Journal of Applied and Computational Mechanics
Analysis of Ferrohydrodynamic Interaction in Unsteady Nanofluid Flow over a Curved Stretching Sheet with Melting Heat Peripheral Conditions
Document Type : Research Paper
Authors
1 Department of Mathematical Sciences, Augustine University Ilara-Epe, Lagos, Nigeria
2 Department of Mathematics and statistics Hazara University Mansehra, 21300 Pakistan
3 Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Nigeria
4 Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Sindh, Pakistan
5 Department of Mathematics and Statistics, Kwara State University, Malete, Nigeria
Abstract
Studying the impact of Ferrohydrodynamic interaction on the flow of Casson‑Williamson nanofluid present a significant insight into complex fluid behaviour in several fields including aerospace engineering, energy systems, drug delivery, chemical engineering, and various industries. Owing to its usage, current investigation deals with effect of magnetic dipole on the time‑based unsteady nanofluid flow of homogeneous and heterogeneous reaction driven by a curved stretching sheet with slip and melting heat boundary conditions. This research predicts the optimal ranges of parameters for achieving higher heat transport performance by studying the Cattaneo-Christov heat flux model and an exponential heat source. The governing equations are converted into dimensionless form by employing suitable similarity transformations. The Galerkin-weighted residual technique is used to numerically solve the resulting non-dimensional equations with the assistance of the MATHEMATICA 11.3 software. The outcome indicates that the thermal buoyancy parameter significantly enhances fluid motion, while the thermal radiation parameter reduces the fluid temperature. This outcome greatly influences the prospective uses of Ferrohydrodynamic interaction in enhancing heat and mass transport in nanofluid cooling systems.
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] Wen, D., Lin, G., Vafaei, S., Zhang, K., Review of nanofluids for heat transfer applications, Particuology, 7(2), 2009, 141-150.
[2] Wu, D., Zhu, H., Wang, L., Liu, L., Critical issues in nanofluids preparation, characterization, and thermal conductivity, Current Nanoscience, 5(1), 2009, 103-112.
[3] Saidur, R., Leong, K.Y., Mohammed, H.A., A review on applications and challenges of nanofluids, Renewable and Sustainable Energy Reviews, 15(3), 2011, 1646-1668.
[4] Bhogare, R.A., Kothawale, B.S., A review on applications and challenges of nanofluids as coolant in automobile radiator, International Journal of Scientific and Research Publications, 3(8), 2013, 1-11.
[5] Sajid, M.U., Ali, H.M., Recent advances in the application of nanofluids in heat transfer devices: a critical review, Renewable and Sustainable Energy Reviews, 103, 2019, 556-592.
[6] Younes, H., Mao, M., Murshed, S.S., Lou, D., Hong, H., Peterson, G.P., Nanofluids: Key parameters to enhance thermal conductivity and its applications, Applied Thermal Engineering, 207, 2022, 118202.
[7] Nagaraja, K.V., et al., Thermal conductivity performance in sodium alginate based Casson nanofluid flow by a curved Riga surface, Frontiers in Materials, 10, 2023, 1253090.
[8] Darvesh, A., Altamirano, G.C., Sánchez‐Chero, M., Zamora, WR., Campos, F.G., Sajid, T., Ayub, A., Variable chemical process and radiative nonlinear impact on magnetohydrodynamics Cross nanofluid: An approach toward controlling global warming, Heat Transfer, 52(3), 2023, 2559-2575.
[9] Madhukesh, J.K., Sarris, I.E., Vinutha, K., Prasannakumara, B.C., Abdulrahman, A., Computational analysis of ternary nanofluid flow in a microchannel with nonuniform heat source/sink and waste discharge concentration, Numerical Heat Transfer, Part A: Applications, 2023, DOI: 10.1080/10407782.2023.2240509.
