Flow Reversal of Unsteady Oscillatory Flow in Combined Convection Fully Developed Vertical Channel
DOI:
https://doi.org/10.37934/arnht.17.1.5573Keywords:
Flow reversal, unsteady, fully developed vertical channel, oscillatory, non-uniform internal heating, combined convectionAbstract
Numerical simulations of flow and heat transfer in an unsteady oscillatory fully developed combined convection are conducted. The temperature on the right wall varies with sinusoidal rhythm over time within a locked mean temperature, whereas the temperature on the left wall remains constant. Both walls are also considered to be stationary. A numerical solution for the momentum and energy equations obtained using the Runga- Kutta method is used to analyze the effect of periodic oscillation on the velocity and temperature configurations, as well as the progression of heat generations. The combined convection process of heat transfer and its flow pattern in a vertical channel is important in many applications, including environmental, industrial, and engineering. This study is prompted by a problem with the heat transfer process, which is difficult, expensive, and time-consuming. The purpose of this study is to develop a mathematical model, find a numerical solution, and conduct parametric studies on the double-diffusive fully developed vertical channel with unsteady oscillatory flow, as well as to investigate the effect of various parameters on the velocity and temperature profiles. The effect of different dimensional parameters is tested and the flow reversal phenomenon is discussed. The dimensional equations are transformed into non-dimensional equations using the similarity technique. Then, the built-in program dsolve in Maple is used to numerically solve the boundary value problem (BVP). A validation study is conducted on a previously reported problem to confirm the validity of the present calculation. The flow and temperature numerical findings are represented visually. It is found that a large development of flow is caused by the plate temperature oscillation with high amplitude, therefore, the nature of the flow differs from the non-oscillating case.
References
Sparrow, E. M., G. M. Chrysler, and L. F. Azevedo. "Observed flow reversals and measured-predicted Nusselt numbers for natural convection in a one-sided heated vertical channel." (1984): 325-332. https://doi.org/10.1115/1.3246676
Najam, M., A. Amahmid, M. Hasnaoui, and M. El Alami. "Unsteady mixed convection in a horizontal channel with rectangular blocks periodically distributed on its lower wall." International Journal of Heat and Fluid Flow 24, no. 5 (2003): 726-735. https://doi.org/10.1016/S0142-727X(03)00063-8
Raptis, A. A., and C. P. Perdikis. "Oscillatory flow through a porous medium by the presence of free convective flow." International journal of engineering science 23, no. 1 (1985): 51-55. https://doi.org/10.1016/0020-7225(85)90015-1
Cebeci, Tuncer, A. A. Khattab, and R. LaMont. "Combined natural and forced convection in vertical ducts." In International Heat Transfer Conference Digital Library. Begel House Inc., 1982. https://doi.org/10.1615/IHTC7.2840
Aung, Win, and G. Worku. "Developing flow and flow reversal in a vertical channel with asymmetric wall temperatures." (1986): 299-304. https://doi.org/10.1115/1.3246919
El-Din, MM Salah. "Fully developed forced convection in a vertical channel with combined buoyancy forces." International communications in heat and mass transfer 19, no. 2 (1992): 239-248. https://doi.org/10.1016/0735-1933(92)90035-G
Hussein, Sameh A. "Numerical simulation for peristaltic transport of radiative and dissipative MHD Prandtl nanofluid through the vertical asymmetric channel in the presence of double diffusion convection." Numerical Heat Transfer, Part B: Fundamentals (2023): 1-27. https://doi.org/10.48550/arXiv.2207.09230
Legare, Sierra, Andrew Grace, and Marek Stastna. "Double diffusive instability with a constriction." Physics of Fluids 35, no. 2 (2023). https://doi.org/10.1063/5.0135159
Jha, Basant K., Abiodun O. Ajibade, and Deborah Daramola. "Mixed convection flow in a vertical tube filled with porous material with time-periodic boundary condition: steady-periodic regime." Afrika Matematika 26, no. 3-4 (2015): 529-543. https://doi.org/10.1007/s13370-013-0222-y
Jha, Basant K., and Abiodun O. Ajibade. "Free convective flow of heat generating/absorbing fluid between vertical porous plates with periodic heat input." International communications in heat and mass transfer 36, no. 6 (2009): 624-631. https://doi.org/10.1016/j.icheatmasstransfer.2009.03.003
Lin, Tsing-Fa, Tsai-Shou Chang, and Yu-Feng Chen. "Development of oscillatory asymmetric recirculating flow in transient laminar opposing mixed convection in a symmetrically heated vertical channel." (1993): 342-352. https://doi.org/10.1115/1.2910685
Tao, L. N. "On combined free and forced convection in channels." (1960): 233-238. https://doi.org/10.1115/1.3679915
Hamadah, T. T., and R. A. Wirtz. "Analysis of laminar fully developed mixed convection in a vertical channel with opposing buoyancy." Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C);(United States) 113, no. 2 (1991). https://doi.org/10.1115/1.2910593
Aung, W. "Mixed convection in internal flow." Handbook of single-phase convective heat transfer 15 (1987).
