Unsteady dusty fluid over a permeable shrinking surface: A comparative study
List of Authors
  • Nor Ashikin Abu Bakar , Rohana Abdul Hamid

Keyword
  • unsteady, dusty fluid, shrinking flow

Abstract
  • The work of unsteady flow of dusty fluid across a permeable shrinking sheet is a comparative numerical study. We explore two mathematical formulations for this problem and employ the bvp4c method in MATLAB software to solve both governing equations. It is clear from the findings that both outcomes are the same opposite sign of each other.

Reference
  • 1. Aleng, N. L., Bachok, N., & Arifin, N. M. (2015). Flow And Heat Transfer of a Nanofluid over an Exponentially Shrinking Sheet. Indian Journal of Science and Technology, 8(31), 1–6.

    2. Bhattacharyya, K., & Vajravelu, K. (2012). Stagnation-Point Flow and Heat Transfer Over an Exponentially Shrinking Sheet. Communications in Nonlinear Science and Numerical Simulation, 17(7), 2728–2734.

    3. Dalal, D. C., Datta, N., & Mukherjea, S. K. (1998). Unsteady Natural Convection of a Dusty Fluid in an Infinite Rectangular Channel. International Journal of Heat and Mass Transfer, 41(3), 547–562.

    4. Fang, T., Zhang, J., & Yao, S. (1992). Hydromagnetic Flow of a Dusty Fluid Over a Stretching Sheet. International Journal of Non-Linear Mechanics, 27(6), 937–945.

    5. Fang, T., Zhang, J., & Yao, S. (2009). Viscous Flow Over an Unsteady Shrinking Sheet with Mass Transfer. Chinese Physics Letter, 26(1), 014703.

    6. Hamid, R. A., Nazar, R., & Pop, I. (2017). Boundary Layer Flow of a Dusty Fluid over a Permeable Shrinking Surface. International Journal of Numerical Methods for Heat and Fluid Flow, 27(4).

    7. Ishak, A., Nazar, R., & Pop, I. (2007). Hydromagnetic Flow and Heat Transfer Adjacent to a Stretching Vertical Sheet. Heat and Mass Transfer, 44(8), 921–927.

    8. Mehmood, A. (2017). Viscous Flows Stretching and Shrinking of Surfaces (1st ed.). Springer, Cham.

    9. Mehmood, A., Dastgir Tabassum, G., Usman, M., & Dar, A. U. (2020). Unsteady Self-similar Flow over an Impulsively Started Shrinking Sheet: Flow Augmentation with No Separation. International Journal of Nonlinear Sciences and Numerical Simulation, 21(3–4), 319–325.

    10. Miklavčič, M., & Wang, C. Y. (2006). Viscous Flow Due to a Shrinking Sheet. Quarterly of Applied Mathematics, 46, 283–290.

    11. Roy, N.C. and Hossain, M.A. (2021). Flow And Heat Transfer of MHD Dusty Hybrid Nanofluids over a Shrinking Sheet. Chinese Journal of Physics, https://doi.org/10.1016/j.cjph.2021.12.012

    12. Sakiadis, B. C. (1961). Boundary Layer Behavior on Continuous Solid Surfaces. AIChE Journal, 7(1), 26–28.

    13. Sulochana, C., & Sandeep, N. (2016). Flow And Heat Transfer Behavior of MHD Dusty Nanofluid Past a Porous Stretching / Shrinking Cylinder at Different Temperatures. Journal of Applied Fluid Mechanics, 9(2), 543–553.

    14. Waini, I., Ishak, A., & Pop, I. (2020). Hiemenz Flow over a Shrinking Sheet in a Hybrid Nanofluid. Results in Physics, 19(September), 103351.

    15. Waini, I., Ishak, A., Pop, I. & Nazar, R. (2021). Dusty Hybrid Nanofluid Flow over a Shrinking Sheet with Magnetic Field Effects, International Journal of Numerical Methods for Heat & Fluid Flow, https://doi.org/10.1108/HFF-01-2021-0081

    16. Wu, L. (2016). Mass Transfer Induced Slip Effect on Viscous Gas Flows Above a Shrinking/Stretching Sheet. International Journal of Heat and Mass Transfer, 93, 17–22.