IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2020i1p30-d467854.html
   My bibliography  Save this article

Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation

Author

Listed:
  • Nur Syahirah Wahid

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, Serdang 43400, Selangor, Malaysia)

  • Norihan Md Arifin

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM, Serdang 43400, Selangor, Malaysia
    Institute for Mathematical Research, Universiti Putra Malaysia, UPM, Serdang 43400, Selangor, Malaysia)

  • Najiyah Safwa Khashi’ie

    (Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, Melaka 76100, Malaysia)

  • Ioan Pop

    (Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania)

Abstract

An investigation has been done on the hybrid nanofluid slip flow in the existence of heat generation over an exponentially stretching/shrinking permeable sheet. Hybridization of alumina and copper with water as the base fluid is considered. The mathematical model is simplified through the similarity transformation. A numerical solver named bvp4c in Matlab software is utilized to facilitate the problem-solving process and dual solutions are attained. The influences of several pertinent parameters on the main physical quantities of interest and the profiles are scrutinized and presented in the form of graphs. Through the stability analysis, only the first solution is considered as the physical solution. As such, the findings conclude that the upsurges of volume fraction on the copper nanoparticle could enhance the skin friction coefficient and the local Nusselt number.

Suggested Citation

  • Nur Syahirah Wahid & Norihan Md Arifin & Najiyah Safwa Khashi’ie & Ioan Pop, 2020. "Hybrid Nanofluid Slip Flow over an Exponentially Stretching/Shrinking Permeable Sheet with Heat Generation," Mathematics, MDPI, vol. 9(1), pages 1-20, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:30-:d:467854
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/1/30/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/1/30/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sarkar, Jahar & Ghosh, Pradyumna & Adil, Arjumand, 2015. "A review on hybrid nanofluids: Recent research, development and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 164-177.
    2. Ranga Babu, J.A. & Kumar, K. Kiran & Srinivasa Rao, S., 2017. "State-of-art review on hybrid nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 551-565.
    3. Sundar, L. Syam & Sharma, K.V. & Singh, Manoj K. & Sousa, A.C.M., 2017. "Hybrid nanofluids preparation, thermal properties, heat transfer and friction factor – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P1), pages 185-198.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rusya Iryanti Yahaya & Norihan Md Arifin & Ioan Pop & Fadzilah Md Ali & Siti Suzilliana Putri Mohamed Isa, 2022. "Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink," Mathematics, MDPI, vol. 10(9), pages 1-22, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Iskandar Waini & Anuar Ishak & Ioan Pop, 2020. "Squeezed Hybrid Nanofluid Flow Over a Permeable Sensor Surface," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
    2. Najiyah Safwa Khashi’ie & Norihan Md Arifin & Ioan Pop, 2020. "Mixed Convective Stagnation Point Flow towards a Vertical Riga Plate in Hybrid Cu-Al 2 O 3 /Water Nanofluid," Mathematics, MDPI, vol. 8(6), pages 1-21, June.
    3. Siti Nur Alwani Salleh & Norfifah Bachok & Ioan Pop, 2021. "Mixed Convection Stagnation Point Flow of a Hybrid Nanofluid Past a Permeable Flat Plate with Radiation Effect," Mathematics, MDPI, vol. 9(21), pages 1-17, October.
    4. Ali J. Chamkha & Sina Sazegar & Esmael Jamesahar & Mohammad Ghalambaz, 2019. "Thermal Non-Equilibrium Heat Transfer Modeling of Hybrid Nanofluids in a Structure Composed of the Layers of Solid and Porous Media and Free Nanofluids," Energies, MDPI, vol. 12(3), pages 1-27, February.
