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A new analytical approach for the research of thin‐film flow of magneto hydrodynamic fluid in the presence of thermal conductivity and variable viscosity
Author(s) -
Ali Liaqat,
Tassaddiq Asifa,
Ali Rohail,
Islam Saeed,
Gul Taza,
Kumam Poom,
Mukhtar Safyan,
Khan Noor Saeed,
Thounthong Phatiphat
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900292
Subject(s) - homotopy analysis method , thermal conductivity , viscosity , magnetohydrodynamics , mechanics , homotopy , thermal conduction , fluid dynamics , magnetic field , porous medium , magneto , materials science , convergence (economics) , nonlinear system , flow (mathematics) , thermodynamics , porosity , mathematics , physics , composite material , power (physics) , quantum mechanics , pure mathematics , economics , economic growth
Abstract In this endeavor thin‐film flow of magneto hydrodynamic (MHD) fluid in the presence of thermal conductivity and variable viscosity over a porous steady stretching surface with a magnetic field and radioactive heat fluctuation is studied. In this phenomenon the viscosity vary inversely and thermal conductivity directly with temperature. The nonlinear coupled differential equations for the velocity and temperature profiles are achieved and solved by using a new analytical approach, called 3 rd form of Optimal Homotopy Asymptotic Method (OHAM‐3). The proposed technique consists of initial guess, embedding parameter, optimal convergence control parameters, auxiliary functions and homotopy. Numerical (ND‐Solve Method) solutions are also achieved and compared with the results gained by the proposed method. The fast convergence of the applied new method and the influence of different physical nondimensional parameters on the velocity and temperature profiles are mainly focused in this research.