Analysis of transient mixed convection in a horizontal channel partially heated from below
DOI:
https://doi.org/10.15587/1729-4061.2021.238649Keywords:
mixed convection, channel, uniform heat flux, Richardson number, open cavityAbstract
The heat convection phenomenon has been investigated numerically (mathematically) for a channel located horizontally and partially heated at a uniform heat flux with forced and free heat convection. The investigated horizontal channel with a fluid inlet and the enclosure was exposed to the heat source from the bottom while the channel upper side was kept with a constant temperature equal to fluid outlet temperature. Transient, laminar, incompressible and mixed convective flow is assumed within the channel. Therefore, the flow field is estimated using Navier Stokes equations, which involves the Boussinesq approximation. While the temperature field is calculated using the standard energy model, where, Re, Pr, Ri are Reynolds number, Prandtl number, and Richardson number, respectively. Reynolds number (Re) was changed during the test from 1 to 50 (1, 10, 25, and 50) for each case study, Richardson (Ri) number was changed during the test from 1 to 25 (1, 5, 10, 15, 20, and, 25). The average Nusselt number (Nuav) increases exponentially with the Reynold number for each Richardson number and the local Nusselt number (NuI) rises in the heating point. Then gradually stabilized until reaching the endpoint of the channel while the local Nusselt number increases with a decrease in the Reynolds number over there. In addition, the streamlines and isotherms patterns in case of the very low value of the Reynolds number indicate very low convective heat transfer with all values of Richardson number. Furthermore, near the heat source, the fluid flow rate rise increases the convection heat transfer that clarified the Nusselt number behavior with Reynolds number indicating that maximum Nu No. are 6, 12, 27 and 31 for Re No. 1, 10, 25 and 50, respectively
Supporting Agency
- The author would like to acknowledge the support of the University of Technology (Baghdad-Iraq).
References
- Kazem, H. A., Al-Waeli, A. H. A., Chaichan, M. T., Sopian, K. (2021). Numerical and experimental evaluation of nanofluids based photovoltaic/thermal systems in Oman: Using silicone-carbide nanoparticles with water-ethylene glycol mixture. Case Studies in Thermal Engineering, 26, 101009. doi: https://doi.org/10.1016/j.csite.2021.101009
- Abbas, H. M., Ali, I. M., Al-Najjar, H. M. T. (2021). Experimental Study of Electrical and Thermal Efficiencies of a Photovoltaic Thermal (PVT) Hybrid Solar Water Collector with and Without Glass Cover. Journal of Engineering, 27 (1), 1–15. doi: https://doi.org/10.31026/j.eng.2021.01.01
- Lee, B., Chu, W., Li, W. (2020). Effects of Process Parameters on Graphene Growth Via Low-Pressure Chemical Vapor Deposition. Journal of Micro and Nano-Manufacturing, 8 (3). doi: https://doi.org/10.1115/1.4048494
- Habeeb, L. J., Mutasher, D. G., Abd Ali, F. A. M. (2018). Solar Panel Cooling and Water Heating with an Economical Model Using Thermosyphon. Jordan Journal of Mechanical and Industrial Engineering, 12 (3), 189–196.
- Wong, K.-C., Saeid, N. H. (2009). Numerical study of mixed convection on jet impingement cooling in a horizontal porous layer-using Brinkman-extended Darcy model. International Journal of Thermal Sciences, 48 (1), 96–104. doi: https://doi.org/10.1016/j.ijthermalsci.2008.03.006
- Al-Mousawe, S. T. M., Hadi, J. M., Hazim, S. M., Al-Qrimli, H. F., Habeeb, L. J. (2021). Combined Forced and Free Convection within an Enclosure Filled with a Porous Medium. Journal of Mechanical Engineering Research and Developments, 44 (2), 293–305.
