Journal of Applied and Computational Mechanics

Stagnation Point Hybrid Nanofluid Flow and Entropy Production with Influence of Nonlinear Thermal Convection on a Riga Plate with Application of Neural Network Technique

Document Type : Research Paper

Authors

1 Department of Civil Engineering, College of Engineering, King Khalid University, Abha – 61421, Saudi Arabia

2 National University of Sciences and College of Aeronautical Engineering, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan

3 Department of Mathematics, City University of Science and Information Technology, Peshawar 25000, Pakistan

4 Department of Industrial Engineering, College of Engineering, King Khalid University, Abha – 61421, Saudi Arabia

5 Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia

6 Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt

Abstract

This study examines the generation of irreversibility and the behavior of stagnation point hybrid nanofluid flow on a Riga plate. The effects of nonlinear thermally convective and solar radiation are incorporated in the modeled equations. The nanoparticles of (Cu) and (Al2O3) are mixed with Glycol (C3H8O2) to hybridized it. The leading equations have been changed to dimension-free form by using the set of appropriate variables and then have been evaluated by Artificial Neural Network (ANN) approach. It is revealed in this work that, the velocity panels are amplified with expansion in Grashof number and electromagnetic factor while declined with escalation in magnet/electrode factor and nanoparticles concentration. Upsurge, in Eckert number for both the scenarios (Ec < 0) and (Ec > 0), the radiation factor and nanoparticles concentration cause augmentation in thermal characteristics. Radiation factor has positive impacts on Bejan number and generation of Entropy. Moreover, Bejan number is retarded while entropy is augmented with growth in Brinkman number. It is also established in this work that the principle of entropy generation for hybrid nanoparticles supports the efficient delivery of drug in cancer treatment.