[10] Madhukesh, J.K., Paramesh, S.O., Prasanna, G.D., Prasannakumara, B.C., Khan, M.I., Abdullaev, S., Rasool, G., Impact of magnetized nanoparticle aggregation over a Riga plate with thermal radiation in water‐Al2O3 based nanofluid flow, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2024, e202300270.
[11] Assael, M.J., Antoniadis, K.D., Wakeham, W.A., Zhang, X., Potential applications of nanofluids for heat transfer, International Journal of Heat and Mass Transfer, 138, 2019, 597-607.
[12] Yousef, N.S., Megahed, A.M., Ghoneim, N.I., Elsafi, M., Fares, E., Chemical reaction impact on MHD dissipative Casson-Williamson nanofluid flow over a slippery stretching sheet through porous medium, Alexandria Engineering Journal, 61(12), 2022, 10161-10170.
[13] Humane, P.P., Patil, V.S., Patil, A.B., Chemical reaction and thermal radiation effects on magnetohydrodynamics flow of Casson–Williamson nanofluid over a porous stretching surface, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 235(6), 2021, 2008-2018.
[14] Mangathai, P., Unsteady MHD Williamson and Casson nano fluid flow in the presence of radiation and viscous dissipation, Turkish Journal of Computer and Mathematics Education, 12(13), 2021, 1036-1051.
[15] Salawu, S.O., Obalalu, A.M., Fatunmbi, E., Oderinu, R., Thermal Prandtl-Eyring hybridized MoS2-SiO2/C3H8O2 and SiO2-C3H8O2 nanofluids for effective solar energy absorber and entropy optimization: a solar water pump implementation, Journal of Molecular Liquids, 361, 2022, 119608.
[16] Olayemi, O.A., Obalalu, A.M., Odetunde, C.B., Ajala, O.A., Heat transfer enhancement of magnetized nanofluid flow due to a stretchable rotating disk with variable thermophysical properties effects, The European Physical Journal Plus, 137, 2022, 1–12.
[17] Madhukesh, J.K., Kumar, R.N., Gowda, R.P., Prasannakumara, B.C., Ramesh, G.K., Khan, M.I., Chu, Y.M., Numerical simulation of AA7072-AA7075/water-based hybrid nanofluid flow over a curved stretching sheet with Newtonian heating: A non-Fourier heat flux model approach, Journal of Molecular Liquids, 335, 2021, 116103.
[18] Kumar, P., Nagaraja, B., Almeida, F., AjayKumar, A.R., Al-Mdallal, Q., Jarad, F., Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force, Scientific Reports, 13(1), 2023, 12770.
[19] Falodun, B.O., Ige, E.O., Linear and quadratic multiple regressions analysis on magneto-thermal and chemical reactions on the Casson- Williamson nanofluids boundary layer flow under Soret-Dufour mechanism, Arab Journal of Basic and Applied Sciences, 29(1), 2022, 269- 286.
[20] Obalalu, A.M., Adebayo, L.L., Colak, I., Ajala, A.O., Wahaab, FA., Entropy generation minimization on electromagnetohydrodynamic radiative Casson nanofluid flow over a melting Riga plate, Heat Transfer, 51(5), 2022, 3951- 3978.
[21] Obalalu, A., Oreyeni, T., Abbas, A., Memon, M.A., Khan, U., Sherif, E.S.M., Hassan, A.M., Pop, I., Implication of electromagnetohydrodynamic and heat transfer analysis in nanomaterial flow over a stretched surface: applications in solar energy, Case Studies in Thermal Engineering, 49, 2023, 103381.
[22] Haq, I., Naveen Kumar, R., Gill, R., Madhukesh, J.K., Khan, U., Raizah, Z., Jirawattanapanit, A., Impact of homogeneous and heterogeneous reactions in the presence of hybrid nanofluid flow on various geometries, Frontiers in Chemistry, 10, 2022, 1032805.
