Heat Transfer and Entropy Generation in Vibrational Flow: Newtonian vs. Inelastic Non-Newtonian Fluid

Document Type : Regular Article

Authors

Bhilai Institute of Technology, Durg, CG, 491001, India

Abstract

A computational method is employed to solve heat transfer and entropy generation within a circular pipe. The thermal boundary condition assumes a constant wall temperature, while viscosity is taken to be dependent on temperature. A power-law type shear-thinning fluid is utilized in the analysis, with sinusoidal vibration applied horizontally perpendicular to the flow direction. Temperature distributions across the pipe are illustrated. Additionally, the entropy generation rate over the entire fluid volume under vibration was examined, comparing the results between steady flow and vibrational flow for both types of fluids. It was found that radial mixing is more pronounced in non-Newtonian fluids as vibration increases the strain rate, which is higher for low Reynolds numbers.  The research provides a quantitative analysis of heat transfer and entropy generation for both Newtonian and shear-thinning fluids at different Reynolds numbers. It was observed that the effectiveness of superimposed vibrational flow is limited, especially for low Reynolds numbers and flow behavior index characteristic of shear-thinning fluids.

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Main Subjects


ANSYS CFX, U. M. (2022). ANSYS, Inc. USA.
Arasavelli, S., Konijeti, R., & Budda, G. (2021). Influence of transverse vibrations on convective heat transfer in parallel flow tube-in-tube heat exchanger. Heat Transfer, 50(3), 1985-2006. https://doi.org/10.1002/htj.21965
Bejan, A. (1979). A study of entropy generation in fundamental convective heat transfer. Journal of Heat Transfer, 101(4), 718-725. https://doi.org/10.1115/1.3451063
Chen, X., Du, A., Li, Z., Liang, K., Wang, X., Zhang, M., & Wang, Y. (2023). Heat transfer of single-phase spray cooling on heated vibrating surfaces. Case Studies in Thermal Engineering, 50, 103489. https://doi.org/10.1016/j.csite.2023.103489
Chen, X., Du, A., Li, Z., Liang, K., Wang, X., Zhang, M., & Wang, Y. (2024). The effect of vibration on droplet dynamics and heat transfer of spray cooling. Applied Thermal Engineering, 238, 122074. https://doi.org/10.1016/j.applthermaleng.2023.122074
Chhabra, R. P., & Richardson, J. F. (1999). Non-Newtonian flow in the process industries: fundamentals and engineering applications. Oxford: Butterworth Heinemann.
Esfahani, J., & Shahabi, P. (2010). Effect of non-uniform heating on entropy generation for the laminar developing pipe flow of a high Prandtl number fluid. Energy Conversion and Management, 51, 2087-2097. https://doi.org/10.1016/j.enconman.2010.02.022
Gangadhar M, P., Rao, B. G., Sreenivasulu, B., & Arasavelli, S. S. (2022). Effect of vibration on heat transfer to laminar non-Newtonian nanofluid flowing through a circular pipe: A numerical analysis. Numerical Heat Transfer, Part A: Applications, 82(11), 683-699. https://doi.org/10.1080/10407782.2022.2083862
Mishra, S., Chandra, H. S., & Arora, A. (2019a). Effects on heat transfer and radial temperature profile of non-isoviscous vibrational flow with varying Reynolds number. Journal of Applied Fluid Mechanics, 12(1), 135-144. https://doi.org/10.29252/JAFM.75.253.28952
Mishra, S., Chandra, H., & Arora, A. (2019b). Application of vibration on heat transfer - A review. I-manager’s Journal on Future Engineering & Technology, 15(1), 72-81. https://doi.org/10.26634/jfet.15.1.15877
Mishra, S., Chandra, H., & Arora, A. (2019c). Effect of velocity and rheology of nanofluid on heat transfer of laminar vibrational flow through a pipe under constant heat flux. International Nano Letters, 9, 245-256. https://doi.org/10.1007/s40089-019-0276-4
Mishra, S., Chandra, H., & Arora, A. (2019d). Numerical investigation of the effects of velocity and particle concentration on heat transfer of vibrational flow of non-newtonian nanofluid. I-manager’s Journal on Mathematics, 8(1), 34-46. https://doi.org/10.26634/jmat.8.1.16239
Mishra, S., Chandra, H., & Arora, A. (2020). CFD study of heat transfer effect on nanofluid of Newtonian and non-Newtonian type under vibration. Chemical Product and Process Modeling, 16(4), 20200027. https://doi.org/10.1515/cppm-2020-0027
Mohammed, A., Kapan, S., Sen, M., & Celik, N. (2021). Effect of vibration on heat transfer and pressure drop in a heat exchanger with turbulator. Case Studies in Thermal Engineering, 28, 101680. https://doi.org/10.1016/j.csite.2021.101680
Prattipati, R., Narla, V. K., & Pendyala, S. (2021). Effect of viscosity on entropy generation for laminar flow in helical pipes. Journal of Thermal Engineering, 7(5), 1100-1109. https://doi.org/10.18186/thermal.977960
Sahin, A., & Ben-Mansour, R. (2002). Entropy generation in laminar fluid flow through a circular pipe. Entropy, 5(5), 404-416. https://doi.org/10.3390/e5050404
Setareh, M., Saffar-Avval, M., & Abdullah, A. (2019). Experimental and numerical study on heat transfer enhancement using ultrasonic vibration in a double-pipe heat exchanger. Applied Thermal Engineering, 159, 113867. https://doi.org/10.1016/j.applthermaleng.2019.113867
Shah, R. K., & Bhatti, M. S. (1987). Laminar convective heat transfer in ducts. In R. K. Shah, S. Kakac & W. Aung (Eds.), Handbook of single phase convective heat transfer. New York: Wiley.
Tanner, R. I. (1985). Engineering Rheology. Oxford: Clarendon Press.
Tian, S. and Barigou, M. (2015). CFD modelling of oscillatory perturbed advection in viscous flows [Ph.D. thesis, University of Birmingham]. Birmingham, UK.
Wang, W., Zhang, Y., Liu, J., Wu, Z., Li, B., & Sundén, B. (2018). Entropy generation analysis of fully-developed turbulent heat transfer flow in inward helically corrugated tubes. Numerical Heat Transfer, Part A: Applications, 73(11), 788-805. https://doi.org/10.1080/10407782.2018.1459137
Zamzari, F., Mehrez, Z., & Cafsi, A. (2017). Numerical investigation of entropy generation and heat transfer of pulsating flow in a horizontal channel with an open cavity. Journal of Hydrodynamices, 29, 632-646. https://doi.org/10.1016/S1001-6058(16)60776-X
Zhao, Y., Wu, H., & Dang, C. (2023). effect of mechanical vibration on heat and mass transfer performance of pool boiling process in porous media : a literature review. Frontiers in Energy Research, 11, 1288515. https://doi.org/10.3389/fenrg.2023.1288515