Volume 9 Issue 1 - September 2017

  • 1. Study of compressible fluid flow in boundary layer region by homotopy analysis method

    Authors : Achala L. Nargund, R. Madhusudhan, S. B. Sathyanarayana

    Pages : 28-39

    DOI : http://dx.doi.org/10.21172/1.91.05

    Keywords : Compressible boundary layer flowHomotopy analysis methodDomb Sykes plotPade approximationsh-curveRegion of convergenceSuctionInjectionFalkner-Skan transformationsFlow separation

    Abstract :

    The partial differential equations governing compressible boundary layer flowproblems cannot be solved as it is, many authors have solved these problems by reducing toode’s. Falkner-Skan transformations will reduce the governing partial differential equations into two non-linear partial differential equations. These equations are solved by HAM and theconvergence of this is studied by using the Domb Sykes plot. The effect of suction and injectionare studied on the velocity and temperature distribution and are depicted in a graph. It is alsoobserved that for large values of suction and injection flow separation exists in boundary layerregion. Pade approximation is also applied to HAM series solution which helped us to identifythe singularities. Convergence is verified by plotting h curve for all the three cases suction,injection, and no suction for both velocity and temperature.

    Citing this Journal Article :

    Achala L. Nargund, R. Madhusudhan, S. B. Sathyanarayana, "Study of compressible fluid flow in boundary layer region by homotopy analysis method", https://www.ijltet.org/journal_details.php?id=921&j_id=3969, Volume 9 Issue 1 - September 2017, 28-39, #ijltetorg