Analysing entropy generation of MHD (50:50) slip flow over an inclined needle

  • Selvaraj Priya Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
  • Gundada Raju Rajamani Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
  • Bhose Ganga Department of Mathematics, Providence College for Women, Coonoor 643104, India
  • Abdul Kaffoor Abdul Hakeem Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
  • Pachiyappan Ragupathi Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
Article ID: 106
4996 Views, 2152 PDF Downloads
Keywords: inclined needle; heat transfer; hybrid nanofluid; entropy generation; Bejan number

Abstract

The primary objective of this study is to quantify the rate of entropy generation within the magnetohydrodynamic (MHD) slip flow system over the inclined needle. Entropy generation is a measure of the irreversibility and inefficiency in the flow process. The slip flow condition at the fluid interface can significantly impact the flow characteristics and heat transfer rates. In the hybrid nanofluid flow, which consists of non-magnetic and magnetic (Al2O3 and Fe3O4) nanoparticles,  H2O+C2H6O2 (50:50) are considered as the base fluid. Furthermore, the effects of inclined magnetic fields are taken into interpretation. The PDE’s governing equations are converted into ODE’s using similarity transformations and solved by a numerical technique based on BVP4C. The results illustrate that crucial parameters such as the magnetic parameter, mixed convection parameter, nanoparticles of solid volume fractions, and Prandtl numbers are pointedly impacted by momentum and thermal profiles. The entropy and Bejan number also consider being various relationship-combined parameters. These analyses protest that raising the magnetic parameter estates an increase in the hybrid nanofluid thermal profile under slip circumstances. Examined magnetic field impact on flow and entropy generation in MHD flows, revealing significant changes in entropy generation due to interaction between magnetic field and nanoparticles. This analysis understands the impact of MHD and slip effects on entropy generation, particularly in the context of the newly emerging 50:50 fluid mixture. Hybrid nanofluids have been shown to have improved thermal conductivity compared to traditional fluids, which can enhance the cooling or heating capabilities of the inclined needle.

References

[1]Balmforth NJ, Craster RV, Rust AC, Sassi R. Viscoplastic flow over an inclined surface. Journal of Non-Newtonian Fluid Mechanics 2007; 142(1–3): 219–243. doi: 10.1016/j.jnnfm.2006.07.013

[2]Wong J, Lindstrom M, Bertozzi AL. Fast equilibration dynamics of viscous particle-laden flow in an inclined channel. Journal of Fluid Mechanics 2019; 879: 28–53. doi: 10.1017/jfm.2019.685

[3]Bano N, Singh BB. An integral treatment for coupled heat and mass transfer by natural convection from a radiating vertical thin needle in a porous medium. International Communications in Heat and Mass Transfer 2017; 84: 41–48. doi: 10.1016/j.icheatmasstransfer.2017.03.007

[4]Choi SUS, Eastman JA. Enhancing thermal conductivity of fluids with nanoparticles. In: Proceedings of 1995 International Mechanical Engineering Congress and Exhibition; 12–17 November 1995; San Francisco, US.

[5]Iqbal Z, Yashodha S, Abdul Hakeem AK, et al. Energy transport analysis in natural convective flow of water: Ethylene glycol (50:50)-based nanofluid around a spinning down-pointing vertical cone. Frontiers in Materials 2022; 9: 1037201. doi: 10.3389/fmats.2022.1037201

[6]Ganesh NV, Al-Mdallal QM, Reena K, Aman S. Blasius and Sakiadis slip flow of H2O–C2H6O2 (50:50) based nanoliquid with different geometry of boehmite alumina nanoparticles. Case Studies in Thermal Engineering 2019; 16: 100546. doi: 10.1016/j.csite.2019.100546

[7]Chamkha AJ, Rashad AM, Mansour MA, et al. Effects of heat sink and source and entropy generation on MHD mixed convection of a Cu-water nanofluid in a lid-driven square porous enclosure with partial slip. Physics of Fluids 2017; 29(5): 052001. doi: 10.1063/1.4981911

[8]Khan WA. Significance of magnetized Williamson nanofluid flow for ferromagnetic nanoparticles. Waves in Random and Complex Media 2023. doi: 10.1080/17455030.2023.2207390