- Bhattacharyya, S., Sarkar, A., Das, S., Mullick, A. (2017). Computational studies of heat transfer enhancement in a circular wavy micro channel. Chemical Engineering Transactions, 62, 361–366. doi: https://doi.org/10.3303/CET1762061
- Bhattacharyya, S., Benim, A. C., Chattopadhyay, H., Banerjee, A. (2018). Experimental investigation of heat transfer performance of corrugated tube with spring tape inserts. Experimental Heat Transfer, 32 (5), 411–425. doi: https://doi.org/10.1080/08916152.2018.1531955
- Majdi, H. S., Abed, A. M., Habeeb, L. J. (2021). Mixed Convection Heat Transfer of CuO-H2O Nanofluid in a Triangular Lid-Driven Cavity with Circular Inner Body. Journal of Mechanical Engineering Research and Developments, 44 (1), 164–175.
- Bahlaoui, A., Raji, A., Lamsaadi, M., Naïmi, M., Hasnaoui, M. (2007). Mixed Convection in a Horizontal Channel with Emissive Walls and Partially Heated from Below. Numerical Heat Transfer, Part A: Applications, 51 (9), 855–875. doi: https://doi.org/10.1080/10407780601112746
- Burgos, J., Cuesta, I., Salueña, C. (2016). Numerical study of laminar mixed convection in a square open cavity. International Journal of Heat and Mass Transfer, 99, 599–612. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2016.04.010
- Al-Zuhairy, R. C., Alturaihi, M. H., Abd Ali, F. A. M., Habeeb, L. J., (2020). Numerical Investigation of Heat Transfer in Enclosed Square Cavity. Journal of Mechanical Engineering Research and Developments, 43 (6), 388–403.
- Ataei-Dadavi, I., Rounaghi, N., Chakkingal, M., Kenjeres, S., Kleijn, C. R., Tummers, M. J. (2019). An experimental study of flow and heat transfer in a differentially side heated cavity filled with coarse porous media. International Journal of Heat and Mass Transfer, 143, 118591. doi: https://doi.org/10.1016/j.ijheatmasstransfer.2019.118591
- Gowda, B. M. K., Rajagopal, M. S., Aswatha, Seetharamu, K. N. (2019). Heat transfer in a side heated trapezoidal cavity with openings. Engineering Science and Technology, an International Journal, 22 (1), 153–167. doi: https://doi.org/10.1016/j.jestch.2018.04.017
- García, F., Treviño, C., Lizardi, J., Martínez-Suástegui, L. (2019). Numerical study of buoyancy and inclination effects on transient mixed convection in a channel with two facing cavities with discrete heating. International Journal of Mechanical Sciences, 155, 295–314. doi: https://doi.org/10.1016/j.ijmecsci.2019.03.001
- Laouira, H., Mebarek-Oudina, F., Hussein, A. K., Kolsi, L., Merah, A., Younis, O. (2019). Heat transfer inside a horizontal channel with an open trapezoidal enclosure subjected to a heat source of different lengths. Heat Transfer-Asian Research, 49 (1), 406–423. doi: https://doi.org/10.1002/htj.21618
- Abaas, A. A. A., Hussain, H. M., Saieed, A. N. A., Habeeb, L. J., Jalghaf, H. K. (2020). Computational Investigation on Free and Forced Convection inside an Enclosure. Journal of Mechanical Engineering Research and Developments, 43 (5), 318–331.
- Mustafa, M. A. S., Jassim, L., Jasim, N. Y., Habeeb, L. J. (2020). Combined Free and Forced Convection inside an Enclosure. Journal of Mechanical Engineering Research and Developments, 43 (6), 472–486.
