Mixed convection heat transfer from a vertical flat plate subjected to periodic oscillations

Abstract

In this study, effects on mixed convection heat transfer of oscillation parameters on a vertical flat plate surface subjected to constant heat flux are experimentally and numerically investigated. The experimental setup includes a hanger–pulley system installed above a transparent enclosure contain a moving experimental model, flywheel-motor assembly generating the oscillating movement of the experimental model, power supply, and datalogger. The experimental model comprises two copper plates with attached thermocouples and Kapton heaters placed between the plates. In the study, heat flux applied to surface of the plates (q″), the Womersley number (Wo) and dimensionless oscillation amplitude (Ao) are varied. The effects of these parameters on the heat transfer performance are analyzed. This study is numerically solved using a control-volume based Computational Fluid Dynamics solver based on experimental data. The numerical results are compared with the experimental results and open literature. Instantaneous velocity and temperature profiles on the plate are obtained to explain the heat transfer mechanism. According to the numerical and experimental results, heat transfer performance is significantly affected by oscillation parameters and heat flux applied to the plate surface. The mixed convection heat transfer increases with the increase in oscillation parameters for all tested heat fluxes. The obtained results are presented as a function of dimensionless numbers.

Keywords

• Heat transfer enhancement
• Mixed convection
• Oscillating vertical plate

References

1. [1] Cortell R. Flow and heat transfer in moving fluid over a moving flat surface. Theor. Comput. Fluid Dyn 2007; 21:435–446. doi:10.1007/s00162-007-0056-z.
2. [2] Akdag U, Cetin O, Demiral D, Ozkul I. Experimental investigation of convective heat transfer on a flat plate subjected to a transversely synthetic jet. Int. Comm. Heat Mass Transfer 2013; 49: 96-103. doi:10.1016/j.icheatmasstransfer.2013.08.020.
3. [3] Akdag U, Akcay S, Demiral D, Palancioglu H. Experimental investigation of heat transfer with a transversely pulsating jet on a flat plate. J. of Thermal Science and Technology 2018;8:2,63-74.
4. [4] Khonakdar DR, Raveshi MR. Mixed convection on a vertical plate in supercritical fluids by selecting the best equation of state. J. of Supercritical Fluids. 2016;107:549–559. doi:10.1016/j.supflu.2015.07.013.
5. [5] Akcay S, Akdag U. Parametric investigation of effect on heat transfer of pulsating flow of nanofluids in a tube using circular rings. Pamukkale University, Journal of Engineering Sciences 2018;24:4,597-604. doi: 10.5505/pajes.2017.70120.
6. [6] Akdag U, Akcay S, Demiral D. The investigation of the heat transfer characteristics of a cross-flow pulsating jet in a forced flow. Computational Thermal Sciences: An International Journal 2017;9:6,567–582. doi: 10.1615/ComputThermalScien.2017019765.
7. [7] Sayar E. Experimental development of a Nusselt correlation for forced reciprocating oscillated vertical annular glycerol flow through a porous domain. Heat and Mass Transfer 2017;53: 2351–2361. doi:10.1007/s00231-017-1987-6.
8. [8] Ellahi R, Alamri SZ, Basit A, Majeed A. Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation. Journal of Taibah University for Science 2018;12:4,476-482. doi: 10.1080/16583655.2018.1483795.