[23] Karthik, K., Madhukesh, J.K., Kiran, S., K.V., N., Prasannakumara, B.C., Fehmi, G., Impacts of thermophoretic deposition and thermal radiation on heat and mass transfer analysis of ternary nanofluid flow across a wedge, International Journal of Modelling and Simulation, 2024, DOI: 10.1080/02286203.2023.2298234.
[24] Yogeesha, K.M., Megalamani, S.B., Gill, H.S., Umeshaiah, M., Madhukesh, J.K., The physical impact of blowing, Soret and Dufour over an unsteady stretching surface immersed in a porous medium in the presence of ternary nanofluid, Heat Transfer, 51(7), 2022, 6961-6976.
[25] Yadav, P.K., Yadav, N., A study on the flow of couple stress fluid in a porous curved channel, Computers & Mathematics with Applications, 152, 2023, 1-15
[26] Jaiswal, S., Yadav, P.K., Physics of generalized Couette flow of immiscible fluids in anisotropic porous medium, International Journal of Modern Physics B, 2023, DOI: 10.1142/S0217979224503776.
[27] Yadav, P.K., Kumar, A., El-Sapa, S., Chamkha, A.J., Impact of thermal radiation and oriented magnetic field on the flow of two immiscible fluids through porous media with different porosity, Waves in Random and Complex Media, 2022, DOI: 10.1080/17455030.2022.2118897.
[28] Yadav, PK., Verma, A.K., Analysis of the MHD flow of immiscible fluids with variable viscosity in an inclined channel, Journal of Applied Mechanics and Technical Physics, 64(4), 2023, 618-627.
[29] Darvesh, A., Sánchez‐Chero, M., Sánchez‐Chero, J.A., Hernández, V.D.H., Guachilema, M.D.C., Reyna‐Gonzalez, J.E., Influence of motile gyrotactic microorganisms over cylindrical geometry attached Cross fluid flow mathematical model, Heat Transfer, 52(6), 2023, 4293-4316.
[30] Odenbach, S., Magnetic fluids-suspensions of magnetic dipoles and their magnetic control, Journal of Physics: Condensed Matter, 15(15), 2003, S1497.
[31] Wang, Z., Holm, C., Müller, H.W., Boundary condition effects in the simulation study of equilibrium properties of magnetic dipolar fluids, The Journal of Chemical Physics, 119(1), 2003, 379-387.
[32] Zeeshan, A., Majeed, A., Ellahi, R., Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation, Journal of Molecular Liquids, 215, 2016, 549-554.
[33] Zeeshan, A., Majeed, A., Fetecau, C., Muhammad, S., Effects on heat transfer of multiphase magnetic fluid due to circular magnetic field over a stretching surface with heat source/sink and thermal radiation, Results in Physics, 7, 2017, 3353-3360.
[34] Darvesh, A., Altamirano, G.C., Sánchez‐Chero, M., Sánchez‐Chero, J.A., Seminario‐Morales, M.V., Alvarez, M.T., Characterization of Cross nanofluid based on infinite shear rate viscosity with inclination of magnetic dipole over a three‐dimensional bidirectional stretching sheet, Heat Transfer, 51(8), 2022, 7287-7306.
[35] Ayub, A., Wahab, H.A., Sabir, Z., Arbi, A., A note on heat transport with the aspect of magnetic dipole and higher order chemical process for steady micropolar fluid, Computational Overview of Fluid Structure Interaction, 97, 2020.
[36] Kumar, V., Madhukesh, J.K., Jyothi, A.M., Prasannakumara, B.C., Khan, M.I., Chu, Y.M., Analysis of single and multi-wall carbon nanotubes (SWCNT/MWCNT) in the flow of Maxwell nanofluid with the impact of magnetic dipole, Computational and Theoretical Chemistry, 1200, 2021, 113223.
[37] Umeshaiah, M., Madhukesh, J., Khan, U., Rana, S., Zaib, A., Raizah, Z., Galal, A.M., Dusty nanoliquid flow through a stretching cylinder in a porous medium with the influence of the melting effect, Processes, 10(6), 2022, 1065.
