Impact of Nonlinear Motion on Convective Heat Transfer Induced by Oscillating Thermal Waves in the Presence of Heat Source and Sink.

The perspective of this paper is to provide detailed understanding about convective heat transfer influenced by oscillating thermal waves in the presence of heat source and sink. The study begins by formulating the continuity equation, momentum equation and heat equation to describe the complex, nonlinear dynamics of fluid flow, heat transfer and vorticity. These nonlinear equations are then converted into a dimensionless form using specific scaling variables to facilitate the analysis. The dimensionless equations are further transformed into steady and unsteady forms to account for different thermal and flow conditions. A primitive variable approach is employed and the finite difference method is used to obtain numerical results. Computational solutions are generated using FORTRAN Laher-90 and including graphs and tables, are created using Tecplot-360 to illustrate the effects of time-dependent vorticity and oscillating thermal waves on the system in the form of transient shear stress τ s and transient heat transfer τ t . The findings provide new insights into the interactions between vorticity, nonlinear fluid motion and thermal oscillations, offering valuable contributions to the understanding and optimization of convective heat transfer processes. The findings indicate that temperature distributions and velocity profiles increased for different values of heat source parameter (+ δ) , while both are showed opposite behavior for different values of heat sink parameter (− δ) in steady state. For unsteady state, heat source parameter at δ = 0. 2 and heat sink parameter at value δ = − 0. 3 , the amplitude of the wave of transient shear stress τ s increased and then showed a slightly disturbance in the phase angle for further values, similarly for the heat source parameter at value of δ = 0. 1 and heat sink parameter at value δ = − 0. 3 , the magnitude of the wave of transient heat transfer τ t showed increment. The coordinate system and flow configuration show the Nonlinear Oscillatory motion along with heat sink and source. Steady-state condition, heat source and sink parameter strongly govern temperature profile, heat sources (+δ) enhancing and heat sinks (–δ) diminishing them. In unsteady-state conditions, variations in heat source and sink parameter significantly affect transient rate of heat transfer (τt), altering their amplitude, phase, and magnitude. [ABSTRACT FROM AUTHOR]