[9]Khan WA. Impact of time-dependent heat and mass transfer phenomenon for magnetized Sutterby nanofluid flow. Waves in Random and Complex Media 2022. doi: 10.1080/17455030.2022.2140857

[10]Irfan M, Khan WA, Pasha AA, et al. Significance of non-Fourier heat flux on ferromagnetic Powell-Eyring fluid subject to cubic autocatalysis kind of chemical reaction. International Communications in Heat and Mass Transfer 2022; 138: 106374. doi: 10.1016/j.icheatmasstransfer.2022.106374

[11]Anjum N, Khan WA, Hobiny A, et al. Numerical analysis for thermal performance of modified Eyring Powell nanofluid flow subject to activation energy and bioconvection dynamic. Case Studies in Thermal Engineering 2022; 39: 102427. doi: 10.1016/j.csite.2022.102427

[12]Tabrez M, Khan WA. Exploring physical aspects of viscous dissipation and magnetic dipole for ferromagnetic polymer nanofluid flow. Waves in Random and Complex Media 2022. doi: 10.1080/17455030.2022.2135794

[13]Sajja VS, Gadamsetty R, Muthu P, et al. Significance of Lorentz force and viscous dissipation on the dynamics of propylene glycol: Water subject to Joule heating conveying paraffin wax and sand nanoparticles over an object with a variable thickness. Arabian Journal for Science and Engineering 2022; 47: 15505–15518. doi: 10.1007/s13369-022-06658-z

[14]Sen SSS, Das M, Nayak MK, Makinde OD. Natural convection and heat transfer of micropolar hybrid nanofluid over horizontal, inclined and vertical thin needle with power-law varying boundary heating conditions. Physica Scripta 2023; 98: 015206. doi: 10.1088/1402-4896/aca3d7

[15]Waqas M, Khan WA, Ali Pasha A, et al. Dynamics of bioconvective Casson nanoliquid from a moving surface capturing gyrotactic microorganisms, magnetohydrodynamics and stratifications. Thermal Science and Engineering Progress 2022; 36: 101492. doi: 10.1016/j.tsep.2022.101492

[16]Hussian Z, Khan WA. Impact of thermal-solutal stratifications and activation energy aspects on time-dependent polymer nanoliquid. Waves in Random and Complex Media 2022. doi: 10.1080/17455030.2022.2128229

[17]Salahuddin T, Akram A, Awais M, Khan M. A hybrid nanofluid analysis near a parabolic stretched surface. Journal of the Indian Chemical Society 2022; 99(8): 100558. doi: 10.1016/j.jics.2022.100558

[18]Indhumathi N, Ganga B, Charles S, Abdul Hakeem AK. Magnetohydrodynamics boundary layer flow past a wedge of Casson CuO-TiO2/EG embedded in non-Darcian porous media: Viscous dissipation effects. Journal of Nanofluids 2022; 11(6): 906–914. doi: 10.1166/jon.2022.1888

[19]Salahuddin T, Akram A, Khan M, Altanji M. A curvilinear approach for solving the hybrid nanofluid model. International Communications in Heat and Mass Transfer 2022; 137: 106179. doi: 10.1016/j.icheatmasstransfer.2022.106179

[20]Mahdy A, El-Zahar ER, Rashad AM, et al. The magneto-natural convection flow of a micropolar hybrid nanofluid over a vertical plate saturated in a porous medium. Fluids 2021; 6(6): 202. doi: 10.3390/fluids6060202

[21]El-Zahar ER, Mahdy AEN, Rashad AM, et al. Unsteady MHD mixed convection flow of non-Newtonian Casson hybrid nanofluid in the stagnation zone of sphere spinning impulsively. Fluids 2021; 6(6): 197. doi: 10.3390/fluids6060197

[22]Chamkha AJ, Armaghani T, Mansour MA, et al. MHD convection of an Al2O3–Cu/water hybrid nanofluid in an inclined porous cavity with internal heat generation/absorption. Iranian Journal of Chemistry and Chemical Engineering 2022; 41(3): 936–956. doi: 10.30492/IJCCE.2021.136201.4328

[23]Salahuddin T, Bashir AM, Khan M, et al. Hybrid nanofluid analysis for a class of alumina particles. Chinese Journal of Physics 2022; 77: 2550–2560. doi: 10.1016/j.cjph.2021.11.012

