Three-Dimensional Hybrid Nanofluid Flow and Heat Transfer past a Permeable Stretching/Shrinking Sheet with Velocity Slip and Convective Condition |
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| Institution: | 1. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;2. Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia;3. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;4. Department of Mathematics, Babe?-Bolyai University, R-400084 Cluj-Napoca, Romania;5. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;6. Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;1. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh;2. Department of Applied Mathematics, Babe?-Bolyai University, Cluj-Napoca, Romania;1. Department of Mathematics, CHRIST(Deemed to be University), Bangalore 560029, India;2. Department of Sciences and Humanities, CHRIST(Deemed to be University), Bangalore 560074, India;3. Department of Mathematics, Davangere University, Davangere, Karnataka 577002, India;4. Department of Mathematics, K.L.E Societys J.T. College, Gadag, Karnataka 582101, India;1. Department of Mathematics, Shivagangothri, Davangere University, Davangere, India;2. Department of Energy and Process Engineering, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway;1. Department of Mathematics, Davangere University, Shivagangotri, Davangere 577 007, India;2. Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt;1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;2. Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;3. Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, 76100 Durian Tunggal, Melaka, Malaysia;4. Department of Mathematics, Babe?-Bolyai University, R-400084 Cluj-Napoca, Romania |
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| Abstract: | The present work deals with the three-dimensional hybrid Cu-Al2O3/water nanofluid flow towards a stretching/shrinking sheet with the presence of velocity slip and convective conditions. A permeable sheet is considered to maintain the shrinking flow through an adequate wall mass suction. The nonlinear governing boundary layer coupled with energy equations are transformed into the ordinary differential equations using similarity transformation. Numerical computations are performed with the aid of boundary value problem solver (bvp4c) in the Matlab software and the results are presented in the tables and graphs. The boundary layer separation occurs in the shrinking flow region. An upsurge of slip and copper nanoparticle volume fraction parameters can increase the range of first and second solutions whereas Biot parameter give zero impact on delaying the boundary layer separation. However, an increase of Biot and slip parameters can boost the heat transfer rate while opposite result is obtained with the augmentation of the copper solid volume fraction. The stability of both solutions are examined, and it is validated that the first (upper branch) solution is more stable than second solution. |
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