9. [9] Kareem AK, Gao S, Ahmed AQ. Unsteady simulations of mixed convection heat transfer in a 3D closed lid-driven cavity. International Journal of Heat and Mass Transfer 2016;100:121–130. doi: 10.1016/j.ijheatmasstransfer.2016.04.073.
10. [10] Chen TS, Strobel FA. Buoyancy effects on heat and mass transfer in boundary layer on a continuous, moving horizontal plate. Journal Numerical Heat Transfer 1980;3:1,115-130. doi.10.1080/01495728008961750.
11. [11] Calmidi VV, Mahajan RL. Mixed convection over a heated horizontal surface in a partial enclosure. International Journal of Heat and Fluid Flow 1998;19:358-367. doi:10.1016/S0142-727X(98)00002-2.
12. [12] Souza JA, Vargas JVC, Bianchi MVA. Friction and heat transfer for inclined surfaces in relative motion to an air stream under buoyancy effect. International Journal of Heat and Fluid Flow 2003;24:713-725. doi:10.1016/S0142-727X(03)00074-2.
13. [13] Strobel FA, Chen TS. Buoyancy effects on heat and mass transfer in boundary layers adjacent to inclined, continuous, moving sheets. Numerical Heat Transfer 1980;3:461-481. doi:10.1080/01495728008961771.
14. [14] Takhar HS, Chamkha AJ, Nath G. Effect of buoyancy forces on the flow and heat transfer over a continuous moving vertical or inclined surface. Int. J. Thermal Sci 2001;40:825–833. doi:10.1016/S1290-0729(01)01269-8.
15. [15] Khalid A, Khan I, Shafie S. Heat transfer in free convection flow of micropolar fluids over an oscillating vertical plate. Malaysian Journal of Fundamental and Applied Sciences 2017;13:4,654-658. doi: 10.11113/mjfas.v13n4.738.
16. [16] Lin HT, Hoh HL. Mixed convection from an isothermal vertical plate moving in a parallel or reversely to a free stream. Heat and Mass Transfer 1997;32:441-445. doi:10.1007/s002310050143.
17. [17] Pradhan B, Das SS, Paul AK, Dash RC. Unsteady free convection flow of a viscous incompressible polar fluid past a semi infinite vertical porous moving plate. International Journal of Applied Engineering Research 2017;12:21,10958-10963.
18. [18] Subhashini SV, Sumathi R. Dual solutions of a mixed convection flow of nanofluids over a moving vertical plate. Int. J. of Heat and Mass Transfer 2014;71:117–124. doi: 10.1016/j.ijheatmasstransfer.2013.12.034.
19. [19] Koffi M, Andreopoulos Y, Jiji L. Heat transfer enhancement by induced vortices in the vicinity of a rotationally oscillating heated plate. Int. J. Heat and Mass Transfer 2017;112:862-875. doi:10.1016/j.ijheatmasstransfer.2017.05.006.
20. [20] Fang T. Similarity solutions for a moving-flat plate thermal boundary layer. Acta. Mech 2003;163:161-172. doi:10.1007/s00707-003-0004-y.
21. [21] Tsou FK, Sparrow EM, Goldstein RJ. Flow and heat transfer in the boundary layer on a continuous moving surface. International Journal of Heat and Mass Transfer 1967;10:2,219-235. doi:10.1016/0017-9310(67)90100-7.
22. [22] Ghiasi A, Razavi SE, Rouboa A, Mahian O. Numerical study on flow over a confined oscillating cylinder with a splitter plate. Int. Journal of Numerical Methods for Heat & Fluid Flow 2019;29:5,1629-1646. doi.10.1108/HFF-06-2018-0286.
23. [23] Goma H, Al Taweel AM. Effect of oscillatory motion on heat transfer at vertical flat surfaces. International Journal of Heat and Mass Transfer 2005;48:1494–1504. doi:10.1016/j.ijheatmasstransfer.2004.10.017.
24. [24] Anilkumar D. Nonsimilar solutions for unsteady mixed convection from a moving vertical plate. Commun Nonlinear Sci Numer Simulat 2011;16:3147–3157. doi:10.1016/j.cnsns.2010.11.017.
25. [25] Andreozzi A, Bianco N, Manca O, Naso V. Turbulent mixed convection in uniformly heated vertical channel with an assisting moving surface. International Journal of Thermal Sciences 2013;71:20-31. doi:10.1016/j.ijthermalsci.2013.04.001.
26. [26] Ramesh GK, Chamkha AJ, Gireesha BJ. Boundary layer flow past an inclined stationary/moving flat plate with convective boundary condition. Afrika Matematika 2016;27:1,87–95. doi:10.1007/s13370-015-0323-x.
27. [27] Li G, Zheng Y, Yang H, Xu Y. Numerical investigation of heat transfer and fluid flow around the rectangular flat plane confined by a cylinder under pulsating flow. Journal of Applied Fluid Mechanics 2016;9:4,1569-1577. doi:10.18869/acadpub.jafm.68.235.24140.
28. [28] Krishna MV, Jyothi K. Hall effects on MHD rotating flow of a visco-elastic fluid through a porous medium over an infinite oscillating porous plate with heat source and chemical reaction. Materials Today: Proceedings 2018;5:367–380.doi:10.1016/j.matpr.2017.11.094.
29. [29] Patil PM, Roy M, Roy S. Momoniat E. Triple diffusive mixed convection along a vertically moving surface. Int. J. Heat Mass Transf 2018;117:287–295. doi:10.1016/j.ijheatmasstransfer.2017.09.106.
30. [30] Khan I, Shah NA, Tassaddiq A, Mustapha N, Kechi SA. Natural convection heat transfer in an oscillating vertical plate. PLoSONE 2018;13:1,1-14. doi:10.1371/journal.pone.0188656.
31. [31] Sarhan AR, Karim MR, Kadhim ZK, Naser J. Experimental investigation on the effect of vertical vibration on thermal performances of rectangular flat plate. Experimental Thermal and Fluid Science 2019;101:231-240. doi:10.1016/j.expthermflusci.2018.10.024.
32. [32] Lee S, Chiou J, Cyue G. Mixed convection in a square enclosure with a rotating flat plate. International Journal of Heat and Mass Transfer 2019;131:807-814. doi:10.1016/j.ijheatmasstransfer.2018.11.115.
33. [33] Incropera FP, Lavine AS, Bergman TL, DeWitt DP. Fundamentals of Heat and Mass Transfer, UK: Wiley; 2007.
34. [34] Holman JP. Experimental Methods for Engineers, Boston:McGraw-Hill; 2001.
35. [35] Ozdil NFT, Tantekin A, Erbay Z. Energy and exergy analyses of a fluidized bed coal combustor steam plant in textile industry. Fuel 2016;183:441-448. doi:10.1016/j.fuel.2016.06.091.
36. [36] Ozdil NFT, Segmen MR, Tantekin A. Thermodynamic analysis of an organic rankine cycle (ORC) based on industrial data. Applied Thermal Engineering 2015;91: 43-52. doi:10.1016/j.applthermaleng.2015.07.079.
37. [37] ANSYS Inc. ANSYS Fluent user’s guide 2018.
38. [38] Acrivos A. Combined laminer free-and forced- convection heat transfer in external flows. AIChE J 1958;4: 285-289. doi:10.1002/aic.690040310.
39. [39] Prasad KK, Ramanathan V. Heat transfer by free convection from a longitudinally vibrating vertical plate. Int. J. Heat Mass Transfer 1792;15:1213-1223. doi:10.1016/0017-9310(72)90186-X.