Abstract

The present contribution deals with the study of amplitude and phase angle of periodical mixed convective fluid flow along the non-conducting circular cylinder. The surface of cylinder is thermally and electrically conducting by keeping surface temperature as a time dependent variable. The developed dimensionless equations are transformed into analytical expressions for flow characteristics by using primitive variable formulation which converts nonlinear PDE’s into primitive form for numerical data. The graphical representations of physical properties phase angle and amplitude are obtained for various values of Prandtl number Pr, mixed-convection parameter λ , magnetic-Prandtl number γ and magnetic force parameter ξ respectively. To demonstrate important properties of the solution, a parametric study is conducted for governing parameters and a set of graphical and numerical outcomes is analyzed. The amplitude of time dependent skin friction τ w , heat transfer q w and current density j w has been observed on suitable positions of the non-conducting cylinder π / 6 , π / 4 , π / 2 , 3 π / 4 , 5 π / 6 and π numerically. It is noticed that the maximum amplitude of time dependent skin friction τ w , heat transfer q w and current density j w is noted at position α = π / 2 by increasing the various amount of physical pertinent parameters.

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