journal article
Open Access
Feb 27, 2023
Performance of Heat Transfer in Micropolar Fluid with Isothermal and Isoflux Boundary Conditions Using Supervised Neural Networks
Abstract
The current study delivers a numerical investigation on the performance of heat transfer and flow of micropolar fluid in porous Darcy structures with isothermal and isoflux walls (boundary conditions) of a stretching sheet. The dynamics and mechanism of such fluid flows are modelled by nonlinear partial differential equations that are reduced to a system of nonlinear ordinary differential equations by utilizing the porosity of medium and similarity functions. Generally, the explicit or analytical solutions for such nonlinear problems are hard to calculate. Therefore, we have designed a computer or artificial intelligence-based numerical technique. The reliability of neural networks using the machine learning (ML) approach is used with a local optimization technique to investigate the behaviours of different material parameters such as the Prandtl number, micropolar parameters, Reynolds number, heat index parameter, injection/suction parameter on the temperature profile, fluid speed, and spin/rotational behaviour of the microstructures. The approximate solutions determined by the efficient machine learning approach are compared with the classical Runge–Kutta fourth-order method and generalized finite difference approximation on a quasi-uniform mesh. The accuracy of the errors lies around 10−8 to 10−10 between the traditional analytical solutions and machine learning strategy. ML-based techniques solve different problems without discretization or computational work, and are not subject to the continuity or differentiability of the governing model. Moreover, the results are illustrated briefly to help implement microfluids in drug administering, elegans immobilization, and pH controlling processes.
Topics
No keywords indexed for this article. Browse by subject →
References
47
[1]
Sugunamma "Influence of viscous dissipation on MHD flow of micropolar fluid over a slendering stretching surface with modified heat flux model" J. Therm. Anal. Calorim. (2020) 10.1007/s10973-019-08694-8
[2]
Eringen "Theory of micropolar fluids" J. Math. Mech. (1966)
[3]
Rafiq "Computational study on the effects of variable viscosity of micropolar liquids on heat transfer in a channel" J. Therm. Anal. Calorim. (2021) 10.1007/s10973-020-09889-0
[4]
Benoit "Review of heat transfer fluids in tube-receivers used in concentrating solar thermal systems: Properties and heat transfer coefficients" Renew. Sustain. Energy Rev. (2016) 10.1016/j.rser.2015.10.059
[5]
Lohrasbi "Magnetohydrodynamic heat transfer in two-phase flow between parallel plates" Appl. Sci. Res. (1988) 10.1007/bf00384182
[6]
Malashetty "Magnetohydrodynamic heat transfer in two phase flow" Int. J. Eng. Sci. (1992) 10.1016/0020-7225(92)90082-r
[7]
Siddiqui, A.M., Zeb, M., Haroon, T., and Azim, Q.u.A. (2019). Exact solution for the heat transfer of two immiscible PTT fluids flowing in concentric layers through a pipe. Mathematics, 7.
10.3390/math7010081
[8]
Modak "An experimental investigation on heat transfer enhancement in circular jet impingement on hot surfaces by using Al2O3/water nano-fluids and aqueous high-alcohol surfactant solution" Exp. Heat Transf. (2018) 10.1080/08916152.2017.1381655
[9]
Ahmed "Numerical solution of power law fluids flow and heat transfer with a magnetic field in a rectangular duct" Int. Commun. Heat Mass Transf. (2006) 10.1016/j.icheatmasstransfer.2006.06.003
[10]
Chiba "An analytical solution to non-axisymmetric heat transfer with viscous dissipation for non-Newtonian fluids in laminar forced flow" Arch. Appl. Mech. (2008) 10.1007/s00419-007-0141-1
[11]
Hassani "Photocatalytic ozonation of ciprofloxacin from aqueous solution using TiO2/MMT nanocomposite: Nonlinear modeling and optimization of the process via artificial neural network integrated genetic algorithm" Process Saf. Environ. Prot. (2018) 10.1016/j.psep.2018.03.013
