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Axisymmetric Flow and Heat Transfer in TiO 2 / H 2 O Nanofluid over a Porous Stretching-Sheet with Slip Boundary Conditions via a Reliable Computational Strategy

Author

Listed:
  • Tahir Naseem

    (Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea)

  • Azeem Shahzad

    (Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan)

  • Muhammad Sohail

    (Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan)

  • Sameh Askar

    (Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

In this investigation, the motion of TiO 2 / H 2 O nano-structures towards heated and porous sheets by considering the MHD effect and partial slip at the boundary is inspected. The non-linear PDEs that correspond to the basic conservation laws are converted into ODEs with the help of suitable similarity transformation. Furthermore, the shooting method is used to solve these transformed ODEs and boundary conditions. The impact of thermophoresis properties has been shown graphically and the effect of these properties on the skin friction coefficient ( Cf ) and Nussetl number ( Nu ) are given in table form. The comparison between the present exploration and published work is carried out and validation among results is prepared. The enhancement in thermophysical parameters showed contrary results to the velocity profile of the TiO 2 / H 2 O nanofluid as compared with temperature profile. Moreover, it is observed that the higher estimation in the velocity slip parameter retards the flow and an enhancement in volume fraction increases the fluid’s temperature. Furthermore, it has been discovered that the geometry of nanoparticles has a major impact on the flow behaviour. The temperature distribution diminishes when the shape of the nanoparticles changes from platelet to spherical.

Suggested Citation

  • Tahir Naseem & Azeem Shahzad & Muhammad Sohail & Sameh Askar, 2023. "Axisymmetric Flow and Heat Transfer in TiO 2 / H 2 O Nanofluid over a Porous Stretching-Sheet with Slip Boundary Conditions via a Reliable Computational Strategy," Energies, MDPI, vol. 16(2), pages 1-22, January.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:2:p:681-:d:1027500
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    References listed on IDEAS

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    1. Sohail, Muhammad & Naz, Rahila, 2020. "Modified heat and mass transmission models in the magnetohydrodynamic flow of Sutterby nanofluid in stretching cylinder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    2. Alsabery, A.I. & Chamkha, A.J. & Saleh, H. & Hashim, I. & Chanane, B., 2017. "Effects of finite wall thickness and sinusoidal heating on convection in nanofluid-saturated local thermal non-equilibrium porous cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 20-38.
    3. Azeem Shahzad & Uzma Gulistan & Ramzan Ali & Azhar Iqbal & Ali Cemal Benim & Muhammad Kamran & Salah Ud-Din Khan & Shahab Ud-Din Khan & Aamir Farooq, 2020. "Numerical Study of Axisymmetric Flow and Heat Transfer in a Liquid Film over an Unsteady Radially Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, August.
    4. Umar Nazir & Muhammad Sohail & Muhammad Bilal Hafeez & Marek Krawczuk, 2021. "Significant Production of Thermal Energy in Partially Ionized Hyperbolic Tangent Material Based on Ternary Hybrid Nanomaterials," Energies, MDPI, vol. 14(21), pages 1-20, October.
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