MHD Thin Film Flows of a Third Grade Fluid on a Vertical Belt with Slip Boundary Conditions
Author(s) -
Taza Gul,
Rehan Ali Shah,
Saeed Islam,
Muhammad Arif
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/707286
Subject(s) - parasitic drag , mechanics , adomian decomposition method , magnetohydrodynamics , homotopy analysis method , slip (aerodynamics) , heat transfer , homotopy , boundary value problem , nonlinear system , mathematics , heat flux , boundary layer , mathematical analysis , classical mechanics , magnetic field , physics , partial differential equation , thermodynamics , quantum mechanics , pure mathematics
The problem of heat transfer analysis is considered in electrically conducting thin film flows with slip boundary conditions. The flow is assumed to be obeying the nonlinear rheological constitutive equation of a third grade fluid. We have solved the governing nonlinear equations of present problems using the traditional Adomian decomposition method (ADM). Particular attention is given to the combined effect of heat and MHD on the velocity field. The results include the profile of velocity, volume flux, skin friction, average velocity, and the temperature distribution across the film. The effects of model parameters on velocity, skin friction and temperature variation have been studied. Optimal homotopy asymptotic method (OHAM) is also used for comparison. The numerical results and absolute errors are derived in tables
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