[12]
Duan "The impact of hyperglycaemic crisis episodes on long-term outcomes for inpatients presenting with acute organ injury: A prospective, multicentre follow-up study" Front. Endocrinol. (2022) 10.3389/fendo.2022.1057089
[13]
Chen "Nonlinear modeling and harmonic analysis of magnetic resonant WPT system based on equivalent small parameter method" IEEE Trans. Ind. Electron. (2019) 10.1109/tie.2019.2896077
[14]
Ahmed "Motion of a thin film of a fourth grade nanofluid with heat transfer down a vertical cylinder: Homotopy perturbation method application" J. Adv. Res. Fluid Mech. Therm. Sci. (2020)
[15]
Tyurenkova "Material combustion in oxidant flows: Self-similar solutions" Acta Astronaut. (2016) 10.1016/j.actaastro.2015.11.033
[16]
Smirnov "Hydrogen fuel rocket engines simulation using LOGOS code" Int. J. Hydrogen Energy (2014) 10.1016/j.ijhydene.2014.04.150
[17]
Smirnov "Accumulation of errors in numerical simulations of chemically reacting gas dynamics" Acta Astronaut. (2015) 10.1016/j.actaastro.2015.08.013
[18]
Smirnov "Heat and mass transfer in a multi-component chemically reactive gas above a liquid fuel layer" Int. J. Heat Mass Transf. (1985) 10.1016/0017-9310(85)90274-1
[19]
Liu "Homotopy perturbation method for thin film flow and heat transfer over an unsteady stretching sheet with internal heating and variable heat flux" J. Appl. Math. (2012) 10.1155/2012/418527
[20]
"Free vibration and stability analysis of a multi-span pipe conveying fluid using exact and variational iteration methods combined with transfer matrix method" Appl. Math. Model. (2019) 10.1016/j.apm.2019.02.006
[21]
Grabski "Numerical solution of non-Newtonian fluid flow and heat transfer problems in ducts with sharp corners by the modified method of fundamental solutions and radial basis function collocation" Eng. Anal. Bound. Elem. (2019) 10.1016/j.enganabound.2019.09.019
[22]
Raghunatha "Laguerre wavelet numerical solution of micropolar fluid flow in a porous channel with high mass transfer" J. Interdiscip. Math. (2021) 10.1080/09720502.2021.1889787
[23]
Mehryan "Analysis of conjugate natural convection within a porous square enclosure occupied with micropolar nanofluid using local thermal non-equilibrium model" J. Mol. Liq. (2018) 10.1016/j.molliq.2017.11.177
[24]
Aghakhani "Numerical investigation of heat transfer in a power-law non-Newtonian fluid in a C-Shaped cavity with magnetic field effect using finite difference lattice Boltzmann method" Comput. Fluids (2018) 10.1016/j.compfluid.2018.09.012
[25]
Huang "A multi-block finite difference method for seismic wave equation in auxiliary coordinate system with irregular fluid–solid interface" Eng. Comput. (2018) 10.1108/ec-12-2016-0438
[26]
Shiea "Numerical methods for the solution of population balance equations coupled with computational fluid dynamics" Annu. Rev. Chem. Biomol. Eng. (2020) 10.1146/annurev-chembioeng-092319-075814
[27]
Arqub "Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm" Int. J. Numer. Methods Heat Fluid Flow (2018) 10.1108/hff-07-2016-0278
[28]
Alonso, G., Del Del Valle, E., and Ramirez, J.R. (2020). Desalination in Nuclear Power Plants, Woodhead Publishing.
10.1016/b978-0-12-820021-6.00003-x
[29]
Yu "Optimal search mapping among sensors in heterogeneous smart homes" Math. Biosci. Eng (2023) 10.3934/mbe.2023090
[30]
Li "Model-based synthetic geoelectric sampling for magnetotelluric inversion with deep neural networks" IEEE Trans. Geosci. Remote Sens. (2020)
[31]
Fath, B.D. (2018). Encyclopedia of Ecology, Elsevier.
[32]
Xiong, S., Li, B., and Zhu, S. (2022). DCGNN: A single-stage 3D object detection network based on density clustering and graph neural network. Complex Intell. Syst., 1–10.
10.1007/s40747-022-00926-z
[33]
Ahmad Khan, N., and Sulaiman, M. (2022). Heat transfer and thermal conductivity of magneto micropolar fluid with thermal non-equilibrium condition passing through the vertical porous medium. Waves Random Complex Media, 1–25.
