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MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions

Author

Listed:
  • Taza Gul
  • Rehan Ali Shah
  • Saeed Islam
  • Muhammad Arif

Abstract

The problem of heat transfer analysis is considered in electrically conducting thin film flows with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological constitutive equation of a third grade fluid. We have solved the governing nonlinear equations of present problems using the traditional Adomian decomposition method (ADM). Particular attention is given to the combined effect of heat and MHD on the velocity field. The results include the profile of velocity, volume flux, skin friction, average velocity, and the temperature distribution across the film. The effects of model parameters on velocity, skin friction and temperature variation have been studied. Optimal homotopy asymptotic method (OHAM) is also used for comparison. The numerical results and absolute errors are derived in tables.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:707286
    DOI: 10.1155/2013/707286
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    References listed on IDEAS

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    1. Siddiqui, A.M. & Ahmed, M. & Ghori, Q.K., 2007. "Thin film flow of non-Newtonian fluids on a moving belt," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1006-1016.
    2. 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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    Cited by:

    1. Samuel O. Adesanya & Ramosheuw S. Lebelo & K. C. Moloi, 2018. "Evaluation of Heat Irreversibility in a Thin Film Flow of Couple Stress Fluid on a Moving Belt," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    2. Zeeshan Khan & Rehan Ali Shah & Saeed Islam & Bilal Jan, 2016. "Two‐Phase Flow in Wire Coating with Heat Transfer Analysis of an Elastic‐Viscous Fluid," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    3. 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).

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