IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i2p556-567.html
   My bibliography  Save this article

Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium

Author

Listed:
  • Hayat, T.
  • Abbas, Z.

Abstract

In this paper, the heat transfer analysis is investigated for magnetohydrodynamic (MHD) flow in a porous channel. The second grade fluid fills the porous space inside the channel. The governing non-linear problem is solved analytically. Homotopy analysis method (HAM) is employed to obtain the expressions for velocity and temperature fields. Convergence of the obtained solutions is properly analyzed. Graphs are sketched and discussed for various pertinent parameters on the velocity and temperature fields.

Suggested Citation

  • Hayat, T. & Abbas, Z., 2008. "Heat transfer analysis on the MHD flow of a second grade fluid in a channel with porous medium," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 556-567.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:556-567
    DOI: 10.1016/j.chaos.2006.12.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907000057
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.12.004?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Song-Ping Zhu, 2006. "An exact and explicit solution for the valuation of American put options," Quantitative Finance, Taylor & Francis Journals, vol. 6(3), pages 229-242.
    2. Wu, Wan & Liao, Shi-Jun, 2005. "Solving solitary waves with discontinuity by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 177-185.
    3. Tan, Yue & Xu, Hang & Liao, Shi-Jun, 2007. "Explicit series solution of travelling waves with a front of Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 462-472.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hayat, T. & Abbas, Z. & Javed, T. & Sajid, M., 2009. "Three-dimensional rotating flow induced by a shrinking sheet for suction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1615-1626.
    2. Rashmi Mannu & Vaithinathan Karthikeyan & Murugendrappa Malalkere Veerappa & Vellaisamy A. L. Roy & Anantha-Iyengar Gopalan & Gopalan Saianand & Prashant Sonar & Binrui Xu & Kwang-Pill Lee & Wha-Jung , 2021. "Facile Use of Silver Nanoparticles-Loaded Alumina/Silica in Nanofluid Formulations for Enhanced Catalytic Performance toward 4-Nitrophenol Reduction," IJERPH, MDPI, vol. 18(6), pages 1-22, March.
    3. Hayat, T. & Abbas, Z. & Sajid, M., 2009. "MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 840-848.

    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. Sajid, M. & Hayat, T., 2008. "The application of homotopy analysis method to thin film flows of a third order fluid," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 506-515.
    2. Hayat, T. & Abbas, Z. & Sajid, M., 2009. "MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 840-848.
    3. Hayat, T. & Abbas, Z. & Javed, T. & Sajid, M., 2009. "Three-dimensional rotating flow induced by a shrinking sheet for suction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1615-1626.
    4. Allan, Fathi M., 2009. "Construction of analytic solution to chaotic dynamical systems using the Homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1744-1752.
    5. Sajid, M. & Hayat, T., 2009. "The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1317-1323.
    6. Abbasbandy, S., 2009. "Solitary wave solutions to the modified form of Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 428-435.
    7. Abbasbandy, S. & Parkes, E.J., 2008. "Solitary smooth hump solutions of the Camassa–Holm equation by means of the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 581-591.
    8. Maxim Ulrich & Lukas Zimmer & Constantin Merbecks, 2023. "Implied volatility surfaces: a comprehensive analysis using half a billion option prices," Review of Derivatives Research, Springer, vol. 26(2), pages 135-169, October.
    9. Wenting Chen & Kai Du & Xinzi Qiu, 2017. "Analytic properties of American option prices under a modified Black-Scholes equation with spatial fractional derivatives," Papers 1701.01515, arXiv.org.
    10. In oon Kim & Bong-Gyu Jang & Kyeong Tae Kim, 2013. "A simple iterative method for the valuation of American options," Quantitative Finance, Taylor & Francis Journals, vol. 13(6), pages 885-895, May.
    11. Qianru Shang & Brian Byrne, 2021. "American option pricing: Optimal Lattice models and multidimensional efficiency tests," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(4), pages 514-535, April.
    12. Takayuki Sakuma & Yuji Yamada, 2014. "Application of Homotopy Analysis Method to Option Pricing Under Lévy Processes," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 21(1), pages 1-14, March.
    13. Wu, Shi-Liang & Li, Wan-Tong, 2009. "Global asymptotic stability of bistable traveling fronts in reaction-diffusion systems and their applications to biological models," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1229-1239.
    14. Jun Cheng & Jin Zhang, 2012. "Analytical pricing of American options," Review of Derivatives Research, Springer, vol. 15(2), pages 157-192, July.
    15. Alghalith, Moawia, 2018. "Pricing the American options using the Black–Scholes pricing formula," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 443-445.
    16. Minqiang Li, 2010. "A quasi-analytical interpolation method for pricing American options under general multi-dimensional diffusion processes," Review of Derivatives Research, Springer, vol. 13(2), pages 177-217, July.
    17. Wenting Chen & Song-Ping Zhu, 2022. "On the Asymptotic Behavior of the Optimal Exercise Price Near Expiry of an American Put Option under Stochastic Volatility," JRFM, MDPI, vol. 15(5), pages 1-19, April.
    18. Zhongkai Liu & Tao Pang, 2016. "An efficient grid lattice algorithm for pricing American-style options," International Journal of Financial Markets and Derivatives, Inderscience Enterprises Ltd, vol. 5(1), pages 36-55.
    19. Alghalith, Moawia, 2020. "Pricing the American options: A closed-form, simple formula," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    20. Song-Ping Zhu & Nhat-Tan Le & Wen-Ting Chen & Xiaoping Lu, 2015. "Pricing Parisian down-and-in options," Papers 1511.01564, arXiv.org.

    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:eee:chsofr:v:38:y:2008:i:2:p:556-567. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.