10.1080/17455030.2022.2108161
[34]
Liu, K., Yang, Z., Wei, W., Gao, B., Xin, D., Sun, C., Gao, G., and Wu, G. (2022). Novel detection approach for thermal defects: Study on its feasibility and application to vehicle cables. High Volt.
10.1049/hve2.12258
[35]
Khan "Application of Legendre polynomials based neural networks for the analysis of heat and mass transfer of a non-Newtonian fluid in a porous channel" Adv. Contin. Discret. Model. (2022) 10.1186/s13662-022-03676-x
[36]
Li "Analysis of surface pressure pulsation characteristics of centrifugal pump magnetic liquid sealing film" Intern. Flow Mech. Mod. Hydraul. Mach. (2023)
[37]
Khan "Investigation of Three-Dimensional Condensation Film Problem over an Inclined Rotating Disk Using a Nonlinear Autoregressive Exogenous Model" Comput. Intell. Neurosci. (2022) 10.1155/2022/2930920
[38]
Xu "ABC-GSPBFT: PBFT with grouping score mechanism and optimized consensus process for flight operation data-sharing" Inf. Sci. (2023) 10.1016/j.ins.2022.12.068
[39]
Nonlaopon, K., Khan, N.A., Sulaiman, M., Alshammari, F.S., and Laouini, G. (2022). Heat transfer analysis of nanofluid flow in a rotating system with magnetic field using an intelligent strength stochastic-driven approach. Nanomaterials, 12.
10.3390/nano12132273
[40]
Yuan "Phased array guided wave propagation in curved plates" Mech. Syst. Signal Process. (2023) 10.1016/j.ymssp.2022.109821
[41]
Pathak "Numerical investigation of fluid flow and heat transfer in micropolar fluids over a stretching domain" J. Therm. Anal. Calorim. (2022) 10.1007/s10973-022-11268-w
[42]
Guram "Stagnation flows of micropolar fluids with strong and weak interactions" Comput. Math. Appl. (1980) 10.1016/0898-1221(80)90030-9
[43]
Jena "Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate" Int. J. Eng. Sci. (1981) 10.1016/0020-7225(81)90040-9
[44]
Peddieson "An application of the micropolar fluid model to the calculation of a turbulent shear flow" Int. J. Eng. Sci. (1972) 10.1016/0020-7225(72)90072-9
[45]
Alhakami, H., Khan, N.A., Sulaiman, M., Alhakami, W., and Baz, A. (2022). On the Computational Study of a Fully Wetted Longitudinal Porous Heat Exchanger Using a Machine Learning Approach. Entropy, 24.
10.3390/e24091280
[46]
Yu, H., and Wilamowski, B.M. (2018). Intelligent Systems, CRC Press.
10.1201/9781315218427
[47]
Waseem "A soft computing approach based on fractional order DPSO algorithm designed to solve the corneal model for eye surgery" IEEE Access (2020) 10.1109/access.2020.2983823
Metrics
38
Citations
47
References
Details
- Published
- Feb 27, 2023
- Vol/Issue
- 11(5)
- Pages
- 1173
- License
- View
Authors
Cite This Article
Muhammad Sulaiman, Naveed Ahmad Khan, Fahad Sameer Alshammari, et al. (2023). Performance of Heat Transfer in Micropolar Fluid with Isothermal and Isoflux Boundary Conditions Using Supervised Neural Networks. Mathematics, 11(5), 1173. https://doi.org/10.3390/math11051173
Related
You May Also Like
Mitigating the Multicollinearity Problem and Its Machine Learning Approach: A Review
Jireh Yi-Le Chan, Steven Mun Hong Leow · 2022
463 citations
Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial
Roberto Garrappa · 2018
418 citations
Survey on Synthetic Data Generation, Evaluation Methods and GANs
Alvaro Figueira, Bruno Vaz · 2022
344 citations
Roles and Research Trends of Artificial Intelligence in Mathematics Education: A Bibliometric Mapping Analysis and Systematic Review
Gwo-Jen Hwang, Yun-Fang Tu · 2021
271 citations
Auto-Encoders in Deep Learning—A Review with New Perspectives
Shuangshuang Chen, Wei Guo · 2023
265 citations