer is detached on the surface at lambda c, where the value of lambda cis affected by the hybrid nanoparticle phi hnfand the curvature parameter gamma. Moreover, the friction and the heat transfer on the surface increase with the rising values phi hnfand gamma. Finally, the temporal stability analysis shows that the first solution is stable in the long run, whereas the second solution is not. Originality/value The present work considers the problem of stagnation point flow impinging on a shrinking cylinder containing Al2O3-Cu/water hybrid nanofluid, with prescribed surface heat flux. This paper shows that two solutions are obtained for the shrinking case. Further analysis shows that only one of the solutions is stable as time evolves.
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Univ Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Serdang, Selangor, MalaysiaUniv Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia
Arifin, Norihan Md
Khashi'ie, Najiyah Safwa
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Univ Tekn Malaysia Melaka, Fak Teknol Kejuruteraan Mekanikal Pembuatan, Durian Tunggal, Melaka, MalaysiaUniv Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia
Khashi'ie, Najiyah Safwa
Pop, Ioan
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Babes Bolyai Univ, Dept Math, Cluj Napoca, RomaniaUniv Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia
Pop, Ioan
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Bachok, Norfifah
Hafidzuddin, Ezad Hafidz
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Univ Putra Malaysia, Ctr Fdn Studies Agr Sci, Serdang, Selangor, MalaysiaUniv Putra Malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia
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Department of Mathematics, Shivagangotri, Davangere University, DavangereDepartment of Mathematics, Shivagangotri, Davangere University, Davangere
Mahabaleshwar U.S.
vanitha G.P.
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Department of Mathematics, Shivagangotri, Davangere University, Davangere
Department of Mathematics, Siddaganga Institute of Technology, TumkurDepartment of Mathematics, Shivagangotri, Davangere University, Davangere
vanitha G.P.
souayeh B.
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Department of Physics, College of Science, King Faisal University, Al-Ahsa
Laboratory of Fluid Mechanics, Department of Physics, Faculty of Sciences of Tunis, University of Tunis El Manar, TunisDepartment of Mathematics, Shivagangotri, Davangere University, Davangere
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Univ Teknikal Malaysia Melaka, Fak Teknol Kejuruteraan Mekanikal & Pembuatan, Durian Tunggal 76100, Melaka, MalaysiaUniv Teknikal Malaysia Melaka, Fak Teknol Kejuruteraan Mekanikal & Pembuatan, Durian Tunggal 76100, Melaka, Malaysia
Waini, Iskandar
Ishak, Anuar
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor, MalaysiaUniv Teknikal Malaysia Melaka, Fak Teknol Kejuruteraan Mekanikal & Pembuatan, Durian Tunggal 76100, Melaka, Malaysia
机构:
Univ Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia
Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, MalaysiaUniv Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia
Abu Bakar, Nor Ashikin
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Bachok, Norfifah
Arifin, Norihan Md
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Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor, Malaysia
Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, MalaysiaUniv Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia
Arifin, Norihan Md
Pop, Ioan
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Babes Bolyai Univ, Dept Appl Math, Cluj Napoca 400084, RomaniaUniv Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia
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Univ Tekn Malaysia Melaka, Fak Teknol Kejuruteraan Mekan & Pembuatan, Durian Tunggal 76100, Melaka, Malaysia
Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Ukm Bangi 43600, Selangor, MalaysiaUniv Tekn Malaysia Melaka, Fak Teknol Kejuruteraan Mekan & Pembuatan, Durian Tunggal 76100, Melaka, Malaysia
Waini, Iskandar
Ishak, Anuar
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Ukm Bangi 43600, Selangor, MalaysiaUniv Tekn Malaysia Melaka, Fak Teknol Kejuruteraan Mekan & Pembuatan, Durian Tunggal 76100, Melaka, Malaysia
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia
Sukkur IBA Univ, Dept Math & Social Sci, Sukkur 65200, Sindh, PakistanUniv Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia
Khan, Umair
Waini, Iskandar
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Univ Tekn Malaysia Melaka, Fak Teknol Kejuruteraan Mekan & Pembuatan, Durian Tunggal 76100, Melaka, MalaysiaUniv Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia
Waini, Iskandar
Ishak, Anuar
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Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, MalaysiaUniv Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia
Ishak, Anuar
Pop, Ioan
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Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, RomaniaUniv Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia
机构:
Univ Putra Malaysia, Inst Math Res, Serdang 43400, MalaysiaUniv Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Yahaya, Rusya Iryanti
Arifin, Norihan Md
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Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Univ Putra Malaysia, Dept Math & Stat, Serdang 43400, MalaysiaUniv Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Arifin, Norihan Md
Pop, Ioan
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Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, RomaniaUniv Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Pop, Ioan
Ali, Fadzilah Md
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Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Univ Putra Malaysia, Dept Math & Stat, Serdang 43400, MalaysiaUniv Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Ali, Fadzilah Md
Isa, Siti Suzilliana Putri Mohamed
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Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
Univ Putra Malaysia, Ctr Fdn Studies Agr Sci, Serdang 43400, MalaysiaUniv Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia