International Journal of Mathematics Trends and Technology
Volume 37 | Number 2 | Year 2016 | Article Id. IJMTT-V37P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P512
In this paper, we will study the resulting thermal similarity equation for laminar flow and heat transfer between two separated fluids for various Prandtl numbers and a range of values characterizing the hot fluid convection process. The problem of hydrodynamic and thermal boundary layers over a flat plate in a uniform stream of fluid has been solved analytically using homotopy analysis method (HAM) and numerically using Matlab bvp4c numerical routine. Velocity and temperature distributions were numerically discussed and presented in the graphs.Convergence of the HAM solution is checked. The effects of various Prandtl numbers and a range of values of the parameter characterizing the hot fluid convection process for similarity energy equation are considered. The temperature and heat transfer characteristics of the Blasius flow have been investigated if the convective heat transfer of the fluid heating the plate on its lower surface is proportional to . The comparison between analytical and numerical results has an excellent agreement with previously published works.
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M.S. Abdelmeguid, "Homotopy Analysis for laminar thermal boundary layer over a flat plate with a convective surface boundary condition," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 2, pp. 78-83, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P512
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