- Bahoosh, R., Mohamadi, F., Karimi, M. (2015). Numerical Investigation of Natural Convection in a Square Cavity with Tilting Walls. Journal of Thermophysics and Heat Transfer, 29 (4), 725–731. doi: https://doi.org/10.2514/1.t4467
- Hamid, M., Usman, M., Khan, Z. H., Haq, R. U., Wang, W. (2019). Heat transfer and flow analysis of Casson fluid enclosed in a partially heated trapezoidal cavity. International Communications in Heat and Mass Transfer, 108, 104284. doi: https://doi.org/10.1016/j.icheatmasstransfer.2019.104284
- Hussein, M., Kalash, A., Al-Beldawee, I., Habeeb, L. (2019). Numerical Investigation of Free Convection Heat Transfer from Two-Dimensional Rectangular Enclosure with Discrete Isothermal Heating from Bottom Side. International Journal of Heat and Technology, 37 (4), 1141–1150. doi: https://doi.org/10.18280/ijht.370424
- Mohammed, A. A., Al- Musawi, S. T. M., Ayed, S. K., Alkhatat, A., Habeeb, L. J. (2020). Natural Convection Heat Transfer In Horizontal Elliptic Cavity With Eccentric Circular Inner Cylinder. Journal of Mechanical Engineering Research and Developments, 43 (7), 340–355.
- Alguboori, A. R., Al-azzawi, M. M., Kalash, A. R., Habeeb, L. J. (2020). Natural Convection Heat Transfer in an Inclined Elliptic Enclosure with Circular Heat Source. Journal of Mechanical Engineering Research and Developments, 43 (6), 207–222.
- Al-azzawi, M. M., Abdullah, A. R., Majel, B. M., Habeeb, L. J. (2021). Experimental Investigation of the Effect of Forced Vibration on Natural Convection Heat Transfer in a Concentric Vertical Cylinder. Journal of Mechanical Engineering Research and Developments, 44 (3), 56–65.
- Alturaihi, M. H., Jassim, L., ALguboori, A. R., Habeeb, L. J., Jalghaf, H. K. (2020). Porosity Influence on Natural Convection Heat Transfer from a Heated Cylinder in a Square Porous Enclosure. Journal of Mechanical Engineering Research and Developments, 43 (6), 236–254.
- Habeeb, L. J. (2012). Free Convective Heat Transfer in an Enclosure Filled with Porous media with and without Insulated Moving Wall. World Academy of Science, Engineering and Technology 69 2012. ICAMAME 2012: International Conference on Aerospace, Mechanical, Automotive and Materials Engineering. Berlin.
- Mahmood, M. A., Mustafa, M. A., M. Al-Azzawi, M., Abdullah, A. R. (2020). Natural Convection Heat transfer in a Concentric Annulus Vertical Cylinders embedded with Porous Media. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 66 (2), 65–83.
- Ayed, S. K., Al guboori, A. R., Hussain, H. M., Habeeb, L. J. (2021). Review On Enhancement Of Natural Convection Heat Transfer Inside Enclosure. Journal of Mechanical Engineering Research and Developments, 44 (1), 123–134.
- Mashkour, M. A., Hadi, J. M., Jary, A. M., Habeeb, L. J. (2021). Review on Natural Convection Heat Transfer in an Enclosures and Cavities. Journal of Mechanical Engineering Research and Developments, 44 (6), 372–378.
- Chen, Y. C., Chung, J. N., Wu, C. S., Lue, Y. F. (2000). Non-Darcy mixed convection in a vertical channel filled with a porous medium. International Journal of Heat and Mass Transfer, 43 (13), 2421–2429. doi: https://doi.org/10.1016/s0017-9310(99)00299-9
- Jumah, R. Y., Fawzi, A., Abu‐Al‐Rub, F. (2001). Darcy‐Forchheimer mixed convection heat and mass transfer in fluid saturated porous media. International Journal of Numerical Methods for Heat & Fluid Flow, 11 (6), 600–618. doi: https://doi.org/10.1108/09615530110399503
- Wong, K.-C., Saeid, N. H. (2009). Numerical study of mixed convection on jet impingement cooling in a horizontal porous layer under local thermal non-equilibrium conditions. International Journal of Thermal Sciences, 48 (5), 860–870. doi: https://doi.org/10.1016/j.ijthermalsci.2008.06.004
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