Incropera, Frank P. "Buoyancy effects in double-diffusive and mixed convection flows." In International Heat Transfer Conference Digital Library. Begel House Inc., 1986. https://doi.org/10.1615/IHTC8.2340
Umavathi, Jawali C., Ali J. Chamkha, Abdul Mateen, and Ali Al-Mudhaf. "Unsteady two-fluid flow and heat transfer in a horizontal channel." Heat and Mass Transfer 42, no. 2 (2005): 81-90. https://doi.org/10.1007/s00231-004-0565-x
Umavathi, Jawali C., and Marudappa Shekar. "Unsteady mixed convective flow confined between vertical wavy wall and parallel flat wall filled with porous and fluid layer." Heat Transfer Engineering 36, no. 1 (2015): 1-20. https://doi.org/10.1080/01457632.2014.897576
Debnath, Bhanjan, V. Kumaran, and K. Kesava Rao. "Comparison of the compressible μ (I) class of models and non-local models with the discrete element method (DEM) for steady fully developed flow of cohesionless granular materials through a vertical channel–CORRIGENDUM." Journal of Fluid Mechanics 955 (2023): E1. https://doi.org/10.1017/jfm.2022.1006
Quintiere, J., and W. K. Mueller. "An analysis of laminar free and forced convection between finite vertical parallel plates." (1973): 53-59. https://doi.org/10.1115/1.3450004
Pop, Ioan, Teodor Grosan, and Revnic Cornelia. "Effect of heat generated by an exothermic reaction on the fully developed mixed convection flow in a vertical channel." Communications in Nonlinear Science and Numerical Simulation 15, no. 3 (2010): 471-474. https://doi.org/10.1016/j.cnsns.2009.04.010
Jayabalan, C., K. K. Sivagnana Prabhu, and R. Kandasamy. "Heat enhanced by an exothermic reaction on a fully developed MHD mixed convection flow in a vertical channel." Journal of Applied Mechanics and Technical Physics 57 (2016): 957-962. https://doi.org/10.1134/S0021894416050242
Liu, W., P. Liu, J. B. Wang, N. B. Zheng, and Z. C. Liu. "Exergy destruction minimization: A principle to convective heat transfer enhancement." International Journal of Heat and Mass Transfer 122 (2018): 11-21. https://doi.org/10.1016/j.ijheatmasstransfer.2018.01.048
Bentoto, W., M. Zaydan, H. Amini Alaoui, E. Essaghir, and R. Sehaqui. "Mixed convection of a MHD oscillatory laminar flow of a nanofluid (Gold-Kerosene oil) in a vertical channel." Statistics, Optimization & Information Computing 11, no. 1 (2023): 55-69. https://doi.org/10.19139/soic-2310-5070-1725
Barletta, Antonio. "Laminar mixed convection with viscous dissipation in a vertical channel." International Journal of Heat and Mass Transfer 41, no. 22 (1998): 3501-3513. https://doi.org/10.1016/S0017-9310(98)00074-X
