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Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt

Author

Listed:
  • T. Gul
  • S. Islam
  • R. A. Shah
  • I. Khan
  • L. C. C. Dennis

Abstract

This paper aims to study the influence of heat transfer on thin film flow of a reactive third order fluid with variable viscosity and slip boundary condition. The problem is formulated in the form of coupled nonlinear equations governing the flow together with appropriate boundary conditions. Approximate analytical solutions for velocity and temperature are obtained using Adomian Decomposition Method (ADM). Such solutions are also obtained by using Optimal Homotopy Asymptotic Method (OHAM) and are compared with ADM solutions. Both of these solutions are found identical as shown in graphs and tables. The graphical results for embedded flow parameters are also shown.

Suggested Citation

  • T. Gul & S. Islam & R. A. Shah & I. Khan & L. C. C. Dennis, 2015. "Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:386759
    DOI: 10.1155/2015/386759
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    References listed on IDEAS

    as
    1. Taza Gul & Rehan Ali Shah & Saeed Islam & Muhammad Arif, 2013. "MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-14, November.
    2. Taza Gul & Rehan Ali Shah & Saeed Islam & Muhammad Arif, 2013. "MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Siddiqui, A.M. & Mahmood, R. & Ghori, Q.K., 2008. "Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 140-147.
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