Significant Effect of Radiation on Combined Convection Vertical Channel with Internal Heat Generation and Boundary Conditions of a Third Kind
DOI:
https://doi.org/10.37934/arnht.18.1.1429Keywords:
Heat Transfer, Free Convection, Non-uniform internal Heating, Fully Developed Vertical ChannelAbstract
Heat transfer process involving combined convection, along with the influence of radiation, within a fully developed vertical channel, holds significant importance in environmental, industrial, and engineering applications. Concerns have arisen regarding the complexity, cost, and time required to understand the heat transfer process, especially when considering radiation effects. This study aims to assess the combined impact of the Robin temperature boundary condition and radiation on flow and heat transfer, to examine the role of viscous dissipation, including its interaction with radiation, in fluid flow and heat transfer and to compare the heat transfer effectiveness under the boundary conditions of Dirichlet, Neumann, and Robin. Various dimensional parameters are systematically tested in this investigation, with particular emphasis on discussing the phenomenon of flow reversal in the presence of radiation. The numerical solution to the Boundary Value Problem (BVP) is achieved using Maple and its built-in routine, dsolve. A validation study on a previously published problem is conducted to ensure the accuracy of the computational approach, considering the added complexity of radiation effects and the transformation of the partial differential equation into an ordinary differential equation applying the similarity technique. Graphical representations of the numerical results for flow and temperature profiles, incorporating radiation effects, are presented. Notably, the occurrence of flow reversal is observed in instances where the values of internal heat generation (G), combined convection parameter (λ), and radiation effects (Rd) were substantial. Conversely, an increase in the values of the local heating exponent (p) and Biot numbers (Bi), while accounting for radiation, eliminated the occurrence of flow reversal.
References
Harding, Kevin Graham. Heat transfer introduction. 2018.
Patil Mallikarjun, B., and L. Kavitha. "Mixed Convection in a Vertical Channel with Sources, Sinks and Thermal Radiation."
Howell, John R., M. Pinar Mengüç, Kyle Daun, and Robert Siegel. Thermal radiation heat transfer. CRC press, 2020.
Yaseen, Moh, Sawan Kumar Rawat, Anum Shafiq, Manoj Kumar, and Kamsing Nonlaopon. "Analysis of heat transfer of mono and hybrid nanofluid flow between two parallel plates in a Darcy porous medium with thermal radiation and heat generation/absorption." Symmetry 14, no. 9 (2022): 1943. https://doi.org/10.3390/sym14091943
Zohuri, Bahman, and Bahman Zohuri. "Forced convection heat transfer." Thermal-Hydraulic Analysis of Nuclear Reactors (2017): 323-345. https://doi.org/10.1007/978-3-319-53829-7_9
Pizzarelli, Marco. "The status of the research on the heat transfer deterioration in supercritical fluids: A review." International Communications in Heat and Mass Transfer 95 (2018): 132-138.
https://doi.org/10.1016/j.icheatmasstransfer.2018.04.006
Kumar, K. Thanesh, Shreedevi Kalyan, Mangala Kandagal, Jagadish V. Tawade, Umair Khan, Sayed M. Eldin, Jasgurpreet Singh Chohan, Samia Elattar, and Ahmed M. Abed. "Influence of heat generation/absorption on mixed convection flow field with porous matrix in a vertical channel." Case Studies in Thermal Engineering 47 (2023): 103049. https://doi.org/10.1016/j.csite.2023.103049
Xu, Hang, and Ioan Pop. "Fully developed mixed convection flow in a vertical channel filled with nanofluids." International communications in heat and mass transfer 39, no. 8 (2012): 1086-1092. https://doi.org/10.1016/j.icheatmasstransfer.2012.06.003
Grosan, T., and I. Pop. "Thermal radiation effect on fully developed mixed convection flow in a vertical channel." Technische Mechanik-European Journal of Engineering Mechanics 27, no. 1 (2007): 37-47.