    5. Samah Hamze & David Cabaleiro & Dominique Bégin & Alexandre Desforges & Thierry Maré & Brigitte Vigolo & Luis Lugo & Patrice Estellé, 2020. "Volumetric Properties and Surface Tension of Few-Layer Graphene Nanofluids Based on a Commercial Heat Transfer Fluid," Energies, MDPI, vol. 13(13), pages 1-18, July.
    6. Ranga Babu, J.A. & Kumar, K. Kiran & Srinivasa Rao, S., 2017. "State-of-art review on hybrid nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 551-565.
    7. Xu, Yanyan & Xue, Yanqin & Qi, Hong & Cai, Weihua, 2021. "An updated review on working fluids, operation mechanisms, and applications of pulsating heat pipes," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    8. Naveed Ahmed & Fitnat Saba & Umar Khan & Ilyas Khan & Tawfeeq Abdullah Alkanhal & Imran Faisal & Syed Tauseef Mohyud-Din, 2018. "Spherical Shaped ( A g − F e 3 O 4 / H 2 O ) Hybrid Nanofluid Flow Squeezed between Two Riga Plates with Nonlinear Thermal Radiation and Chemical Reaction Effects," Energies, MDPI, vol. 12(1), pages 1-23, December.
    9. Najiyah Safwa Khashi’ie & Iskandar Waini & Anuar Ishak & Ioan Pop, 2022. "Blasius Flow over a Permeable Moving Flat Plate Containing Cu-Al 2 O 3 Hybrid Nanoparticles with Viscous Dissipation and Radiative Heat Transfer," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    10. Che Sidik, Nor Azwadi & Mahmud Jamil, Muhammad & Aziz Japar, Wan Mohd Arif & Muhammad Adamu, Isa, 2017. "A review on preparation methods, stability and applications of hybrid nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 1112-1122.
    11. M. Naveed & A. Arslan & H. M. A. Javed & T. Manzoor & M. M. Quazi & T. Imran & Z. M. Zulfattah & M. Khurram & I. M. R. Fattah, 2021. "State-of-the-Art and Future Perspectives of Environmentally Friendly Machining Using Biodegradable Cutting Fluids," Energies, MDPI, vol. 14(16), pages 1-35, August.
    12. Elsheikh, A.H. & Sharshir, S.W. & Mostafa, Mohamed E. & Essa, F.A. & Ahmed Ali, Mohamed Kamal, 2018. "Applications of nanofluids in solar energy: A review of recent advances," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3483-3502.
    13. Iskandar Waini & Anuar Ishak & Ioan Pop, 2021. "Flow towards a Stagnation Region of a Vertical Plate in a Hybrid Nanofluid: Assisting and Opposing Flows," Mathematics, MDPI, vol. 9(4), pages 1-16, February.
    14. Emad H. Aly & Alin V. Roşca & Natalia C. Roşca & Ioan Pop, 2021. "Convective Heat Transfer of a Hybrid Nanofluid over a Nonlinearly Stretching Surface with Radiation Effect," Mathematics, MDPI, vol. 9(18), pages 1-11, September.
    15. Humphrey ADUN & Mustapha Mukhtar & Micheal Adedeji & Terfa Agwa & Kefas Hyelda Ibrahim & Olusola Bamisile & Mustafa Dagbasi, 2021. "Synthesis and Application of Ternary Nanofluid for Photovoltaic-Thermal System: Comparative Analysis of Energy and Exergy Performance with Single and Hybrid Nanofluids," Energies, MDPI, vol. 14(15), pages 1-26, July.
    16. Iskandar Waini & Anuar Ishak & Ioan Pop, 2021. "Flow towards a Stagnation Region of a Curved Surface in a Hybrid Nanofluid with Buoyancy Effects," Mathematics, MDPI, vol. 9(18), pages 1-13, September.
    17. Sylwia Wciślik, 2020. "Efficient Stabilization of Mono and Hybrid Nanofluids," Energies, MDPI, vol. 13(15), pages 1-26, July.
    18. Iskandar Waini & Anuar Ishak & Ioan Pop, 2021. "Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface," Mathematics, MDPI, vol. 9(5), pages 1-18, March.
    19. Bhalla, Vishal & Tyagi, Himanshu, 2018. "Parameters influencing the performance of nanoparticles-laden fluid-based solar thermal collectors: A review on optical properties," Renewable and Sustainable Energy Reviews, Elsevier, vol. 84(C), pages 12-42.
    20. Sedighi, Mohammadreza & Padilla, Ricardo Vasquez & Alamdari, Pedram & Lake, Maree & Rose, Andrew & Izadgoshasb, Iman & Taylor, Robert A., 2020. "A novel high-temperature (>700 °C), volumetric receiver with a packed bed of transparent and absorbing spheres," Applied Energy, Elsevier, vol. 264(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:30-:d:467854. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.