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Choi, S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, FED, ASME, New York, 99-105, 1995.
[2] Shah, Z., Khan, A., Khan, W., Alam, M.K., Islam, S., Kumam, P., Thounthong, P., Micropolar gold blood nanofluid flow and radiative heat transfer between permeable channels, Computer Methods and Programs in Biomedicine, 186, 2020, 105197.
[3] Hashemi-Tilehnoee, M., Seyyedi, S.M., del Barrio, E.P., Sharifpur, M., Analysis of natural convection and the generation of entropy within an enclosure filled with nanofluid-packed structured pebble beds subjected to an external magnetic field and thermal radiation, Journal of Energy Storage, 73, 2023, 109223.
[4] Seyyedi, S.M., Hashemi-Tilehnoee, M., Palomo del Barrio, E., Dogonchi, A.S., Ghadami, S.M., Sharifpur, M., Electro-enhanced natural convection analysis for an Al2O3-water-filled enclosure by considering the effect of thermal radiation, Numerical Heat Transfer, Part A: Applications, 2023, 1-20.
[5] Islam, S., Khan, A., Kumam, P., Alrabaiah, H., Shah, Z., Khan, W., Jawad, M., Radiative mixed convection flow of maxwell nanofluid over a stretching cylinder with joule heating and heat source/sink effects, Scientific Reports, 10(1), 2020, 17823.
[6] Acharya, N., Mabood, F., Shahzad, S.A., Badruddin, I.A., Hydrothermal variations of radiative nanofluid flow by the influence of nanoparticles diameter and nanolayer, International Communications in Heat and Mass Transfer, 130, 2022, 105781.
[7] Dogonchi, AS., Chamkha, A.J., Hashemi-Tilehnoee, M., Seyyedi, S.M., Ganji, D.D., Effects of homogeneous-heterogeneous reactions and thermal radiation on magneto-hydrodynamic Cu-water nanofluid flow over an expanding flat plate with non-uniform heat source, Journal of Central South University, 5(26), 2019, 1161-1171.
[8] Abbasi, A., Farooq, W., Tag-ElDin, E.S.M., Khan, S.U., Khan, M.I., Guedri, K., Galal, A.M., Heat transport exploration for hybrid nanoparticle (Cu, Fe3O4)—Based blood flow via tapered complex wavy curved channel with slip features, Micromachines, 13(9), 2022, 1415.
[9] Eid, M.R., Nafe, M.A., Thermal conductivity variation and heat generation effects on magneto-hybrid nanofluid flow in a porous medium with slip condition, Waves in Random and Complex Media, 32(3), 2022, 1103-1127.
[10] Waqas, H., Farooq, U., Liu, D., Abid, M., Imran, M., Muhammad, T., Heat transfer analysis of hybrid nanofluid flow with thermal radiation through a stretching sheet: A comparative study, International Communications in Heat and Mass Transfer, 138, 2022, 106303.
[11] Bhatti, M.M., Öztop, H.F., Ellahi, R., Study of the magnetized hybrid nanofluid flow through a flat elastic surface with applications in solar energy, Materials, 15(21), 2022, 7507.
[12] Khan, D., Kumam, P., Watthayu, W., Khan, I., Heat transfer enhancement and entropy generation of two working fluids of MHD flow with titanium alloy nanoparticle in Darcy medium, Journal of Thermal Analysis and Calorimetry, 147(19), 2022, 10815-10826.
[13] Lone, S.A., Khan, A., Gul, T., Mukhtar, S., Alghamdi, W., Ali, I., Entropy generation for stagnation point dissipative hybrid nanofluid flow on a Riga plate with the influence of nonlinear convection using neural network approach, Colloid and Polymer Science, 2024, 1-26.
[14] Hashemi-Tilehnoee, M., Tashakor, S., Dogonchi, A.S., Seyyedi, S.M., Khaleghi, M., Entropy generation in concentric annuli of 400 kV gas-insulated transmission line, Thermal Science and Engineering Progress, 19, 2020, 100614.
[15] Khan, D., Kumam, P., Watthayu, W., Yassen, M.F., A novel multi fractional comparative analysis of second law analysis of MHD flow of Casson nanofluid in a porous medium with slipping and ramped wall heating, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2023, e202100424.
[16] Guedri, K., Khan, A., Gul, T., Mukhtar, S., Alghamdi, W., Yassen, M.F., Tag Eldin, E., Thermally dissipative flow and Entropy analysis for electromagnetic trihybrid nanofluid flow past a stretching surface, ACS Omega, 7(37), 2022, 33432-33442.
[17] Egbueri, J.C., Incorporation of information entropy theory, artificial neural network, and soft computing models in the development of integrated industrial water quality index, Environmental Monitoring and Assessment, 194(10), 2022, 693.
[18] Khan, D., Kumam, P., Watthayu, W., Multi-generalized slip and ramped wall temperature effect on MHD Casson fluid: second law analysis, Journal of Thermal Analysis and Calorimetry, 147(23), 2022, 13597-13609.
[19] Khan, D., Asogwa, K.K., Akkurt, N., Kumam, P., Watthayu, W., Sitthithakerngkiet, K., Development of generalized Fourier and Fick’s law of electro-osmotic MHD flow of sodium alginate based Casson nanofluid through inclined microchannel: exact solution and entropy generation, Scientific Reports, 12(1), 2022, 18646.
[20] Khan, A., Shah, Z., Alzahrani, E., Islam, S., Entropy generation and thermal analysis for rotary motion of hydromagnetic Casson nanofluid past a rotating cylinder with Joule heating effect, International Communications in Heat and Mass Transfer, 119, 2020, 104979.
[21] Khan, A., Saeed, A., Gul, T., Mukhtar, S., Ali, I., Jawad, M., Radiative swirl motion of hydromagnetic Casson nanofluid flow over rotary cylinder using Joule dissipation impact, Physica Scripta, 96(4), 2021, 045206.
[22] Sharma, J., Ahammad, N.A., Wakif, A., Shah, N.A., Chung, J.D., Weera, W., Solutal effects on thermal sensitivity of casson nanofluids with comparative investigations on Newtonian (water) and non-Newtonian (blood) base liquids, Alexandria Engineering Journal, 71, 2023, 387-400.
[23] Bhadauria, B.S., Kumar, A., Rawat, S.K., Yaseen, M., Thermal instability of Tri-hybrid Casson nanofluid with thermal radiation saturated porous medium in different enclosures, Chinese Journal of Physics, 87, 2024, 710-727.