[38] Yadav, P.K., Verma, A.K., Analysis of immiscible Newtonian and non-Newtonian micropolar fluid flow through porous cylindrical pipe enclosing a cavity, The European Physical Journal Plus, 135, 2020, 1-35.
[39] Christov, C.I., On frame indifferent formulation of the Maxwell–Cattaneo model of finite-speed heat conduction, Mechanics Research Communications, 36(4), 2009, 481-486.
[40] Han, S., Zheng, L., Li, C., Zhang, X., Coupled flow and heat transfer in viscoelastic fluid with Cattaneo–Christov heat flux model, Applied Mathematics Letters, 38, 2014, 87-93.
[41] Hayat, T., Khan, M. I., Farooq, M., Alsaedi, A., Waqas, M., Yasmeen, T., Impact of Cattaneo–Christov heat flux model in flow of variable thermal conductivity fluid over a variable thickened surface, International Journal of Heat and Mass Transfer, 99, 2016, 702-710.
[42] Khan, M., Khan, W.A., Three-dimensional flow and heat transfer to Burgers fluid using Cattaneo-Christov heat flux model, Journal of Molecular Liquids, 221, 2016, 651-657.
[43] Deo, S., Yadav, P.K., Stokes flow past a swarm of porous nanocylindrical particles enclosing a solid core, International Journal of Mathematics and Mathematical Sciences, 2008, 651910.
[44] Yadav, P.K., Jaiswal, S., Puchakatla, J.Y., Yadav, M.K., Flow through membrane built up by impermeable spheroid coated with porous layer under the influence of uniform magnetic field: effect of stress jump condition, The European Physical Journal Plus, 136(1), 2021, 1-34.
[45] Khan, M.S., Karim, I., Arifuzzaman, SM., Rahman, M.M., Biswas, P., Williamson fluid flow behaviour of MHD convective-radiative Cattaneo–Christov heat flux type over a linearly stretched-surface with heat generation and thermal-diffusion, Frontiers in Heat and Mass Transfer, 9(1), 2017, 1-11.
[46] Ayub, A., Asjad, M.I., Al-Malki, M.A., Khan, S., Eldin, S.M., Abd El-Rahman, M., Scrutiny of nanoscale heat transport with ion-slip and hall current on ternary MHD cross nanofluid over heated rotating geometry, Case Studies in Thermal Engineering, 53, 2024, 103833.
[47] Shah, S.Z.H., Sabir, Z., Ayub, A., Rashid, A., Sadat, R., Ali, M.R., An efficient numerical scheme for solving the melting transportation of energy with time dependent Carreau nanofluid, South African Journal of Chemical Engineering, 47, 2024, 345-356.
[48] Yadav, P.K., Deo, S., Yadav, M.K., Filippov, A., On hydrodynamic permeability of a membrane built up by porous deformed spheroidal particles, Colloid Journal, 75, 2013, 611-622.
[49] Salawu, S., Obalalu, A., Shamshuddin, M., Nonlinear solar thermal radiation efficiency and energy optimization for magnetized hybrid Prandtl–Eyring nanoliquid in aircraft, Arabian Journal for Science and Engineering, 48, 2022, 1–12.
[50] Shankar, B., Yirga, Y., Unsteady heat and mass transfer in MHD flow of nanofluids over stretching sheet with a non-uniform heat source/sink, International Journal of Mathematical, Computational, Statistical, Natural and Physical Engineering, 7(12), 2013, 1248-1255.
[51] Ramzan, M., Bilal, M., Chung, J.D., MHD stagnation point Cattaneo–Christov heat flux in Williamson fluid flow with homogeneous–heterogeneous reactions and convective boundary condition—A numerical approach, Journal of Molecular Liquids, 225, 2017, 856-862.
