Gravity-driven thin film flow of a third-grade fluid on a movable inclined plane with slip boundary condition

被引:0
|
作者
Deb, Purbasha [1 ]
Layek, G. C. [1 ]
机构
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
关键词
Third-grade fluid; thin film flow; partial slip; exact solution; STRETCHING SHEET; HEAT-TRANSFER; LAYER-FLOW;
D O I
10.1142/S2047684124500210
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The prime aim and essence of this study are to present a closed-form solution of the unidirectional velocity field for thin film flow generated by a third-grade liquid moving over a fixed or movable inclined plane in the presence of partial slip boundary condition. Consideration of partial slip makes this problem different from other published research works. Here lies the novelty of this study. The nondimensional, unidirectional velocity profiles rely on the material parameter of third-grade fluid, slip parameter and initial velocity of the movable plane. Study discloses that the fluid's velocity decelerates with raising the material property of grade-3 fluid and it accelerates with the slip parameter and initial velocity of the inclined plane. The outcomes of this study are deliberated physically at length.
引用
收藏
页数:16
相关论文
共 50 条
  • [1] On thin film flow of a third-grade fluid down an inclined plane
    Kumaran, V.
    Tamizharasi, R.
    Merkin, J. H.
    Vajravelu, K.
    ARCHIVE OF APPLIED MECHANICS, 2012, 82 (02) : 261 - 266
  • [2] On thin film flow of a third-grade fluid down an inclined plane
    V. Kumaran
    R. Tamizharasi
    J. H. Merkin
    K. Vajravelu
    Archive of Applied Mechanics, 2012, 82 : 261 - 266
  • [3] Numerical analysis of radiative MHD gravity-driven thin film third-grade fluid flow with exothermic reaction and modified Darcy's law on an inclined plane
    Khan, Idrees
    Zulkifli, Rozli
    Chinyoka, T.
    Ling, Zhi
    Shah, Murad Ali
    MECHANICS OF TIME-DEPENDENT MATERIALS, 2025, 29 (01)
  • [4] Thermal criticality for a reactive gravity driven thin film flow of a third-grade fluid with adiabatic free surface down an inclined plane
    Makinde, Oluwole Daniel
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 30 (03) : 373 - 380
  • [5] Thermal criticality for a reactive gravity driven thin film flow of a third-grade fluid with adiabatic free surface down an inclined plane
    Oluwole Daniel Makinde
    Applied Mathematics and Mechanics, 2009, 30 : 373 - 380
  • [6] Thermal criticality for a reactive gravity driven thin film flow of a third-grade fluid with adiabatic free surface down an inclined plane
    Oluwole Daniel Makinde
    Applied Mathematics and Mechanics(English Edition), 2009, 30 (03) : 373 - 380
  • [7] Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane
    Siddique, Imran
    Jamil, Raja Noshad
    Nadeem, Muhammad
    Khalifa, Hamiden Abd El-Wahed
    Alotaibi, Fakhirah
    Khan, Ilyas
    Andualem, Mulugeta
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [8] Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane
    Siddique, Imran
    Jamil, Raja Noshad
    Nadeem, Muhammad
    Abd El-Wahed Khalifa, Hamiden
    Alotaibi, Fakhirah
    Khan, Ilyas
    Andualem, Mulugeta
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [9] Transient gravity-driven flow of a third-grade fluid (TGF) on an inclined plane with non-isothermal effects, exothermic reactions, and porous medium influence
    Khan, Idrees
    Zulkifli, Rozli
    Chinyoka, T.
    Ling, Zhi
    Ahmad, Zubair
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2025, 105 (01):
  • [10] OHAM SOLUTION FOR THIN FILM FLOW OF THIRD-GRADE FLUID THROUGH POROUS MEDIUM OVER AN INCLINED PLANE
    Khan, N.
    Mahmood, T.
    Hashmi, M. S.
    HEAT TRANSFER RESEARCH, 2013, 44 (08) : 719 - 731