[24] Majeed, A.H., Mahmood, R., Shahzad, H., Pasha, A.A., Raizah, Z.A., Hosham, H.A., Hafeez, M.B., Heat and mass transfer characteristics in MHD Casson fluid flow over a cylinder in a wavy channel: Higher-order FEM computations, Case Studies in Thermal Engineering, 42, 2023, 102730.
[25] Raje, A., Koyani, F., Bhise, A.A., Ramesh, K., Heat transfer and entropy optimization for unsteady MHD Casson fluid flow through a porous cylinder: Applications in nuclear reactors, International Journal of Modern Physics B, 37(25), 2023, 2350293.
[26] Tijani, Y.O., Oloniiju, S.D., Kasali, K.B., Akolade, M.T., Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection, Heat Transfer, 51(6), 2022, 5659-5678.
[27] Saleem, K.B., Marafie, A.H., Al-Farhany, K., Hussam, W.K., Sheard, G.J., Natural convection heat transfer in a nanofluid filled l-shaped enclosure with time-periodic temperature boundary and magnetic field, Alexandria Engineering Journal, 69, 2023, 177-191.
[28] Bittencourt, F.L.F., Debenest, G., Martins, M.F., Free convection development caused by bed shrinkage in a vacuum-induced smoldering reactor, Chemical Engineering Journal, 430, 2022, 132847.
[29] Bilal, M., Ayed, H., Saeed, A., Brahmia, A., Gul, T., Kumam, P., The parametric computation of nonlinear convection magnetohydrodynamic nanofluid flow with internal heating across a fixed and spinning disk, Waves in Random and Complex Media, 2022, 1-16.
[30] Nasir, M., Waqas, M., Kausar, M.S., Bég, O.A., Zamri, N., Cattaneo-Christov dual diffusive non-Newtonian nanoliquid flow featuring nonlinear convection, Chinese Journal of Physics, 89, 2024, 1164-1181.
[31] Kukreja, H., Bharath, N., Siddesh, C.S., Kuldeep, S., An introduction to artificial neural network, International Journal of Advance Research and Innovative Ideas in Education, 1, 2016, 27-30.
[32] Morimoto, M., Fukami, K., Zhang, K., Fukagata, K., Generalization techniques of neural networks for fluid flow estimation, Neural Computing and Applications, 2022, 1-23.
[33] Li, A., Yuen, A.C.Y., Wang, W., Chen, T.B.Y., Lai, C.S., Yang, W., Wu, W., Chan, Q.N., Kook, S., Yeoh, G.H., Integration of computational fluid dynamics and artificial neural network for optimization design of battery thermal management system, Batteries, 8(7), 2022, 69.
[34] Affonso, R.R., Dam, R.S., Salgado, W.L., da Silva, A.X., Salgado, C.M., Flow regime and volume fraction identification using nuclear techniques, artificial neural networks and computational fluid dynamics, Applied Radiation and Isotopes, 159, 2020, 109103.
[35] Mulashani, A.K., Shen, C., Nkurlu, B.M., Mkono, C.N., Kawamala, M., Enhanced group method of data handling (GMDH) for permeability prediction based on the modified Levenberg Marquardt technique from well log data, Energy, 239, 2022, 121915.
[36] Lv, C., Xing, Y., Zhang, J., Na, X., Li, Y., Liu, T., Wang, F.Y., Levenberg–Marquardt backpropagation training of multilayer neural networks for state estimation of a safety-critical cyber-physical system, IEEE Transactions on Industrial Informatics, 14(8), 2017, 3436-3446.
[37] Raja, M.A.Z., Shoaib, M., Tabassum, R., Khan, N.M., Kehili, S., Bafakeeh, O.T., Stochastic numerical computing for entropy optimized of Darcy-Forchheimer nanofluid flow: Levenberg Marquardt Algorithm, Chemical Physics Letters, 807, 2022, 140070.
[38] Rehman, K.U., Shatanawi, W., Çolak, A.B., Computational Analysis on Magnetized and Non-Magnetized Boundary Layer Flow of Casson Fluid Past a Cylindrical Surface by Using Artificial Neural Networking, Mathematics, 11(2), 2023, 326.
[39] Aljohani, J.L., Alaidarous, E.S., Raja, M.A.Z., Alhothuali, M.S., Shoaib, M., Backpropagation of Levenberg Marquardt artificial neural networks for wire coating analysis in the bath of Sisko fluid, Ain Shams Engineering Journal, 12(4), 2021, 4133-4143.
[40] Sulaiman, M., Khan, N.A., Alshammari, F.S., Laouini, G., Performance of heat transfer in micropolar fluid with isothermal and isoflux boundary conditions using supervised neural networks, Mathematics, 11(5), 2023, 1173.
[41] Dholey, S., Unsteady separated stagnation-point flows and heat transfer over a plane surface moving normal to the flow impingement, International Journal of Thermal Sciences, 163, 2021, 106688.
[42] Lok, Y.Y., Pop, I., Stretching or shrinking sheet problem for unsteady separated stagnation-point flow, Meccanica, 49, 2014, 1479-1492.
[43] Wang, C.Y., Stagnation flow towards a shrinking sheet, International Journal of Non-Linear Mechanics, 43(5), 2008, 377-382.
[44] Nasir, S., Berrouk, A.S., Aamir, A., Gul, T., Ali, I., Features of flow and heat transport of MoS2+ GO hybrid nanofluid with nonlinear chemical reaction, radiation and energy source around a whirling sphere, Heliyon, 9(4), 2023, e15089.
[45] Salawu, S.O., Obalalu, A.M., Okoya, S.S., Thermal convection and solar radiation of electromagnetic actuator Cu–Al2O3/C3H8O2 and Cu–C3H8O2 hybrid nanofluids for solar collector optimization, Materials Today Communications, 33, 2022, 104763.
[46] Acharya, N., Öztop, H.F., On the entropy analysis and hydrothermal behavior of buoyancy-driven magnetized hybrid nanofluid flow within a semi-circular chamber fitted with a triangular heater: Application to thermal energy storage for energy management, Numerical Heat Transfer, Part A: Applications, 2023, 1-31.
[47] Acharya, N., On the hydrothermal behavior and entropy analysis of buoyancy driven magnetohydrodynamic hybrid nanofluid flow within an octagonal enclosure fitted with fins: Application to thermal energy storage, Journal of Energy Storage, 53, 2022, 105198.
[48] Alharbi, S.O., Gul, T., Khan, I., Khan, M.S., Alzahrani, S., Irreversibility Analysis through Neural Networking of the Hybrid Nanofluid for the Solar Collector Optimization, Scientific Reports, 13, 2023, 13350.
[49] Ishak, A., Lok, Y.Y., Pop, I., Stagnation-point flow over a shrinking sheet in a micropolar fluid, Chemical Engineering Communications, 197(11), 2010, 1417-1427.
Journal of Applied and Computational Mechanics

Articles in Press, Corrected Proof
Available Online from 14 April 2024