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Adomian decomposition method for the MHD flow of a viscous fluid with the influence of dissipative heat energy
Author(s) -
Acharya S.,
Nayak B.,
Mishra S. R.,
Jena S.
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21844
Subject(s) - dissipative system , adomian decomposition method , heat transfer , mechanics , joule heating , flow (mathematics) , nonlinear system , fluid dynamics , partial differential equation , viscous liquid , heat generation , dissipation , magnetohydrodynamics , physics , thermodynamics , classical mechanics , mathematics , mathematical analysis , plasma , quantum mechanics
An investigation is carried out on the effect of dissipative heat energy on the flow of an electrically conducting viscous fluid past a shrinking sheet. Both viscous and Joule dissipation effects are considered along with heat generation/absorption for the enhancement of heat transfer properties. The governing nonlinear coupled partial differential equations are transformed into nonlinear ordinary differential equations by a suitable choice of similarity transformations. However, the complex transformed equations are solved by an approximate analytical method known as the Adomian decomposition method with a suitable initial guess solution assumed from the known initial conditions. Moreover, the behavior of several parameters characterizing the flow phenomena are studied via graphs and the numerical computations for the engineering coefficients are obtained and presented through tables. However, the major outcomes of the results are that a higher suction is required to resist the fluid temperature and sinks as well as the dissipative heat energy favors enhancing the fluid temperature at all points in the flow domain.