[24]Reddy PS, Sreedevi P, Chamkha AJ. Hybrid nanofluid heat and mass transfer characteristics over a stretching/shrinking sheet with slip effects. Journal of Nanofluids 2023; 12: 251–260. doi: 10.1166/jon.2023.1996

[25]Salahuddin T, Siddique N, Khan M, Chu YM. A hybrid nanofluid flow near a highly magnetized heated wavy cylinder. Alexandria Engineering Journal 2022; 61(2): 1297–1308. doi: 10.1016/j.aej.2021.06.014

[26]Rashad AM, Chamkha AJ, Ismael MA, Salah T. Magnetohydrodynamics natural convection in a triangular cavity filled with a Cu–Al2O3/water hybrid nanofluid with localized heating from below and internal heat generation. Journal of Heat Mass Transfer 2018; 140(7): 072502. doi: 10.1115/1.4039213

[27]Khan WA, Sun H, Shahzad M, et al. Importance of heat generation in chemically reactive flow subjected to convectively heated surface. Indian Journal of Physics 2021; 95: 89–97. doi: 10.1007/s12648-19-01678-2

[28]Khan WA, Waqas M, Chammam W, et al. Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation. Computer Methods and Programs in Biomedicine 2020; 191: 105396. doi: 10.1016/j.cmpb.2020.105396

[29]Khan WA, Ali M, Shahzad M, et al. A note on activation energy and magnetic dipole aspects for cross nanofluid subjected to cylindrical surface. Applied Nanoscience 2020; 10: 3235–3244. doi: 10.1007/s13204-019-01220-0

[30]Khan WA, Ali M, Irfan M, et al. A rheological analysis of nanofluid subjected to melting heat transport characteristics. Applied Nanoscience 2020; 10: 3161–3170. doi: 10.1007/s13204-019-01067-5

[31]Bejan A. A study of entropy generation in fundamental convective heat transfer. Journal of Heat and Mass Transfer 1979; 101(4): 718–725. doi: 10.1115/1.3451063

[32]Mansour MA, Siddiqa S, Reddy Gorla RS, Rashad AM. Effects of heat source and sink on entropy generation and MHD natural convection of a Al2O3–Cu/water hybrid nanofluid filled with square porous cavity. Thermal Science and Engineering Progress 2018; 6: 57–71. doi: 10.1016/j.tsep.2017.10.014

[33]Barman T, Roy S, Chamkha AJ. Entropy generation analysis of MHD hybrid nanofluid flow due to radiation with non-erratic slot-wise mass transfer over a rotating sphere. Alexandria Engineering Journal 2023; 67: 271–286. doi: 10.1016/j.aej.2022.12.051

[34]Khan I, Khan WA, Qasim M, et al. Thermodynamic analysis of entropy generation minimization in thermally dissipating flow over a thin needle moving in a parallel free stream of two Newtonian fluids. Entropy 2019; 21(1): 74. doi: 10.3390/e21010074

[35]Khan S, Ali F, Khan WA, et al. Quasilinearization numerical technique for dual slip MHD Newtonian fluid flow with entropy generation in thermally dissipating flow above a thin needle. Scientific Reports 2021; 11: 15130. doi: 10.1038/s41598-021-94312-3

[36]Chamkha AJ, Rashad AM, Armaghani T, Mansour MA. Effects of partial slip on entropy generation and MHD combined convection in a lid-driven porous enclosure saturated with a Cu-water nanofluid. Journal of Thermal Analysis and Calorimetry 2018; 132(2): 1291–1306. doi: 10.1007/s10973-017-6918-8

[37]Khan WA, Waqas M, Kadry S, et al. On the evaluation of stratification based entropy optimized hydromagnetic flow featuring dissipation aspect and Robin conditions. Computer Methods and Programs in Biomedicine 2020; 190: 105347. doi: 10.1016/j.cmpb.2020.105347

Published
2023-09-19
How to Cite
Priya, S., Rajamani, G. R., Ganga, B., Hakeem, A. K. A., & Ragupathi, P. (2023). Analysing entropy generation of MHD (50:50) slip flow over an inclined needle. Mechanical Engineering Advances, 1(1), 106. https://doi.org/10.59400/mea.v1i1.106
Section
Article