The present paper investigates heat-flux effect and the dissemination of energy in a rotating bent square micro-channel (MC) subject to a temperature gradient between the vertical sidewalls. The flow structure prevailing the problem is solved by applying a highly accurate spectral-based numerical scheme. The flow controlling parameters are the Dean number (0<Dn≤5000) and the Taylor number (-500 ≤ Tr ≤ 2000) for curvature 0.01 and the Grashof number, Gr=1000. After applying the arc-length path continuation technique to obtain steady solution (SS) curves, two branches of SS consisting of 2- to 8-vortex solutions are prevailed for the non-rotating case while a single branch with a symmetric 2-vortex solution is for positive rotation of the channel. Unsteady flow (UF) properties are simulated by the time-average of the solutions, and the transitional behavior is well predicted by contemplating the power spectrum and phase spaces of the solutions. Results manifest that the UF experiences a consequence ‘steady-state àmulti-periodic àsteady-state’ for no rotation of the channel as Dn is increased. For the rotating case, on the other hand, the flow advances in the scenario ‘steady-state àmulti-periodic àsteady-state’ for negative rotation and only a steady-state solution for rotation in the positive direction. Streamlines and isotherms of SS and UF for various values of the flow-controlling parameters are obtained. Centrifugal force impacts the fluid mixer, which then assists to turn the flow into chaos and prompts to intensify the convective heat transfer (CHT). J. of Sci. and Tech. Res. 4(1): 129-144, 2022
Since studies on fluid flow and energy dissemination through a bending duct (BD) plays prodigious contribution to both engineering and industrial standpoint, scientists have paid considerable attention to disclose new features of fluid flow through a BD. Taking this factor into account, the current work explores a computational approach on flow features and energy distribution through a bending rectangular duct of curvature 0.001 applying a spectral-based numerical scheme over a wide domain of the Dean number 0 < Dn ≤ 3000.The geometry is such that the bottom and outer side walls are thermally heated while the other walls are kept in room temperature. Newton-Raphson iteration method (N-R method) is adopted to inspect the branching structure of steady solutions (SS) which explores that there exist four branches of asymmetric steady solutions comprising 2- to 14-vortex solutions. The axial and secondary velocity distribution for each branch is investigated through different grid points by using different values of Dn. Unsteady flow characteristics are analyzed exquisitely by performing time-advancement of the solutions and flow transition is well determined by analyzing power spectrum (P-S) of the solutions. Axial flow, secondary flow, and temperature profiles have been depicted in accordance with Dn to wander the flow pattern, and it is predicted that the time-dependent flow (TDF) consists of asymmetric 2- to 10-vortex solutions. Finally, convective heat transfer (CHT) is analyzed by acquiring temperature contours for various types of physically realizable solutions. The study also demonstrates that centrifugal force comprehensively influences the fluid nature of the bending channel and CHT is more intensified due to chaotic phenomena of the flow.
The current study investigates the effects of rotation on fluid flow and heat transfer through a curved channel of rectangular cross-section with bottom wall heated and cooling from the top. A wide range of the Taylor number with constant curvature = 0.2, aspect ratio 2 and the Prandtl number Pr = 7.0 (water) have been considered for the study. After a broad investigation to explore transient flow behavior, time-history analysis is performed using phase trajectory of the transient solutions at fully developed stage. As a result, the stages of transient flow endure in the consequence “chaotic → periodic → multi-periodic → chaotic” for the rotating system in the negative direction comprising with 2- to 8- vortex solutions. It is further illustrated from stream function and energy distribution that the heat transfer is ominously enhanced at high rotation and the chaotic flow enhances heat transfer more significantly than the steady-state, periodic or other physically realizable solutions. Finally, the current numerical results are compared with laboratory-based experimental results and a good agreement is observed.
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