IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n842650.html

Series Solutions of Lifting and Drainage Problems of a Nonisothermal Modified Second Grade Fluid Using a Vertical Cylinder

Author

Listed:
  • M. Farooq
  • M. T. Rahim
  • S. Islam
  • M. Arif

Abstract

We studied the thin film flow for lifting and drainage problems using an incompressible, nonisothermal modified second grade fluid. We developed nonlinear differential equations from momentum and energy equations, respectively. Series solutions for both lifting and drainage problems are obtained. Expressions for the velocity profile, temperature distribution, volume flux, average film velocity, and shear stress on cylinder for both cases are obtained. Effects of different parameters on the flow problems are presented graphically.

Suggested Citation

  • M. Farooq & M. T. Rahim & S. Islam & M. Arif, 2014. "Series Solutions of Lifting and Drainage Problems of a Nonisothermal Modified Second Grade Fluid Using a Vertical Cylinder," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:842650
    DOI: 10.1155/2014/842650
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/842650
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/842650?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. H. X. Mamatova & Z. K. Eshkuvatov & Sh. Ismail, 2023. "A Hybrid Method for All Types of Solutions of the System of Cauchy-Type Singular Integral Equations of the First Kind," Mathematics, MDPI, vol. 11(20), pages 1-30, October.
    2. Biazar, J. & Eslami, M. & Aminikhah, H., 2009. "Application of homotopy perturbation method for systems of Volterra integral equations of the first kind," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3020-3026.
    3. Mubashir Qayyum & Farnaz Ismail & Syed Inayat Ali Shah & Muhammad Sohail & Kanayo Kenneth Asogwa & Fatema Tuz Zohra, 2022. "Analysis of Fractional Thin Film Flow of Third Grade Fluid in Lifting and Drainage via Homotopy Perturbation Procedure," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    4. Biazar, J. & Ghazvini, H., 2009. "He’s homotopy perturbation method for solving systems of Volterra integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 770-777.
    5. Golbabai, A. & Keramati, B., 2009. "Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2316-2321.
    6. Fazle Mabood & Nopparat Pochai, 2015. "Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    7. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
    8. Golbabai, A. & Keramati, B., 2008. "Modified homotopy perturbation method for solving Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1528-1537.
    9. Adesanya, Samuel O. & Makinde, Oluwole D., 2015. "Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 222-229.
    10. 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).
    11. 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).
    12. 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).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:842650. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.