Open AccessAnalytical solution of Velocities and Temperature fields using Homotopy Analysis Method
Author(s) -
K. V. Tamil Selvi
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i1s.1975
Subject(s) - homotopy analysis method , prandtl number , mathematics , nonlinear system , partial differential equation , adomian decomposition method , mathematical analysis , ordinary differential equation , boundary value problem , method of characteristics , homotopy , differential equation , convection , mechanics , physics , pure mathematics , quantum mechanics
In this paper, analysis of nonlinear partial differential equations on velocities and temperature with convective boundary conditions are investigated. The governing partial differential equations are transformed into ordinary differential equations by applying similarity transformations. The system of nonlinear differential equations are solved using Homotopy Analysis Method (HAM). An analytical solution is obtained for the values of Magnetic parameter M2, Prandtl number Pr, Porosity parameter