[52] Kumar, K.G., Gireesha, B.J., Rudraswamy, N.G., Krishnamurthy, M.R., An unsteady flow and melting heat transfer of a nanofluid over a stretching sheet embedded in a porous medium, International Journal of Applied Mechanics and Engineering, 24(2), 2019, 245-258.
[53] Upadhya, S.M., Raju, C.S.K., Saleem, S., Nonlinear unsteady convection on micro and nanofluids with Cattaneo-Christov heat flux, Results in Physics, 9, 2018, 779-786.
[54] Kumar, K.A., Reddy, J.R., Sugunamma, V., Sandeep, N., MHD flow of chemically reacting Williamson fluid over a curved/flat surface with variable heat source/sink, International Journal of Fluid Mechanics Research, 46(5), 2019, DOI: 10.1615/InterJFluidMechRes.2018025940.
[55] Gherieb, S., Kezzar, M., Ayub, A., Sari, M.R., Khan, U., Muhammad, T., Ali, M.R., Insight into the dynamics of slip and radiative effect on magnetohydrodynamic flow of hybrid ferroparticles over a porous deformable sheet, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 2024, e202300729.
[56] Salawu, S.O., Obalalu, A.M., Akinola, E.I., Current density and thermal propagation of electromagnetic CoFe2O4 and TiO2/C2H6O2+ H2O hybridized Casson nanofluids: a concentrated solar power maximization, Results in Engineering, 18, 2023, 101200.
[57] Darvesh, A., Altamirano, G.C., Inclined magnetic dipole and nanoscale energy exchange with infinite shear rate viscosity of 3D radiative cross nanofluid, Heat Transfer, 51(4), 2022, 3166-3186.
[58] Obalalu, A.M., Salawu, S.O., Olayemi, OA., Ajala, O.A., Issa, K., Analysis of hydromagnetic Williamson fluid flow over an inclined stretching sheet with Hall current using Galerkin Weighted Residual Method, Computers and Mathematics with Applications, 146, 2023, 22-32.
[59] Khan, N.S., Usman, A.H., Sohail, A., Hussanan, A., Shah, Q., Ullah, N., Humphries, U.W., A framework for the magnetic dipole effect on the thixotropic nanofluid flow past a continuous curved stretched surface, Crystals, 11(6), 2021, 645.
[60] Al-Kouz, W., Owhaib, W., Ayub, A., Souayeh, B., Hader, M., Homod, R.Z., Khan, U., Thermal proficiency of magnetized and radiative cross-ternary hybrid nanofluid flow induced by a vertical cylinder, Open Physics, 22(1), 2024, 20230197.
[61] Ayub, A., Sabir, Z., Said, S.B., Baskonus, H.M., Núñez, R.A.S., Sadat, R., Ali, M.R., Analysis of auto cubic catalysis and nanoscale heat transport using the inclined magnetized Cross fluid past over the wedge, Waves in Random and Complex Media, 2023, DOI: 10.1080/17455030.2023.2205961.
[62] Botmart, T., Ayub, A., Sabir, Z., Weera, W., Sadat, R., Ali, M.R., Infinite shear rate aspect of the cross-nanofluid over a cylindrical channel with activation energy and inclined magnetic dipole effects, Waves in Random and Complex Media, 2022, DOI: 10.1080/17455030.2022.2160028.
[63] Ayub, A., Sabir, Z., Said, S.B., Baskonus, H.M., Sadat, R., Ali, M.R., Nature analysis of Cross fluid flow with inclined magnetic dipole, Microsystem Technologies, 29(5), 2023, 697-714.
[64] Khan, S., Ayub, A., Shah, S.Z.H., Sabir, Z., Rashid, A., Shoaib, M., Ali, M.R., Analysis of inclined magnetized unsteady cross nanofluid with buoyancy effects and energy loss past over a coated disk, Arabian Journal of Chemistry, 16(10), 2023, 105161.
)