Patra, R., S. Das, and R. Nath Jana. "Radiation effect on MHD fully developed mixed convection in a vertical channel with asymmetric heating." Journal of Applied Fluid Mechanics 7, no. 3 (2014): 503-512. https://doi.org/10.36884/jafm.7.03.19422
Ojemeri, Ojemeri, Emmanuel Omokhuale, M. Hamza, I. Onwubuya, and Abdulsalam Shuaibu. "A Computational Analysis on Steady MHD Casson Fluid Flow Across a Vertical Porous Channel Affected by Thermal Radiation Effect." International Journal of Science for Global Sustainability 9, no. 1 (2023): 13-13. https://doi.org/10.57233/ijsgs.v9i1.393
Viskanta, Raymond. "Radiation transfer and interaction of convection with radiation heat transfer." In Advances in Heat Transfer, vol. 3, pp. 175-251. Elsevier, 1966. https://doi.org/10.1016/S0065-2717(08)70052-2
Ashraf, Muhammad, S. Asghar, and Md Anwar Hossain. "Thermal radiation effects on hydromagnetic mixed convection flow along a magnetized vertical porous plate." Mathematical Problems in Engineering 2010 (2010). https://doi.org/10.1155/2010/686594
Ashraf, M., S. Asghar, and M. A. Hossain. "Computational study of combined effects of conduction-radiation and hydromagnetics on natural convection flow past magnetized permeable plate." Applied Mathematics and Mechanics 33 (2012): 731-748. https://doi.org/10.1007/s10483-012-1583-7
Elsaid, Essam M., and Mohamed S. Abdel-Wahed. "Mixed convection hybrid-nanofluid in a vertical channel under the effect of thermal radiative flux." Case Studies in Thermal Engineering 25 (2021): 100913. https://doi.org/10.1016/j.csite.2021.100913
Abbas, Amir, Muhammad Ashraf, and Ali Jawad Chamkha. "Combined effects of thermal radiation and thermophoretic motion on mixed convection boundary layer flow." Alexandria Engineering Journal 60, no. 3 (2021): 3243-3252. https://doi.org/10.1016/j.aej.2021.01.038
Hossain, Rumman, A. K. Azad, Md Jahid Hasan, and M. M. Rahman. "Radiation effect on unsteady MHD mixed convection of kerosene oil-based CNT nanofluid using finite element analysis." Alexandria Engineering Journal 61, no. 11 (2022): 8525-8543. https://doi.org/10.1016/j.aej.2022.02.005
Jeng, Yih Nen, Jiann Lin Chen, and Win Aung. "On the Reynolds-number independence of mixed convection in a vertical channel subjected to asymmetric wall temperatures with and without flow reversal." International journal of heat and fluid flow 13, no. 4 (1992): 329-339. https://doi.org/10.1016/0142-727X(92)90003-R
Das, S., R. N. Jana, and O. D. Makinde. "Radiation effect on a fully developed mixed convection in a vertical channel filled with nanofluids." Journal of Nanofluids 4, no. 3 (2015): 362-368. https://doi.org/10.1166/jon.2015.1155
Rashevski, M., S. Slavtchev, and M. Stoyanova. "Natural and mixed convection in a vertical water-flow chamber in the presence of solar radiation." Engineering Science and Technology, an International Journal 33 (2022): 101073. https://doi.org/10.1016/j.jestch.2021.10.005
Hamza, Muhammed Murtala, and Abdulsalam Shuaibu. "Influence of chemical kinetic exponent on transient mixed convective hydromagnetic flow in vertical channel with convective boundary condition." International Journal of Thermofluids 16 (2022): 100220. https://doi.org/10.1016/j.ijft.2022.100220
Ajibade, Abiodun O., Basant K. Jha, and Jeremiah J. Gambo. "Combined effects of viscous and Darcy dissipation on mixed convection flow in a composite vertical channel partially filled with a porous material: Analytical approach." International Communications in Heat and Mass Transfer 136 (2022): 106197. https://doi.org/10.1016/j.icheatmasstransfer.2022.106197
Makinde, O. D. "Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation." Meccanica 47 (2012): 1173-1184. https://doi.org/10.1007/s11012-011-9502-5
Adesanya, Samuel O., and Oluwole D. Makinde. "Thermodynamic analysis for a third grade fluid through a vertical channel with internal heat generation." Journal of Hydrodynamics 27, no. 2 (2015): 264-272. https://doi.org/10.1016/S1001-6058(15)60481-4
Joshi, Navneet, Alok K. Pandey, Himanshu Upreti, and Manoj Kumar. "Mixed convection flow of magnetic hybrid nanofluid over a bidirectional porous surface with internal heat generation and a higher‐order chemical reaction." Heat transfer 50, no. 4 (2021): 3661-3682. https://doi.org/10.1002/htj.22046
Jha, Basant K., and Gabriel Samaila. "Mixed convection flow from a convectively heated vertical porous plate with combined effects of suction/injection, internal heat generation and nonlinear thermal radiation." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 237, no. 4 (2023): 1192-1201. https://doi.org/10.1177/09544089221116963
Mealey, L. R., and J. H. Merkin. "Steady finite Rayleigh number convective flows in a porous medium with internal heat generation." International Journal of Thermal Sciences 48, no. 6 (2009): 1068-1080. https://doi.org/10.1016/j.ijthermalsci.2008.10.008
Yaman, Nurul Asyiqin Mat, Nur Asiah Mohd Makhatar, Mohd Rijal Ilias, Abdul Rahman Mohd Kasim, and Nurul Farahain Mohammad. "Non-Darcy Newtonian Liquid Flow with Internal Heat Generation using Boundary Conditions of the Third Kind of Fully Developed Mixed Convection in a Vertical Channel." CFD Letters 15, no. 10 (2023): 52-70. https://doi.org/10.37934/cfdl.15.10.5270
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
