Delta Perturbation Method for Thin Film Flow of a Third Grade Fluid on a Vertical Moving Belt

In this paper, we theoretically investigate the lift problem for thin film flow of a third-grade fluid on a vertical moving belt by using of delta perturbation method (DPM). The continuity and momentum equations model the problem and DPM method is employed to solve equations analytically. The DPM is type of perturbation technique and introduced by Bender and his colleagues in 1980s. Substitutions 𝛽2 + 𝛽3 = 0 and subsequently DPM method leads to Newtonian solution. The closed form expressions for velocity and temperature profiles, average velocity, volume flux and net upward flow are worked out. The relation between various emerging parameters and velocity profile v_z, and temperature profile are presented graphically and as well as by using table, from where, we have pointed out that third grade fluid will uplift quickly as the increase of dynamic viscosity and decrease of the constant parameters, density and uniform thickness, it is also noted for proposed model that temperature distribution rises for the constant parameters, uniform thickness and density of the fluid and small values of thermal conductivity and dynamic viscosity of the fluid.

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Work Title Delta Perturbation Method for Thin Film Flow of a Third Grade Fluid on a Vertical Moving Belt
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Open Access
Creators
  1. Syed Asad Raza Shah
  2. K. N. Memon
  3. S. F. Shah
  4. A. H. Sheikh
  5. A. M. Siddiqui
Keyword
  1. Thin film flow
  2. Delta perturbation method
  3. Third grade fluid
License CC BY-NC 4.0 (Attribution-NonCommercial)
Work Type Article
Publisher
  1. Journal of Statistics, Computing and Interdisciplinary Research
Publication Date June 20, 2022
Related URLs
Deposited May 06, 2024

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Version 1
published

  • Created
  • Added 94-Article_Text-249-1-10-20220701__1_-1.pdf
  • Added Creator Syed Asad Raza Shah
  • Added Creator K N Memon
  • Added Creator S F Shah
  • Added Creator A H Sheikh
  • Added Creator Abdul M Siddiqui
  • Published
  • Updated
  • Updated Keyword, Related URLs Show Changes
    Keyword
    • Thin film flow, Delta perturbation method, Third grade fluid
    Related URLs
    • https://scir.wum.edu.pk/index.php/ojs/article/view/94
  • Renamed Creator K. N. Memon Show Changes
    • K N Memon
    • K. N. Memon
  • Renamed Creator S. F. Shah Show Changes
    • S F Shah
    • S. F. Shah
  • Renamed Creator A. H. Sheikh Show Changes
    • A H Sheikh
    • A. H. Sheikh
  • Renamed Creator A. M. Siddiqui Show Changes
    • Abdul M Siddiqui
    • A. M. Siddiqui